{"id":752,"date":"2020-06-09T13:01:32","date_gmt":"2020-06-09T13:01:32","guid":{"rendered":"http:\/\/e-academy.com.pk\/cms\/?page_id=752"},"modified":"2023-12-05T17:41:16","modified_gmt":"2023-12-05T17:41:16","slug":"gen-math-ix","status":"publish","type":"page","link":"http:\/\/e-academy.com.pk\/cms\/?page_id=752","title":{"rendered":"Gen-Math-IX"},"content":{"rendered":"\r\n
Chapter 1: Number Systems (12 videos)\u00a0\u205f\u200a(Practice Test<\/a>)<\/h5>\r\n\r\n\r\n\r\n
1.1: Decimal System and Base<\/h6>\r\n\r\n\r\n\r\n
    \r\n
  1. Introduction to Decimal System and Base<\/a><\/li>\r\n
  2. Problem-Introduction to Decimal System and Base<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
    1.2: Base Five System<\/h6>\r\n\r\n\r\n\r\n
      \r\n
    1. Introduction to Base Five System<\/a><\/li>\r\n
    2. Problem-Introduction to Base Five System<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
      1.3: Binay System or Base 2 System<\/h6>\r\n\r\n\r\n\r\n
        \r\n
      1. Introducing Base 2 System<\/a><\/li>\r\n
      2. Problem-Introducing Base 2 System<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
        1.4: Addition and Subtraction in Base 5<\/h6>\r\n\r\n\r\n\r\n
          \r\n
        1. Addition and Subtraction in Base-5<\/a><\/li>\r\n
        2. Problem-Addition and Subtraction in Base-5<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
          1.5: Multiplication in Base 5 System<\/h6>\r\n\r\n\r\n\r\n
            \r\n
          1. Multiplication in Base-5 System<\/a><\/li>\r\n
          2. Problem-Multiplication in Base-5 System<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
            1.6: Basic Operations in Base 2 System<\/h6>\r\n\r\n\r\n\r\n
              \r\n
            1. Basic Operations in Base-2 System<\/a><\/li>\r\n
            2. Problem-Basic Operations in Base-2 System<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
              Chapter 2: Real Numbers and Coordinate System (45 videos)\u00a0\u205f\u200a(Practice Test<\/a>)<\/h5>\r\n\r\n\r\n\r\n
              2.1: Real Number System<\/h6>\r\n\r\n\r\n\r\n
                \r\n
              1. Introduction to Rational Numbers<\/a><\/li>\r\n
              2. Problem 1: Introduction to Rational Numbers<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                2.2: Irrational Numbers<\/h6>\r\n\r\n\r\n\r\n
                  \r\n
                1. Introduction to Irrational Numbers<\/a><\/li>\r\n
                2. Problem 1: Introduction to Irrational Numbers<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                  2.3: Real Numbers<\/h6>\r\n\r\n\r\n\r\n
                    \r\n
                  1. Introduction to Real Numbers<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                    2.4: Properties of the Real Numbers \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                      \r\n
                    1. Closure law of Whole Numbers Addition and Multiplication<\/a><\/li>\r\n
                    2. Closure law of Whole Numbers Subtraction and Division<\/a><\/li>\r\n
                    3. Closure law of Irrational Numbers Addition and Subtraction<\/a><\/li>\r\n
                    4. Closure law of Irrational Numbers Multiplication and Division<\/a><\/li>\r\n
                    5. Commutative Law<\/a><\/li>\r\n
                    6. Commutative law under Subtration and Division<\/a><\/li>\r\n
                    7. Associative Law<\/a><\/li>\r\n
                    8. Associative law of Subtraction and Division<\/a><\/li>\r\n
                    9. Problem 1: Associative Law<\/a><\/li>\r\n
                    10. Additive Identity & Additive Inverse<\/a><\/li>\r\n
                    11. Multiplicative Identity & Inverse<\/a><\/li>\r\n
                    12. Problem 1: Additive Identity & Additive Inverse<\/a><\/li>\r\n
                    13. Distributive Law<\/a><\/li>\r\n
                    14. Distributive Property of Multiplication over Subtraction<\/a><\/li>\r\n
                    15. Problem 1: Multiplicative Identity & Inverse<\/a><\/li>\r\n
                    16. Trichotomy Property of Inequality<\/a><\/li>\r\n
                    17. Problem 1: Distributive Law<\/a><\/li>\r\n
                    18. Problem 1: Distributive law of Multiplication over Subtraction<\/a><\/li>\r\n
                    19. Problem 1: Trichotomy Property of Inequality<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                      2.5: Properties of Equality of Real Numbers \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                        \r\n
                      1. Reflexive And Symmetric Property of Equality<\/a><\/li>\r\n
                      2. Transitive Property of Equality<\/a><\/li>\r\n
                      3. Problem 1: Transitive Property of Equality<\/a><\/li>\r\n
                      4. Additive Property of Equality<\/a><\/li>\r\n
                      5. Multiplicative Property of Equality<\/a><\/li>\r\n
                      6. Cancellation Property of Equality<\/a><\/li>\r\n
                      7. Problem 1: Cancellation Property of Equality<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                        2.6: Properties of Inequality of Real Numbers \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                          \r\n
                        1. Archimedian Property of Inequality<\/a><\/li>\r\n
                        2. Transitive Property of Inequality<\/a><\/li>\r\n
                        3. Problem 1: Transitive Property of Inequality<\/a><\/li>\r\n
                        4. Additive Property of Inequality<\/a><\/li>\r\n
                        5. Multiplicative Property of Inequality<\/a><\/li>\r\n
                        6. Inequality Multiplicative Inverse<\/a><\/li>\r\n
                        7. Problem 1: Multiplicative Property of Inequality<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                          2.7: Ordered Pairs<\/h6>\r\n\r\n\r\n\r\n
                            \r\n
                          1. Introduction to Ordered Pairs<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                            2.8: The Cartesian Product<\/h6>\r\n\r\n\r\n\r\n
                              \r\n
                            1. Cartesian Product of Sets<\/a><\/li>\r\n
                            2. Problem 1: Cartesian Product of Sets<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                              2.9: Coordinate System<\/h6>\r\n\r\n\r\n\r\n
                                \r\n
                              1. Cartesian Coordinate System & Cartesian Plane<\/a><\/li>\r\n
                              2. Problem 1: Cartesian Coordinate System & Cartesian Plane<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                2.10: Catesian Coordinate System for Plane<\/h6>\r\n\r\n\r\n\r\n
                                  \r\n
                                1. Cartesian Coordinate System & Cartesian Plane<\/a><\/li>\r\n
                                2. Problem 1: Cartesian Coordinate System & Cartesian Plane<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                  Chapter 3: Laws of Exponents and Logarithms (61 videos)\u00a0\u205f\u200a(Practice Test<\/a>)<\/h5>\r\n\r\n\r\n\r\n
                                  3.1: Laws of Exponents \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                    \r\n
                                  1. Exponent or Index Definition<\/a><\/li>\r\n
                                  2. Problem 1: Exponent or Index Definition<\/a><\/li>\r\n
                                  3. Law of Sum of Power of Exponents<\/a><\/li>\r\n
                                  4. Law of Power of Product of Exponent<\/a><\/li>\r\n
                                  5. Problem 1: Law of Sum of Power of Exponents<\/a><\/li>\r\n
                                  6. Law of Power of Power of Exponent<\/a><\/li>\r\n
                                  7. Law of Quotient of Power with Same Base<\/a><\/li>\r\n
                                  8. Problem 1: Law of Power of Product of Exponent<\/a><\/li>\r\n
                                  9. Law of Power of a Fraction<\/a><\/li>\r\n
                                  10. Problem 1: Law of Power of Power of Exponent<\/a><\/li>\r\n
                                  11. Problem 1: Law of Quotient of Power with Same Base<\/a><\/li>\r\n
                                  12. Problem 1: Law of Power of a Fraction<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                    3.2: Square Root<\/h6>\r\n\r\n\r\n\r\n
                                      \r\n
                                    1. Square Root<\/a><\/li>\r\n
                                    2. Problem 1: Square Root<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                      3.3: qth Root of a \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                        \r\n
                                      1. Properties of qth Root of x<\/a><\/li>\r\n
                                      2. Problem 1: qth Root of x<\/a><\/li>\r\n
                                      3. qth Root of x<\/a><\/li>\r\n
                                      4. Problem 1: Properties of qth Root of x<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                        3.4: Scientific Notation \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                          \r\n
                                        1. Introduction to Scientific Notation<\/a><\/li>\r\n
                                        2. Problem 1: Introduction to Scientific Notation<\/a><\/li>\r\n
                                        3. Converting Scientific to Common form<\/a><\/li>\r\n
                                        4. Movement of Decimal in Scientific Notation<\/a><\/li>\r\n
                                        5. Problem 1: Converting Scientific to Common form<\/a><\/li>\r\n
                                        6. Converting common to scientific form<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                          3.5: Logarithm \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                            \r\n
                                          1. Logarithm Definition<\/a><\/li>\r\n
                                          2. Converting Exponential to Log Form<\/a><\/li>\r\n
                                          3. Problem 1: Logarithm Definition<\/a><\/li>\r\n
                                          4. Converting Log to Exponential Form<\/a><\/li>\r\n
                                          5. Problem 1: Converting Exponential to Log Form<\/a><\/li>\r\n
                                          6. How to Find Unknown Base in Log Form<\/a><\/li>\r\n
                                          7. How to Find Unknown Number in Log Form<\/a><\/li>\r\n
                                          8. Problem 1: Converting Log to Exponential Form<\/a><\/li>\r\n
                                          9. How to Find Unknown index in Log Form<\/a><\/li>\r\n
                                          10. Law of Change of Base of Logarithm<\/a><\/li>\r\n
                                          11. Product Law of Logarithm<\/a><\/li>\r\n
                                          12. Problem 1: How to Find Unknown Base in Log Form<\/a><\/li>\r\n
                                          13. Power Law of Logarithm<\/a><\/li>\r\n
                                          14. Problem 1: How to Find Unknown Number in Log Form<\/a><\/li>\r\n
                                          15. Quotient Law of Logarithm<\/a><\/li>\r\n
                                          16. Problem 1: How to Find Unknown index in Log Form<\/a><\/li>\r\n
                                          17. Problem 1: Law of Change of Base of Logarithm<\/a><\/li>\r\n
                                          18. Problem 1: Product Law of Logarithm<\/a><\/li>\r\n
                                          19. Problem 1: Power Law of Logarithm<\/a><\/li>\r\n
                                          20. Problem 1: Quotient Law of Logarithm<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                            3.6: Common Logarithm \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                              \r\n
                                            1. Common Logarithm<\/a><\/li>\r\n
                                            2. Problem 1: Common Logarithm<\/a><\/li>\r\n
                                            3. Reference Position in scientific notation<\/a><\/li>\r\n
                                            4. Characteristic & Mantissa of Logarithm<\/a><\/li>\r\n
                                            5. Problem 1: Reference Position in scientific notation<\/a><\/li>\r\n
                                            6. How to Find Characteristic of Given Number<\/a><\/li>\r\n
                                            7. Finding Mantissa of Number by Log Table<\/a><\/li>\r\n
                                            8. Problem 1: Characteristic & Mantissa of Logarithm<\/a><\/li>\r\n
                                            9. Problem 1: How to Find Characteristic of Given Number<\/a><\/li>\r\n
                                            10. Problem 1: Finding Mantissa of Number by Log Table<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                              3.7: Anti-Logarithm<\/h6>\r\n\r\n\r\n\r\n
                                                \r\n
                                              1. Introduction to Anti-Logarithms<\/a><\/li>\r\n
                                              2. Problem 1: Introduction to Anti-Logarithms<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                3.8: Arithematical Computation With the Help of Logarithm<\/h6>\r\n\r\n\r\n\r\n
                                                  \r\n
                                                1. Applications of Logarithm Laws in Calculations<\/a><\/li>\r\n
                                                2. Problem 2: Applications of Logarithm Laws in Calculations<\/a><\/li>\r\n
                                                3. Problem 1: Applications of Logarithm Laws in Calculations<\/a><\/li>\r\n
                                                4. Problem 3: Applications of Logarithm Laws in Calculations<\/a><\/li>\r\n
                                                5. Problem 4: Applications of Logarithm Laws in Calculations<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                  Chapter 4: Statistics (53 videos)\u00a0\u205f\u200a(Practice Test<\/a>)<\/h5>\r\n\r\n\r\n\r\n
                                                  4.1: Introduction<\/h6>\r\n\r\n\r\n\r\n
                                                    \r\n
                                                  1. Concept of Information Handling<\/a><\/li>\r\n
                                                  2. Problem 1: Concept of Information Handling<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                    4.2: Collection of Data \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                      \r\n
                                                    1. Data, Collection of Data, Presentation of Data<\/a><\/li>\r\n
                                                    2. Problem 1: Data, Collection of Data, Presentation of Data<\/a><\/li>\r\n
                                                    3. Introduction to Numerical Data<\/a><\/li>\r\n
                                                    4. Collection of Data Using a Questionnaire<\/a><\/li>\r\n
                                                    5. Collection of Data Through Observation<\/a><\/li>\r\n
                                                    6. Collection of Data Through Interviews<\/a><\/li>\r\n
                                                    7. Collection of Data by Measuring<\/a><\/li>\r\n
                                                    8. Collection of Data by Using electronic means and Internet<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                      4.3: Ungrouped Data<\/h6>\r\n\r\n\r\n\r\n
                                                        \r\n
                                                      1. Types of Data<\/a><\/li>\r\n
                                                      2. Problem 1: Types of Data<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                        4.4: Grouped Data<\/h6>\r\n\r\n\r\n\r\n
                                                          \r\n
                                                        1. Ungrouped & Grouped Data<\/a><\/li>\r\n
                                                        2. Problem 1: Ungrouped & Grouped Data<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                          4.5: Classification of Data<\/h6>\r\n\r\n\r\n\r\n
                                                            \r\n
                                                          1. Classification & No. of Classes<\/a><\/li>\r\n
                                                          2. Problem 1: Classification & No. of Classes<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                            4.6: Tabulation of Data<\/h6>\r\n\r\n\r\n\r\n
                                                              \r\n
                                                            1. Introduction to Tabulation<\/a><\/li>\r\n
                                                            2. Problem 1: Introduction to Tabulation<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                              4.7: Class Interval<\/h6>\r\n\r\n\r\n\r\n
                                                                \r\n
                                                              1. Class interval & Class Limits<\/a><\/li>\r\n
                                                              2. Problem 1: Class interval & Class Limits<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                4.8: Class Frequency<\/h6>\r\n\r\n\r\n\r\n
                                                                  \r\n
                                                                1. Class Frequency<\/a><\/li>\r\n
                                                                2. Problem 1: Class Frequency<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                  4.9: Lower Limit and Upper Limit<\/h6>\r\n\r\n\r\n\r\n
                                                                    \r\n
                                                                  1. Class interval & Class Limits<\/a><\/li>\r\n
                                                                  2. Problem 1: Class interval & Class Limits<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                    4.10: Magnitude of Class Interval<\/h6>\r\n\r\n\r\n\r\n
                                                                      \r\n
                                                                    1. Class interval & Class Limits<\/a><\/li>\r\n
                                                                    2. Problem 1: Class interval & Class Limits<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                      4.11: Frequency Distribution \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                        \r\n
                                                                      1. Construction of Continuous Frequency Table<\/a><\/li>\r\n
                                                                      2. Problem 1: Construction of Continuous Frequency Table<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                        4.12: To Prepare Frequency Distribution Table from Ungrouped Data<\/h6>\r\n\r\n\r\n\r\n
                                                                          \r\n
                                                                        1. Formation of Frequency Distribution byTally Bar Method<\/a><\/li>\r\n
                                                                        2. Problem 1: Formation of Frequency Distribution by Tally Bar Method<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                          4.13: Measures of Central Tendency \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                            \r\n
                                                                          1. Measure of Location<\/a><\/li>\r\n
                                                                          2. Problem 1: Measure of Location<\/a><\/li>\r\n
                                                                          3. Types of Measures of Central Tendency<\/a><\/li>\r\n
                                                                          4. Importance of Measure of Central Tendency<\/a><\/li>\r\n
                                                                          5. Problem 2: Types of Measures of Central Tendency<\/a><\/li>\r\n
                                                                          6. problem 3: Types of Measures of Central Tendency<\/a><\/li>\r\n
                                                                          7. Problem 1: Types of Measures of Central Tendency<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                            4.14: Arithematic Mean \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                              \r\n
                                                                            1. Arithmetic Mean (A.M) for Ungrouped Data<\/a><\/li>\r\n
                                                                            2. Problem 1: A.M of Ungrouped Data by Direct Method<\/a><\/li>\r\n
                                                                            3. Arithmetic Mean (A.M) for Grouped Data by Direct Method<\/a><\/li>\r\n
                                                                            4. Short formula for Computing Arithmetic Mean for Ungrouped Data<\/a><\/li>\r\n
                                                                            5. Problem 1: A.M for Grouped Data by Direct Method<\/a><\/li>\r\n
                                                                            6. Short formula for Computing Arithmetic Mean for Grouped Data<\/a><\/li>\r\n
                                                                            7. Coding Method of Finding Arithmetic Mean<\/a><\/li>\r\n
                                                                            8. Problem 1: A.M for Ungrouped Data by Short formula Method<\/a><\/li>\r\n
                                                                            9. Finding A.M for Grouped Data-Coding Method<\/a><\/li>\r\n
                                                                            10. Problem 1: A.M for Grouped Data by Short formula Method<\/a><\/li>\r\n
                                                                            11. Problem 1: A.M for Ungrouped Data by Coding Method<\/a><\/li>\r\n
                                                                            12. Problem 1: A.M for Grouped Data by Coding Method<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                              4.15: Median<\/h6>\r\n\r\n\r\n\r\n
                                                                                \r\n
                                                                              1. Median for Ungrouped Data<\/a><\/li>\r\n
                                                                              2. Problem 1: Median for Ungrouped Data<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                4.16: Mode<\/h6>\r\n\r\n\r\n\r\n
                                                                                  \r\n
                                                                                1. Mode for Ungrouped Discrete Data<\/a><\/li>\r\n
                                                                                2. Problem 1: Mode for Ungrouped Discrete Data<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                  Chapter 5: Ratio, Proportion, Inheritance and Partnership (25 videos)\u00a0\u205f\u200a(Practice Test<\/a>)<\/h5>\r\n\r\n\r\n\r\n
                                                                                  5.1: Ratio \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                    \r\n
                                                                                  1. Concept of Ratio<\/a><\/li>\r\n
                                                                                  2. Problem 1: Concept of Ratio<\/a><\/li>\r\n
                                                                                  3. Properties of Ratio<\/a><\/li>\r\n
                                                                                  4. Problem 1: Properties of Ratio<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                    5.2: Proportion \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                      \r\n
                                                                                    1. Introduction to Proportion<\/a><\/li>\r\n
                                                                                    2. Problem 1: Introduction to Proportion<\/a><\/li>\r\n
                                                                                    3. Law of Proportion<\/a><\/li>\r\n
                                                                                    4. Problem 1: Law of Proportion<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                      5.3: Proportion Between Two Sets<\/h6>\r\n\r\n\r\n\r\n
                                                                                        \r\n
                                                                                      1. Direct Proportions<\/a><\/li>\r\n
                                                                                      2. Problem 2: Direct Variations<\/a><\/li>\r\n
                                                                                      3. Problem 1: Direct Variations<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                        5.4: Inverse Proportion \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                          \r\n
                                                                                        1. Problem 3: Inverse Variations<\/a><\/li>\r\n
                                                                                        2. Inverse Proportion<\/a><\/li>\r\n
                                                                                        3. More on Inverse Proportion<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                          5.5: Compound Proportion<\/h6>\r\n\r\n\r\n\r\n
                                                                                            \r\n
                                                                                          1. Introducing Compound Proportion<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                            5.6: Continued Ratios<\/h6>\r\n\r\n\r\n\r\n
                                                                                              \r\n
                                                                                            1. Continued Proportional<\/a><\/li>\r\n
                                                                                            2. Problem-Introducing Continued Ratios<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                              5.7: Proportional Division<\/h6>\r\n\r\n\r\n\r\n
                                                                                                \r\n
                                                                                              1. Introducing Proportional Division<\/a><\/li>\r\n
                                                                                              2. Problem-Introducing Proportional Division<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                5.8: Miscellaneous Problems<\/h6>\r\n\r\n\r\n\r\n
                                                                                                  \r\n
                                                                                                1. Miscellaneous Proportional Problems<\/a><\/li>\r\n
                                                                                                2. Problem-Miscellaneous Proportional Problems<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                  5.9: Inheritance \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                    \r\n
                                                                                                  1. Introducing Inheritance<\/a><\/li>\r\n
                                                                                                  2. More on Introducing Inheritance<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                    5.10: Partnership \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                      \r\n
                                                                                                    1. Introducing Business Partnership<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                      5.11: Compound Partnership \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                        \r\n
                                                                                                      1. Introducing Business Partnership<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                        Chapter 6: Percentage (34 videos)\u00a0\u205f\u200a(Practice Test<\/a>)<\/h5>\r\n\r\n\r\n\r\n
                                                                                                        6.1: Percent<\/h6>\r\n\r\n\r\n\r\n
                                                                                                          \r\n
                                                                                                        1. Percentages, Fractions and Decimals<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                          6.2: Problems on Percent<\/h6>\r\n\r\n\r\n\r\n
                                                                                                            \r\n
                                                                                                          1. Finding the Percentage of a Number<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                            6.3: Zakat<\/h6>\r\n\r\n\r\n\r\n
                                                                                                              \r\n
                                                                                                            1. Zakat and Rate of Zakat<\/a><\/li>\r\n
                                                                                                            2. Problem1-Zakat and Rate of Zakat<\/a><\/li>\r\n
                                                                                                            3. Problem2-Zakat and Rate of Zakat<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                              6.4: Tax \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                \r\n
                                                                                                              1. Value-added Tax and GST<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                6.5: Income-Tax \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                  \r\n
                                                                                                                1. Types of Taxation<\/a><\/li>\r\n
                                                                                                                2. More on Types of Taxation<\/a><\/li>\r\n
                                                                                                                3. Problem1-Taxation<\/a><\/li>\r\n
                                                                                                                4. Problem2-Taxation<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                  6.6: Property Tax \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                    \r\n
                                                                                                                  1. Types of Taxation<\/a><\/li>\r\n
                                                                                                                  2. More on Types of Taxation<\/a><\/li>\r\n
                                                                                                                  3. Problem3-Taxation<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                    6.7: Custom Duty \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                      \r\n
                                                                                                                    1. Types of Taxation<\/a><\/li>\r\n
                                                                                                                    2. More on Types of Taxation<\/a><\/li>\r\n
                                                                                                                    3. Problem4-Taxation<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                      6.8: Others Taxes \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                        \r\n
                                                                                                                      1. Types of Taxation<\/a><\/li>\r\n
                                                                                                                      2. More on Types of Taxation<\/a><\/li>\r\n
                                                                                                                      3. Problem5-Taxation<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                        6.9: Discount, Reduction<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                          \r\n
                                                                                                                        1. Discount<\/a><\/li>\r\n
                                                                                                                        2. Problem1-Discount<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                          6.10: Commission, Brokerage \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                            \r\n
                                                                                                                          1. Commission<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                            6.11: Buying and Selling on Instalments<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                              \r\n
                                                                                                                            1. Hire Purchased<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                              6.12: Societies and Banks Loans \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                \r\n
                                                                                                                              1. Profit on Deposit<\/a><\/li>\r\n
                                                                                                                              2. Markup on Loan<\/a><\/li>\r\n
                                                                                                                              3. Calculating Profit on Deposit<\/a><\/li>\r\n
                                                                                                                              4. Problem1-Calculating Profit on Deposit<\/a><\/li>\r\n
                                                                                                                              5. Calculating Markup on Loan<\/a><\/li>\r\n
                                                                                                                              6. Problem2-Calculating Profit on Deposit<\/a><\/li>\r\n
                                                                                                                              7. Problem3-Calculating Profit on Deposit<\/a><\/li>\r\n
                                                                                                                              8. Problem4-Calculating Profit on Deposit<\/a><\/li>\r\n
                                                                                                                              9. Problem1-Calculating Markup on Loan<\/a><\/li>\r\n
                                                                                                                              10. Problem2-Calculating Markup on Loan<\/a><\/li>\r\n
                                                                                                                              11. Problem3-Calculating Markup on Loan<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                Chapter 7: Fundamental Operations on Polynomials (17 videos)\u00a0\u205f\u200a(Practice Test<\/a>)<\/h5>\r\n\r\n\r\n\r\n
                                                                                                                                7.1: Variable<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                  \r\n
                                                                                                                                1. Introducing Variable & Constant<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                  7.2: Algebraic Expressions<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                    \r\n
                                                                                                                                  1. Introducing Algebraic Expression<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                    7.3: Terms of an Expression<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                      \r\n
                                                                                                                                    1. Polynomials w.r.t Terms & Variables<\/a><\/li>\r\n
                                                                                                                                    2. Problem 1: Polynomials w.r.t Terms & Variables<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                      7.4: Co-efficients<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                        \r\n
                                                                                                                                      1. Introducing Coefficient & Exponent<\/a><\/li>\r\n
                                                                                                                                      2. Problem 1: Introducing Coefficient & Exponent<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                        7.5: Polynomial<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                          \r\n
                                                                                                                                        1. Introduction to Polynomials<\/a><\/li>\r\n
                                                                                                                                        2. Problem 1: Introduction to Polynomials<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                          7.6: Ordering a Polynomial<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                            \r\n
                                                                                                                                          1. Ordering of an Algebraic Expressions<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                            7.7: Addition of Polynomials<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                              \r\n
                                                                                                                                            1. Addition of Algebraic Expression<\/a><\/li>\r\n
                                                                                                                                            2. Problem 1: Addition of Algebraic Expression<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                              7.8: Subtraction of Polynomials<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                \r\n
                                                                                                                                              1. Equality Property of Rational Expression<\/a><\/li>\r\n
                                                                                                                                              2. Subtraction of Polynomials<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                7.9: Multipllication of Polynomials<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                  \r\n
                                                                                                                                                1. Product of Algebraic Expression<\/a><\/li>\r\n
                                                                                                                                                2. Problem 1: Product of Algebraic Expression<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                  7.10: Division of Polynomials<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                    \r\n
                                                                                                                                                  1. Division of Algebraic Expression<\/a><\/li>\r\n
                                                                                                                                                  2. Problem 1: Division of Algebraic Expression<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                    Chapter 8: Formulae and Factors (32 videos)\u00a0\u205f\u200a(Practice Test<\/a>)<\/h5>\r\n\r\n\r\n\r\n
                                                                                                                                                    8.1: Formulae<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                      \r\n
                                                                                                                                                    1. Square of Sum of Two Terms<\/a><\/li>\r\n
                                                                                                                                                    2. Problem 2: Square of Sum of Two Terms<\/a><\/li>\r\n
                                                                                                                                                    3. Problem 1: Square of Sum of Two Terms<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                      8.2: Formula1<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                        \r\n
                                                                                                                                                      1. K times Sum of Three Terms<\/a><\/li>\r\n
                                                                                                                                                      2. Problem-K times Sum of Three Terms<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                        8.3: Factors and Factorization<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                          \r\n
                                                                                                                                                        1. Introduction to Factorization<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                          8.4: Factorization of Expressions of the Form ka+kb+kc<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                            \r\n
                                                                                                                                                          1. Factorization of Expressions of the Form ka+kb+kc<\/a><\/li>\r\n
                                                                                                                                                          2. Problem-Factorization of Expressions of the Form ka+kb+kc<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                            8.5: Formula 2<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                              \r\n
                                                                                                                                                            1. Factoring Square of Sum Or Difference of Two Terms<\/a><\/li>\r\n
                                                                                                                                                            2. Problem 1: Factoring Square of Sum Or Difference of Two Terms<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                              8.6: Use of Formulae 2 and 3<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                \r\n
                                                                                                                                                              1. Problem 1: Square of Sum of Two Terms<\/a><\/li>\r\n
                                                                                                                                                              2. Problem 1: Factoring Difference of Square of Two Terms<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                8.7: Factorization of Sum\/Difference of Squares \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                  \r\n
                                                                                                                                                                1. Factoring Difference of Square of Two Terms<\/a><\/li>\r\n
                                                                                                                                                                2. Problem-Factoring Square of Difference of Two Terms<\/a><\/li>\r\n
                                                                                                                                                                3. Square of Sum of Two Terms<\/a><\/li>\r\n
                                                                                                                                                                4. Problem-Square of sum of two terms<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                  8.8: Formula4<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                    \r\n
                                                                                                                                                                  1. Factoring Difference of Square of Two Terms<\/a><\/li>\r\n
                                                                                                                                                                  2. Problem-Factoring Difference of Square of Two Terms<\/a><\/li>\r\n
                                                                                                                                                                  3. Problem 2: Factoring Difference of Square of Two Terms<\/a><\/li>\r\n
                                                                                                                                                                  4. Problem 1: Factoring Difference of Square of Two Terms<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                    8.9: Factorization of Square of Difference of 2 Terms<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                      \r\n
                                                                                                                                                                    1. Factoring Difference of Square of Two Terms<\/a><\/li>\r\n
                                                                                                                                                                    2. Problem-Factoring Square of Difference of Two Terms<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                      8.10: Factorization of Expression Reducible to Sqaure of Difference<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                        \r\n
                                                                                                                                                                      1. Problem 2: Factoring Difference of Square of Two Terms<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                        8.11: Formula5<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                          \r\n
                                                                                                                                                                        1. Factorization by Grouping<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                          8.12: Factorization of product of two Linear Expression<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                            \r\n
                                                                                                                                                                          1. Factorization by Grouping<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                            8.13: Formula6 \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                              \r\n
                                                                                                                                                                            1. Cube of Sum of Two Terms<\/a><\/li>\r\n
                                                                                                                                                                            2. Problem 2: Cube of Sum of Two Terms<\/a><\/li>\r\n
                                                                                                                                                                            3. Cube of Difference of Two Terms<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                              8.14: Factorization of Sum\/Difference of Cube<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                \r\n
                                                                                                                                                                              1. Problem 1: Cube of Sum of Two Terms<\/a><\/li>\r\n
                                                                                                                                                                              2. Problem 1: Cube of Difference of Two Terms<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                8.15: Formula8<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                  \r\n
                                                                                                                                                                                1. Sum & Differences of Cube<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                  8.16: Factorization of Cube of Sum\/Difference of 2 Terms<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                    \r\n
                                                                                                                                                                                  1. Problem 1: Sum & Differences of Cube<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                    Chapter 9: Algebraic Sentences, Matrices and Equations (50 videos)\u00a0\u205f\u200a(Practice Test<\/a>)<\/h5>\r\n\r\n\r\n\r\n
                                                                                                                                                                                    9.1: Linear Equation in 2 Variables; The Solution Set \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                      \r\n
                                                                                                                                                                                    1. Algebraic Expressions & Algebraic Sentences<\/a><\/li>\r\n
                                                                                                                                                                                    2. Problem 1: Algebraic Expressions & Algebraic Sentences<\/a><\/li>\r\n
                                                                                                                                                                                    3. Solution of Simple Linear Equations in two Variables<\/a><\/li>\r\n
                                                                                                                                                                                    4. Problem 1: Solution of Simple Linear Equations in two Variables<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                      9.2: Graph of a Linear Equation in 2 Variable<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                        \r\n
                                                                                                                                                                                      1. Graphical Solution of Simultaneous Linear Equations<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                        9.3: 2 by 2 Matrices \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                          \r\n
                                                                                                                                                                                        1. Introduction to Matrix<\/a><\/li>\r\n
                                                                                                                                                                                        2. Order of Matrix<\/a><\/li>\r\n
                                                                                                                                                                                        3. Problem 1: Introduction to Matrix<\/a><\/li>\r\n
                                                                                                                                                                                        4. Location of elements in Matrix<\/a><\/li>\r\n
                                                                                                                                                                                        5. Square Matrix and Rectangular Matrix<\/a><\/li>\r\n
                                                                                                                                                                                        6. Problem 1: Order of Matrix<\/a><\/li>\r\n
                                                                                                                                                                                        7. Problem 1: Location of elements in Matrix<\/a><\/li>\r\n
                                                                                                                                                                                        8. Problem 1: Square Matrix and Rectangular Matrix<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                          9.4: Addition of Matrices \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                            \r\n
                                                                                                                                                                                          1. Null Matrix or Zero Matrix<\/a><\/li>\r\n
                                                                                                                                                                                          2. Negative of Matrix<\/a><\/li>\r\n
                                                                                                                                                                                          3. Problem 1: Null Matrix or Zero Matrix<\/a><\/li>\r\n
                                                                                                                                                                                          4. Addition of Matrices<\/a><\/li>\r\n
                                                                                                                                                                                          5. Subtraction of Matrices<\/a><\/li>\r\n
                                                                                                                                                                                          6. Problem 1: Negative of Matrix<\/a><\/li>\r\n
                                                                                                                                                                                          7. Commutative Law under Addition for Matrices<\/a><\/li>\r\n
                                                                                                                                                                                          8. Diagonal Matrix<\/a><\/li>\r\n
                                                                                                                                                                                          9. Problem 1: Addition of Matrices<\/a><\/li>\r\n
                                                                                                                                                                                          10. Scalar Matrix<\/a><\/li>\r\n
                                                                                                                                                                                          11. Identity Matrix<\/a><\/li>\r\n
                                                                                                                                                                                          12. Problem 1: Subtraction of Matrices<\/a><\/li>\r\n
                                                                                                                                                                                          13. Problem 1: Commutative Law under Addition for Matrices<\/a><\/li>\r\n
                                                                                                                                                                                          14. Problem 1: Diagonal Matrix<\/a><\/li>\r\n
                                                                                                                                                                                          15. Problem 1: Scalar Matrix<\/a><\/li>\r\n
                                                                                                                                                                                          16. Problem 1: Identity Matrix<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                            9.5: Multiplication of Matrices \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                              \r\n
                                                                                                                                                                                            1. Multiplication of Matrices<\/a><\/li>\r\n
                                                                                                                                                                                            2. Multiplicative Identity of a Matrix<\/a><\/li>\r\n
                                                                                                                                                                                            3. Problem 1: Multiplication of Matrices<\/a><\/li>\r\n
                                                                                                                                                                                            4. Determinant of 2-by-2 Matrix<\/a><\/li>\r\n
                                                                                                                                                                                            5. Problem 2: Multiplication of Matrices<\/a><\/li>\r\n
                                                                                                                                                                                            6. Singular and Non-singular Matrix<\/a><\/li>\r\n
                                                                                                                                                                                            7. Multiplicative Inverse of a Non-Singular Matrix<\/a><\/li>\r\n
                                                                                                                                                                                            8. Problem 1: Multiplicative Identity of a Matrix<\/a><\/li>\r\n
                                                                                                                                                                                            9. Inverse of Matrix using Adjoint<\/a><\/li>\r\n
                                                                                                                                                                                            10. Problem1-Singular and Non-Singular Matrix<\/a><\/li>\r\n
                                                                                                                                                                                            11. Problem2-Singular and Non-Singular Matrix<\/a><\/li>\r\n
                                                                                                                                                                                            12. Problem 1: Singular and Non-singular Matrix<\/a><\/li>\r\n
                                                                                                                                                                                            13. Problem 1: Multiplicative Inverse of a Non-Singular Matrix<\/a><\/li>\r\n
                                                                                                                                                                                            14. Problem 1: Inverse of Matrix using Adjoint<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                              9.6: Use of Matrices \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                \r\n
                                                                                                                                                                                              1. Solving Simultaneous Equations-Inversion Method<\/a><\/li>\r\n
                                                                                                                                                                                              2. Solving Simultaneous Equations-Cramers Rule<\/a><\/li>\r\n
                                                                                                                                                                                              3. Use of Matrices in Solving Everyday Life Problems<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                9.7: Properties of Simulataneous Equations and Their Algebraic Solutions \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                  \r\n
                                                                                                                                                                                                1. Solving Simultaneous Linear Equations by Substitution<\/a><\/li>\r\n
                                                                                                                                                                                                2. Problem 1: Solving Simultaneous Linear Equations by Substitution<\/a><\/li>\r\n
                                                                                                                                                                                                3. Soving Simultaneous Lnear Equations by Comparison<\/a><\/li>\r\n
                                                                                                                                                                                                4. Solving Simultaneous Linear Equations-Equating-Co-efficient<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                  Chapter 10: Geometry (56 videos)\u00a0\u205f\u200a(Practice Test<\/a>)<\/h5>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                  10.1: Fundamental Concepts of Geometry \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                    \r\n
                                                                                                                                                                                                  1. Introduction to Point, Line, Line-segment and Ray<\/a><\/li>\r\n
                                                                                                                                                                                                  2. Problem 1: Introduction to Point, Line, Line-segment and Ray<\/a><\/li>\r\n
                                                                                                                                                                                                  3. Collinear and Non-collinear Points<\/a><\/li>\r\n
                                                                                                                                                                                                  4. Coincident Points & Coincident Lines<\/a><\/li>\r\n
                                                                                                                                                                                                  5. Problem 1: Collinear points and Non-collinear points<\/a><\/li>\r\n
                                                                                                                                                                                                  6. Coincident points and coincident lines<\/a><\/li>\r\n
                                                                                                                                                                                                  7. Between and Beyond the line segment<\/a><\/li>\r\n
                                                                                                                                                                                                  8. Interior and exterioir of an angle<\/a><\/li>\r\n
                                                                                                                                                                                                  9. Problem 1: Coincident points and coincident lines<\/a><\/li>\r\n
                                                                                                                                                                                                  10. Problem 1: Between and Beyond the line segment<\/a><\/li>\r\n
                                                                                                                                                                                                  11. Problem 1: Interior and exterioir of an angle<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                    10.2: Some Properties of Points and Lines \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                      \r\n
                                                                                                                                                                                                    1. Fundamental Concepts of Geometry<\/a><\/li>\r\n
                                                                                                                                                                                                    2. Problem 1: Fundamental Concepts of Geometry<\/a><\/li>\r\n
                                                                                                                                                                                                    3. Complementary and Supplementary angles<\/a><\/li>\r\n
                                                                                                                                                                                                    4. Angles<\/a><\/li>\r\n
                                                                                                                                                                                                    5. Problem 1: Complementary and supplementary anlges<\/a><\/li>\r\n
                                                                                                                                                                                                    6. Different Kinds of Angles<\/a><\/li>\r\n
                                                                                                                                                                                                    7. Acute, Obtuse and Congruent Angles<\/a><\/li>\r\n
                                                                                                                                                                                                    8. Vertically Opposite Angles<\/a><\/li>\r\n
                                                                                                                                                                                                    9. Problem 1: Acute, Obtuse and Congruent Angles<\/a><\/li>\r\n
                                                                                                                                                                                                    10. Problem 1: Vertically Opposite Angles<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                      10.3: Important Rules About Angles \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                        \r\n
                                                                                                                                                                                                      1. If two lines intersect each other,than vertical angles are congruent<\/a><\/li>\r\n
                                                                                                                                                                                                      2. Problem 1: If two lines intersect each other,than vertical angle are<\/a><\/li>\r\n
                                                                                                                                                                                                      3. Alternate and Vertical Angles<\/a><\/li>\r\n
                                                                                                                                                                                                      4. Interior and exterior of triangle<\/a><\/li>\r\n
                                                                                                                                                                                                      5. Problem-Alternate and Vertical Angles<\/a><\/li>\r\n
                                                                                                                                                                                                      6. Problem 1: Interior and exterior angles of traingle<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                        10.4: Parallel Lines \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                          \r\n
                                                                                                                                                                                                        1. Parallel Lines<\/a><\/li>\r\n
                                                                                                                                                                                                        2. Problem 1: Parallel Lines<\/a><\/li>\r\n
                                                                                                                                                                                                        3. Intersecting Lines<\/a><\/li>\r\n
                                                                                                                                                                                                        4. Similarly Directed and Opposite Directed Rays<\/a><\/li>\r\n
                                                                                                                                                                                                        5. Problem 1: Parallel Lines Postulate<\/a><\/li>\r\n
                                                                                                                                                                                                        6. Problem-Similarly Directed and Opposite Directed Rays<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                          10.5: Alternate and Corresponding Angles<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                            \r\n
                                                                                                                                                                                                          1. Alternate and corresponding Angles<\/a><\/li>\r\n
                                                                                                                                                                                                          2. Alternate and Vertical Angles<\/a><\/li>\r\n
                                                                                                                                                                                                          3. Problem 1: Alternate and corresponding Angles<\/a><\/li>\r\n
                                                                                                                                                                                                          4. Problem 1: Transversal, Interior and Exterior Angles<\/a><\/li>\r\n
                                                                                                                                                                                                          5. Problem-Alternate and Vertical Angles<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                            10.6: Playfairs Axioms and Parallel Lines \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                              \r\n
                                                                                                                                                                                                            1. If a transversal intersects two coplanar lines<\/a><\/li>\r\n
                                                                                                                                                                                                            2. Problem 1: If a transversal intersects two coplanar lines such that t<\/a><\/li>\r\n
                                                                                                                                                                                                            3. If a transversal intersects two parallel lines<\/a><\/li>\r\n
                                                                                                                                                                                                            4. Problem 1: If a transversal intersects two parallel lines<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                              10.7: Congruent Triangles \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                \r\n
                                                                                                                                                                                                              1. Congruence of Other Polygons<\/a><\/li>\r\n
                                                                                                                                                                                                              2. Congruency of Triangles<\/a><\/li>\r\n
                                                                                                                                                                                                              3. Problem 1: Congruence of Polygons<\/a><\/li>\r\n
                                                                                                                                                                                                              4. Congruent Figures and Objects<\/a><\/li>\r\n
                                                                                                                                                                                                              5. Problem 1: Congruency of Triangles<\/a><\/li>\r\n
                                                                                                                                                                                                              6. Congruency Tests<\/a><\/li>\r\n
                                                                                                                                                                                                              7. Problem-Congruent Figures and Objects<\/a><\/li>\r\n
                                                                                                                                                                                                              8. Problem-Congruency Tests<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                10.8: Theroem About Congruent Triangles \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                  \r\n
                                                                                                                                                                                                                1. Angle-Side-Angle Postulate-1<\/a><\/li>\r\n
                                                                                                                                                                                                                2. Problem 1: Angle-Side-Angle Postulate-1<\/a><\/li>\r\n
                                                                                                                                                                                                                3. Side-Side-Side Postulate-3<\/a><\/li>\r\n
                                                                                                                                                                                                                4. Hypotenuse Side Postulate-4<\/a><\/li>\r\n
                                                                                                                                                                                                                5. Problem 1: Side-Side-Side Postulate-3<\/a><\/li>\r\n
                                                                                                                                                                                                                6. Problem 1: Hypotenuse Side Postulate-4<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                  Chapter 11: Practical Geometry (90 videos)\u00a0\u205f\u200a(Practice Test<\/a>)<\/h5>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                  11.1: Introduction to Pratical Geometry \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                    \r\n
                                                                                                                                                                                                                  1. The Protractor and Angle Measure<\/a><\/li>\r\n
                                                                                                                                                                                                                  2. Geometrical Constructions<\/a><\/li>\r\n
                                                                                                                                                                                                                  3. Use of Compass<\/a><\/li>\r\n
                                                                                                                                                                                                                  4. Bisecting Line Segment<\/a><\/li>\r\n
                                                                                                                                                                                                                  5. Introduction to Practical Geometry<\/a><\/li>\r\n
                                                                                                                                                                                                                  6. Problem 1: Introduction to Practical Geometry<\/a><\/li>\r\n
                                                                                                                                                                                                                  7. Constructing Triangle with Three Sides<\/a><\/li>\r\n
                                                                                                                                                                                                                  8. Construction of a Triangle when one angle and two sides<\/a><\/li>\r\n
                                                                                                                                                                                                                  9. Problem 1: Constructing Triangle with Three Sides<\/a><\/li>\r\n
                                                                                                                                                                                                                  10. Constructing Triangle with Side & Two Angles<\/a><\/li>\r\n
                                                                                                                                                                                                                  11. Problem 1: Constructing Triangle with Side & Two Angles<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                    11.2: Pythagorus Theorem \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                      \r\n
                                                                                                                                                                                                                    1. Proof of Pythagoras Theorem<\/a><\/li>\r\n
                                                                                                                                                                                                                    2. Problem-Proof of Pythagoras Theorem<\/a><\/li>\r\n
                                                                                                                                                                                                                    3. More on Proof of Pythagoras Theorem 1<\/a><\/li>\r\n
                                                                                                                                                                                                                    4. More on Proof of Pythagoras Theorem 2<\/a><\/li>\r\n
                                                                                                                                                                                                                    5. Problem-More on Proof of Pythagoras Theorem 1<\/a><\/li>\r\n
                                                                                                                                                                                                                    6. Problem-More on Proof of Pythagoras Theorem 2<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                      11.3: Two Special Right Angled Triangles \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                        \r\n
                                                                                                                                                                                                                      1. Two Special Right Angled Triangles<\/a><\/li>\r\n
                                                                                                                                                                                                                      2. More on Two Special Right Angled Triangles<\/a><\/li>\r\n
                                                                                                                                                                                                                      3. Problem-Two Special Right Angled Triangles<\/a><\/li>\r\n
                                                                                                                                                                                                                      4. Problem-More on Two Special Right Angled Triangles<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                        11.4: Condtion of Similarity of 2 Polygons<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                          \r\n
                                                                                                                                                                                                                        1. Condition of Similarity of 2 Polygons<\/a><\/li>\r\n
                                                                                                                                                                                                                        2. Problem-Condition of Similarity of 2 Polygons<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                          11.5: Condition of Similarity of 2 Triangles \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                            \r\n
                                                                                                                                                                                                                          1. Similar Triangles<\/a><\/li>\r\n
                                                                                                                                                                                                                          2. Similarity and Enlargement<\/a><\/li>\r\n
                                                                                                                                                                                                                          3. Problem-Similar Triangles<\/a><\/li>\r\n
                                                                                                                                                                                                                          4. Proportional Parts of Similar Triangle-4<\/a><\/li>\r\n
                                                                                                                                                                                                                          5. Problem-Similarity and Enlargement<\/a><\/li>\r\n
                                                                                                                                                                                                                          6. Similar Triangles<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                            11.6: Constructing Similar Triangles<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                              \r\n
                                                                                                                                                                                                                            1. Constructing Similar Triangles<\/a><\/li>\r\n
                                                                                                                                                                                                                            2. Problem-Similarity and Enlargement<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                              11.7: The Slope of a Line and Its Equation \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                \r\n
                                                                                                                                                                                                                              1. Inclination of Line<\/a><\/li>\r\n
                                                                                                                                                                                                                              2. Slope or Gradient of a Line<\/a><\/li>\r\n
                                                                                                                                                                                                                              3. Problem-Slope or Gradient of a Line<\/a><\/li>\r\n
                                                                                                                                                                                                                              4. Slope of Collinear Line Segments<\/a><\/li>\r\n
                                                                                                                                                                                                                              5. Slope of Parallel Lines<\/a><\/li>\r\n
                                                                                                                                                                                                                              6. Equations of a Straight Line<\/a><\/li>\r\n
                                                                                                                                                                                                                              7. Derivation of Slope Intercept form<\/a><\/li>\r\n
                                                                                                                                                                                                                              8. Problem-Slope of Parallel Lines<\/a><\/li>\r\n
                                                                                                                                                                                                                              9. Deriving Point-slope Form of Equation of Straight Line<\/a><\/li>\r\n
                                                                                                                                                                                                                              10. Problem-Equations of a Straight Line<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                11.8: Circle \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                  \r\n
                                                                                                                                                                                                                                1. Introduction to Circle & its Characteristics<\/a><\/li>\r\n
                                                                                                                                                                                                                                2. Problem 1: Introduction to Circle & its Characteristics<\/a><\/li>\r\n
                                                                                                                                                                                                                                3. Chord , Diameter & Circumference of a Circle<\/a><\/li>\r\n
                                                                                                                                                                                                                                4. Arc of a Circle<\/a><\/li>\r\n
                                                                                                                                                                                                                                5. Concept of Central Angle of an Arc<\/a><\/li>\r\n
                                                                                                                                                                                                                                6. Problem 1: Chord , Diameter & Circumference of a Circle<\/a><\/li>\r\n
                                                                                                                                                                                                                                7. Segment & Sector of a Circle<\/a><\/li>\r\n
                                                                                                                                                                                                                                8. Area of a Circle<\/a><\/li>\r\n
                                                                                                                                                                                                                                9. Problem 1: Arc of a Circle<\/a><\/li>\r\n
                                                                                                                                                                                                                                10. Length of Arc and Area of Sector<\/a><\/li>\r\n
                                                                                                                                                                                                                                11. The Radian<\/a><\/li>\r\n
                                                                                                                                                                                                                                12. Problem 1: Concept of Central Angle of an Arc<\/a><\/li>\r\n
                                                                                                                                                                                                                                13. Concept of Secant & Tangent Line<\/a><\/li>\r\n
                                                                                                                                                                                                                                14. Tangent Circles and Length of Tangent<\/a><\/li>\r\n
                                                                                                                                                                                                                                15. Problem 1: Segment & Sector of a Circle<\/a><\/li>\r\n
                                                                                                                                                                                                                                16. Concentric Circles and Common Internal and External Tangents to two C<\/a><\/li>\r\n
                                                                                                                                                                                                                                17. Concept of Inscribed Angle of an Arc<\/a><\/li>\r\n
                                                                                                                                                                                                                                18. Concept of Circum Circle of a Triangle<\/a><\/li>\r\n
                                                                                                                                                                                                                                19. Concept of Inscribed Circle of a Triangle<\/a><\/li>\r\n
                                                                                                                                                                                                                                20. Problem 1: Concept of Secant & Tangent Line<\/a><\/li>\r\n
                                                                                                                                                                                                                                21. Concept of Escribed Circle of a Triangle<\/a><\/li>\r\n
                                                                                                                                                                                                                                22. If Arcs Congruent, then Chords Congruent-1<\/a><\/li>\r\n
                                                                                                                                                                                                                                23. If Chords Congruent, then Arcs Congruent-2<\/a><\/li>\r\n
                                                                                                                                                                                                                                24. Problem 1: Tangent Circles and Length of Tangent<\/a><\/li>\r\n
                                                                                                                                                                                                                                25. If Chords Congruent, then Central Angles Congruent-3<\/a><\/li>\r\n
                                                                                                                                                                                                                                26. Problem 1: Concentric Circles,Common Internal & External Tangents of<\/a><\/li>\r\n
                                                                                                                                                                                                                                27. If Central Angles Congruent, then Arcs Congruent-4<\/a><\/li>\r\n
                                                                                                                                                                                                                                28. Axial Symmetry of the Circle<\/a><\/li>\r\n
                                                                                                                                                                                                                                29. Problem 1: Concept of Inscribed Angle of an Arc<\/a><\/li>\r\n
                                                                                                                                                                                                                                30. Problem 1: Concept of Circum Circle of a Triangle<\/a><\/li>\r\n
                                                                                                                                                                                                                                31. Problem 1: Concept of Inscribed Circle of a Triangle<\/a><\/li>\r\n
                                                                                                                                                                                                                                32. Problem 1: Concept of Escribed Circle of a Triangle<\/a><\/li>\r\n
                                                                                                                                                                                                                                33. Problem-If Arcs Congruent- then Chords Congruent<\/a><\/li>\r\n
                                                                                                                                                                                                                                34. Problem-If Chords Congruent- then Central Angles Congruent<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                  11.9: Some Theorems About Circles \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                    \r\n
                                                                                                                                                                                                                                  1. Perpendicular radius bisects chord<\/a><\/li>\r\n
                                                                                                                                                                                                                                  2. Problem 1: Perpendicular radius bisects chord<\/a><\/li>\r\n
                                                                                                                                                                                                                                  3. Converse of perpendicular radius bisects chord<\/a><\/li>\r\n
                                                                                                                                                                                                                                  4. Congruent Chords Equidistance from Circle-4<\/a><\/li>\r\n
                                                                                                                                                                                                                                  5. Chords Equidistance of Circle are Congruent-5<\/a><\/li>\r\n
                                                                                                                                                                                                                                  6. Problem 2: Congruent Chords Equidistance from Circle-4<\/a><\/li>\r\n
                                                                                                                                                                                                                                  7. Central angle theorem<\/a><\/li>\r\n
                                                                                                                                                                                                                                  8. Problem 1: Congruent Chords Equidistance from Circle-4<\/a><\/li>\r\n
                                                                                                                                                                                                                                  9. Tangent to Circle-1<\/a><\/li>\r\n
                                                                                                                                                                                                                                  10. Converse of Tangent to Circle-2<\/a><\/li>\r\n
                                                                                                                                                                                                                                  11. Problem 1: Chords Equidistance of Circle are Congruent-5<\/a><\/li>\r\n
                                                                                                                                                                                                                                  12. Problem 1: Central angle theorem<\/a><\/li>\r\n
                                                                                                                                                                                                                                  13. Problem 2: Central angle theorem<\/a><\/li>\r\n
                                                                                                                                                                                                                                  14. Problem 1: Tangent to Circle-1<\/a><\/li>\r\n
                                                                                                                                                                                                                                  15. Problem 1: Converse of Tangent to Circle-2<\/a><\/li>\r\n<\/ol>\r\n","protected":false},"excerpt":{"rendered":"

                                                                                                                                                                                                                                    Chapter 1: Number Systems (12 videos)\u00a0\u205f\u200a(Practice Test) 1.1: Decimal System and Base Introduction to Decimal System and Base Problem-Introduction to Decimal System and Base 1.2: Base Five System Introduction to Base Five System Problem-Introduction to Base Five System 1.3: Binay System or Base 2 System Introducing Base 2 System Problem-Introducing Base 2 System 1.4: Addition…<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-752","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"http:\/\/e-academy.com.pk\/cms\/index.php?rest_route=\/wp\/v2\/pages\/752","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/e-academy.com.pk\/cms\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/e-academy.com.pk\/cms\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/e-academy.com.pk\/cms\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/e-academy.com.pk\/cms\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=752"}],"version-history":[{"count":2,"href":"http:\/\/e-academy.com.pk\/cms\/index.php?rest_route=\/wp\/v2\/pages\/752\/revisions"}],"predecessor-version":[{"id":1756,"href":"http:\/\/e-academy.com.pk\/cms\/index.php?rest_route=\/wp\/v2\/pages\/752\/revisions\/1756"}],"wp:attachment":[{"href":"http:\/\/e-academy.com.pk\/cms\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=752"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}