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Organisation : Council For The Indian School Certificate Examinations
Class : Class X
Document Type : Specimen Question Paper
Subject : Mathematics
Semester : 1 And 2
Year : 2022
Website : https://cisce.org/publications.aspx

ICSE Class X Mathematics Question Paper

Council For The Indian School Certificate Examinations (ICSE) Class X Mathematics Specimen Question Papers Semester 1 and 2 for the year 2022.

Related / Similar Question Paper : ICSE Class X French Specimen Question Paper 2022 : cisce.org

ICSE Mathematics Questions

1. If matrix A is of order 3 x 2 and matrix B is of order 2 x 2 then the matrix AB is of order
(a) 3 x 2
(b) 3 x 1
(c) 2 x 3
(d) 1 x 3

2. The percentage share of SGST of total GST for an Intra-State sale of an article is
(a) 25%
(b) 50%
(c) 75%
(d) 100%

3. 𝐴𝐵𝐶𝐷 𝑖𝑠 𝑎 𝑡𝑟𝑎𝑝𝑒𝑧𝑖𝑢𝑚 𝑤𝑖𝑡ℎ 𝐴𝐵 𝑝𝑎𝑟𝑎𝑙𝑙𝑒𝑙 𝑡𝑜 𝐷𝐶. 𝑇ℎ𝑒𝑛 𝑡ℎ𝑒 𝑡𝑟𝑖𝑎𝑛𝑔𝑙𝑒 𝑠𝑖𝑚𝑖𝑙𝑎𝑟 𝑡𝑜 ∆𝐴𝑂𝐵 𝑖𝑠
(a) ∆𝐴𝐷𝐵
(b) ∆𝐴𝐶𝐵
(c) ∆𝐶𝑂𝐷
(d) ∆𝐶𝑂𝐵

4. The mean proportion between 9 and 16 is
(a) 25
(b) 144
(c)7
(d) 12

5. A man deposited ₹ 500 per month for 6 months and received ₹3300 as the maturity value. The interest received by him is: –
(a) 1950
(b) 300
(c) 2800
(d) none of these

6. The solution set representing the following number line is
(a) {x: x ∈ R, -3 ≤ x < 2}
(b) {x: x ∈ R, -3 < x < 2}
(c) {x: x ∈ R, -3 < x ≤ 2}
(d) {x: x ∈ R, -3 ≤ x ≤2}

7. The first three terms of an arithmetic progression (A. P.) are 1, 9, 17, then the next two terms are
(a) 25 and 35
(b) 27 and 37
(c) 25 and 33
(d) none of these

8. If ∆𝐴𝐵𝐶 ~ ∆𝑄𝑅𝑃 𝑡ℎ𝑒𝑛 𝑡ℎ𝑒 𝑐𝑜𝑟𝑟𝑒𝑠𝑝𝑜𝑛𝑑𝑖𝑛𝑔 𝑝𝑟𝑜𝑝𝑜𝑟𝑡𝑖𝑜𝑛𝑎𝑙 𝑠𝑖𝑑𝑒𝑠 𝑎𝑟𝑒
(a) 𝐴𝐵 𝑄𝑅 = 𝐵𝐶 𝑅𝑃
(b) 𝐴𝐶 𝑄𝑅 = 𝐵𝐶 𝑅𝑃
(c) 𝐴𝐵 𝑄𝑅 = 𝐵𝐶 𝑄𝑃
(d) 𝐴𝐵 𝑃𝑄 = 𝐵𝐶 𝑅𝑃

9. If x∈ 𝑊 , then the solution set of the in equation -x > -7, is
(a) {8,9,10…}
(b) {0,1,2,3,4,5,6}
(c) {0,1,2,3 …}
(d) { -8, -9, -10…}

10. The roots of the quadratic equation 4𝑥2 – 7x + 2 = 0 are 1.390, 0. 359.The roots correct to 2 significant figures are
(a) 1.39 and 0.36
(b) 1.3 and 0.35
(c) 1.4 and 0.36
(d) 1.390 and 0.360

11. 1.5, 3, x and 8 are in proportion, then x is equal to
(a) 6
(b) 4
(c) 4.5
(d) 16

12. If a polynomial 2𝑥2 – 7x – 1 is divided by (x + 3), then the remainder is
(a) – 4
(b)38
(c)-3
(d) 2

13. If 73 is the nth term of the arithmetic progression 3, 8, 13, 18…, then ‘n’ is
(a) 13
(b) 14
(c) 15
(d) 16

14. The roots of the quadratic equation x2+2x+1 = 0 are
(a) Real and distinct
(b) Real and equal
(c) Distinct
(d) Not real/ imaginary

15. Which of the following statement is not true?
(a) All identity matrices are square matrix
(b) All null matrices are square matrix
(c) For a square matrix number of rows is equal to the number of columns
(d) A square matrix all of whose elements except those in the leading diagonal are zero is the diagonal matrix

16. If (x – 2) is a factor of the polynomial x3 + 2×2 – 13 x + k, then ‘k’ is equal to
(a) -10
(b)26
(c)-26
(d) 10

Section B

17. A man deposited ₹1200 in a recurring deposit account for 1 year at 5% per annum simple interest. The interest earned by him on maturity is
(a) 14790
(b) 390
(c) 4680
(d) 780

18. If x2 – 4 is a factor of polynomial x3+ x2 – 4x- 4, then its factors are
(a) (x-2) (x+2) (x+1)
(b) (x-2) (x+2) (x-1)
(c) (x-2) (x-2) (x+1)
(d) (x-2) (x-2) (x-1)

19. The following bill shows the GST rates and the marked price of articles A and
B : BILL: GENERAL STORE
Articles Marked price Rate of GST
A ₹300 12% B ₹1200 5%

The total amount to be paid for the above bill is: –
(a) 1548
(b) 1596
(c) 1560
(d) 1536

20. The solution set for the linear inequation -8 ≤ x – 7 < – 4, x∈ 𝐼 is
(a) {x: x ∈ R, -1≤ x < 3}
(b) {0, 1, 2, 3}
(c) {-1, 0, 1, 2, 3}
(d) { -1, 0, 1, 2}

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