Chapter 1

Rational Numbers

Introduction

medium • 1 min read

Properties of Rational Numbers

medium • 2 min read

Representation of Rational Numbers on the Number Line

medium • 3 min read

Rational Numbers between Two Rational Numbers

medium • 4 min read

Chapter 2

Linear Equations in One Variable

Introduction

medium • 1 min read

Solving Equations which have Linear Expressions on one Side and Numbers on the other Side

medium • 2 min read

Some Applications

medium • 3 min read

Solving Equations having the Variable on both Sides

medium • 4 min read

Some More Applications

medium • 5 min read

Reducing Equations to Simpler Form

medium • 6 min read

Equations Reducible to the Linear Form

medium • 7 min read

Chapter 3

Understanding Quadrilaterals

Introduction

medium • 1 min read

Polygons

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Sum of the Measures of the Exterior Angles of a Polygon

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Kinds of Quadrilaterals

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Some Special Parallelograms

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Chapter 4

Practical Geometry

Introduction

medium • 1 min read

Constructing a Quadrilateral

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Some Special Cases

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Chapter 5

Data Handling

Looking for Information

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Organising Data

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Grouping Data

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Circle Graph or Pie Chart

medium • 4 min read

Chance and Probability

medium • 5 min read

Chapter 6

Squares and Square Roots

Introduction

medium • 1 min read

Properties of Square Numbers

medium • 2 min read

Some More Interesting Patterns

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Finding the Square of a Number

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Square Roots

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Square Roots of Decimals

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Estimating Square Root

medium • 7 min read

Chapter 7

Cubes and Cube Roots

Introduction

medium • 1 min read

Cubes

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Cube Roots

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Chapter 8

Comparing Quantities

Recalling Ratios and Percentages

medium • 1 min read

Finding the Increase or Decrease Per cent

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Finding Discounts

medium • 3 min read

Prices Related to Buying and Selling (Profit and Loss)

medium • 4 min read

Sales Tax/Value Added Tax/Goods and Services Tax

medium • 5 min read

Compound Interest

medium • 6 min read

Deducing a Formula for Compound Interest

medium • 7 min read

Rate Compounded Annually or Half Yearly

medium • 8 min read

Applications of Compound Interest Formula

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Chapter 9

Algebraic Expressions and Identities

What are Expressions?

medium • 1 min read

Terms, Factors and Coefficients

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Monomials, Binomials and Polynomials

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Like and Unlike Terms

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Addition and Subtraction of Algebraic Expressions

medium • 5 min read

Multiplication of Algebraic Expressions

medium • 6 min read

Multiplying a Monomial by a Monomial

medium • 7 min read

Multiplying a Monomial by a Polynomial

medium • 8 min read

Multiplying a Polynomial by a Polynomial

medium • 9 min read

What is an Identity?

medium • 10 min read

Standard Identities

medium • 11 min read

Applying Identities

medium • 12 min read

Chapter 10

Visualising Solid Shapes

Introduction

medium • 1 min read

Views of 3D-Shapes

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Mapping Space Around Us

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Faces, Edges and Vertices

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Chapter 11

Mensuration

Introduction

medium • 1 min read

Let us Recall

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Area of Trapezium

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Area of a General Quadrilateral

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Area of a Polygon

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Solid Shapes

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Surface Area of Cube, Cuboid and Cylinder

medium • 7 min read

Volume of Cube, Cuboid and Cylinder

medium • 8 min read

Volume and Capacity

medium • 9 min read

Chapter 12

Exponents and Powers

Introduction

medium • 1 min read

Powers with Negative Exponents

medium • 2 min read

Laws of Exponents

medium • 3 min read

Use of Exponents to Express Small Numbers in Standard Form

medium • 4 min read

Chapter 13

Direct and Inverse Proportions

Introduction

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Direct Proportion

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Inverse Proportion

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Chapter 14

Factorisation

Introduction

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What is Factorisation?

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Method of Common Factors

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Factorisation by Regrouping Terms

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Factorisation using Identities

medium • 5 min read

Division of Algebraic Expressions

medium • 6 min read

Division of a Polynomial by a Monomial

medium • 7 min read

Division of Polynomial by Polynomial

medium • 8 min read

Can You Find the Error?

medium • 9 min read

Chapter 15

Introduction to Graphs

Introduction

medium • 1 min read

A Bar Graph

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A Pie Graph

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A Histogram

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A Line Graph

medium • 5 min read

Linear Graphs

medium • 6 min read

Some Applications

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Chapter 16

Playing with Numbers

Introduction

medium • 1 min read

Numbers in General Form

medium • 2 min read

Games with Numbers

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Letters for Digits

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Tests of Divisibility

medium • 5 min read