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
Answers:
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
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