CBSE sample question paper · 2024-25
CBSE Sample Paper 2024-25
The official CBSE Sample Question Paper for Class XII Mathematics (041), session 2024-25, 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
- Q1 when 1 mark · Ch 4
- Q2Restrictions on so that is defined1 mark · Ch 3
- Q3Where is strictly increasing1 mark · Ch 6
- Q4 when 1 mark · Ch 4
- Q5 for which is homogeneous1 mark · Ch 9
- Q6 when , , are collinear1 mark · Ch 4
- Q7 for a skew-symmetric matrix1 mark · Ch 3
- Q8 from , and 1 mark · Ch 13
- Q9 for an obtuse angle between and 1 mark · Ch 10
- Q10 when , , 1 mark · Ch 10
- Q11Where is maximum on a bounded feasible region1 mark · Ch 12
- Q121 mark · Ch 7
- Q131 mark · Ch 7
- Q14General solution of 1 mark · Ch 9
- Q15Identify the graph of 1 mark · Ch 2
- Q16Does the minimum at exist on an unbounded region?1 mark · Ch 12
- Q17The greatest integer function at 1 mark · Ch 5
- Q18Area bounded by and the line 1 mark · Ch 8
- Q19Where is not differentiable1 mark · Ch 5
- Q20Is one-one on its domain?1 mark · Ch 1
Section B
Q21 to Q25: very short answer (VSA), 2 marks each
Section C
Q26 to Q31: short answer (SA), 3 marks each
- Q26Rate at which a kite string is being released3 marks · Ch 6
- Q27Rate of increase of decreases with age3 marks · Ch 6
- Q28Angle between and and the projection, or the line perpendicular to two given lines3 marks · Ch 10
- Q29, or 3 marks · Ch 7
- Q30Minimum of occurs at more than two points3 marks · Ch 12
- Q31Rain today and tomorrow, or when 3 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
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