ICSE Class 10 Maths Specimen Papers 2026-27: Download PDF for CISCE Board Exam

Category

Details

Conducting Body

Council for the Indian School Certificate Examinations (CISCE)

Exam Name

ICSE Class 10 Mathematics

Academic Session

2026–27

Exam Date

To be announced 

Paper Type

Theory

Total Marks

80 Marks (Internal Assessment: 20 Marks)

Official Website

cisce.org

SECTION A (40 Marks)

Question 1:

Choose the correct answers to the questions from the given options.
(i) A customer pays a total GST of ₹ 600 on an article in an intra-state sale, and the tax rate is 12%. The price of the article is:
(a) ₹ 2,000
(b) ₹ 3,000
(c) ₹ 5,000
(d) ₹ 7,200

(ii) Assertion (A): In a recurring deposit account, a man deposits ₹ 1000 per month for 1 year. On maturity he receives ₹ 13500. The amount of interest he earns is ₹1500.
Reason (R): Interest earned = Maturity value − Total amount deposited.

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

(iii) A man buys 50, ₹ 100 shares of a company at ₹ 125 paying 6% dividend per annum. At the end of the year, the company will pay a total dividend on:
(a) ₹ 100
(b) ₹ 125
(c) ₹ 5000
(d) ₹ 6250

(iv) If the roots of the quadratic equation 𝑥𝑥2 − 8𝑥𝑥 + 𝑝𝑝2 = 0 are equal, then the positive value of p is:
(a) 16
(b) 8
(c) 4
(d) 2

(v) 12, 18 and 𝒙 are in continued proportion. The value of 𝒙 is:
(a) 24
(b) 27
(c) 30
(d) 36

(vi) (𝑥 + 2) 𝑎𝑎𝑎𝑎𝑎𝑎 (𝑥 + 3) are the factors of 𝑥3 + 4𝑥2 + 𝑥 − 6. The third factor of the given polynomial is:
(a) (𝑥 − 1)
(b) (𝑥 − 4)
(c) (𝑥 + 1)
(d) (𝑥 + 4)

(viii) If the nth term of a Geometric Progression (G.P.) is given by 5 × 2𝑛 then the common ratio is:
(a) 2
(b) 5
(c) 10
(d) 20

(ix) The line 𝑦 = 2𝑥 passes through which pair of coordinates?
(a) (0, 0) and (2, 2)
(b) (0, 2) and (2, 4)
(c) (1, 2) and (-1, -2)
(d) (2, 2) and (-2, -2)

(x) On a map of scale 1: 50,000, a rectangular plot has sides 4 cm by 3 cm. The actual area of the plot on ground is:
(a) 3 𝑘m2
(b) 9 𝑘m2
(c) 12 𝑘m2
(d) 16 𝑘m2

(xi) 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:

(a) 3/√2 cm
(b) 3 cm
(c) 3√2 cm
(d) 6√2 cm

(xii) A conical tent with a capacity of 616 𝑚3 has a base area 154 𝑚2. The height of the tent is:
(a) 3 m
(b) 4 m
(c) 7 m
(d) 12 m

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

(xiv) Consider the following distribution 30, 34, 35, 36, 37, 38, 39, 40. If the value 35 is removed from the given data, then the median changes by:
(a) 0.5
(b) 1.0
(c) 1.5
(d) 2.0

(xv) A game of chance consists of spinning an arrow which is equally likely to come to rest pointing to one of the numbers 1, 2, 3……12. The probability that it will point to an odd number is:
(a) 1/6
(b) 1/12
(c) 1/2
(d) 5/12

Question 2

(i) Three students A, B and C of Class 10 are each given an equal amount of Play- Dough to form different shaped solids for a mathematics project. A forms a cone of radius 7 cm and height 28 cm. B forms a sphere of radius r and C forms a cylinder of radius 14 cm. Find the:
(a) radius r of the sphere so formed.
(b) height of the cylinder so formed.
(c) Volume of the dough given to each of them.
Give your answers to (b) and (c) correct to the nearest whole number. (Use 𝜋𝜋 = 22/7 )

(ii) Solve the quadratic equation (𝑥 − 2)2 + 11𝑥 − 7 = 0 and give your answer correct to 3 significant figures.

(iii) A line is formed joining the two points P(−𝟒, 𝟏) and Q(𝟏1, −𝟐). Straight line PQ intersects the 𝒙-axis at R. Find the:
(a) ratio PR : RQ.
(b) coordinates of the point R.
(c) equation of the line perpendicular to PQ at R.

Question 3

(i) A shopkeeper marked an article at ₹ 2000. The rate of GST on the article is 18%. The customer has only ₹ 1888 with him and he requests the shopkeeper to reduce the price so that he can buy the article at ₹ 1888 including GST. What percent discount must the shopkeeper give to do so?

(ii) An Arithmetic Progression (A.P.) consists of all whole numbers which are divisible by 3 and 5.
(a) Write its first term and the common difference.
(b) Find the 10th term of the A.P.
(c) Find the sum of the first 10 terms of the A.P.

SECTION B (40 Marks)

Question 4

(i) A man opened a recurring deposit account in a bank. He deposits ₹ 1000 per month for 2 years. The matured value is equal to 26 times the amount he pays per month. Find the:
(a) interest paid by the bank.
(b) rate of interest per annum that the bank was paying for the recurring deposit account.

Question 5

(i) Ms. Kaur invested ₹ 8000 in buying ₹ 100 shares of a company paying 6% dividend at ₹ 80. After a year, she sold these shares at ₹ 75 each and invested the proceeds including the dividend received during the first year in buying ₹ 20 shares paying 15% dividend at ₹ 27 each. Find the:
(a) dividend received by her during the first year.
(b) number of shares she purchased using the total proceeds including the dividend.

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