Maths Specimen Paper 2024 Sec-A Solved for ICSE Class-10. Step by step solutions as council prescribe guideline of model sample question paper. During solutions of Maths specimen paper we explain with figure , graph, table whenever necessary so that student can achieve their goal in next upcoming exam of council. Visit official website CISCE for detail information about ICSE Board Class-10.

## ICSE Class-10 Maths Specimen Paper 2024 Sec-A Solved

Board | ICSE |

Class | 10th (x) |

Subject | Maths |

Topic | Specimen Paper Solved |

Syllabus | Revised Syllabus |

Session | 2023-24 |

Question Type | Sec-A (MCQs and Descriptive) |

Total question | 3 with Part |

Max mark | 40 |

### ICSE Maths Specimen Paper 2024 Solved Class-10

According to latest circular of CISCE 2024 board exam of ICSE will be on the base of analytical thinking and logical types questions. The council also added assertion and reason type questions to develop the skill and confidence among ICSE Students. So this year require more particle with concept base learning.

**Warning :-** before viewing solution view Question Paper

### ICSE SPECIMEN QUESTION PAPER 2024

MATHEMATICS

Maximum Marks: 80

- Time allowed: Two and half hours Answers to this Paper must be written on the paper provided separately.
- You will not be allowed to write during first 15 minutes.
- This time is to be spent in reading the question paper.
- The time given at the head of this Paper is the time allowed for writing the answers.

**Attempt all questions from Section A and any four questions from Section B.**

- All working, including rough work, must be clearly shown, and must be done on the same sheet as the rest of the answer.
- Omission of essential working will result in loss of marks. The intended marks for questions or parts of questions are given in brackets [ ]
- Mathematical tables are provided.

**SECTION A Maths ICSE Specimen Paper Solved 2024 Class-10**

(Attempt all questions from this Section.)

**Question 1: Choose the correct answers to the questions from the given options: [15]**

(Do not copy the question, write the correct answers only.)

**(i) 𝐼𝑓 𝐴 = [−1 2] 𝑎𝑛𝑑 𝐵 = [….. ]**

**Which of the following operation is possible?**

(a) A – B

(b) A + B

(c) AB

(d) BA

**(ii) If 𝑥² + 𝑘𝑥 + 6 = (𝑥 − 2 )(𝑥 − 3) for all values of x, then the value of k is:**

(a) – 5

(b) – 3

(c) – 2

(d) 5

**(iii) A retailer purchased an item for ₹1500 from a wholesaler and sells it to a customer at 10% profit. The sales are intra-state and the rate of GST is 10%. The amount of GST paid by the customer:**

(a) ₹15

(b) ₹30

(c) ₹150

(d) ₹165

**(iv) If the roots of equation 𝑥² − 6𝑥 + 𝑘 = 0 are real and distinct, then value of k is:**

(a) > –9

(b) > –6

(c) < 6

(d) < 9

**(v) Which of the following is/are an Arithmetic Progression (A.P.)?**

1. 1, 4, 9, 16,……….

2. √3, 2√3, 3√3, 4√3,………

3. 8, 6, 4, 2,………

(a) only 1.

(b) only 2.

(c) only 2. and 3.

(d) all 1., 2. and 3.

………….

**(vi) The table shows the values of x and y, where x is proportional to y.** ……

**(vii) In the given diagram, ∆ ABC ~ ∆ PQR and 𝐴𝐷 …….**

**(viii) A right angle triangle shaped piece of hard board is rotated completely about its hypotenuse, as shown in the diagram. The solid so formed is always: …….**

**(ix) Event A: The sun will rise from east tomorrow.**

**Event B: It will rain on Monday.**

**Event C: February month has 29 days in a leap year. …….**

Which of the above event(s) has probability equal to 1?

**(x) The three vertices of a scalene triangle are always equidistant from a fixed point. The point is: …….**

**(xi) In a circle with radius R, the shortest distance between two parallel tangents is equal to∶…….**

**(xii) An observer at point E, which is at a certain distance from the lamp post AB, finds the angle of elevation of top of lamp post from positions C, D and E as α, β and γ. It is given that B, C, D and E are along a straight line……..**

Which of the following condition is satisfied?

**(xiii) 1. Shares of company A, paying 12%, ₹100 shares are at ₹80. ……………**

**(xiv) Which of the following equation represent a line passing through origin? …………**

**(xv) For the given 25 variables: 𝒙𝟏 , 𝒙𝟐 , 𝒙𝟑 … … … … … . 𝒙𝟐𝟓 ………..**

**Question 2:**

(i) Shown below is a horizontal water tank composed of a cylinder and two hemispheres. The tank is filled up to a height of 7 m. Find the surface area of the tank in contact with water. Use π = 22/7

(ii) In a recurring deposit account for 2 years, the total amount deposited by a person is ₹ 9600. If the interest earned by him is one-twelfth of his total deposit, then find:

(a) the interest he earns.

(b) his monthly deposit.

(c) the rate of interest.

(iii) Find:

(a) (sin 𝜃 + 𝑐𝑜𝑠𝑒𝑐 𝜃)²

(b) (𝑐𝑜𝑠 𝜃 + 𝑠𝑒𝑐 𝜃)²

Using the above results prove the following trigonometry identity.

(sin 𝜃 + 𝑐𝑜𝑠𝑒𝑐 𝜃)² + (cos 𝜃 + sec 𝜃)² = 7 + 𝑡𝑎𝑛²𝜃 + 𝑐𝑜𝑡²𝜃

**Question 3:**

(i) If a, b and c are in continued proportion, then prove that: …….

(ii) In the given diagram, O is the centre of circle circumscribing the ∆ABC. CD is perpendicular to chord AB. ∠OAC=32°. Find each of the unknown angles x, y and z ……

(iii) Study the graph and answer each of the following:

(a) Name the curve plotted

(b) Total number of students

(c) The median marks

(d) Number of students scoring between 50 and 80 marks

**For More Question and Solutions See in Your PDF**

**SECTION A Maths ICSE Specimen Paper Solved 2024 Class-10 PDF Solution**

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Thanks

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Question 3, part (iii)

(b) Number of students is 40.

(c) According to the paper on council website, median should be 56.

(d) This answer was not mentioned, it should be 25.

Great solutions. Much appreciated👌

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