# Class 10 Maths (Basic) Term 1 MCQs For Practice (Set-1)

No. of Questions: 25                                                                             Duration: 30 min

Tough Level: Easy

Q1: The largest number that will divide 398, 436 and 542 leaving remainders 7, 11 and 15 respectively is

(a) 17

(b) 11

(c) 34

(d) 45

Q2: The sum of two irrational numbers is always

(a) irrational

(b) rational

(c) rational or irrational

(d) one

Q3: The product of two consecutive natural numbers is always:

(a) prime number

(b) odd number

(c) even number

(d) even or odd

Q4: The graphical representation of a quadratic polynomial is

(a) always a straight line

(b) any type of curve

(c) always a parabola

(d) maybe a parabola or a line

Q5: What is the number of zeroes (at the most) that a linear polynomial has/have:

(a) 0

(b) 1

(c) 2

(d) 3

Q6: What is the number of real zeroes that a quadratic polynomial can have:

(a) 0

(b) 1

(c) 2

(d) All of these

Q7: If a pair of linear equations is consistent, then the lines will be

(a) always coincident

(b) parallel

(c) always intersecting

(d) intersecting or coincident

Q8: The graph of x = –6 is a line parallel to the

(a) x-axis

(b) y-axis

(c) both x- and y-axis

(d) none of these

Q9: The value of k, for which equations 3x + 5y = 0 and kx + 10y = 0 has a non-zero solution is

(a) 6

(b) 0

(c) 2

(d) 5

Q10: D and E are respectively the points on the sides AB and AC of a triangle ABC such that AD = 2 cm, BD = 3 cm, BC = 7.5 cm and DE || BC. Then, length of DE (incm) is

(a) 2.5 cm

(b) 3 cm

(c) 5 cm

(d) 6 cm

Q11: Equilateral triangle has all sides equal. What is the measure of each angle of such a triangle?

(a) 30°

(b) 60°

(c) 90°

(d) 45°

Q12: If ∆ABC ~ ∆PQR, BC:QR = 1:3,then ar(BCA):ar(PRQ) is?

(a) 1:9

(b) 1:3

(c) 3:1

(d) 9:1

Q13: The distance between the point P(1, 4) and Q(4, 0) is

(a) 4 units

(b) 5 units

(c) 6 units

(d) 8 units

Q14: If three points are collinear, what will be the area of the triangle formed by these points?

(a) 1 sq. units

(b) 2 sq. units

(c) 0 sq. units

(d) 3 sq. units

Q15: The line 3x + y – 9 = 0 divides the line joining the points (1, 3) and (2, 7) internally in the ratio

(a) 3:4

(b) 3:2

(c) 2:3

(d) 4:3

Q16: sin2B = 2sinB is true when B is equal to

(a) 90°

(b) 60°

(c) 30°

(d) 0°

Q17: What is the minimum value of sin A, 0 ≤ A ≤ 90°

(a) –1

(b) 0

(c) 1

(d) 1/2

Q18: If sinA – cosA = 0, then the value of sin⁴A + cos⁴A is?

(a) 2

(b) 1

(c) 1/2

(d) 3/4

Q19: The area of the circle is 154 cm². The radius of the circle is?

(a) 7 cm

(b) 14 cm

(c) 3.5 cm

(d) 17.5 cm

Q20: What is the angle swept by the minute hand in 5 minutes?

(a) 5°

(b) 10°

(c) 30°

(d) 45°

Q21: The radii of the two circles are 19 cm and 9 cm respectively. The radius of the circle which has a circumference equal to the sum of the circumference of two circles is

(a) 35cm

(b) 10cm

(c) 21cm

(d) 28 cm

Q22: Area swept by a sector of θ=60° and diameter = 12cm is?

(a) 12π cm²

(b) 6π cm²

(c) 144π cm²

(d) 36π cm²

Q23: If the probability of winning a game is 0.45, what is the probability of losing the game (assuming draw is not possible)?

(a) 0.45

(b) 0.55

(c) 0

(d) 1

Q24: Three coins are tossed simultaneously. The probability of getting all heads is?

(a) 1

(b) 0.5

(c) 0.25

(d) 0.125

Q25: A ticket is drawn at random from a bag containing tickets numbered from 1 to 40. Find the probability that the selected ticket has a number which is a multiple of 5.

(a) 1/5

(b) 1/4

(c) 1/8

(d) 1/2

1: (a) 17

2: (a) irrational

3: (c) even number

4: (c) always a parabola

5: (b) 1

6: (d) All of these (Note real zeros: A quadratic polynomial can have non-real zeros as well)

7: (d) intersecting or coincident

8: (b) y-axis

9: (a) 6

10: (b) 3 cm

11: (b) 60°

12: (a) 1:9

13: (b) 5 units

14: (c) 0 sq. units

15: (a) 3:4

16: (d) 0°

17: (b) 0

18: (c) 1/2

19: (a) 7 cm

20: (c) 30°

21: (d) 28cm

22: (b) 6π cm²

23: (b) 0.55

24: (d) 0.125

25: (a) 1/5