Board Central Board of Secondary Education [CBSE] Class 12th / XII Download Previous Year Sample Question Papers Subject Mathematics / Maths Document Type PDF Official Website http://cbseacademic.nic.in/

## CBSE Class XII Maths Sample Question Paper

Central Board of Secondary Education [CBSE] Class 12th Mathematics Sample Question Papers

## Class 12th Maths Sample Questions

Part-A:
Section I:
1. A relation R in S = {1,2,3} is defined as R = {(1, 1), (1, 2), (2, 2), (3, 3)}. Which element(s) of relation R be removed to make R an equivalence relation?

2. If A and B are matrices of order 3 × n and m × 5 respectively, then find the order of matrix 5A – 3B, given that it is defined.

3. Find the direction cosines of the normal to YZ plane?

4. The probabilities of A and B solving a problem independently are 1/3 and 1/4 respectively. If both of them try to solve the problem independently, what is the probability that the problem is solved?

5. The probability that it will rain on any particular day is 50%. Find the probability that it rains only on first 4 days of the week.

Section II:
1. The CEO of the multi-national company is interested in maximizing the area of the whole floor including the semi-circular ends. For this to happen the valve of x should be
a) 0 m
b) 30 m
c) 50 m
d) 80 m

2. The conditional probability that an error is committed in processing given that Sonia processed the form is :
a) 0.0210
b) 0.04
c) 0.47
d) 0.06

3. The probability that Sonia processed the form and committed an error is :
a) 0.005
b) 0.006
c) 0.008
d) 0.68

4. The total probability of committing an error in processing the form is
a) 0
b) 0.047
c) 0.234
d) 1

5. The manager of the company wants to do a quality check. During inspection he selects a form at random from the days output of processed forms. If the form selected at random has an error, the probability that the form is NOT processed by Vinay is :
a) 1
b) 30/47
c) 20/47
d) 17/47

General Instructions:
1. This question paper contains two parts A and B. Each part is compulsory. Part A carries 24 marks and Part B carries 56 marks
2. Part-A has Objective Type Questions and Part -B has Descriptive Type Questions
3. Both Part A and Part B have choices.

Part – A:
1. It consists of two sections- I and II.
2. Section I comprises of 16 very short answer type questions.
3. Section II contains 2 case studies. Each case study comprises of 5 case-based MCQs. An examinee is to attempt any 4 out of 5 MCQs.

Part – B:
1. It consists of three sections- III, IV and V.
2. Section III comprises of 10 questions of 2 marks each.
3. Section IV comprises of 7 questions of 3 marks each.
4. Section V comprises of 3 questions of 5 marks each.
5. Internal choice is provided in 3 questions of Section –III, 2 questions of SectionIV and 3 questions of Section-V. You have to attempt only one of the alternatives in all such questions.

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