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Chapter 1: Sets (44 videos)   (Practice Test)

1.1: Concept of a Set  (Practice Test)

1. Set Definition
2. Problem-Introduction to Set
3. Presentation of a Set
4. Set Builder Notation
5. Problem-Describing a Set

1.2: Operations on Sets  (Practice Test)

1. Union of Two Sets
2. Problem-Union of Two Sets
3. Intersection of Set
4. Problem-Intersection of Two Sets
5. Problem-Difference of Two Sets
6. Problem-Union of Three Sets
7. Problem-Intersection of Three Sets
8. Disjoint Set
9. Overlapping Sets
10. Problem-Disjoint and Overlapping Sets
11. Complement of a Set
12. Universal Set
13. Problem-Universal Set and Complement of a Set
14. Commutative Property of Union of Sets
15. Problem-Commutative Property of Union of Sets
16. Associative Property of Union of Sets
17. Problem-Associative Property of Union of Sets
18. Identity Property with Respect to Union
19. Commutativity of Intersection
20. Problem-Commutative Property of Intersection of Sets
21. Associative Property of Intersection of Sets
22. Problem-Associative Property of Intersection of Sets
23. Identity Property with Respect to Intersection
24. Prob-Identity Property with Respect to Intersection
25. Difference of Sets
26. Prob-Properties Involving Difference of Sets
27. Properties Involving Complement of a Set
28. Prob-Properties Involving Complement of a Set

1.3: Venn Diagram  (Practice Test)

1. Introduction to Venn Diagram
2. Problem-Introduction to Venn Diagram
3. Problem-Representing Sets Through Venn Diagrams
4. Performing Union of Sets Through Venn Diagram
5. Problem-Performing Union of Sets Through Venn Diagram
6. Performing Intersection of Sets Through Venn Diagram
7. Problem-Performing Intersection of Sets Through Venn Diagram
8. Difference of Sets for Overlapping Sets
9. Problem-Difference of Two Sets A and B Through Venn Diagram
10. Complement of a Set Through Venn Diagram
11. Problem-Complement of a Set Through Venn Diagram

Chapter 2: Rational Numbers (28 videos)   (Practice Test)

2.1: Rational Numbers  (Practice Test)

1. Introduction to Rational Numbers
2. Problem-Concept of Rational Numbers
3. Representation of Rational Number on a Number Line
4. Problem-Representation of Rational Number on a Number Line

2.2: Operations on Rational Numbers  (Practice Test)

1. Addition of Two or More Rational Numbers
2. Problem-Addition of Two or More Rational Numbers
3. Subtraction of Two or More Rational Numbers
4. Problem-Subtraction of Two or More Rational Numbers
5. Multiplication and Dividing Rational Numbers
6. Problem-Multiplication of Rational Numbers
7. Division of Rational Numbers
8. Problem-Division of Rational Numbers
9. Finding Reciprocal of a Rational Number
10. Problem-Finding Reciprocal of a Rational Number
11. Commutative Law of rational numbers w.r.t addition
12. Commutative Law of rational numbers w.r.t multiplication
13. Problem-Commutative Property with Respect to Multiplication
14. Associative Law
15. Associative law of Subtraction and Division
16. Distributive Property of Multiplication Over Addition
17. Problem-Distributive Property of Multiplication Over Addition
18. Distributive Property of Multiplication Over Subtraction
19. Problem-Distributive Property of Multiplication Over Subtraction
20. Comparison of Rational Numbers Having Same Denominator
21. Comparison of Rational Numbers Having Different Denominator
22. Problem-Comparison of Rational Numbers Having Different Denominator
23. Ordering of Rational Numbers
24. Problem-Arranging Rational Numbers in Order

Chapter 3: Decimals (13 videos)   (Practice Test)

3.1: Conversion of Decimals to Rational Numbers  (Practice Test)

1. Percentages, Fractions and Decimals
2. Conversion of Decimals to Rational Numbers
3. Problem-Conversion of Decimals to Rational Numbers

3.2: Terminating and Non-Terminating Decimals  (Practice Test)

1. Terminating Decimals
2. Problem-Terminating Decimals
3. Non-terminating Decimals
4. Problem-Non-terminating Decimals
5. Expressing a Rational Number as a Decimal
6. Problem-Expressing a Rational Number as a Decimal
7. Rule to Check the Nature of a Given Rational Number
8. Problem-Rule to Check the Nature of a Given Rational Number
9. Introduction to Approximate Values
10. Problem-Introduction to Approximate Values

Chapter 4: Exponents (13 videos)   (Practice Test)

4.1: Exponents / Indices

1. Identification of Base, Exponent and Value
2. Problem-Identification of Base, Exponent and Value

4.2: Laws of Exponents / Indices  (Practice Test)

1. Product Law of Exponents of Rational Numbers
2. Problem-Product Law of Exponents of Rational Numbers
3. Quotient Law of Exponents of Rational Numbers
4. Problem-Quotient Law of Exponents of Rational Numbers
5. Power Law of Rational Numbers
6. Problem-Power Law of Rational Numbers
7. Zero and negative Indices
8. Problem-Negative Exponent of Rational Numbers

Chapter 5: Square Root of Positive Numbers (29 videos)   (Practice Test)

5.1: Perfect Squares  (Practice Test)

1. Squares and Squares Root
2. Concept of Prefect Squares
3. Test Whether a Number is a Perfect Square or Not
4. Problem-Test Whether a Number is a Perfect Square or Not
5. The Square of an Even Number is Even
6. Problem-The Square of an Even Number is Even
7. The Square of a Proper Fraction is Less than Itself
8. The Square of a Decimal less than 1 is Less than Itself
9. Problem-The Square of a Decimal less than 1 is Less than Itself
10. Squares of Natural Numbers
11. Introduction to Square Root of Positive Numbers
12. Problem-Introduction to Square Root of Positive Numbers
13. The Square Root of Numbers Which are Perfect Square

5.2: Square Roots  (Practice Test)

1. Square Root of a Natural Number
2. Problem-Finding Square Roots By Prime Factorization
3. Finding Square Roots of Fractions
4. Problem-Finding Square Roots of Fractions
5. Finding Square Roots of Decimals
6. More on Finding Square Roots of Decimals
7. Problem-Finding Square Roots of Decimals
8. Finding Square Roots By Division Method
9. More on Finding Square Roots By Division Method
10. Problem-Finding Square Roots By Division Method
11. Find square roots of fractions by division method
12. Finding Square Roots of Decimals
13. More on Finding Square Roots of Decimals
14. Problem-Finding Square Roots of Decimals By Division Method
15. Solving Problem Involving Square Root-Problem-1
16. Solving Problem Involving Square Root-Problem-2

Chapter 6: Direct and Inverse Variation (27 videos)   (Practice Test)

6.1: Ratio  (Practice Test)

1. Concept of Ratio
2. Problem-Concept of Ratio
3. Concept of Continued Ratio
4. Problem-Concept of Continued Ratio
5. Direct Variations
6. Problem-Introduction to Direct and Inverse Variation
7. Introduction to Proportion
8. Problem-Concept of Proportion
9. Direct Proportion
10. Inverse Proportion
11. Problem-Types of Proportion
12. Solving Word Problem by Using Unitary Method
13. Solving Word Problem by Using Proportion Method
14. Solving Problem Involving Direct Proportion
15. Solving Problem Involving Inverse Proportion
16. Problem-Solving Problem Involving Direct Proportion

6.2: Rate  (Practice Test)

1. Rate
2. Problem-Concept of Rate
3. Use of Proportion in Time and Work
4. Problem-Use of Proportion in Time and Work
5. Solving by Using Proportion in Time and Work-Word Problems1
6. Speed and Average Speed
7. Relation Between Time and Distance

6.3: Conversion of Units of Speed  (Practice Test)

1. Conversion of Units of Speed
2. More on Conversion of Units of Speed
3. Problem-Conversion of Units of Speed
4. Solve real life problems involving time and distance

Chapter 7: Financial Arithmetic (18 videos)   (Practice Test)

7.1: Taxes  (Practice Test)

1. Concept of Property Tax
2. Problem-Concept of Property Tax
3. Problem Related to Tax-p2
4. Problem Related to Tax-p3
5. Concept of Taxable Area
6. Problem-Concept of Taxable Area

7.2: General Sales Tax  (Practice Test)

1. Value-added Tax and GST
2. Problem Related to Tax-p1

7.3: Profit

1. concept of percent profit
2. Problem- profit percentage
3. Word Problem of Profit
4. Problem-Word Problem of Profit
5. Concept of Markup
6. Problem-Concept of Markup
7. Word Problem of Markup
8. More on Word Problem of Markup

7.4: Zakat

1. Introduction to Zakat
2. Word Problem of Zakat
3. More on Word Problem of Zakat

7.5: Ushr

1. Introducing Ushr
2. Word Problem of Ushr
3. More on Word Problem of Ushr

Chapter 8: Algebraic Expressions (42 videos)   (Practice Test)

8.1: Algebraic Expressions  (Practice Test)

1. Introduction to Algebra
2. Problem-Introduction to Algebra
3. Introducing Variable & Constant
4. Problem-Concepts of Constant and Variables / Literals
5. Power or Exponent or Indices of Literal Number
6. Problem-Power or Exponent or Indices of Literal Number
7. Algebraic Expressions & Algebraic Sentences
8. Problem-Introduction to Algebraic Expressions
9. Algebraic Terms
10. Problem-Algebraic Terms
11. Concept of Polynomial and its Degree
12. Degree of a polynomial
13. Problem-Concept of Polynomial and its Degree
14. Coefficients of a Polynomial
15. Polynomials in One, Two and More Variables
16. Identification of a Monomial, Binomial and Trinomial
17. Problem-Identification of a Monomial, Binomial and Trinomial

8.2: Operations with Polynomials  (Practice Test)

1. Addition of Algebraic Expression
2. Equality Property of Rational Expression
3. Multiplication of Polynomials
4. Multiplication of binomials with trinomials
5. Problem-Multiplication of Polynomials-1
6. Problem-Multiplication of Polynomials-2
7. Vertical Multiplication of Polynomials
8. Problem-Vertical Multiplication of Polynomials

8.3: Algebraic Identities  (Practice Test)

1. Introduction to Algebraic Identities
2. Problem-Introduction to Algebraic Identities
3. Product of Binomial with Same First Term
4. Problem-Product of Binomial with Same First Term
5. Product of Same Binomial
6. More on Product of Same Binomial
7. Problem-Product of Same Binomial
8. Difference of Square of Two Terms
9. Problem1-Difference of Square of Two Terms
10. Problem2-Difference of Square of Two Terms

8.4: Factorization of Algebraic Expressions  (Practice Test)

1. Introduction to Factorization
2. Problem-Factorization of Algebraic Expressions
3. Factorization by Making Groups
4. Problem-Factorization by Making Groups
5. Application of Difference of Square of Two Terms
6. Problem on Product of Binomial with Same First Term-p1
7. Problem on Product of Binomial with Same First Term-p2

Chapter 9: Linear Equations (13 videos)   (Practice Test)

9.1: Linear Equations

1. Linear Equations in one, two and three variables
2. Problem-Introduction to Linear Equations

9.2: Solution of Linear Equations  (Practice Test)

1. Solution of a Linear Equations
2. Problem-Solution of a Linear Equations
3. Solving Linear Equation Involving Fractional Coefficients
4. Problem-Solving Linear Equation Involving Fractional Coefficients
5. Solving Fractional Linear Equations
6. Problem-Solving Fractional Linear Equations
7. Solving Linear Equation by Collecting Like Terms
8. Solving Linear Equation by Using Distributive Law
9. Solving Linear Equation by Clearing the Large Co-efficient
10. Word Problem-1 of Linear Equation
11. Word Problem-2 of Linear Equation

Chapter 10: Fundamentals of Geometry (12 videos)   (Practice Test)

10.1: Adjacent angles  (Practice Test)

1. Kinds of an Angle
2. Concept of Adjacent Angles

10.2: Complementary Angles

1. Concept of Complementary Angles

10.3: Supplementary Angles

1. Concept of Supplementary Angles

10.4: Vertically Opposite Angles

1. Vertically Opposite Angles

10.5: Calculate the measure of Unknown Angles of a Triangle  (Practice Test)

1. Finding Unknown Angles Involving Adjacent Angles
2. Finding Unknown Angles Involving complementary Angles
3. Finding Unknown Angles Involving Supplementary Angles
4. Finding Unknown Angles Involving Vertically Opposite Angles
5. Finding Unknown Angle of a Triangle

10.6: Congruent

1. Concept of Congruent Angles
2. Identification of Congruent and Similar Figures