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The class 12 maths sample paper 2024-25 has been released by the CBSE (Central Board of Secondary Education) at cbseacademic.nic.in. Along with the sample questions for practice, the board has also provided the solutions to these practice questions so that students can crosscheck their answers and assess their performance. Students who have taken mathematics as a subject in their class 12th can download the official sample paper pdf with solutions here.

## Class 12 Maths Sample Paper 2024-25

The class 12 Maths Sample Paper 2024-25 is the most trusted practice resource for the board exam 2025 preparation. The CBSE class 12 mathematics sample paper 2025 contain questions on the updated syllabus and exam pattern. Also, the marking scheme and number of questions in the official sample paper is same like the actual board exam question paper.

Solving the class 12 maths sample paper will ensure that students get excellent marks in the the board exam. In CBSE class 12, there are two mathematics subject: Mathematics and Applied Mathematics. Students can choose any of the two subjects, however, the mathematics subject is chosen widely and are taught in almost every school.

## CBSE Class 12 Mathematics Sample Paper 2025

The CBSE Sample Paper for Mathematics of Class 12 in PDF format for 2025 can be accessed here along with the marking scheme. The CBSE has published the Class 12 Mathematics Sample Paper 2024-25 on cbseacademic.nic.in, which is the official website of CBSE. Solving CBSE Mathematics sample paper Class 12 2024 will assist students in enhancing their ability to solve Mathematics problems quickly.

## Class 12 Maths Exam Pattern 2024-25 CBSE

It is crucial for students to comprehend the CBSE Class 12 exam pattern in order to achieve high scores in the CBSE 12th Board Exams 2025. As per the Mathematics sample paper for CBSE Class 12 in 2025, the highest score achievable is 80. Students have a total of 180 minutes to finish the CBSE Class 12 Mathematics exam for the year 2024-25. The CBSE 12th Mathematics Board Question Paper for 2025 will consist of five sections A, B, C, D and E. It will contain a total of 38 questions, which all students must answer.

- Section A consists of questions 1 to 18 which are multiple choice questions, while questions 19 and 20 are Assertion-Reason based questions worth 1 mark each.
- Questions 21 to 25 in Section B are Very Short Answer (VSA) questions worth 2 marks each.
- Questions 26 to 31 in Section C are Short Answer (SA)-type questions with a value of 3 marks each.
- Questions 32 to 35 in Section D are of the Long Answer (LA) type and are worth 5 marks each.
- Section E includes Case study-based questions from Question no. 36 to 38, with each question worth 4 marks.
- There is no general options available. Nevertheless, there is an opportunity for an alternative answer in 2 questions in Section B, 3 queries in Section C, 2 queries in Section D, and one subpart each in 2 questions of Section E. The use of calculators is prohibited.

## Class 12 Maths Sample Paper Questions 2024-25

Check some of the sample questions for the CBSE class 12 mathematics subject below.

Q) If |𝑎⃗| = 3, |𝑏⃗⃗| = 4 and |𝑎⃗ + 𝑏⃗⃗| =5, then |𝑎⃗ − 𝑏⃗⃗| =

(A) 3 (B) 4 (C) 5 (D) 8

Q) The value of 𝛼 if the angle between 𝑝⃗ = 2𝛼²𝑖̂− 3𝛼𝑗̂+ 𝑘̂ and 𝑞⃗ = 𝑖̂+ 𝑗̂+ 𝛼𝑘̂ is obtuse, is

(A) 𝑅 − [0, 1] (B) (0, 1) (C) [0, ∞) (D) [1, ∞)

Q) A student observes an open-air Honeybee nest on the branch of a tree, whose plane figure is parabolic

shape given by x² = 4y. Then the area (in sq units) of the region bounded by parabola x² = 4y and the line y = 4 is

(A) 32/3 (B) 64/3 (C) 128/3 (D) 256/3

Q) If vectors 𝑎⃗ = 2ı̂+ 2ȷ̂+ 3k̂, 𝑏⃗⃗ = − ı̂+ 2ȷ̂+ k̂ and 𝑐⃗ = 3ı̂+ ȷ̂are such that 𝑏⃗⃗ + λ𝑐⃗ is perpendicular to 𝑎⃗ , then find the value of λ.

Q) A person standing at O (0, 0, 0) is watching an aeroplane which is at the coordinate point A (4, 0, 3). At the same time he saw a bird at the coordinate point B (0, 0, 1). Find the angles which 𝐵𝐴⃗ makes with the x, y and z axes.

Q) The two co-initial adjacent sides of a parallelogram are 2ı̂− 4ȷ̂− 5k̂ and 2ı̂+ 2ȷ̂+ 3k̂. Find its diagonals and use them to find the area of the parallelogram.

Q) A kite is flying at a height of 3 metres and 5 metres of string is out. If the kite is moving away horizontally at the rate of 200 cm/s, find the rate at which the string is being released

Q) Consider the following Linear Programming Problem:

Minimise Z = x + 2y

Subject to 2x + y ≥ 3, x + 2y ≥ 6, x, y ≥ 0

Show graphically that the minimum of Z occurs at more than two points

Q) The probability that it rains today is 0.4. If it rains today, the probability that it will rain tomorrow is 0.8. If it does not rain today, the probability that it will rain tomorrow is 0.7. If

𝑃1: denotes the probability that it does not rain today.

𝑃2: denotes the probability that it will not rain tomorrow, if it rains today.

𝑃3: denotes the probability that it will rain tomorrow, if it does not rain today.

𝑃4: denotes the probability that it will not rain tomorrow, if it does not rain today.

(i) Find the value of 𝑃1 x 𝑃4 – 𝑃2 x 𝑃3

(ii) Calculate the probability of raining tomorrow.

Q) . Ramesh, the owner of a sweet selling shop, purchased some rectangular card board sheets of dimension 25 by 40 cm to make container packets without top. Let x cm be the length of the side of the square to be cut out from each corner to give that sheet the shape of the container by folding up the flaps.

Based on the above information answer the following questions

(i) Express the volume (V) of each container as function of x only.

(ii) Find dv/dx

(iii) For what value of x, the volume of each container is maximum?

## Maths Sample Paper Class 12 with Solutions 2024-25 PDF Download

Students can download the class 12 mathematics sample paper 2024-25 PDF for the CBSE board along with their solutions and marking scheme here. The sample papers for mathematics and applied mathematics for general and visually impaired students has been provided below for free practice.

**Mathematics**

**Class 12 Maths Sample Paper 2024-25 PDF CBSE **

**Class 12 Maths Sample Paper Solutions and Marking Scheme 2024-25**

**Class 12 Maths Sample Paper 2024-25 PDF for Visually Impaired Students **

**CBSE Class 12 Maths Sample Paper Solutions and Marking Scheme 2024-25 for visually impaired students **

**Applied Mathematics**

**CBSE Class 12 Applied Mathematics Sample Paper 2024-25 PDF**

**CBSE Class 12 Applied Mathematics Sample Paper Solutions and Marking Scheme**

**CBSE Class 12 Applied Mathematics Sample Paper 2024-25 PDF for visually impaired **

**CBSE Class 12 Applied Mathematics Sample Paper Solutions and Marking Scheme for visually impaired **

## Benefits of Class 12 Maths Sample Paper 2024-25

It is strongly advised for Class 12 students to solve CBSE Class 12 Mathematics Sample paper 2024-25 in order to improve their grades. It is recommended that they download the CBSE Mathematics sample paper Class 12 2025 pdf. Below, they can discover the advantages of completing the Mathematics class 12 2025 Sample paper.

- The CBSE Mathematics Class 12 sample paper will aid students in comprehending the kind of questions posed in the CBSE Class 12th Mathematics exam 2025.
- Understand the level of challenge presented by the exam.
- Improve the precision and quickness of answering the questions.
- Understand the marking scheme.
- Identify the areas that require increased focus.
- Understand the exam format of CBSE Class 12.
- Enhance the students’ self-assurance by completing the CBSE Class 12 Mathematics sample paper for the year 2025.