2025-2026 CBSE Class 12 Applied Mathematics Practice Paper, Obtain Sample Paper PDF for Free Download
The Central Board of Secondary Education (CBSE) has released the sample paper for the Class 12 Applied Mathematics exam for the academic year 2025-2026. This paper is designed to help students prepare for their board examinations.
Paper Details
The paper consists of 100 marks in total, with an 80-mark theory paper and an additional 20 marks for internal assessment. The theory exam duration is 3 hours. The paper is divided into five sections, each with a different marks distribution:
- Section A: Multiple Choice Questions (MCQs) - 20 marks
- Section B: Very Short Answer Questions (VSA) - 10 marks
- Section C: Short Answer Questions (SA) - 24 marks
- Section D: Long Answer Questions (LA) - 20 marks
- Section E: Case Study Questions - 6 marks
Topics Covered
The paper covers key topics such as Inverse Trigonometric Functions, Matrices, Determinants, Indefinite Integration, Differential Equations, Probability Distributions, Sampling, Linear Programming, and Financial Mathematics. The exam pattern encourages practical application and problem-solving skills, including real-world scenarios.
Marking Scheme
The marking scheme aligns with the official CBSE sample papers and marking schemes released by the board for the academic session 2025-2026, which remain consistent with the previous year's assessment pattern. Official PDFs of both the sample paper and the marking scheme can be found on the CBSE academic website (cbseacademic.nic.in).
Important Inequalities
- If 13 ≤ k ≤ 21, 9 ≤ p ≤ 19, 2 < m < 6 and k, p, m are integers, then the inequality 21 - k ≥ p - 9 + m is always valid.
Mathematical Statements
- Assertion (A): If a random variable X follows a binomial distribution with parameters n and p, then the mean of X is always less than its variance. Reason (R): Probability of an event lies between 0 and 1 (0 and 1 included).
- Assertion (A): Let A be a 2 x 2 matrix, then adj (adj A) = A. Reason (R): |adj A| = |A|.
Other Information
- The annual payment R will remain the same if the present value of a perpetuity decreases when the interest rate decreases from 6% to 4%.
- The degree of freedom for an independent two-sample t-test for two groups of students, one with 12 students and the other with 10 students, is 19.
- If a fair coin is tossed 6 times, let X be the number of heads obtained. If P(X = k) = P(X = k + 2), then the value of k is not provided in the text.
Availability
The CBSE Class 12 Applied Mathematics Sample Paper 2025-2026 is available for download on the CBSE academic website. Links for NCERT Books, Solutions, and Syllabus for CBSE Class 12 are also available. A download link for the CBSE Class 12 Applied Mathematics Marking Scheme 2025-2026 is not provided.
The present value of a perpetuity of ₹ 500 payable at the end of each quarter, at what rate of interest will be ₹ 40,000? and the determinant of the matrix 4A 2 B is not provided in the text.
No overall choice is provided, but some questions have an internal choice. Section A contains 18 MCQs and two assertion and reason type questions worth 1 mark each. Section B contains 5 VSA questions worth 2 marks each. Section C contains 6 SA questions worth 3 marks each. Section D contains 4 LA questions worth 5 marks each. Section E contains 3 Case Study-based questions worth 4 marks each.
[1]: CBSE Class 12 Applied Mathematics Sample Paper 2025-2026 [2]: CBSE Class 12 Applied Mathematics Marking Scheme 2025-2026 [5]: CBSE Class 12 Applied Mathematics Solutions 2025-2026
Engaging in education-and-self-development by preparing for the CBSE Class 12 Applied Mathematics exam, students should focus on learning topics like Inverse Trigonometric Functions, Matrices, Probability Distributions, and Financial Mathematics. Various types of questions, such as MCQs, VSA, SA, LA, and Case Study Questions, may be asked in the upcoming examination, emphasizing practical application and problem-solving skills.
