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ISC class 12. Mathematics question paper and reply key 2025: The ISC class 12 mathematics test was carried out on March 3, 2025 with the help of the Council for the Indian school certificate tests (CISCE). This exam plays an important role on the students' academic journey and tests their understanding of mathematical concepts.

ISC class 12 Maths 2025 examination overview

Exam date: [3rd March, 2025]

Subject code: [227]

Exam duration: 3 hours

Maximum markings: 70

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ISC class 12. Mathematics examination pattern 2025

Here is a tabular format that shows the types of questions for the mathematics test of ISC class 12 and its weight in the percentage:

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ISC class 12 mathematics response key 2025

The students have to wait excitedly to check their answers after the exam. Well, here we state the reply key. The students can check their answers and also calculate their estimated score.

Section A

Question 1
Answer the right options in sub -sections (i) to (XI) and answer the dependent questions in a sub -section (XII) to (XV).

(I)

(a) unit matrix

(b) zero matrix

(c) Diagonal matrix

(d) Walking matrix

Answer: (b) null matrix

(II) Which of the following statements is a homogeneous differential equation?

(a) (4x²+6y+5) DY – (3Y²+2x+4) DX = 0

(B) (XY) DX – (X³+Y³)) Dy = 0

(c) (x³+2Y²) DX+2xydy = 0

(d) y²DX+(x²−xy -y²)) Dy = 0

Answer: (d) y²DX+(x²−xy -y²)) Dy = 0

(iii) Consider the graphic of the function f (x) shown below:

Statement 1: The function f (x) adds (1/2.2)
Statement 2: The function f (x) Takes strictly (1/2.1)

Which of the following statements is correct in relation to the above statements?

(a) statement 1 is true and statement 2 is wrong.

(b) statement 2 is true and statement 1 is wrong.

(c) Both statements are true.

(d) Both statements are wrong.

Answer: (c) Both statements are true.

(IV)

is the same:

(a) 2/3

(b) 1/3

(c) -2/3

(D) 0

Answer: (c) –2/3

(V) Statement: Consider the two events A and B so that n (a) = n (b) and P (A/B) = P (B/A).

Reason: Events A and B are mutually exclusive.

Options:

(a) Both the claim and reason are true, and the reason is the right explanation for the claim.

(b) Both the claim and reason are true, but reason is not the right explanation for the claim.

(c) claim is true and reason is wrong.

(d) The claim is wrong and reason is true.

Answer: (d) The claim is wrong and reason is true.

(VI)

Answer: (d) 𝑘 only

(VII) A cylindrical popcorn tub with a radius 10 cm is filled with popcorn with 314 cm³ per minute. The popcorn in the tub takes the speed of:

(a) 1 cm/minute
(b) 0.1 cm/minute
(c) 1.1 cm/minute
(d) 0.5 cm/minute

Correct answer: (a) 1 cm/minute

(VIII)

Correct answer: (c) 2

(ix) claim: If set has on the elements, set B n elements and $B$

Reason: a function F: A → B is only defined if all elements in Set A have a picture in Set B

(a) Both the claim and reason are true, and the reason is the right explanation for the claim.
(b) Both the claim and reason are true, but reason is not the right explanation for the claim.
(c) claim is true and reason is wrong.
(d) The claim is wrong and reason is true.

Correct answer: (b) Both the claim and reason are true, but reason is not the right explanation for the claim.

(x) leave $X$ be a discrete random variable. The probability distribution of $X$ is given below:

Then EX) will be:

(a) 1
(b) 4
(c) 30
(D) 0

Correct answer: (b) 4

(XI) Instruction 1: If 'a' is an invertable matrix, then an invertable matrix is ​​then (A³)))^-1= (A^-1)))³

Statement 2: If 'a' is an invertable matrix, then is then ∣a^-1∣ = ∣a^-1

(a) statement 1 is true and statement 2 is wrong.
(b) statement 2 is true and statement 1 is wrong.
(c) Both statements are true.
(d) Both statements are wrong.

Correct answer: (c) Both statements are true.

(XII) Write the smallest equivalence relationship from sentence A to A, where a = {1, 2, 3}.

Correct answer: The smallest equivalence relationship is the reflexive relationship: R = {(1,1), (2,2), (3.3)}

(XIII)

$$A$$

(XIV) Three critics check a book. The chances for the book are 5: 2, 4: 3 and 3: 4 for the three critics. Find the likelihood that all critics deal for the book.

Correct answer: The probability that all three critics prefer the book is:

5/7x 4/7×3/7 = 60/343

(XV) Evaluate:

We update the answers to the remaining questions. Visit this page to get the full solution of the paper.

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