CBSE Class 12 Maths Term-1 Question Paper 2021 with Solution

About this paper

This is the CBSE Class 12 Mathematics Term-I question paper from the 2021–22 session, Series SSJ/1, Set 4, code 065/1/4. It is an OMR-based paper of 50 multiple-choice questions, of which 40 are to be attempted, for 40 marks in 90 minutes, with 20 minutes of extra reading time. Section A has 20 questions (attempt any 16), Section B has 20 (attempt any 16) and Section C has 10 (attempt any 8). There is no negative marking. Section C ends with a five-question case study on casting metal into solid half cylinders and minimising their surface area. The questions cover relations and functions, inverse trigonometry, matrices and determinants, calculus and linear programming. This copy has the questions only, without solutions.

Exam

CBSE Class 12

Subject

Mathematics

Year

2021

Paper code

065/1/4

Maximum marks

40

Time allowed

90 minutes + 20 min reading

Questions

50

Pages

8

Answers included

No, questions only

Paper pattern

• Section A

  16 marks

  Questions 1–20, multiple-choice; attempt any 16, one mark each

• Section B

  16 marks

  Questions 21–40, multiple-choice; attempt any 16, one mark each

• Section C

  8 marks

  Questions 41–50, multiple-choice including a five-question case study; attempt any 8, one mark each

Topics covered

• Relations and functions
• Inverse trigonometric functions
• Matrices
• Determinants
• Continuity and differentiability
• Applications of derivatives
• Linear programming

Questions from this paper

1. Find the number of one-one functions that can be defined from {1, 2, 3, 4, 5} to {a, b}.
2. If the corner points of the feasible region of an LPP are (0, 3), (3, 2) and (0, 5), find the minimum value of Z = 11x + 7y.
3. A wire of length 20 cm is bent in the form of a sector of a circle. What is the maximum area that can be enclosed by the wire?
4. At which points does the curve x² − xy + y² = 27 have tangents parallel to the x-axis?
5. If the minimum value of an objective function Z = ax + by occurs at the two points (3, 4) and (4, 3), what relation holds between a and b?
6. For a solid half cylinder of given volume V with a rectangular base and semicircular ends, find the ratio h : 2r for which its total surface area is minimum.