ISC Class 12 Math Exam 2026 Repeated Questions

ISC Class 12 Math Exam 2026 Repeated Questions gives students an idea about the important questions from different topics. Practice these questions well by solving these numericals to improve your performance in board exams.

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ISC Class 12 Math Exam 2026 Repeated Questions

ISC Class 12 Math Exam 2026 Repeated Questions will help you to make a note of the important topics from where the questions are asked in the final paper. You can focus more on such topics; however, based on the ISC Class 12 Math Weightage 2026 , you can first focus on Calculus (32 marks) and Probability (13 marks), as they together account for over 50% of the paper. After that, you can master the basics of Algebra and Relations & Functions early to reduce stress during revision. The theory paper of Math will be of 80 marks, and the remaining 20 marks will be based on the project work. There are 3 sections in Math, wherein section A of 65 marks is compulsory for all the students, whereas you can choose any one between section B and section C of 15 marks each and attempt the questions. Scroll down to check out the ISC Class 12 Math Repeated questions.

Also Check ISC Class 12 Mathematics Syllabus 2025-26

ISC Class 12 Math Exam 2026 Repeated Questions

Check some repeated questions below to ease your exam anxiety:

Serial No.	Questions
1.	If A and B are square matrices of order 3, A is a non-singular matrix, and AB = O, then the matrix B is: (a) unit matrix (b) Scalar matrix (c) non-singular matrix (d) null matrix
2.	Consider ∆= \| 2𝑎 2𝑏 2𝑐 2𝑒 𝑓 𝑔 2𝑖 𝑗 𝑘 \| Assertion: The value of ∆ = 4 × \| 𝑎 𝑏 𝑐 𝑒 𝑓 𝑔 𝑖 𝑗 𝑘 Reason: If all elements of one row or one column of a determinant are multiplied by a scalar, 𝑘, then the value of the determinant is multiplied by 𝑘. Which of the following is correct? (a) Both Assertion and Reason are true, and Reason is the correct explanation for Assertion. (b) Both Assertion and Reason are true, but Reason is not the correct explanation for Assertion. (c) Assertion is true and Reason is false. (d) Assertion is false and Reason is true
3.	To raise money for an orphanage, students of three schools, A, B, and C, organized an exhibition in their residential colony, where they sold paper bags, scrap books and pastel sheets made by using recycled paper. Student of school A sold 30 paper bags, 20 scrap books and 10 pastel sheets and raised ₹ 410. Student of school B sold 20 paper bags, 10 scrap books and 20 pastel sheets and raised ₹ 290. Student of school C sold 20 paper bags, 20 scrap books and 20 pastel sheets and raised ₹ 440. Answer the following question: (i) Translate the problem into a system of equations. (ii) Solve the system of equations by using the matrix method. (iii) Hence, find the cost of one paper bag, one scrapbook, and one pastel sheet
4.	In a school, three subject teachers - English, Math, and Science sometimes give surprise tests on the same day. Based on past records: • The English teacher gives a test 90% of the time • The Math teacher gives a test 80% of the time • The Science teacher gives a test 70% of the time. Each teacher decides independently. If the average number of surprise tests is less than 2.3 then the teachers should coordinate better to increase the performance of the students. Otherwise, no action is needed. Let 𝑋 be the number of surprise tests a student gets on a given day. So, 𝑋 ∈ {0,1,2,3}. (i) Find the probability for each possible number of surprise tests. (ii) Use the probabilities to build a distribution table. (iii) Calculate the average number of surprise tests per day. (iv) Based on your calculations, decide: Should the teachers coordinate better? Or is the current plan acceptable?
5.	(i) Which condition is true if Average Cost (AC) is constant at all levels of output? (a) MC > AC (b) MC = AC (c) MC < AC (d) MC = 1/2 AC (ii) Which of the following statement(s) is/are correct with respect to regression coefficients? Statement 1: It measures the degree of linear relationship between two variables. Statement 2: It gives the value by which one variable changes for a unit change in the other variable. 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 statements are true. (d) Both statements are false.
6.	A survey of 50 families to study the relationships between expenditure on accommodation in (₹ x) and expenditure on food and entertainment (₹ y) gave the following results: ∑ 𝑥 = 8500, ∑ 𝑦 = 9600, 𝜎𝑥 = 60, 𝜎𝑦 = 20, 𝑟 = 0.6. Estimate the expenditure on food and entertainment when expenditure on accommodation is ₹200.
7.	Let event A = Bhuvan prepares chapati well. Let event B = Bhuvan cooks curry well. Given P(A) = 0·40, P(B) = 0·30 and P(A and B) = 0·20, Which one of the following is true about the events A and B? (a) They are mutually exclusive but not independent. (b) They are independent but not mutually exclusive. (c) They are both mutually exclusive and independent. (d) They are neither mutually exclusive nor independent.
8.	Dobleron, a chocolate, is known for its distinctive shape and its taste. The quality assurance team of the brand undertakes quality tests in two steps: • Step 1: 30 out of every 990 chocolate bars are randomly picked for physical examination, where the shape of the bar is examined. • Step 2: For every 30 chocolate bars whose shape is examined, 1 chocolate bar is randomly picked for chemical examination, where the composition and taste of the chocolate are examined. If one chocolate bar is randomly picked out of 990 bars, what is the probability that it was not chemically examined, provided it was physically examined?
9.	(i) There are two boxes, Box 1 and Box 2. Each box has 8 red balls, 5 green balls, and 7 blue balls. Sahil takes one ball from Box 1 and places it in Box 2. He then draws two balls from Box 2 simultaneously. (a) What is the probability of Sahil selecting a green ball from Box 1? (b) After Sahil transfers a ball from Box 1 to Box 2, what is the probability of drawing one red ball and one green ball simultaneously from Box 2? (c) Given that the balls drawn from Box 2 are red and green, what is the probability that the ball transferred from Box 1 to Box 2 was green? (d) Prove that the probability mentioned in (c) is less than 15% OR (ii) On a festival, two friends, namely Shanti and Diya, got identical gift bags containing 7 dark chocolates, 8 milk chocolates, and 5 white chocolates each. (a) What is the probability of Diya drawing a dark chocolate from Shanti’s bag? (b) While Shanti was away, Diya transferred one chocolate from Shanti’s bag to hers without looking. What is the probability of drawing a dark chocolate from Diya’s bag after the transfer? (c) Which one of the following probabilities is higher? Why? The probability of drawing a dark chocolate from Diya’s bag after the transfer or the probability of drawing a dark chocolate from Shanti’s bag before the transfer.
10.	(i) A bicycle spare parts manufacturing company decided to upgrade its production unit by installing advanced machinery. As a result of this investment, the cost of producing spare parts increased. The company used to sell 1000 spare parts daily at Rs 50 per unit. The increased daily cost of production C(x) for x number of spare parts is given by C(x) = 99/2 x + 525. If the selling price remains the same, find how many more spare parts the company must sell daily to ensure no loss. OR (ii) The government’s Department of Culture is organising an art and craft exhibition cum sale to promote local artists and their work. They want to charge a nominal amount as an entry fee. Profit, in rupees, generated by the entry tickets can be calculated using the function 𝑃(𝑥) = −8𝑥^3+29400𝑥 − 60000 where x is the price of each ticket. What is the ideal price for each ticket that the department should set to maximise the profit?

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