CBSE Sample Paper 2020-21
The official CBSE Sample Question Paper for Class XII Mathematics (041), session 2020-21. It used an older pattern with an objective Part A (short questions and two case studies of MCQs) and a descriptive Part B, and some questions test topics that have since left the syllabus. 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
Paper format
| Section | Questions | Type | Marks |
|---|---|---|---|
| Part A: Section I | Q1 to Q16 | very short answer type | 16 × 1 = 16 |
| Part A: Section II | Q17 to Q18 | case studies, each with 5 case-based MCQs of 1 mark; attempt any 4 (4 marks each) | 2 × 4 = 8 |
| Part B: Section III | Q19 to Q28 | 10 × 2 = 20 | |
| Part B: Section IV | Q29 to Q35 | 7 × 3 = 21 | |
| Part B: Section V | Q36 to Q38 | 3 × 5 = 15 | |
| Total | 38 questions | 80 |
Part A: Section I
Q1 to Q16: very short answer type, 1 mark each
- Q1Is one-one? Or: the number of reflexive relations on a 3-element set1 mark · Ch 1
- Q2Which pair to remove from to make it an equivalence relation1 mark · Ch 1
- Q3Is a function? Or: union and intersection of equivalence classes1 mark · Ch 1
- Q4Order of for and 1 mark · Ch 3
- Q5 for (), (). Or: when 1 mark · Ch 3
- Q6Value of 1 mark · Ch 4
- Q7. Or: 1 mark · Ch 7
- Q8Area bounded by , the x-axis, and 1 mark · Ch 8
- Q9Arbitrary constants in a particular solution. Or: for a homogeneous equation1 mark · Ch 9
- Q10Unit vector opposite to 1 mark · Ch 10
- Q11Area of the triangle with sides and 1 mark · Ch 10
- Q12Angle between unit vectors , when 1 mark · Ch 10
- Q13Direction cosines of the normal to the YZ plane1 mark · Ch 11
- Q14Where the line cuts the XY plane1 mark · Ch 11
- Q15Probability that a problem is solved when A and B try it independently1 mark · Ch 13
- Q16Probability that it rains only on the first 4 days of the week1 mark · Ch 13
Part A: Section II
Q17 and Q18: case studies, each with 5 case-based MCQs of 1 mark; attempt any 4 (4 marks each)
Part B: Section III
Q19 to Q28: 2 marks each
- Q19Simplest form of , 2 marks · Ch 2
- Q20 when . Or: show and find 2 marks · Ch 4
- Q21Values of that make continuous at 2 marks · Ch 5
- Q22Normal to perpendicular to 2 marks · Ch 6
- Q23, or 2 marks · Ch 7
- Q24Area bounded by and the line 2 marks · Ch 8
- Q25Solve , given 2 marks · Ch 9
- Q26Parallelogram with side and diagonal : its area2 marks · Ch 10
- Q27Plane through containing the line 2 marks · Ch 11
- Q28Distribution of the number of milk chocolates drawn, or 2 marks · Ch 13
Part B: Section IV
Q29 to Q35: 3 marks each
- Q29 divisible by 2 on : reflexive, symmetric, transitive, and 3 marks · Ch 1
- Q30 for 3 marks · Ch 5
- Q31 is not differentiable at , or for , 3 marks · Ch 5
- Q32Where increases and decreases on 3 marks · Ch 6
- Q333 marks · Ch 7
- Q34Area between , and the x-axis, or the area of 3 marks · Ch 8
- Q35General solution of 3 marks · Ch 9
Part B: Section V
Q36 to Q38: 5 marks each
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