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CBSE Class 12 · India · Predicted papers

CBSE Class 12 Mathematics041

1 paper80 marks3 h

What we predict comes up

From the syllabus weighting and how the papers are usually set. The papers below follow it.

  1. Continuity, Differentiability and Applications of Derivatives21%Calculus is 35 of 80 marks; in the 2025-26 sample paper about 17 of them go to continuity, differentiation and applications of derivatives, including a case study.
  2. Vectors and Three-Dimensional Geometry18%Unit IV is 14 of 80 marks: vector products, projection and area, and lines in space with shortest distance and the foot of a perpendicular.
  3. Integrals and their Applications15%About 12 of the 35 calculus marks: indefinite and definite integrals, their properties and the area under a standard curve, usually with a 5-mark integral.
  4. Matrices and Determinants13%Unit II (matrices and determinants) is 10 of 80 marks: about five 1-mark MCQs and a 5-mark inverse and system of equations question in the sample paper.

Theory Paper

3 h · 80 marks · No calculator

180:00
  • This question paper contains 38 questions. All questions are compulsory.
  • This question paper is divided into five Sections: A, B, C, D and E.
  • In Section A, Questions 1 to 18 are multiple choice questions (MCQs) and Questions 19 and 20 are Assertion-Reason based questions, of 1 mark each.
  • In Section B, Questions 21 to 25 are Very Short Answer (VSA) type questions of 2 marks each.
  • In Section C, Questions 26 to 31 are Short Answer (SA) type questions of 3 marks each.
  • In Section D, Questions 32 to 35 are Long Answer (LA) type questions of 5 marks each.
  • In Section E, Questions 36 to 38 are case study based questions of 4 marks each.
  • The board paper gives an internal choice in some questions; this practice paper prints one version of each.
  • Use of a calculator is not allowed.

Answer or mark a question and your score adds up here.

38 questions

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Not included: The 20 marks of internal assessment are not part of this paper, and where the real paper offers an internal choice only one version of the question is printed here.

CBSE Class 12 Mathematics study checklist

Revise in this order: the topics worth the most marks first. Tick a topic off when you can answer its questions in the paper above without notes.

  1. Continuity, Differentiability and Applications of Derivatives · about 21% of the marksCalculus is 35 of 80 marks; in the 2025-26 sample paper about 17 of them go to continuity, differentiation and applications of derivatives, including a case study.
  2. Vectors and Three-Dimensional Geometry · about 18% of the marksUnit IV is 14 of 80 marks: vector products, projection and area, and lines in space with shortest distance and the foot of a perpendicular.
  3. Integrals and their Applications · about 15% of the marksAbout 12 of the 35 calculus marks: indefinite and definite integrals, their properties and the area under a standard curve, usually with a 5-mark integral.
  4. Matrices and Determinants · about 13% of the marksUnit II (matrices and determinants) is 10 of 80 marks: about five 1-mark MCQs and a 5-mark inverse and system of equations question in the sample paper.
  5. Relations and Functions · about 10% of the marksUnit I (relations, functions, inverse trigonometric functions) is 8 of 80 marks in CBSE's 2025-26 curriculum for 041.
  6. Probability · about 10% of the marksUnit VI is 8 of 80 marks: conditional probability, independence, total probability and Bayes' theorem, often as a case study.
  7. Differential Equations · about 7% of the marksAbout 6 of the 35 calculus marks: order and degree in an MCQ and a 5-mark linear or homogeneous equation.
  8. Linear Programming · about 6% of the marksUnit V is 5 of 80 marks: two MCQs on corner points and a 3-mark graphical problem.

Questions

What topics come up most in CBSE Class 12 Mathematics?

Our prediction: Continuity, Differentiability and Applications of Derivatives (about 21% of the marks), Vectors and Three-Dimensional Geometry (about 18% of the marks), Integrals and their Applications (about 15% of the marks). The full list with the reason for each is at the top of this page.

When is the CBSE Class 12 Mathematics exam?

CBSE Class 12 is sat February to April. Central Board of Secondary Education publishes the exact timetable for each sitting; check it for your paper's date.

How many papers are there, and how long are they?

One paper: Theory Paper (3 hours, 80 marks). That is 3 hours and 80 marks in all.

Can I use a calculator?

In this format a calculator is not allowed. Check your board's current rules before the exam.

Are these the real CBSE Class 12 Mathematics papers?

No. They are predicted papers written by us in the real format, with original questions, not copies of past papers. Use them alongside the official past papers and specimen papers from Central Board of Secondary Education.

Is it free?

Yes. The outline, the predictions and the first questions are open to everyone; every paper, the answers and the mark scheme are free with a Knomi account.

More CBSE Class 12 subjects

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