Chapter 1

Rational Numbers

Properties of Rational Numbers

medium • 1 min read

Representation on Number Line

medium • 2 min read

Rational Numbers between Two Rational Numbers

medium • 3 min read

Operations on Rational Numbers

medium • 4 min read

Word Problems on Rational Numbers

medium • 5 min read

Chapter 2

Exponents and Powers

Laws of Exponents

medium • 1 min read

Negative Integral Exponents

medium • 2 min read

Scientific Notation

medium • 3 min read

Comparing very large and small numbers

medium • 4 min read

Application of Exponents

medium • 5 min read

Chapter 3

Squares and Square Roots

Properties of Square Numbers

medium • 1 min read

Finding Square of a Number

medium • 2 min read

Square Roots by Prime Factorisation

medium • 3 min read

Square Roots by Division Method

medium • 4 min read

Square Roots of Decimals

medium • 5 min read

Chapter 4

Cubes and Cube Roots

Properties of Cubes

medium • 1 min read

Finding Cube of a Number

medium • 2 min read

Cube Roots by Prime Factorisation

medium • 3 min read

Cube Root of a Perfect Cube

medium • 4 min read

Word Problems on Cubes

medium • 5 min read

Chapter 5

Playing with Numbers

Numbers in General Form

medium • 1 min read

Games with Numbers

medium • 2 min read

Letters for Digits

medium • 3 min read

Tests of Divisibility (2, 3, 5, 9, 10)

medium • 4 min read

Divisibility Rules for 7 and 11

medium • 5 min read

Chapter 6

Algebraic Expressions and Identities

Terms, Factors and Coefficients

medium • 1 min read

Addition and Subtraction of Algebraic Expressions

medium • 2 min read

Multiplication of Algebraic Expressions

medium • 3 min read

Standard Identities (a+b)2, (a-b)2

medium • 4 min read

Identity (x+a)(x+b)

medium • 5 min read

Chapter 7

Factorisation

Method of Common Factors

medium • 1 min read

Factorisation by Regrouping Terms

medium • 2 min read

Factorisation using Identities

medium • 3 min read

Division of Algebraic Expressions

medium • 4 min read

Division of Polynomial by Polynomial

medium • 5 min read

Chapter 8

Linear Equations in One Variable

Solving Equations with Linear Expressions

medium • 1 min read

Applications of Linear Equations

medium • 2 min read

Solving Equations with Variables on Both Sides

medium • 3 min read

Reducing Equations to Simpler Form

medium • 4 min read

Equations Reducible to Linear Form

medium • 5 min read

Chapter 9

Comparing Quantities

Ratios and Percentages

medium • 1 min read

Finding Discounts

medium • 2 min read

Estimation in Percentages

medium • 3 min read

Prices related to Buying and Selling (Profit/Loss)

medium • 4 min read

Sales Tax and Value Added Tax

medium • 5 min read

Chapter 10

Compound Interest

Meaning of Compound Interest

medium • 1 min read

Deducing the Formula for Compound Interest

medium • 2 min read

Rate Compounded Annually or Half Yearly

medium • 3 min read

Applications of Compound Interest Formula

medium • 4 min read

Population Growth and Depreciation

medium • 5 min read

Chapter 11

Direct and Inverse Proportions

Concept of Direct Proportion

medium • 1 min read

Methods to solve Direct Proportion

medium • 2 min read

Concept of Inverse Proportion

medium • 3 min read

Methods to solve Inverse Proportion

medium • 4 min read

Time and Work Problems

medium • 5 min read

Chapter 12

Understanding Quadrilaterals

Polygons and their Classification

medium • 1 min read

Angle Sum Property of Polygons

medium • 2 min read

Sum of Measures of Exterior Angles

medium • 3 min read

Kinds of Quadrilaterals (Trapezium, Kite)

medium • 4 min read

Parallelogram and its Properties

medium • 5 min read

Chapter 13

Practical Geometry

Constructing a Quadrilateral given 4 sides and 1 diagonal

medium • 1 min read

Constructing given 3 sides and 2 diagonals

medium • 2 min read

Constructing given 3 sides and 2 included angles

medium • 3 min read

Constructing given 2 adjacent sides and 3 angles

medium • 4 min read

Some Special Cases (Square, Rhombus)

medium • 5 min read

Chapter 14

Visualising Solid Shapes

Faces, Edges and Vertices

medium • 1 min read

Nets for building 3D Shapes

medium • 2 min read

Drawing Solids on a Flat Surface

medium • 3 min read

Isometric Sketches

medium • 4 min read

Viewing Different Sections of a Solid

medium • 5 min read