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Maths Quiz for Class 8 Powers and Exponents |
In this post, we are providing 20 online maths quiz questions for class 8 powers and exponents. Online maths quiz will take around 20 minutes to complete it.
Question 1: Find the value of (-1)260.
A) -260
B) 260
C) 1
D) -1
Explanation: (-1)260 = 1, because (-1)even number = 1
Question 2: Find the value of (-1)111.
A) -1
B) 1
C) 0
D) 111
Explanation: (-1)111 = -1, because (-1)odd number = -1
Question 3: Which one is the greatest among 24,
42, 34 and 43?
A) 34
B) 24
C) 42
D) 43
Explanation: 24
= 16, 42 = 16, 34 = 81 and 43 = 64. Therefore,
34 is the greatest.
Question 4: Write a2 × a5 × a4 in the exponential form.
A) a10
B) a11
C) a12
D) a40
Explanation: a2 × a5 × a4
= a2 + 5 + 4 = a11.
Question 5: Write 512 as a power of 2.
A) 28
B) 29
C) 27
D) 26
Explanation: 512 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 29
Question 6: Find the value of 3-3.
A) -27
B) -1/27
C) 1/27
D) 27
Explanation: 3-3 = 1/33 = 1/27
Question 7: Write
number for 5 × 103 + 2 × 102 + 4 × 100 + 7 ×
10–1 + 3 × 10–2
+ 6 × 10–3.
A) 524.736
B) 5204.736
C) 5240.736
D) 5204.0736
Explanation: 5 × 103 + 2 × 102 + 4 × 100 + 7 × 10–1 + 3 × 10–2 + 6 × 10–3 = 5 × 1000 + 2 × 100 + 4 × 1 + 7 × 0.1 + 3 × 0.01 + 6 × 0.001 = 5000 + 200 + 4 + 0.7 + 0.03 + 0.006 = 5204.736
Question 8: Find the value of (100)0.
A) 0
B) 100
C) 10
D) 1
Explanation: (100)0 = 1, because 0 power of any number equals 1.
Question 9: -7 × -7 × -7 × -7 × -7 × -7 = __________
A) (-7)6
B) (-7)7
C) (-7)5
D) -76
Explanation: -7 × -7 × -7 × -7 × -7 × -7 = (-7)6
Question 10: (2-3
÷ 2-9) × 2-6 = ________
A) 64
B) 2
C) 1
D) 0
Explanation: (2-3
÷ 2-9) × 2-6 = (2-3 + 9)
× 2-6 = 26 × 2-6 = 26-6 = 20 =
1
Question 11: (3-2
× 3-4) ÷ 3-8 = _________
A) 3
B) 9
C) 27
D) 81
Explanation: (3-2
× 3-4) ÷ 3-8 = (3-2-4)
÷ 3-8 = 3-6 ÷ 3-8 = 3-6 ÷ 3-8 =
3-6-(-8) = 3-6+8 = 32 = 9
Question 12: (10
+ 20 + 30 + 40) × 50 = __________
A) 3
B) 4
C) 5
D) 0
Explanation: (10
+ 20 + 30 + 40) × 50 = (1 + 1 + 1 + 1) × 1 = 4 × 1 = 4
Question 13: Find the value of x, if (-5)x+1
× (-5)6 = (-5)9.
A) x = 2
B) x = 3
C) x = 4
D) x = 1
Explanation: (-5)x+1
× (-5)6 = (-5)9 => (-5)x+1+6
= (-5)9 => (-5)x+7 = (-5)9
=> x + 7 = 9 => x = 9 – 7 => x = 2
Question 14: If (33×
× 35x) ÷ 92x = 81, then find the value of x.
A) x = 4
B) x = 3
C) x = 2
D) x = 1
Explanation: (33×
× 35x) ÷ 92x
= 81 => (33×+5x) ÷ (32)2x = 81
=> 38× ÷ 34x = 34 => 38×-4x
= 34 => 34x = 34 => 4x = 4 => x = 1
Question 15: Write 38500000 in standard form.
A) 385 × 107
B) 38.5 × 107
C) 3.85 × 107
D) 3.85 × 108
Explanation: 38500000 = 3.8500000 × 10000000 = 3.85 × 107
Question 16: Write 5.82 × 104 in usual form.
A) 5820
B) 58200
C) 582000
D) 5820000
Explanation: 5.82 × 104 = 5.82 × 10000 = 58200
Question 17: Write 0.0000000743 in standard form.
A) 7.43 × 10-8
B) 7.43 × 10-7
C) 7.43 × 10-6
D) 7.43 × 10-9
Explanation: 0.0000000743 = 7.43 × 10-8
Question 18: Write 3.27 × 10-5 in usual form.
A) 0.00327
B) 0.000327
C) 0.0000327
D) 0.00000327
Explanation: 3.27 × 10-5 = 3.27 × 0.00001 = 0.0000327
Question 19: The distance between the Sun and the Earth is about 150 million kilometres. Write this distance in standard form.
A) 1.5 × 107 km
B) 1.5 × 108 km
C) 1.5 × 109 km
D) 1.5 × 106 km
Explanation: 150 million km = 150 × 1,000,000 km = 150000000 km = 1.5 × 108 km
Question 20: The radius of an atom is about 0.1 nanometre. Write this radius of atom in standard form in metre. (1 nanometre = 10-9 m)
A) 2 × 10-10 m
B) 1 × 10-8 m
C) 1 × 10-10 m
D) 1 × 10-9 m
Explanation: 0.1 nanometre = 0.1 × 10-9 m = 1/10 × 10-9 m = 10-1 × 10-9 m = 1 × 10-10 m
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