Lesson N7

N7 Calculating with roots and integer indices Quiz: AQA Maths, Unit 1

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson N7, Calculating with roots and integer indices: 20 multiple choice questions for the AQA GCSE Maths (8300), Unit 1: Number, written with Revision Ninja.

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The 20 questions

  1. What is 10⁰?

    • 10
    • 1
    • 0
    • 100

  2. What is 2⁻¹?

    • 2
    • -1/2
    • -2
    • 1/2

  3. Simplify 2³ × 2⁴.

    • 2¹²
    • 2¹
    • 4⁷
    • 2⁷

  4. Simplify a⁵ ÷ a².

    • a¹⁰
    • a⁷
    • a²·⁵
    • a³

  5. Simplify (x³)².

    • x⁸
    • x⁵
    • x⁹
    • x⁶

  6. Calculate √16 × √25.

    • 20
    • 400
    • 5
    • 41

  7. Calculate √(64 + 36).

    • 28
    • 14
    • 100
    • 10

  8. Calculate (1/2)⁻².

    • 4
    • 2
    • 1/4
    • -4

  9. Simplify 5⁶ ÷ 5⁶.

    • 1
    • 30
    • 5
    • 0

  10. Calculate 2³ ÷ 2⁵ and give the answer as a fraction.

    • 1/4
    • 8
    • 4
    • 1/8

  11. Calculate ∛27 + √4.

    • 7
    • 9
    • 5
    • 6

  12. Calculate 4⁻¹.

    • -4
    • 1/4
    • -1/4
    • 4

  13. Simplify (2a²b)³.

    • 8a⁵b³
    • 6a⁶b³
    • 8a⁶b³
    • 2a⁶b³

  14. Calculate 3 × 10⁴ ÷ 10².

    • 300
    • 3000
    • 30
    • 3 × 10⁶

  15. Calculate √2.25.

    • 1.25
    • 1.5
    • 4.5
    • 0.5

  16. Calculate 2⁵ × 5².

    • 800
    • 1024
    • 700
    • 160

  17. Simplify x⁴ × x⁻⁶.

    • x⁻¹⁰
    • x²
    • x⁻²
    • x¹⁰

  18. Calculate 9 ÷ 3⁻².

    • 27
    • 3
    • 1/3
    • 81

  19. A square tile has an area of 2.89 m². What is the side length of the tile?

    • 1.45 m
    • 1.7 m
    • 8.67 m
    • 0.85 m

  20. A bacteria population doubles every hour. After 5 hours, how many times the starting population is it?

    • 32
    • 25
    • 10
    • 64

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