CBSE board examination · 2024-25
CBSE Board Examination 2025
The CBSE Class XII Mathematics (041) board examination of 2025, question paper code 65/1/1 (Set 1). Every question below has a full-marks exam answer, checked against the official CBSE marking scheme for this set.
- 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
- Q1Inverse of 1 mark · Ch 3
- Q2Which is true for and ?1 mark · Ch 10
- Q3Value of 1 mark · Ch 7
- Q4Which function of and is not homogeneous?1 mark · Ch 9
- Q5Is continuous and differentiable at and ?1 mark · Ch 5
- Q6 when , order 21 mark · Ch 4
- Q7 for independent events E and F1 mark · Ch 13
- Q8Absolute maximum of on 1 mark · Ch 6
- Q9Which of AB, AC, BA is defined?1 mark · Ch 3
- Q10Find k if 1 mark · Ch 7
- Q11Angle between and when 1 mark · Ch 10
- Q12Integrating factor of 1 mark · Ch 9
- Q13 when a matrix is scalar1 mark · Ch 3
- Q14Maximum and minimum of at given corner points1 mark · Ch 12
- Q15Which property of invertible matrices is not correct?1 mark · Ch 4
- Q16Bounded feasible region: does Z have a maximum and a minimum?1 mark · Ch 12
- Q17Area bounded by , and the x-axis1 mark · Ch 8
- Q18Graph of the inverse of the cosine graph1 mark · Ch 2
- Q19Is a bijection from Z to Z?1 mark · Ch 1
- Q20Value of k for continuity at 1 mark · Ch 5
Section B
Q21 to Q25: very short answer (VSA), 2 marks each
Section C
Q26 to Q31: short answer (SA), 3 marks each
- Q26Rate of increase of the area of an equilateral triangle of side 15 cm3 marks · Ch 6
- Q27Maximise graphically: an unbounded region3 marks · Ch 12
- Q28, or 3 marks · Ch 7
- Q29Skew lines and their shortest distance, or the ratio in which the wicketkeeper divides bowler to fielder3 marks · Ch 11
- Q30Absent students: and the mean, or the probability of a distinction3 marks · Ch 13
- Q31Sketch and find the area between and 3 marks · Ch 8
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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