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## ISC Maths specimen paper 2024

The Council for the Indian School Certificate Examinations (CISCE) has released the ISC Class 12 Maths Specimen Paper 2024 online. Students who are going to take the ISC board exam this year must go through the official specimen paper released by the CISCE. The ISC Maths Specimen Paper 2024 is an important resource to prepare for the actual board exam as it contains similar patterns and levels of questions. The ISC Maths Specimen Paper 2024 subject has been released in advance so that students get an ample amount of time for preparation and practice.

## ISC Class 12 Maths Specimen Paper 2024

The ISC Class 12 Maths Specimen Paper 2024 is the blueprint of the real exam paper that the students need to solve in the upcoming board exam. Mathematics is a highly important subject that is common in both the commerce and science stream of the class 12 ISC board. So, the subject holds a great significance in the board exam. Due to its complex analytical nature, Mathematics as a subject requires a good amount of practice. That is why, students must start solving the specimen papers as early as possible.

For students preparing for their board exams, the ISC Class 12 Maths Specimen Paper 2024 is going to be an essential tool. Specimen papers provide guidance for the real test by providing information on the types, formats, and scoring system of the questions. The ISC Maths specimen paper 2024 is definitely the best source to prepare for the upcoming board exam.

## ISC Maths Class 12 Specimen Paper 2024 Overview

The Specimen Paper of the ISC Class 12 Math contains the same number of questions spread throughout the various chapters as the official curriculum. This aids students in determining the relative importance of each unit and allocating study time appropriately. Some of the important details of the ISC Class 12 Math Specimen Paper 2024 is given hereunder.

**Maximum Marks: 80 Marks**

**Time Limit of the Exam: 3 hours**

**Time allocated for Reading the Paper: Additional 15 Minutes**

**Number of Sections: 3**

**Sections Name: A, B, and C (Candidates must either do section B or C) **

**Section A Marks: 65 Marks**

**Section B Marks: 15 Marks**

**Section C Marks: 15 Marks**

## ISC Math Class 12 Specimen Paper 2024 Instructions

The ISC Class 12 Mathematics specimen paper contains several important instructions that will be present in the real exam paper too. So, students must go through the instructions given in the specimen paper from the examination point of view. Some of the important instructions given in the ISC Class 12 Maths Specimen Paper 2024 is given herein.

- This Question Paper consists of three sections A, B and C.
- Candidates are required to attempt all questions from Section A and all questions EITHER from Section B OR Section C.
- Section A: Internal choice has been provided in two questions of two marks each, two questions of four marks each and two questions of six marks each.
- Section B: Internal choice has been provided in one question of two marks and one question of four marks.
- Section C: Internal choice has been provided in one question of two marks and one question of four marks.
- All working, including rough work, should be done on the same sheet as, and adjacent to the rest of the answer.
- The intended marks for questions or parts of questions are given in brackets [ ].
- Mathematical tables and graph papers are provided.

## ISC Maths Specimen Paper 2024 PDF

The PDF of the official ISC Maths Specimen Paper 2024 is given hereunder for the convenience of students. Students can download this ISC Maths Specimen Paper 2024 and practice it at their own convenience. Candidates must solve the ISC Maths Specimen Paper 2024 provided below and practice the questions provided in ISC Maths Specimen Paper 2024 them on a regular basis, so that they can fully master the subject and gain more marks.

**ISC Class 12 Maths Specimen Paper 2024 PDF**

## ISC Class 12 Maths Specimen Paper 2024 Importance

It is essential to understand the Class 12 Maths Specimen Paper 2024 in order to pass the actual board exam with good numbers. By examining the specimen paper, students can gain an understanding of the new types of questions that will be asked on the test. It gives students a comprehensive grasp of the format, grading system, and potential question kinds of the test.

Students can change their study schedules, prioritize themes, and manage their time more efficiently by becoming familiar with the Specimen paper’s structure and content. As a result, both teachers and students will be able to organize their curriculum effectively.

## ISC Maths Specimen Paper 2024: Section A

**Section A – 65 Marks**

Question 1

In subparts (i) to (x) choose the correct options and in subparts (xi) to (xv), answer the questions as instructed.

**[1]**

(v) Bhuvan is preparing chapati and curry for a dinner party at his home.

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? **[1]**

(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.

Which of the following is true?

(a) g(x) is continuous and differentiable at x = 2

(b) g(x) is continuous but not differentiable at x = 2

(c) g(x) is not continuous but differentiable at x = 2

(d) g(x) is neither continuous nor differentiable at x = 2

(ix) Statement 1: The function 𝑓: 𝑁 ⟶ 𝑁 given by f(x) = 5x is one to one and onto.

Statement 2: The function 𝑓: 𝑅 ⟶ 𝑅 given by f(x) = 5x is one to one and onto. **[1]**

Which one of the following options is correct?

(a) Both the statements are true.

(b) Both the statements are false.

(c) Statement 1 is true and Statement 2 is false.

(d) Statement 1 is false and Statement 2 is true.

(x) Matrix P is a skew-symmetric matrix of odd order. **[1]**

Assertion: The inverse of matrix P does not exist.

Reason : The determinant of matrix P is zero.

(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.

(xi) The function 𝑓: 𝑋 ⟶ 𝑌 is not invertible. State the reason. **[1]**

(xiii) If a relation 𝑅 on the set 𝐴 = {1, 2, 3} be defined by 𝑅 = {(1, 2), (2, 1)} then classify the function 𝑅. **[1]**

(xiv) A company has estimated that the probabilities of success for three products introduced in the market are 1/3, 2/5 and 2/3 respectively. Assuming independence, find the probability that at least one product is successful. **[1]**

(xv) Dobleron, a chocolate is known for its distinctive shape and its taste. The quality assurance team of the brand undertakes quality test 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 is 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?

Question 2 **[2]**

(i) The table below shows some of the values of differentiable functions u and v and their derivatives.

Question 10 ** [4]**

(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.

Question 11 **[6]**

Garima owns a cafe that serves burgers, samosas, and juice bottles. On a particular day, 100 items in total were sold. The number of burgers sold was thrice the number of samosas sold. Also, the number of samosas sold was 10 more than the number of juice bottles sold.

(i) Form a set of simultaneous equations for the above information.

(ii) Solve the set of equations formed in (i) by matrix method.

(iii) Hence, find the number of items sold in each category.

## ISC Maths Specimen Paper 2024: Section B

**Section B – 15 marks**

## ISC Maths Specimen Paper 2024: Section C

**Section C – 15 Marks**

Question 19 ** [5]**

In subparts (i) and (ii) choose the correct options and in subparts (iii) to (v), answer the questions as instructed.

(i) At a toy factory, the production cost per day for x number of toys is given by the following function:

C(x) = 0.0001x³ – 0.01x² – 20x + 3500

Which of these represents the approximate additional cost to produce 201st toy?

(a) C(200)

(b) AC(201)

(c) MC(200)

(d) MC(201)

(ii) At FNG High School, teachers plotted students’ scores in Science and Social Studies with respect to their scores in Maths and English, from their 10th grade final examination.

The graphs plotted by the teachers are shown below: