Mathematics

This is a complete, free study companion for Mathematics — built around what the exam actually asks. The topics examiners repeat most are Solving linear equations in one variable, Profit, loss and percentage calculations, and Algebraic identities for expansion and simplification. The syllabus runs to 16 chapters. Below you'll find the full topic-frequency ranking, the exam paper pattern, every chapter, a step-by-step study plan, and the official downloads — everything in one place.

Everything here is free. We're an independent student resource, not the official CBSE body, so always confirm the current syllabus and exam dates on the official CBSE website before you rely on them.

Key information

Level: Class 8
Programme: CL08
Exam: School Based Examination
Conducted by: Central Board of Secondary Education (CBSE)

Most important topics (by past-paper frequency)

#	Topic	Times asked	Likelihood
1	Solving linear equations in one variable	6	100%
2	Profit, loss and percentage calculations	6	100%
3	Algebraic identities for expansion and simplification	6	100%
4	Surface area of cube, cuboid and cylinder	6	100%
5	Volume of cube, cuboid and cylinder	6	100%
6	Laws of exponents	6	100%
7	Factorisation using identities	6	100%
8	Rational numbers between two rational numbers	5	83.3%
9	Equations with variables on both sides	5	83.3%
10	Equations with brackets and fractions	5	83.3%
11	Word problems based on linear equations	5	83.3%
12	Exterior angle and number of sides of regular polygon	5	83.3%

Based on how often each topic appeared in official previous-year question papers.

What you will study (chapters)

Chapter 1: Rational Numbers
Chapter 2: Linear Equations in One Variable
Chapter 3: Understanding Quadrilaterals
Chapter 4: Practical Geometry
Chapter 5: Data Handling
Chapter 6: Squares and Square Roots
Chapter 7: Cubes and Cube Roots
Chapter 8: Comparing Quantities
Chapter 9: Algebraic Expressions and Identities
Chapter 10: Visualising Solid Shapes
Chapter 11: Mensuration
Chapter 12: Exponents and Powers
Chapter 13: Direct and Inverse Proportions
Chapter 14: Factorisation
Chapter 15: Introduction to Graphs
Chapter 16: Playing with Numbers

Official textbook

Mathematics — official textbook / study material — Free download from the official source.

How to study Mathematics and score well

Start with the highest-frequency topics — In Mathematics, Solving linear equations in one variable, Profit, loss and percentage calculations, Algebraic identities for expansion and simplification, and Surface area of cube, cuboid and cylinder appear again and again in past papers. Master these first — they return the most marks for the time you put in.
Practise with previous-year papers — Solve the last 5–10 years of CBSE Mathematics papers under timed, exam-like conditions. Past papers show exactly which topics repeat and how questions are worded.
Revise actively, not passively — Write a one-page summary for each of the 16 chapters — key definitions, formulas and the points examiners reward — then re-test yourself instead of re-reading.
Mark your answers with the official scheme — After each practice paper, score yourself against the official marking scheme. It shows how marks are awarded step-by-step, so you learn to present answers the way examiners expect.

Exam tips: how to score higher in Mathematics

Where students lose marks: rushing the high-weightage questions, skipping the steps the marking scheme rewards, and saving easy sections for last. Read the whole paper first, attempt your strongest section early to bank marks, and always show your working.

Manage your time: split your time in proportion to the marks each section carries, keep a few minutes at the end to check, and never leave a question blank — a partial, structured answer still earns partial marks.

Frequently asked questions

What are the most important topics in Mathematics?

Based on past papers, the most frequently asked topics include Solving linear equations in one variable, Profit, loss and percentage calculations, Algebraic identities for expansion and simplification. The full ranked list with how often each appears is in the "Most important topics" section above.

Where can I download Mathematics previous-year question papers?

Official CBSE previous-year question papers are available on the official CBSE website. Open the Question Papers section for the direct link, plus the exam pattern and the topics that repeat most.

How can I prepare for Mathematics faster?

Start with the highest-frequency topics, learn the exam pattern so you know how each section is marked, and practise with past papers. A subject-aware study tutor can quiz you on exactly these topics.

A Gyani AI tutor trained on the Mathematics syllabus and past papers can quiz you on the most-asked topics and show you exactly what to revise.