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CBSE · Class 8 · Mathematics

Power Play

Standard difficulty · 20 questions · 40 marks

Name: Date: Score: ____ / 40

Show your working for Sections B and C. Answers are on the last page — try every question first!

Section A — Choose the correct answer8 × 1 = 8 marks
1.
3−3 is equal to:
  1. 27
  2. −27
  3. −1/27
  4. 1/27
2.
99 × 95 equals:
  1. 8114
  2. 94
  3. 914
  4. 945
3.
(3−2)−4 equals:
  1. 32
  2. 3−6
  3. 38
  4. 98
4.
7−3 ÷ 73 equals:
  1. 7−6
  2. 1−6
  3. 70
  4. 76
5.
Any non-zero number raised to the power 0 equals:
  1. 0
  2. 1
  3. the number itself
  4. −1
6.
The standard form of 75,100,000 is:
  1. 751 × 105
  2. 7.51 × 108
  3. 7.51 × 106
  4. 7.51 × 107
7.
The standard form of 0.00000305 is:
  1. 3.05 × 10−6
  2. 3.05 × 10−7
  3. 3.05 × 1010
  4. 3.05 × 10−5
8.
(2/7)−2 equals:
  1. 49/4
  2. 14/5
  3. 4/49
  4. −49/4
Section B — Short answer8 × 2 = 16 marks
9.
Find the value of (3−1 + 8−1)−1.
10.
Simplify: (93 × 9−7) ÷ 99
11.
Find x if 94 × 9x = 98.
12.
Find the value of (−4)5.
13.
Write 5.88 × 107 in usual form.
14.
Write 5.36 × 10−6 in usual form.
15.
Which is larger: 8.35 × 109 or 3.6 × 105?
16.
Find the value of 4−2 − 2−2.
Section C — Word problems4 × 4 = 16 marks
17.
The distance from a planet to its moon is about 74,500,000,000 km. Write this number in standard form.
18.
A red blood cell is about 0.000492 m across. Write this number in standard form.
19.
One sheet of paper is 0.09 cm thick. How thick is a stack of 244 sheets? Give the answer in standard form.
20.
A computer does 9 × 109 calculations in one second. How many calculations does it do in 47 seconds? Give the answer in standard form.
AmbifulWorksheets
Practice that never repeats
CBSE · Class 8 · Mathematics

Answer key

Power Play · AW-8M-EXP-2026-V1 · For parents — fold back or tear off before handing the sheet to your child.

QAnswerWorking
1(d) 1/273−3 = 1/33 = 1/27
2(c) 914add the powers: 9 + 5 = 14
3(c) 38multiply the powers: −2 × (−4) = 8
4(a) 7−6subtract the powers: −3 − 3 = −6
5(b) 1e.g. 70 = 1
6(d) 7.51 × 107move the decimal point to get a number from 1 to 10
7(a) 3.05 × 10−6count the places the decimal point moves to the right
8(a) 49/4flip the fraction and make the power positive: (7/2)2
924/111/3 + 1/8 = 11/24; its reciprocal is 24/11
109−133 − 7 − 9 = −13
11x = 44 + x = 8
12−10245 is odd, so the answer is negative; 45 = 1024
1358,800,000move the decimal point 7 places to the right
140.00000536move the decimal point to the left
158.35 × 109compare the powers of 10 first
16−3/161/16 − 1/4 = −3/16
177.45 × 101074,500,000,000 = 7.45 × 1010
184.92 × 10−40.000492 = 4.92 × 10−4
192.196 × 101 cm0.09 × 244 = 21.96 = 2.196 × 101
204.23 × 10119 × 47 = 423; 423 × 109 = 4.23 × 1011