CBSE Class 10 Mathematics Basic Sample Paper 2023

Section A

Section A consists of 20 questions of 1 mark each.
SN Marks

1 If two positive integers p and q can be expressed as p = ab2 and q = a 3b; a, b being prime numbers, then LCM (p, q) is
(a) ab
(b) a²b²
(c) a³b²
(d) a³b³

Answer : C

2 What is the greatest possible speed at which a man can walk 52 km and 91 km in an exact number of hours?
(a) 17 km/hours
(b) 7 km/hours
(c) 13 km/hours
(d) 26 km/hours

Answer : C

3 If one zero of the quadratic polynomial x² + 3x + k is 2, then the value of k is
(a) 10
(b) -10
(c) 5
(d) -5

Answer : B

4 Graphically, the pair of equations given by
6x - 3y + 10 = 0
2x - y + 9 = 0
represents two lines which are
(a) intersecting at exactly one point.
(b) parallel.
(c) coincident.
(d) intersecting at exactly two points.

Answer : B

5 If the quadratic equation x² + 4x + k = 0 has real and equal roots, then
(a) k < 4
(b) k > 4
(c) k = 4
(d) k ≥ 4

Answer : C

6 The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is
(a) 5 units
(b) 12 units
(c) 11 units
(d) (7 + √5) units

Answer : B

7 If in triangles ABC and DEF,
AB /DE = BC/FD , then they will be similar, when
(a) ∠B = ∠E
(b) ∠A = ∠D
(c) ∠B = ∠D
(d) ∠A = ∠F

Answer : C

8 In which ratio the y-axis divides the line segment joining the points (5, - 6) and (-1, - 4)?.
(a) 1 : 5
(b) 5 : 1
(c) 1 : 1
(d) 1 : 2

Answer : B

9 In the figure, if PA and PB are tangents to the circle with centre O such that ∠APB = 50°, then ∠OAB is equal to
(a) 25°
(b) 30°
(c) 40°
(d) 50°

Answer : A