Important Questions for Class 10 Mathematics (Chapter-wise, Free)
Important questions and high-weightage chapters for Class 10 Mathematics — chapter-wise key topics with free practice. CBSE/NCERT-aligned.
TL;DR: Important questions and high-weightage chapters for Class 10 Mathematics — chapter-wise key topics with free practice. CBSE/NCERT-aligned.
Written & reviewed by the Syllab.in Academic Team (CBSE/NCERT subject experts) · Updated
Chapter-wise important questions for Class 10 Mathematics. 20 chapters are covered below, 15 with past-year questions and 13 with objective practice — every link goes to a full set with worked solutions, free and without a login.
Where the Marks Are — Class 10 Mathematics
CBSE Class 10 Maths is 80 marks (theory). Algebra and Geometry alone carry 35 of 80 — master these first.
| Unit | Marks | Focus on |
|---|---|---|
| Algebra | 20 | Highest weightage. Quadratic equations, AP and polynomials are repeat scorers. |
| Geometry | 15 | Triangles and circles — practise proofs and construction. |
| Trigonometry | 12 | Heights & distances + identities — formula-driven, easy marks. |
| Statistics & Probability | 11 | Mean/median/mode and basic probability — quick, high-return. |
| Mensuration | 10 | Surface area & volume of combined solids. |
| Coordinate Geometry | 6 | Distance, section and area formulas. |
| Number Systems | 6 | Real numbers, HCF/LCM, Euclid’s lemma. |
Full marks weightage for Class 10 Mathematics →
Chapter-wise Important Questions
Each row links to the material that exists for that chapter. A dash means we do not have that format for the chapter yet — it is not a broken link.
| Chapter | Past-year questions | Objective / MCQs | Revision notes |
|---|---|---|---|
| Areas Related to Circles | PYQs | — | Notes |
| Arithmetic Progressions | PYQs | MCQs | Notes |
| Circles | PYQs | MCQs | Notes |
| Constructions | PYQs | — | — |
| Coordinate Geometry | PYQs | MCQs | Notes |
| Coordinate Geometry (Case Study) | — | MCQs | — |
| Introduction to Trigonometry | PYQs | — | Notes |
| Pair of Linear Equations | PYQs | — | — |
| Pair of Linear Equations in Two Variables | — | — | Notes |
| Polynomials | PYQs | MCQs | Notes |
| Probability | PYQs | MCQs | Notes |
| Probability (Case Study) | — | MCQs | — |
| Quadratic Equations | PYQs | MCQs | Notes |
| Real Numbers | PYQs | MCQs | Notes |
| Some Applications of Trigonometry | PYQs | — | — |
| Statistics | PYQs | — | Notes |
| Surface Areas and Volumes | PYQs | MCQs | Notes |
| Triangles | PYQs | MCQs | Notes |
| Trigonometry | — | MCQs | Notes |
| Trigonometry (Applications Case Study) | — | MCQs | — |
How to Work Through These
Take the chapters in order of marks, not in order of the textbook. For each one, read the revision notes to fix the ideas, then do the past-year questions under time — those show you the phrasing examiners actually use, which is usually narrower than the chapter itself. Objective questions are best left for the last week, when they become a fast way to find gaps rather than a way to learn.
A chapter is finished when you can produce the answer without looking, not when you have read the solution and agreed with it.
Frequently Asked Questions
Which chapters are most important for Class 10 Mathematics?
By marks, Algebra (20), Geometry (15), Trigonometry (12) carry the most in the board paper — see the weightage table above. Within those, the chapters listed below with past-year questions are the ones examiners have actually returned to.
How should I use important questions when revising?
Read the chapter first, then attempt its questions closed-book, and only then check the solutions. Working the questions before revising the chapter tells you what you do not know, which is useful; working them with the answers open tells you nothing at all.
Are previous year questions available for Class 10 Mathematics?
Yes — 15 of the 20 chapters listed have a past-year question set with worked solutions, linked in the table above.
All Class 10 subjects → · Full-length sample papers → · All previous-year questions →
14 pages in this section, organised into 8 letters. Every one is free and opens without an account.
A (2)
- Arithmetic Progressions Class 10 Important Questions (Maths Ch 5) — Free
- Areas Related to Circles Class 10 Important Questions (Maths Ch 11) — Free
C (2)
- Coordinate Geometry Class 10 Important Questions (Maths Ch 7) — Free
- Circles Class 10 Important Questions (Maths Ch 10) — Free
I (1)
P (3)
- Polynomials Class 10 Important Questions (Maths Ch 2) — Free
- Pair of Linear Equations in Two Variables Class 10 Important Questions (Maths Ch 3) — Free
- Probability Class 10 Important Questions (Maths Ch 14) — Free
Q (1)
R (1)
S (3)
- Some Applications of Trigonometry Class 10 Important Questions (Maths Ch 9) — Free
- Surface Areas and Volumes Class 10 Important Questions (Maths Ch 12) — Free
- Statistics Class 10 Important Questions (Maths Ch 13) — Free