Important Questions for Class 12 Mathematics (Chapter-wise, Free)
Important questions and high-weightage chapters for Class 12 Mathematics — chapter-wise key topics with free practice. CBSE/NCERT-aligned.
TL;DR: Important questions and high-weightage chapters for Class 12 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 12 Mathematics. 6 chapters are covered below, 6 with past-year questions — every link goes to a full set with worked solutions, free and without a login.
Where the Marks Are — Class 12 Mathematics
Class 12 Maths is 80 marks. Calculus alone is ~35 — nearly half the paper.
| Unit | Marks | Focus on |
|---|---|---|
| Calculus | 35 | Continuity, derivatives, integrals, differential equations — practise daily. |
| Vectors & 3-D Geometry | 14 | Dot/cross product, lines and planes — formula-driven. |
| Algebra (Matrices & Determinants) | 10 | Operations, inverse, solving equations — accuracy matters. |
| Relations & Functions | 8 | Types of functions, inverse trig. |
| Probability | 8 | Conditional probability, Bayes’ theorem. |
| Linear Programming | 5 | Graphical method — easy full marks. |
Full marks weightage for Class 12 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 |
|---|---|---|---|
| Application of Derivatives | PYQs | — | — |
| Differential Equations | PYQs | — | — |
| Integrals | PYQs | — | — |
| Matrices and Determinants | PYQs | — | — |
| Probability | PYQs | — | — |
| Three Dimensional Geometry | PYQs | — | — |
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 12 Mathematics?
By marks, Calculus (35), Vectors & 3-D Geometry (14), Algebra (Matrices & Determinants) (10) 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 12 Mathematics?
Yes — 6 of the 6 chapters listed have a past-year question set with worked solutions, linked in the table above.
All Class 12 subjects → · Full-length sample papers → · All previous-year questions →