CBSE sample question paper · 2026-27
CBSE Sample Paper 2026-27
The official CBSE Sample Question Paper for Class XII Mathematics (041), session 2026-27, which shows the pattern of the board examination. Every question below has a full-marks exam answer, checked against CBSE's own marking scheme for this paper.
- 80 marks
- 3 hours
- 38 questions
- Internal choice in some questions
- No calculators
Paper format
| Section | Questions | Type | Marks |
|---|---|---|---|
| Section A | Q1 to Q20 | MCQs and assertion-reason | 20 × 1 = 20 |
| Section B | Q21 to Q25 | very short answer (VSA) | 5 × 2 = 10 |
| Section C | Q26 to Q31 | short answer (SA) | 6 × 3 = 18 |
| Section D | Q32 to Q35 | long answer (LA) | 4 × 5 = 20 |
| Section E | Q36 to Q38 | case study based | 3 × 4 = 12 |
| Total | 38 questions | 80 |
Section A
Q1 to Q20: MCQs and assertion-reason, 1 mark each
- Q1Identify the function from its graph, 1 mark · Ch 2
- Q2Domain of 1 mark · Ch 2
- Q3Value of 1 mark · Ch 2
- Q4Symmetric matrix: value of 1 mark · Ch 3
- Q5 for matrices and 1 mark · Ch 4
- Q6Find when a product of three matrices is 1 mark · Ch 3
- Q7Derivative of with respect to 1 mark · Ch 5
- Q8Triplet that makes a piecewise function differentiable at 1 mark · Ch 5
- Q9Interval where decreases1 mark · Ch 6
- Q10Where the derivative of exceeds 1 mark · Ch 6
- Q11Degree and order of 1 mark · Ch 9
- Q12Find in 1 mark · Ch 7
- Q13Value of when has magnitude 41 mark · Ch 10
- Q14Angle of with the positive z-axis1 mark · Ch 10
- Q15A vector perpendicular to and 1 mark · Ch 10
- Q16Probability that it rains on three consecutive days1 mark · Ch 13
- Q17At least one 4, given the sum on two dice is a multiple of 51 mark · Ch 13
- Q18Find when exactly one of two independent events has probability 1 mark · Ch 13
- Q19 and the even-function property1 mark · Ch 7
- Q20The general solution as a family of curves1 mark · Ch 9
Section B
Q21 to Q25: very short answer (VSA), 2 marks each
Section C
Q26 to Q31: short answer (SA), 3 marks each
- Q26Find and and the inverse of the product, if it exists3 marks · Ch 3
- Q27Rate at which a surveillance drone rises3 marks · Ch 6
- Q28 for , ; or for 3 marks · Ch 5
- Q29Particular solution of , or of 3 marks · Ch 9
- Q30Foot of the perpendicular from to a line; or the angle between two lines and a common perpendicular3 marks · Ch 11
- Q31Maximise graphically3 marks · Ch 12
Section D
Q32 to Q35: long answer (LA), 5 marks each
Section E
Q36 to Q38: case study based, 4 marks each
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