Maths Olympiad Prep Guide for Class 8

Rational Numbers

1. Properties of Addition for Rational Numbers
2. Properties of Subtraction for Rational Numbers
3. Negative of a Rational Number
4. Properties of Multiplication for Rational Numbers
5. Reciprocal of a Rational Number
6. Properties of Division for Rational Numbers
7. Rational Number between two Rational Numbers
8. Representation of Rational Numbers on the Number Line

Squares and Cubes

1. Square
2. Properties of Squares
3. Pythagorean Triplets
4. Estimation Method
5. Cube

Exponents and Powers

1. Exponents
2. Laws of Exponents

Linear Equations in One Variable

1. What is an Equation?
2. Rules of Transposition (Rules for Solving Equations)
3. How to Solve a Linear Equation?

Algebraic Expressions and Identities

1. Algebraic Expression
2. Like and Unlike Terms
3. Types of Algebraic Expression
4. Degree of a Polynomial
5. Addition and Subtraction of Polynomials
6. Multiplication of Polynomials
7. Identity

Factorisation

1. Factors
2. Factorisation
3. Standard Identities
4. Division of Polynomial
5. Methods of Factorisation

Understanding Quadrilaterals

1. Polygon
2. Convex and Concave Polygons
3. Regular and Irregular Polygons
4. Properties of Polygons
5. Quadrilateral
6. Types of Quadrilaterals

Practical Geometry

1. Construction of a Line Segment
2. Construction of an Angle
3. Construction of Triangles
4. Construction of Quadrilaterals

Mensuration

1. Perimeter and Area
2. Volume and Surface Area

Comparing Quantities

1. Ratio
2. Proportion
3. Percentage
4. Profit and Loss
5. Discount
6. Simple Interest
7. Compound Interest

Direct and Indirect Proportions

1. Proportion
2. Unitary Method
3. Time and Work

Visualising Solid Shapes

1. Plane Figures
2. Solid Figures
3. Euler's Formula
4. Visualising Solid Shapes
5. Symmetry
6. Rotational Symmetry

Playing with Numbers

1. General Form of Two-Digit Numbers
2. Three-Digit Numbers
3. Letters for Digits
4. Divisibility Tests

Introduction to Graphs

1. Graph
2. Cartesian Plane
3. Quadrants

Data Handling

1. Statistics
2. Histogram
3. Bar Graph
4. Pie Graph
5. Event
6. Probability