ICSE Maths Specimen Paper 2026 Class 10: CISCE Maths Sample Paper, Download PDF

Category

Details

Conducting Body

Council for the Indian School Certificate Examinations (CISCE)

Exam Name

ICSE Class 10 Mathematics

Academic Session

2025–26

Exam Date

2 March 2026

Paper Type

Theory

Total Marks

80 Marks (Internal Assessment: 20 Marks)

Official Website

cisce.org

Question Number

Questions

Marks

SECTION A (40 Marks)

1

Choose the correct answers to the questions from the given options. 

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

(i)

(𝑎) (𝑥𝑥 − 1) 

(𝑏) (𝑥𝑥 − 4) 

(𝑐) (𝑥𝑥 + 1)

(𝑑) (𝑥𝑥 + 4)

(ii) In the figure given below, AC is a diameter of the circle. AP = 3 cm and PB = 4 cm and QP ⊥ AB.

If the area of ∆APQ is18 cm2 , then the area of shaded portion QPBC is:

(iii) Radha deposited ₹400 per month in a recurring deposit account for 18 months. The qualifying sum of money for the calculation of interest is∶ 

(a) ₹ 3,600 

(b) ₹ 7,200 

(c) ₹ 68,400 

(d) ₹ 1,36,800

(iv) In the given diagram, the radius of the circle with centre O is 3 cm. PA and PB are the tangents to the circle which are at right angle to each other. The length of OP is:

(v)

(a) (A) is true and (R) is false. 

(b) (A) is false and (R) is true. 

(c) Both (A) and (R) are true and (R) is the correct explanation of (A). 

(d) Both (A) and (R) are true, but (R) is not the correct explanation of (A).

(vi) A solid sphere is cut into two identical hemispheres. Assertion (A): The total volume of two hemispheres is equal to the volume of the original sphere. 

Reason (R): The total surface area of two hemispheres together is equal to the surface area of the original sphere.

(a) (A) is true, (R) is false. 

(b) (A) is false, (R) is true. 

(c) Both (A) and (R) are true and (R) is the correct explanation of (A). 

(d) Both (A) and (R) are true, but (R) is not the correct explanation of (A).

(vii) Given that the sum of the squares of the first seven natural numbers is 140, then their mean is: 

(a) 20 

(b) 70 

(c) 280 

(d) 980

(viii) A bag contains 3 red and 2 blue marbles. A marble is drawn at random. The probability of drawing a black marble is∶

(x) A mixture of paint is prepared by mixing 2 parts of red pigments with 5 parts of the base. Using the given information in the following table, find the values of a, b & c to get the required mixture of paint.

(a) a = 10, b = 10, c = 10 

(b) a = 5, b = 2, c = 5 

(c) a = 10, b = 5, c = 10 

(d) a = 10, b = 5, c = 15

(xi) An article which is marked at ₹ 1,200 is available at a discount of 20% and the rate of GST is 18%. The amount of SGST is: 

(a) ₹ 216.00 

(b) ₹ 172.80 

(c) ₹ 108.00 

(d) ₹ 86.40

(xii) The sum of money required to buy 50, ₹ 40 shares at ₹ 38.50 is: 

(a) ₹ 1,920 

(b) ₹ 1,924 

(c) ₹ 1,925 

(d) ₹ 1,952

(a) 0, 0 

(b) 1, 1 

(c) -1, -1 

(d) +1, -1

(xiv) Which of the following equations represents a line equally inclined to the axes? 

(a) 2x – 3y +7 = 0 

(b) x – y = 7 

(c) x = 7 

(d) y = –7

(a) ∅ 

(b) {0} 

(c) {1} 

(d) {0, 1}

15

2

(a) Is the student’s solution correct stating that (2x + 1) is a factor of the given polynomial? 

(b) Give a valid reason for your answer. 

Also, factorize the given polynomial completely.

(ii) P is a point on the x- axis which divides the line joining A (- 6, 2) and B (9, - 4). Find: 

(a) the ratio in which P divides the line segment AB. 

(b) the coordinates of the point P. 

(c) equation of a line parallel to AB and passing through (-3, -2)

(iii) In the given figure, AC is the diameter of the circle with centre O. CD is parallel to BE. ∠AOB = 80⁰ and ∠ACE = 20⁰

Calculate: 

(a) ∠ BEC 

(b) ∠ BCD 

(c) ∠CED

4

3

(i) -11, -7, -3, ………….,49, 53 are the terms of a progression. Answer the following: 

(a) What is the type of progression? 

(b) How many terms are there in all? 

(c) Calculate the value of middle most term.

(ii) In the diagram given below, a tilted right circular cylindrical vessel with base diameter 7 cm contains a liquid. When placed vertically, the height of the liquid in the vessel is the mean of two heights shown in the diagram. Find the area of wet surface, when the cylinder is placed vertically on a horizontal surface. 

(iii) Use a ruler and compass to answer this question. 

(a) Construct a circle of radius 4.5cm and draw a chord AB of length 6.5 cm. 

(b) At A, construct ∠CAB=75°, where C lies on the circumference of the circle. 

(c) Construct the locus of all points equidistant from A and B. (d) Construct the locus of all points equidistant from CA and BA. 

(e) Mark the point of intersection of the two loci as P. Measure and write down the length of CP.

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ICSE Maths Specimen Paper 2026 PDF