Mathematics Standard 041 class 10 sample paper quiz

1. If a = 2² × 3^x, b = 2² × 3 × 5, c = 2² × 3 × 7 and LCM(a, b, c) = 3780, then x is equal to:

(A) 1
(B) 2
(C) 3
(D) 0

2. The shortest distance (in units) of the point (2,3) from y-axis is:

(A) 2
(B) 3
(C) 5
(D) 1

3. If the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are not parallel, then k has to be:

(A) 15/4
(B) ≠ 15/4
(C) any rational number
(D) any rational number having 4 as denominator

4. A quadrilateral ABCD is drawn to circumscribe a circle. If BC = 7cm, CD = 4cm and AD = 3cm, then the length of AB is:

(A) 3cm
(B) 4cm
(C) 6cm
(D) 7cm

5. If secθ + tanθ = x, then (secθ – tanθ) will be:

(A) x
(B) x²
(C) 2/x
(D) 1/x

6. Which one of the following is not a quadratic equation?

(A) (x+2)² = 2(x+3)
(B) x² + 3x = (-1)(1 – 3x)²
(C) x³ – x² + 2x + 1 = (x+1)³
(D) (x+2)(x+1) = x² + 2x + 3

7. In the Olympic rings (five congruent circles, radius 1cm, chord length 1cm), the total area of all dotted regions is:

(A) 4[π/12 – √3/4] cm²
(B) [π/6 – √3/4] cm²
(C) 4[π/6 – √3/4] cm²
(D) 8[π/6 – √3/4] cm²

8. A pair of dice is tossed. The probability of not getting the sum eight is:

(A) 5/36
(B) 31/36
(C) 5/18
(D) 5/9

9. If 2 sin 5x = √3 (0° ≤ x ≤ 90°), then x is equal to:

(A) 10°
(B) 12°
(C) 20°
(D) 50°

10. The sum of two numbers is 1215 and their HCF is 81. How many possible pairs of such numbers are there?

(A) 2
(B) 3
(C) 4
(D) 5

11. If the area of the base of a right circular cone is 51 cm² and its volume is 85 cm³, then the height is:

(A) 5/6 cm
(B) 5/3 cm
(C) 5/2 cm
(D) 5 cm

12. If zeroes of the quadratic polynomial ax² + bx + c (a, c ≠ 0) are equal, then:

(A) c and b must have opposite signs
(B) c and a must have opposite signs
(C) c and b must have same signs
(D) c and a must have same signs

13. The area (in cm²) of a sector of a circle of radius 21cm cut off by an arc of length 22cm is:

(A) 441
(B) 321
(C) 231
14. If ΔABC ~ ΔDEF, AB = 6cm, DE = 9cm, EF = 6cm and FD = 12cm, then the perimeter of ΔABC is:
- (A) 28cm
- (B) 28.5cm
- (C) 18cm
- (D) 23cm

15. If the probability of choosing a vowel from “Mathematics” is 2 / (2x + 1), then x is:

(A) 4/11
(B) 9/4
(C) 11/4
(D) 4/9

16. The points A(9,0), B(9,-6), C(-9,0) and D(-9,6) are vertices of a:

(A) Square
(B) Rectangle
(C) Parallelogram
(D) Trapezium

17. If each observation of a set with median 20.5 is increased by 2, then the new median:

(A) is increased by 2
(B) is decreased by 2
(C) is two times the original
(D) remains the same

18. Length of a tangent to a circle of radius 9cm from a point 41cm from the centre is:

(A) 40cm
(B) 9cm
(C) 41cm
(D) 50cm

19. Assertion (A): The number 5ⁿ cannot end with the digit 0.
Reason (R): A number ends with 0 if its prime factorization contains both 2 and 5.

(A) Both A and R are true and R is correct explanation
(B) Both A and R are true but R is not correct explanation
(C) A is true, R is false
(D) A is false, R is true

20. Assertion (A): If cos A + cos² A = 1, then sin² A + sin⁴ A = 1.
Reason (R): sin² A + cos² A = 1.

(A) Both A and R are true and R is correct explanation
(B) Both A and R are true but R is not correct explanation
(C) A is true, R is false
(D) A is false, R is true

Mathematics Standard 041 class 10 sample paper quiz

Based on the official CBSE Mathematics Standard (041) Sample Question Paper and Marking Scheme for the 2025-26 session, here is the complete 20-question Section A quiz.

CBSE Mathematics Standard (041)

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