Lesson 1.02a

1.02a Indices and surds Quiz: OCR Maths, Unit 2

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 1.02a, Indices and surds: 20 multiple choice questions for the OCR Maths (H240), Unit 2: Algebra and Functions, written with Revision Ninja.

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The 20 questions

  1. Which rule gives x^a x x^b?

    • x^(ab)
    • x^(a+b)
    • x^(a/b)
    • x^(a-b)

  2. Which expression equals (x^a)^b?

    • x^(a-b)
    • x^(b/a)
    • x^(a+b)
    • x^(ab)

  3. What is the value of x^0 for any non-zero x?

    • x
    • x^2
    • 1
    • 0

  4. Which expression equals x^(-a) for non-zero x?

    • -x^a
    • 1/(-x^a)
    • x^a
    • 1/x^a

  5. What is the surd form of x^(m/n)?

    • mth root of m^x
    • nth root of m^x
    • mth root of x^n
    • nth root of x^m

  6. What is the value of 8^(2/3)?

    • 2/3
    • 6
    • 16/3
    • 4

  7. What is the value of 27^(-1/3)?

    • 3
    • 1/3
    • 1/27
    • -3

  8. Simplify 2^5 x 2^(-2).

    • 8
    • 4
    • 2^(-10)
    • 2^7

  9. Simplify (x^3 y^(-2))^2.

    • x^5 y^(-4)
    • x^6 y^(-2)
    • x^9 y^(-4)
    • x^6 y^(-4)

  10. Simplify (4x^6)^(1/2), taking x > 0.

    • 2x^6
    • 4x^3
    • 2x^3
    • 16x^3

  11. Solve 2^x = 1/16.

    • x = 4
    • x = -2
    • x = -4
    • x = 1/4

  12. Solve 9^x = 27.

    • x = 9
    • x = 3
    • x = 2/3
    • x = 3/2

  13. Simplify (2x^(1/2))^3.

    • 8x^(1/6)
    • 6x^(3/2)
    • 2x^(3/2)
    • 8x^(3/2)

  14. Evaluate 16^(3/4).

    • 12
    • 8
    • 2
    • 64

  15. Simplify (a^(-1/2) b^(3/2)) / (a^(1/2) b^(-1/2)).

    • a/b^2
    • a b^2
    • b/a^2
    • b^2/a

  16. If 4^x = 2^(x+3), find x.

    • x = -3
    • x = 3
    • x = 6
    • x = 1.5

  17. Simplify (a^2 b)^3 / (a^4 b^(-2)).

    • a^6 b^(-2)
    • a^2 b
    • a^2 b^5
    • a^10 b^5

  18. Solve 2^(2x) - 5 x 2^x + 4 = 0.

    • x = 0 or x = 2
    • x = 0 or x = 4
    • x = 1 or x = 4
    • x = 2 only

  19. If 5^x = 2, what is 25^(x+1)?

    • 625
    • 10
    • 50
    • 100

  20. Simplify (x^(1/2) + x^(-1/2))^2 for x > 0.

    • x + 1/x
    • x + 1 + 1/x
    • x^2 + 2 + 1/x^2
    • x + 2 + 1/x

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