Free · CBSE Class 12

CBSE Class 12 Maths Previous Year Question Papers with Solutions (2020-2025)

Free CBSE Class 12 Maths papers from 2020 to 2025 with step-by-step solutions, the 38-question pattern, unit-wise marks and where marks are lost.

Updated 9 Oct 2026

CBSE Class 12 test series· checked in 48 hours · from ₹299See plans

CBSE Class 12 test series

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Download CBSE Class 12 Mathematics board papers from 2020, 2022, 2023, 2024 and 2025, three sets for each year, with step-by-step solutions, from the table below. There was no 2021 board paper, because CBSE cancelled the Class 12 exams that year.

Maths is the subject where past papers pay back fastest. Calculus alone carries 35 of the 80 marks, and the question types inside it barely change from year to year. Five years of papers will show you every kind of integral, application of derivatives and differential equation CBSE likes to ask.

CBSE Class 12 Maths paper pattern (2026-27)

  • Theory: 80 marks, 3 hours. Internal assessment adds 20 marks.
  • 38 questions in five sections: 18 MCQs and 2 assertion-reason questions of 1 mark each, 5 two-mark questions, 6 three-mark questions, 4 five-mark questions and 3 four-mark case-study questions.
  • Internal choices in some questions, no overall choice.

Unit-wise marks

  • Relations and Functions: 8
  • Algebra (Matrices and Determinants): 10
  • Calculus: 35
  • Vectors and Three-Dimensional Geometry: 14
  • Linear Programming: 5
  • Probability: 8

If time is short, Calculus and Vectors with 3D Geometry together make up 49 marks, more than half the paper.

How to practise with these papers

  • Do 2025 and 2024 first; they match the current 38-question pattern.
  • Use 2022 only for extra questions, since that exam was term-wise.
  • Write each paper in three hours without a calculator or notes, as in the exam.
  • Mark every question step by step against the solutions. In CBSE Maths, the method carries most of the marks, not the final answer.
  • Note every question where you got stuck on the first step. That list is your revision plan for the next week.

Where students lose marks in Maths

  • Skipping steps in integration and differentiation, so an arithmetic slip costs the whole answer instead of one mark.
  • Forgetting the constant of integration, or the conditions in a definite integral.
  • Linear programming graphs without the feasible region shaded or corner points checked.
  • Probability answers with no statement of the events, which makes partial marks impossible to award.
  • Case-study questions rushed at the end, even though each part is short and scoring.

Gradehunt's CBSE Class 12 Maths test series checks every step of your working, the way a board examiner would, so you know which habits are costing you marks.

Past papers for other Class 12 subjects

We also have solved past papers for Physics, Chemistry and Biology.

Free · CBSE Class 12

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Updates to this page

  • 9 October 2026: rewritten for 2026-27 with the paper pattern and unit-wise marks.

Finished reading? Now test yourself.

Chapter-wise tests in the latest board pattern, checked with remarks. Plans from ₹299/subject.

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Frequently Asked Questions

Q1.Where can I download CBSE Class 12 Maths previous year papers?

Ans.

From the table on this page: papers and solutions for 2020, 2022, 2023, 2024 and 2025, free to download.

Q2.How many marks is CBSE Class 12 Maths?

Ans.

The theory paper is 80 marks and runs for 3 hours. Internal assessment adds 20 marks.

Q3.Which unit has the most marks in Class 12 Maths?

Ans.

Calculus, with 35 of the 80 theory marks. Vectors and Three-Dimensional Geometry come next with 14.

Q4.How many questions are in the CBSE Class 12 Maths paper?

Ans.

38 questions: 20 one-mark questions (18 MCQs and 2 assertion-reason), 5 two-mark, 6 three-mark, 4 five-mark and 3 four-mark case-study questions.

Q5.Why is there no 2021 Class 12 Maths paper?

Ans.

CBSE cancelled the Class 12 board exams in 2021, so there is no board paper for that year.