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All Chapters
Chapter 1: Sets
Chapter 2: Rational Numbers
Chapter 3: Decimals
Chapter 4: Exponents
Chapter 5: Square Root of Positive Numbers
Chapter 6: Direct and Inverse Variation
Chapter 7: Financial Arithmetic
Chapter 8: Algebraic Expressions
Chapter 9: Linear Equations
Chapter 10: Fundamentals of Geometry
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Chapter 1: Sets (
44 videos
)
  (
Practice Test
)
1.1: Concept of a Set  (
Practice Test
)
Set Definition
Problem-Introduction to Set
Presentation of a Set
Set Builder Notation
Problem-Describing a Set
1.2: Operations on Sets  (
Practice Test
)
Union of Two Sets
Problem-Union of Two Sets
Intersection of Set
Problem-Intersection of Two Sets
Problem-Difference of Two Sets
Problem-Union of Three Sets
Problem-Intersection of Three Sets
Disjoint Set
Overlapping Sets
Problem-Disjoint and Overlapping Sets
Complement of a Set
Universal Set
Problem-Universal Set and Complement of a Set
Commutative Property of Union of Sets
Problem-Commutative Property of Union of Sets
Associative Property of Union of Sets
Problem-Associative Property of Union of Sets
Identity Property with Respect to Union
Commutativity of Intersection
Problem-Commutative Property of Intersection of Sets
Associative Property of Intersection of Sets
Problem-Associative Property of Intersection of Sets
Identity Property with Respect to Intersection
Prob-Identity Property with Respect to Intersection
Difference of Sets
Prob-Properties Involving Difference of Sets
Properties Involving Complement of a Set
Prob-Properties Involving Complement of a Set
1.3: Venn Diagram  (
Practice Test
)
Introduction to Venn Diagram
Problem-Introduction to Venn Diagram
Problem-Representing Sets Through Venn Diagrams
Performing Union of Sets Through Venn Diagram
Problem-Performing Union of Sets Through Venn Diagram
Performing Intersection of Sets Through Venn Diagram
Problem-Performing Intersection of Sets Through Venn Diagram
Difference of Sets for Overlapping Sets
Problem-Difference of Two Sets A and B Through Venn Diagram
Complement of a Set Through Venn Diagram
Problem-Complement of a Set Through Venn Diagram
Chapter 2: Rational Numbers (
28 videos
)
  (
Practice Test
)
2.1: Rational Numbers  (
Practice Test
)
Introduction to Rational Numbers
Problem-Concept of Rational Numbers
Representation of Rational Number on a Number Line
Problem-Representation of Rational Number on a Number Line
2.2: Operations on Rational Numbers  (
Practice Test
)
Addition of Two or More Rational Numbers
Problem-Addition of Two or More Rational Numbers
Subtraction of Two or More Rational Numbers
Problem-Subtraction of Two or More Rational Numbers
Multiplication and Dividing Rational Numbers
Problem-Multiplication of Rational Numbers
Division of Rational Numbers
Problem-Division of Rational Numbers
Finding Reciprocal of a Rational Number
Problem-Finding Reciprocal of a Rational Number
Commutative Law of rational numbers w.r.t addition
Commutative Law of rational numbers w.r.t multiplication
Problem-Commutative Property with Respect to Multiplication
Associative Law
Associative law of Subtraction and Division
Distributive Property of Multiplication Over Addition
Problem-Distributive Property of Multiplication Over Addition
Distributive Property of Multiplication Over Subtraction
Problem-Distributive Property of Multiplication Over Subtraction
Comparison of Rational Numbers Having Same Denominator
Comparison of Rational Numbers Having Different Denominator
Problem-Comparison of Rational Numbers Having Different Denominator
Ordering of Rational Numbers
Problem-Arranging Rational Numbers in Order
Chapter 3: Decimals (
13 videos
)
  (
Practice Test
)
3.1: Conversion of Decimals to Rational Numbers  (
Practice Test
)
Percentages, Fractions and Decimals
Conversion of Decimals to Rational Numbers
Problem-Conversion of Decimals to Rational Numbers
3.2: Terminating and Non-Terminating Decimals  (
Practice Test
)
Terminating Decimals
Problem-Terminating Decimals
Non-terminating Decimals
Problem-Non-terminating Decimals
Expressing a Rational Number as a Decimal
Problem-Expressing a Rational Number as a Decimal
Rule to Check the Nature of a Given Rational Number
Problem-Rule to Check the Nature of a Given Rational Number
Introduction to Approximate Values
Problem-Introduction to Approximate Values
Chapter 4: Exponents (
13 videos
)
  (
Practice Test
)
4.1: Exponents / Indices
Identification of Base, Exponent and Value
Problem-Identification of Base, Exponent and Value
4.2: Laws of Exponents / Indices  (
Practice Test
)
Product Law of Exponents of Rational Numbers
Problem-Product Law of Exponents of Rational Numbers
Quotient Law of Exponents of Rational Numbers
Problem-Quotient Law of Exponents of Rational Numbers
Power Law of Rational Numbers
Problem-Power Law of Rational Numbers
Zero and negative Indices
Problem-Negative Exponent of Rational Numbers
Chapter 5: Square Root of Positive Numbers (
29 videos
)
  (
Practice Test
)
5.1: Perfect Squares  (
Practice Test
)
Squares and Squares Root
Concept of Prefect Squares
Test Whether a Number is a Perfect Square or Not
Problem-Test Whether a Number is a Perfect Square or Not
The Square of an Even Number is Even
Problem-The Square of an Even Number is Even
The Square of a Proper Fraction is Less than Itself
The Square of a Decimal less than 1 is Less than Itself
Problem-The Square of a Decimal less than 1 is Less than Itself
Squares of Natural Numbers
Introduction to Square Root of Positive Numbers
Problem-Introduction to Square Root of Positive Numbers
The Square Root of Numbers Which are Perfect Square
5.2: Square Roots  (
Practice Test
)
Square Root of a Natural Number
Problem-Finding Square Roots By Prime Factorization
Finding Square Roots of Fractions
Problem-Finding Square Roots of Fractions
Finding Square Roots of Decimals
More on Finding Square Roots of Decimals
Problem-Finding Square Roots of Decimals
Finding Square Roots By Division Method
More on Finding Square Roots By Division Method
Problem-Finding Square Roots By Division Method
Find square roots of fractions by division method
Finding Square Roots of Decimals
More on Finding Square Roots of Decimals
Problem-Finding Square Roots of Decimals By Division Method
Solving Problem Involving Square Root-Problem-1
Solving Problem Involving Square Root-Problem-2
Chapter 6: Direct and Inverse Variation (
27 videos
)
  (
Practice Test
)
6.1: Ratio  (
Practice Test
)
Concept of Ratio
Problem-Concept of Ratio
Concept of Continued Ratio
Problem-Concept of Continued Ratio
Direct Variations
Problem-Introduction to Direct and Inverse Variation
Introduction to Proportion
Problem-Concept of Proportion
Direct Proportion
Inverse Proportion
Problem-Types of Proportion
Solving Word Problem by Using Unitary Method
Solving Word Problem by Using Proportion Method
Solving Problem Involving Direct Proportion
Solving Problem Involving Inverse Proportion
Problem-Solving Problem Involving Direct Proportion
6.2: Rate  (
Practice Test
)
Rate
Problem-Concept of Rate
Use of Proportion in Time and Work
Problem-Use of Proportion in Time and Work
Solving by Using Proportion in Time and Work-Word Problems1
Speed and Average Speed
Relation Between Time and Distance
6.3: Conversion of Units of Speed  (
Practice Test
)
Conversion of Units of Speed
More on Conversion of Units of Speed
Problem-Conversion of Units of Speed
Solve real life problems involving time and distance
Chapter 7: Financial Arithmetic (
18 videos
)
  (
Practice Test
)
7.1: Taxes  (
Practice Test
)
Concept of Property Tax
Problem-Concept of Property Tax
Problem Related to Tax-p2
Problem Related to Tax-p3
Concept of Taxable Area
Problem-Concept of Taxable Area
7.2: General Sales Tax  (
Practice Test
)
Value-added Tax and GST
Problem Related to Tax-p1
7.3: Profit
concept of percent profit
Problem- profit percentage
Word Problem of Profit
Problem-Word Problem of Profit
Concept of Markup
Problem-Concept of Markup
Word Problem of Markup
More on Word Problem of Markup
7.4: Zakat
Introduction to Zakat
Word Problem of Zakat
More on Word Problem of Zakat
7.5: Ushr
Introducing Ushr
Word Problem of Ushr
More on Word Problem of Ushr
Chapter 8: Algebraic Expressions (
42 videos
)
  (
Practice Test
)
8.1: Algebraic Expressions  (
Practice Test
)
Introduction to Algebra
Problem-Introduction to Algebra
Introducing Variable & Constant
Problem-Concepts of Constant and Variables / Literals
Power or Exponent or Indices of Literal Number
Problem-Power or Exponent or Indices of Literal Number
Algebraic Expressions & Algebraic Sentences
Problem-Introduction to Algebraic Expressions
Algebraic Terms
Problem-Algebraic Terms
Concept of Polynomial and its Degree
Degree of a polynomial
Problem-Concept of Polynomial and its Degree
Coefficients of a Polynomial
Polynomials in One, Two and More Variables
Identification of a Monomial, Binomial and Trinomial
Problem-Identification of a Monomial, Binomial and Trinomial
8.2: Operations with Polynomials  (
Practice Test
)
Addition of Algebraic Expression
Equality Property of Rational Expression
Multiplication of Polynomials
Multiplication of binomials with trinomials
Problem-Multiplication of Polynomials-1
Problem-Multiplication of Polynomials-2
Vertical Multiplication of Polynomials
Problem-Vertical Multiplication of Polynomials
8.3: Algebraic Identities  (
Practice Test
)
Introduction to Algebraic Identities
Problem-Introduction to Algebraic Identities
Product of Binomial with Same First Term
Problem-Product of Binomial with Same First Term
Product of Same Binomial
More on Product of Same Binomial
Problem-Product of Same Binomial
Difference of Square of Two Terms
Problem1-Difference of Square of Two Terms
Problem2-Difference of Square of Two Terms
8.4: Factorization of Algebraic Expressions  (
Practice Test
)
Introduction to Factorization
Problem-Factorization of Algebraic Expressions
Factorization by Making Groups
Problem-Factorization by Making Groups
Application of Difference of Square of Two Terms
Problem on Product of Binomial with Same First Term-p1
Problem on Product of Binomial with Same First Term-p2
Chapter 9: Linear Equations (
13 videos
)
  (
Practice Test
)
9.1: Linear Equations
Linear Equations in one, two and three variables
Problem-Introduction to Linear Equations
9.2: Solution of Linear Equations  (
Practice Test
)
Solution of a Linear Equations
Problem-Solution of a Linear Equations
Solving Linear Equation Involving Fractional Coefficients
Problem-Solving Linear Equation Involving Fractional Coefficients
Solving Fractional Linear Equations
Problem-Solving Fractional Linear Equations
Solving Linear Equation by Collecting Like Terms
Solving Linear Equation by Using Distributive Law
Solving Linear Equation by Clearing the Large Co-efficient
Word Problem-1 of Linear Equation
Word Problem-2 of Linear Equation
Chapter 10: Fundamentals of Geometry (
12 videos
)
  (
Practice Test
)
10.1: Adjacent angles  (
Practice Test
)
Kinds of an Angle
Concept of Adjacent Angles
10.2: Complementary Angles
Concept of Complementary Angles
10.3: Supplementary Angles
Concept of Supplementary Angles
10.4: Vertically Opposite Angles
Vertically Opposite Angles
10.5: Calculate the measure of Unknown Angles of a Triangle  (
Practice Test
)
Finding Unknown Angles Involving Adjacent Angles
Finding Unknown Angles Involving complementary Angles
Finding Unknown Angles Involving Supplementary Angles
Finding Unknown Angles Involving Vertically Opposite Angles
Finding Unknown Angle of a Triangle
10.6: Congruent
Concept of Congruent Angles
Identification of Congruent and Similar Figures
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