Class 8 Maths Chapter 2 Power Play Worksheet and PDF

Here we are with another chapter of class 8 maths. In the chapter 2, "Power Play", we have 20 challenging questions for you. The will give you complete practice of the chapter. You can download the worksheet below.

Chapter 2 Power Play PDF download: Power Play PDF Worksheet

20 Class 8 Maths Chapter 2 Power Play Worksheet

Question 1. A paper has thickness 0.001 cm and doubles every fold. Which expression gives the thickness after n folds?

a) 0.001 × n cm
b) 0.001 × 2n cm
c) 0.001 × 2ⁿ cm
d) 0.001ⁿ × 2 cm

Question 2. The thickness after 10 folds is 1.024 cm. What is the multiplication factor from fold 10 to fold 20?

a) 20
b) 100
c) 512
d) 1024

Question 3. Using 0.001 cm initial thickness, the thickness after 46 folds is closest to:

a) 7 km
b) 700 km
c) 7,00,000 km
d) 70,00,000 km

Question 4. In "Stones that Shine", the number of rooms is written as 3⁴. How many rooms are there?

a) 27
b) 81
c) 243
d) 729

Question 5. In the same story, the total number of diamonds is 3⁷. What is its value?

a) 2187
b) 729
c) 243
d) 6561

Question 6. Which is the correct simplification?

a) p⁴ × p⁶ = p²⁴
b) p⁴ × p⁶ = p¹⁰
c) p⁴ × p⁶ = p⁶
d) p⁴ × p⁶ = 2p¹⁰

Question 7. Evaluate 4⁶ using a power-of-a-power idea.

a) (4²)³ = 4096
b) (4³)² = 4096
c) Both (a) and (b) are correct
d) None is correct

Question 8. In "Magical Pond", the pond is completely full on the 30th day and the number doubles daily. On which day is it half full?

a) 15th day
b) 29th day
c) 30th day
d) 31st day

Question 9. Damayanti puts 1 lotus into a doubling pond for 4 days, then transfers all lotuses into a tripling pond for 4 more days. How many lotuses finally?

a) 2⁴ × 3⁴
b) 2⁸ × 3⁴
c) 2⁴ × 3⁸
d) 6⁸

Question 10. Simplify 2⁵ × 5⁵.

a) 10¹⁰
b) 10⁵
c) (2/5)⁵
d) 7⁵

Question 11. Roxie has 7 dresses, 2 hats, and 3 pairs of shoes. How many outfits are possible?

a) 12
b) 21
c) 42
d) 63

Question 12. A 5-digit lock uses digits 0–9 in each place. How many passwords are possible?

a) 10⁴
b) 10⁵
c) 5¹⁰
d) 10 × 5

Question 13. A lock has 6 slots, each can be any letter A–Z. How many passwords are possible?

a) 26⁶
b) 6²⁶
c) 10⁶
d) 26 × 6

Question 14. Simplify 2¹⁰⁰ ÷ 2²⁵ in exponential form.

a) 2²⁵
b) 2⁷⁵
c) 2¹²⁵
d) 2⁴

Question 15. If x ≠ 0, then x⁰ equals:

a) 0
b) x
c) 1
d) undefined

Question 16. Convert 2⁻⁶ into a fraction.

a) 64
b) 1/6
c) 1/64
d) 2/6

Question 17. Write 561.903 using powers of 10 (one correct option).

a) (5 × 10²) + (6 × 10¹) + (1 × 10⁰) + (9 × 10⁻¹) + (0 × 10⁻²) + (3 × 10⁻³)
b) (5 × 10³) + (6 × 10²) + (1 × 10¹) + (9 × 10⁻¹) + (3 × 10⁻²)
c) (561 × 10³) + (903 × 10⁻³)
d) (5 × 10²) + (61 × 10¹) + (903 × 10⁻³)

Question 18. Express 70,04,00,00,000 in standard form (scientific notation).

a) 7.004 × 10⁹
b) 7.004 × 10¹⁰
c) 70.04 × 10⁹
d) 0.7004 × 10¹¹

Question 19. The global starling population is about 1.3 billion. Fill the blank in scientific notation: 1.3 billion = ________

a) 1.3 × 10⁸
b) 1.3 × 10⁹
c) 13 × 10⁸
d) 0.13 × 10¹⁰

Question 20. If the estimated ant population is 2 × 10¹⁶ and humans are 8.2 × 10⁹, ants per human is closest to:

a) 2.4 × 10⁵
b) 2.4 × 10⁶
c) 2.4 × 10⁷
d) 2.4 × 10⁸

Maths Chapter 2 Power Play Worksheet Answers

Question 1: A paper has thickness 0.001 cm and doubles every fold. Which expression gives the thickness after n folds?

Given
  • Initial thickness = 0.001 cm
  • Each fold multiplies thickness by 2
Hint
  • Doubling n times means multiplying by 2ⁿ.
  • Thickness = initial × 2ⁿ.
Final Answer: c) 0.001 × 2ⁿ cm

Question 2: The thickness after 10 folds is 1.024 cm. What is the multiplication factor from fold 10 to fold 20?

Given
  • Every fold doubles thickness.
Hint
  • From 10 to 20 folds is 10 more doublings → factor = 2¹⁰.
  • 2¹⁰ = 1024.
Final Answer: d) 1024

Question 3: Using 0.001 cm initial thickness, the thickness after 46 folds is closest to:

Given
  • Thickness = 0.001 × 2⁴⁶ cm
Hint
  • 2⁴⁶ ≈ 7 × 10¹³.
  • 0.001 cm = 10⁻³ cm, so thickness ≈ 7 × 10¹⁰ cm.
  • Since 10⁵ cm = 1 km, this is ≈ 7 × 10⁵ km = 7,00,000 km.
Final Answer: c) 7,00,000 km

Question 4: In "Stones that Shine", the number of rooms is written as 3⁴. How many rooms are there?

Given
  • 3⁴ = 3 × 3 × 3 × 3
Hint
  • Compute: 3×3=9, 9×3=27, 27×3=81.
Final Answer: b) 81

Question 5: In the same story, the total number of diamonds is 3⁷. What is its value?

Given
  • 3⁷ = 3⁴ × 3³
Hint
  • 3⁴ = 81 and 3³ = 27, so 3⁷ = 81×27 = 2187.
Final Answer: a) 2187

Question 6: Which is the correct simplification?

Given
  • Same base rule: nᵃ × nᵇ = nᵃ⁺ᵇ
Hint
  • p⁴ × p⁶ = p¹⁰.
Final Answer: b) p⁴ × p⁶ = p¹⁰

Question 7: Evaluate 4⁶ using a power-of-a-power idea.

Given
  • (nᵃ)ᵇ = nᵃᵇ
Hint
  • 4⁶ = (4²)³ and also = (4³)², both equal 4096.
Final Answer: c) Both (a) and (b) are correct

Question 8: In "Magical Pond", the pond is completely full on the 30th day and the number doubles daily. On which day is it half full?

Given
  • Doubling each day.
Hint
  • If day 30 is full, day 29 must be half (one doubling away).
Final Answer: b) 29th day

Question 9: Damayanti puts 1 lotus into a doubling pond for 4 days, then transfers all lotuses into a tripling pond for 4 more days. How many lotuses finally?

Given
  • After 4 days doubling: 1 × 2⁴
  • Next 4 days tripling: multiply by 3⁴
Hint
  • Total = 2⁴ × 3⁴.
Final Answer: a) 2⁴ × 3⁴

Question 10: Simplify 2⁵ × 5⁵.

Given
  • Rule: mᵃ × nᵃ = (mn)ᵃ
Hint
  • 2⁵ × 5⁵ = (2×5)⁵ = 10⁵.
Final Answer: b) 10⁵

Question 11: Roxie has 7 dresses, 2 hats, and 3 pairs of shoes. How many outfits are possible?

Given
  • Independent choices multiply.
Hint
  • 7 × 2 × 3 = 42.
Final Answer: c) 42

Question 12: A 5-digit lock uses digits 0–9 in each place. How many passwords are possible?

Given
  • Each digit has 10 choices.
Hint
  • Total = 10 × 10 × 10 × 10 × 10 = 10⁵.
Final Answer: b) 10⁵

Question 13: A lock has 6 slots, each can be any letter A–Z. How many passwords are possible?

Given
  • Each slot has 26 choices.
Hint
  • Total = 26⁶.
Final Answer: a) 26⁶

Question 14: Simplify 2¹⁰⁰ ÷ 2²⁵ in exponential form.

Given
  • Rule: nᵃ ÷ nᵇ = nᵃ⁻ᵇ
Hint
  • 2¹⁰⁰ ÷ 2²⁵ = 2⁷⁵.
Final Answer: b) 2⁷⁵

Question 15: If x ≠ 0, then x⁰ equals:

Given
  • xᵃ ÷ xᵃ = x⁰
Hint
  • Any non-zero number divided by itself is 1, so x⁰ = 1.
Final Answer: c) 1

Question 16: Convert 2⁻⁶ into a fraction.

Given
  • n⁻ᵃ = 1 / nᵃ
Hint
  • 2⁻⁶ = 1 / 2⁶ = 1/64.
Final Answer: c) 1/64

Question 17: Write 561.903 using powers of 10 (one correct option).

Given
  • 561.903 = 561 + 0.903
Hint
  • Hundreds, tens, ones use 10², 10¹, 10⁰.
  • Tenths, hundredths, thousandths use 10⁻¹, 10⁻², 10⁻³.
Final Answer: a) (5 × 10²) + (6 × 10¹) + (1 × 10⁰) + (9 × 10⁻¹) + (0 × 10⁻²) + (3 × 10⁻³)

Question 18: Express 70,04,00,00,000 in standard form (scientific notation).

Given
  • 70,04,00,00,000 = 70,040,000,000
Hint
  • Move decimal after first digit: 7.004
  • Count places moved: 10 places → × 10¹⁰
Final Answer: b) 7.004 × 10¹⁰

Question 19: The global starling population is about 1.3 billion. Fill the blank in scientific notation: 1.3 billion = ________

Given
  • 1 billion = 10⁹
Hint
  • So 1.3 billion = 1.3 × 10⁹.
Final Answer: b) 1.3 × 10⁹

Question 20: If the estimated ant population is 2 × 10¹⁶ and humans are 8.2 × 10⁹, ants per human is closest to:

Given
  • (2 × 10¹⁶) ÷ (8.2 × 10⁹)
Hint
  • Divide coefficients: 2 ÷ 8.2 ≈ 0.244
  • Subtract powers: 10¹⁶ ÷ 10⁹ = 10⁷
  • So ≈ 0.244 × 10⁷ = 2.44 × 10⁶
Final Answer: b) 2.4 × 10⁶

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