CBSE Class 10 Mathematics Standard 2024 Sample Paper Solved

SECTION A

Section A consists of 20 questions of 1 mark each.

1. If two positive integers a and b are written as a = x3y2 and b = xy3, where x, y are prime numbers, then the result obtained by dividing the product of the positive integers by the LCM (a, b) is
(a) xy
(b) xy²
(c) x³y³
(d) x²y²
Answer : B

2. The given linear polynomial y = f(x) has
(a) 2 zeros
(b) 1 zero and the zero is ‘3’
(c) 1 zero and the zero is ‘4’
(d) No zero
Answer : B

3. The given pair of linear equations is non-intersecting. Which of the following statements is true?
(a) 𝑎1/𝑎2 = 𝑏1/𝑏2 = 𝑐1/𝑐2
(b) 𝑎1/𝑎2 = 𝑏1/𝑏2 ≠ 𝑐1/𝑐2
(c) 𝑎1/𝑎2 ≠ 𝑏1/𝑏2 = 𝑐1/𝑐2
(d) 𝑎1/𝑎2 ≠ 𝑏1/𝑏2 ≠ 𝑐1/𝑐2
Answer : B

4. Write the nature of roots of the quadratic equation 9x2 – 6x – 2 = 0.
(a) No real roots
(b) 2 equal real roots
(c) 2 distinct real roots
(d) More than 2 real roots
Answer : C

5. Two APs have the same common difference. The first term of one of these is –1 and that of the other is – 8. Then the difference between their 4th terms is
(a) 1
(b) -7
(c) 7
(d) 9
Answer : C

6. Find the ratio in which the line segment joining (2,-3) and (5, 6) is divided by x-axis.
(a) 1:2
(b) 2:1
(c) 2:5
(d) 5:2
Answer : A

7. (x,y) is 5 unit from the origin. How many such points lie in the third quadrant?
(a) 0
(b) 1
(c) 2
(d) infinitely many
Answer : D

8. In 𝛥 ABC, DE ‖ AB. If AB = a, DE = x, BE = b and EC = c.
Express x in terms of a, b and c.
(a) 𝑎𝑐/𝑏
(b) 𝑎𝑐/𝑏+𝑐
(c) 𝑎𝑏/𝑐
(d) 𝑎𝑏/𝑏+𝑐
Answer : B

9. If O is centre of a circle and Chord PQ makes an angle 50° with the tangent PR at the point of contact
P, find the angle made by the chord at the centre.
(a) 130°
(b) 100°
(c) 50°
(d) 30°
Answer : B

10. A Quadrilateral PQRS is drawn to circumscribe a circle.
If PQ = 12 cm, QR = 15 cm and RS = 14 cm, find the length of SP.
(a) 15 cm
(b) 14 cm
(c) 12 cm
(d) 11 cm
Answer : D

Please refer to attached file for CBSE Class 10 Mathematics Sample Paper 2024