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

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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