CBSE sample question paper · 2025-26
CBSE Sample Paper 2025-26
The official CBSE Sample Question Paper for Class XII Mathematics (041), session 2025-26, 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
- Q2Orders when and are square1 mark · Ch 3
- Q3Value of for a skew-symmetric matrix1 mark · Ch 3
- Q4 when , order 41 mark · Ch 4
- Q5Inverse of the diagonal matrix 1 mark · Ch 4
- Q6Determinant of , , , 1 mark · Ch 4
- Q7 for continuity of and at 1 mark · Ch 5
- Q8 for 1 mark · Ch 5
- Q9Interval where is increasing1 mark · Ch 6
- Q10Solution family of 1 mark · Ch 9
- Q11 when 1 mark · Ch 7
- Q12 in 1 mark · Ch 7
- Q13Projected length of a bird's flight on a metro track1 mark · Ch 10
- Q14Distance of from the y-axis1 mark · Ch 11
- Q151 mark · Ch 10
- Q16Missing constraint from the graph of an LPP1 mark · Ch 12
- Q17Another minimum point of an LPP, given one at 1 mark · Ch 12
- Q18Guessing a 6-digit PIN when the first 4 digits are known1 mark · Ch 13
- Q19 and principal branches1 mark · Ch 2
- Q20 and perpendicular to 1 mark · Ch 10
Section B
Q21 to Q25: very short answer (VSA), 2 marks each
Section C
Q26 to Q31: short answer (SA), 3 marks each
- Q26: prove , or for the cycloid3 marks · Ch 5
- Q27A melting ball of ice: the radius decreases at a constant rate3 marks · Ch 6
- Q28 on the graph, or the area between and 3 marks · Ch 8
- Q29Distance from to a line parallel to the z-axis, or a point of intersection and its distance from the z-axis3 marks · Ch 11
- Q30Maximise graphically3 marks · Ch 12
- Q31Mehul and Rashi: chance of Rashi's selection and of at least one3 marks · Ch 13
Section D
Q32 to Q35: long answer (LA), 5 marks each
Section E
Q36 to Q38: case study based, 4 marks each
Want an email when new papers are added?
Leave your email and we will write when a new chapter or a new set of worked solutions is ready. That is all we use it for, and you can ask to be taken off the list at any time.
You are on the list. We will email you when new chapters are added, and for nothing else.