The ISC Board has released the latest sample papers for the class 12 students on its official website. Sample papers are an important source provided by the ISC boards for the students to prepare for board examinations. These sample papers help them to practice and score better in upcoming board examinations. In this article we have provided the sample paper for the ISC class 12 Mathematics specimen paper 2025, along with the answer key and direct link to download the sample paper to prepare and practice. Check out the complete article to get complete information.
ISC Board Class 12 Mathematics Sample Paper 2024-25: Instructions to Candidates
- You are allowed an additional 15 minutes for only reading the paper.
- You must NOT start writing during reading time.
- The question paper has 12 printed pages.
- The Question Paper is divided into three sections and has 22 questionsin all.
- Section A is compulsory and has fourteen questions.
- You are required to attempt all questions either from Section B or Section C.
- Section B and Section C have four questions each.
- Internal choices have been provided in two questions of 2 marks, two questions of 4 marks and two questions of 6 marks in Section A.
- Internal choices have been provided in one question of 2 marks and one question of 4 marks each in Section B and Section C.
- While attempting Multiple Choice Questions in Section A, B and C, you are required to write only ONE option as the answer.
- The intended marks for questions or parts of questions are given in the brackets [].
- All workings, including rough work, should be done on the same page as, and adjacent to, the rest of the answer.
- Mathematical tables and graph papers are provided.
ISC Board Class 12 Mathematics Sample Paper 2024-25
SECTION A– 65 MARKS
Question 1
In subparts (i) to (xi) choose the correct options and in subparts (xii) to (xv), answer the questions as instructed.
(i) A matrix which is both symmetric and skew symmetric matrix is a / an:
(a) triangular matrix
(b) identity matrix
(c) diagonal matrix
(d) null matrix
Question 2:
Question 3:
Question 4: Assertion: Degree of the differential equation: a(dy/dx)2 + b dy/dx = c, is 3
Reason: If each term involving derivatives of a differential equation is a polynomial (or can be expressed as polynomial) then highest exponent of the highest order derivative is called the degree of the differential equation. Which of the following is correct?
(a) BothAssertion and Reason are true and Reason isthe correct explanation for Assertion.
(b) BothAssertion and Reason are true but Reason is not the correct explanation for Assertion.
(c) Assertion istrue and Reason isfalse.
(d) Assertion isfalse and Reason istrue.
Question 5: Five numbers x1, x2, x3, x4, x5 are randomly selected from the numbers 1, 2, 3, ……., 18 and are arranged in the increasing order such that x1 < x2 < x3 < x4 < x5. What is the probability that x2 = 7 and x4 = 11?
(a) 26/51
(b) 3/104
(c) 1/68
(d) 1/34
Question 6:
Question 7:
Statement 1: The above graph is continuous at x = 0
Statement 2: The above graph is differentiable at x = 0
Which of the following is correct?
(a) Statement 1 is true, and Statement 2 is false.
(b) Statement 2 is true, and Statement 1 is false.
(c) Both the statements are true.
(d) Both the statements are false.
Question 8: The value of 𝑑𝑦/𝑑𝑥 if 𝑦 = |𝑥 − 1| + |𝑥 − 4| at 𝑥 = 3 is
- −2
- 0
- 2
- 4
Question 9: Statement 1: The intersection of two equivalence relations is always an equivalence relation.
Statement 2: The Union of two equivalence relations is always an equivalence relation.
Which one of the following is correct?
(a) Statement 1implies Statement 2.
(b) Statement 2implies Statement 1.
(c) Statement 1istrueonly if Statement 2istrue.
(d) Statement 1and 2 are independent of each other
Question 10.
Assertion: Matrix ‘A’ isnot invertible.
Reason: Determinant A = 0
Which of the following is correct?
(a) BothAssertion and Reason are true and Reason isthe correct explanation for Assertion.
(b) BothAssertion and Reason are true but Reason is not the correct explanation for Assertion.
(c) Assertion istrue and Reason isfalse.
(d) Assertion isfalse and Reason istrue.
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To view and download all the sections and answer key for ICS Class 12 Mathematics Sample Papers 2025 click on the link below to download the complete sample paper along with the answer key in the same PDF for the Board examination 2025 from the direct link: