Mathematics Tutorials: Learn Maths Step by Step

Learn mathematics step by step with clear definitions, simple rules, worked examples and practice questions. Start with basic numbers and shapes, then continue to arithmetic, geometry, algebra and aptitude topics.

Start with the basics

Length Measurement · Numbers and Number Types · Number System · Mathematical Shapes · BODMAS Order of Operations · Simplification

Geometry

Geometry Basics · Triangles · Circles · Quadrilaterals · Cube, Cuboid, Cylinder and Cone · Symmetry

Fractions, decimals and percentages

Fractions · Decimal Numbers · Percentages · Ratio and Proportion · Average

Factors, powers and roots

Common Factors · HCF and LCM · Exponents · Square Roots and Cube Roots · Surds and Indices · Logarithms

Algebra and sequences

Algebraic Expressions · Sets · Geometric Progression · Permutation and Combination · Probability

Commercial mathematics

Profit and Loss · Simple and Compound Interest · Partnership · Mixture and Alligation

Time, work and movement

Time and Work · Time, Speed and Distance · Boats and Streams · Train Problems · Pipes and Cisterns

Quantitative aptitude practice

Average · Number System · HCF and LCM · Simplification · Problems on Ages · Mixture and Alligation · Train Problems · Pipes and Cisterns · Probability · Permutation and Combination · Data Interpretation

How to use these tutorials

Read the definition first, understand each rule through the solved examples, and then attempt the practice questions without looking at the answers. If a topic feels difficult, return to its prerequisite lesson and work through it slowly.