CBSE Class 12 Mathematics Previous Year Question Papers (2022–2026)

Class 12 Mathematics board papers with marking schemes

Two sets per year from different CBSE regions. Question papers are published by CBSE; click a PDF to download it free.

Class 12 Mathematics sample paper 2026-27

CBSE released the 2026-27 Sample Question Paper on 21 September 2026 and confirmed there is no change in the question paper design for 2026-27. Practise it first: it shows exactly how your board paper will look.

Chapter-wise weightage (from 8 board papers)

Average marks each chapter carried per board paper. Start revision with the chapters at the top.

Most repeated Mathematics questions in CBSE board exams

These questions (or near-identical ones) appeared in more than one board exam year.

1. dy 10. Find the particular solution of the differential equation x dx given that when x = l, y =
   Asked in 2022, 2023, 2024, 2025, 2026Integrals1 mark
2. Find the product of the order and the degree of the differential equation 0 y dx dy ) xy ( dx d 2 . .
   Asked in 2022, 2023, 2024, 2025, 2026Integrals1 mark
3. (a) If A =             0 1 1 2 1 2 , find A–1 and use it to solve the following system of equations : –2y + z = 7, 2x – y – z = 8, x – 2y = 10 5 OR (b) If              2 7 11 2 cos 4 7 3 sin 1 3 …
   Asked in 2022, 2023, 2024, 2025, 2026Matrices5 marks
4. If a, , are three non-zero unequal vectors such that a. = a. , then find the angle between a and - . 1
   Asked in 2022, 2023, 2024, 2025, 2026Vectors2 marks
5. If a and b are two non-collinear vectors, then find x, such that & = (x - 2) a + b and · = (3 + 2x) a - 2b are collinear. dy
   Asked in 2022, 2023, 2024, 2025, 2026Vectors2 marks
6. (a) Find the general solution of the differential equation : (·xy - x2) dy = y2 dx. OR (b) Find the general solution of the differential equation :
   Asked in 2022, 2023, 2024, 2025, 2026Differential Equations3 marks
7. (a) Solve the differential equation 2(y + 3) - xy dx OR (b) Solve the following differential equation : + 2xy = 4x2. (1 + x2)- dx
   Asked in 2022, 2023, 2024, 2025, 2026Differential Equations3 marks
8. (a) A function f : A B defined as f(x) = 2x is both one-one and onto. If A = {1, 2, 3, 4}, then find the set B. OR (b) Evaluate : sin 1 4 3 sin + cos 1 4 3 cos + tan 1 (1)
   Asked in 2022, 2023, 2024, 2025, 2026Relations & Functions2 marks

See all repeated questions with answers →

Class 12 Mathematics paper pattern

Based on the sample paper 2026-27 (80 marks).

CBSE additional practice papers for Class 12 Mathematics

Frequently asked questions