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Mathematics is one of the subjects that requires extensive practice to master it. What can be better than the sample papers released by official sources. Our Mathematics expert at Add247 have compiled the expected sample paper for Mathematics subject that is based on the official syllabus and latest exam pattern. The CBSE releases the official sample papers for all subjects including mathematics in late 2024. We will provide students with the official sample paper too once it becomes available. Until then, students can check the class 12 maths paper 2025 pdf below in the article.

## CBSE Class 12 Maths Sample Paper 2025

The CBSE maths sample paper contains questions from both the MCQs and subjective type just like the actual board paper. Along with the questions, our experts have also provided detailed solutions of all the questions so that students can get to know about how to approach difficult problems. The sample paper contains a total of 38 questions that amounts to 80 marks in total. Practicing the sample paper is very important to score excellent marks in the upcoming class 12 board exam in 2025.

## Maths Sample Paper Class 12 2025 with Solutions PDF Download

You can download Maths Sample Paper Class 12 2025 with Solutions PDF and marking scheme by using the direct pdf download link given below in the article. Students must practice this CBSE Mathematics Sample Paper Class 12 2025 with Solutions to fill the gap in concept learning. The class 12 Mathematics sample paper 2024-25 with solutions would be extremely beneficial in practicing for the revised exam format.

## CBSE Class 12 Maths Sample Paper 2024-25 Pattern

CBSE Class 12 Maths Sample Paper 2024-25 follows the pattern identical to the real CBSE Class 12 Maths Paper. Check the exam pattern of CBSE class 12 Maths subject below.

- The CBSE Maths sample paper class 12 2025 has a value of 80 marks. Candidates are given three hours to complete the Question paper.
- This Question paper contains – five sections A, B, C, D, and E. Each section is compulsory. However, there are internal choices in some questions.
- Section A has 18 MCQs and 02 Assertion-Reason-based questions of 1 mark each.
- Section B has 5 Very Short Answer (VSA)-type questions of 2 marks each.
- Section C has 6 Short Answer (SA)-type questions of 3 marks each.
- Section D has 4 Long Answer (LA)-type questions of 5 marks each.
- Section E has 3 source-based/case-based/passage-based/integrated units of assessment of 4 marks each with sub-parts

## CBSE Class 12 Maths Sample Paper 2025 PDF Download Important Questions

Checkout the important sample questions from the CBSE 12th Maths sample question paper 2025 below.

Q) A box contains 15 green and 10 yellow balls. If 10 balls are randomly drawn one-by-one with replacement, then what is the variance of the number of green balls drawn .

Q) A is targeting to B, B and C are targeting to A. Probability of hitting the target by A, B and C are 2/3 ,1/2 and 1/3 respectively. If A is hit, then find the probability that B hits the target and C does not hit.

Q) Solve the following linear programming problem (L.P.P) graphically:

Maximize Z = 3x + y

Subject to constraints; x + 2y ≥ 100 , 2x – y ≤ 0 , 2x + y ≤ 200 ,x ,y ≥ 0

Q) In a play zone, Aastha is playing crane game. It has 12 blue balls, 8 red balls, 10 yellow balls and 5 green balls. If Aastha draws two balls one after the other without replacement, then answer the following questions.

(i)What is the probability that the first ball is blue and the second ball is green?

(ii) What is the probability that the first ball is yellow and the second ball is red?

(iii) What is the probability that both the balls are red?

Q) It is known that, if the interest is compounded continuously, the principal changes at the rate equal to the product of the rate of bank interest per annum and the principal. Let P denotes the principal at any time t and rate of interest be r % per annum.

Based on the above information, answer the following questions.

(i) Find the value of dP/dt

(ii) If P0 be the initial principal, then find the solution of differential equation formed in given situation

(iii) If the interest is compounded continuously at 5% per annum, in how many years will Rs.100 double itself?

Q) In a city there are two factories A and B. Each factory produces sports clothes for boys and girls. There are three types of clothes produced in both the factories, type I, II and III. For boys the number of units of types I, II and III respectively are 80, 70 and 65 in factory A and 85, 65 and 72 are in factory B. For girls the number of units of types I, II and III respectively are 80, 75, 90 in factory A and 50, 55, 80 are in factory B.

Based on the above information, answer the following questions.

(i) If P represents the matrix of number of units of each type produced by factory A for both boys and girls, then P is given by

(ii) If Q represents the matrix of number of units of each type produced by factory B for both boys and girls, then Q is given by

(iii) The total- production of sports clothes of each type for boys is given by the matrix

Q) Find the inverse of matrix A = [2 4 -1 3] by the use of adjoint of matrix A.

Q) Find the maximum number of equivalence relations on the set A = {1, 2, 3}.

Q) If A= [1 4 2 -3] , then A²+A is equal to

(a) [10 4 2 14]

(b) [10 -4 -2 14]

(c) [10 4 -2 14]

(d) [10 -4 2 14]

Q) If f:R→R defined by fx=3x-5 , then f(x) is

(a)is one – one but not onto

(b) onto but not one – one

(c) One – one and onto

(d) Neither one – one nor onto

## Maths Sample Paper Class 12 with Solutions 2025 PDF Download

Students who are in their class 12th and are going to appear for the CBSE 12th Mathematics exam in 2025 can download the CBSE 12th Maths sample paper 2025 with solutions PDF below.

**Maths Sample Paper Class 12 2025 PDF Download with Solutions**