Lesson 1.06a

1.06a Exponential functions Quiz: OCR Maths, Unit 6

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 1.06a, Exponential functions: 20 multiple choice questions for the OCR Maths (H240), Unit 6: Exponentials and Logarithms, written with Revision Ninja.

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The 20 questions

  1. What is the y-intercept of the graph y = a^x for any positive constant a?

    • (0, 1)
    • (0, a)
    • (0, 0)
    • (1, 0)

  2. What is the value of e^0?

    • 0
    • -1
    • 1
    • e

  3. What is the horizontal asymptote of y = e^x as x tends to minus infinity?

    • y = 0
    • y = -1
    • y = 1
    • x = 0

  4. For 0 < a < 1, the function y = a^x is:

    • strictly increasing
    • strictly decreasing
    • periodic
    • an even function

  5. Values 3, 6, 12 of y = 3 x 2^n for n = 0, 1, 2 form a geometric sequence with common ratio:

    • 6
    • 3
    • 1/2
    • 2

  6. What is e^(ln 7)?

    • ln 7
    • e^7
    • 7
    • 1

  7. A population is P = 500 e^(0.03t). Approximately what is P when t = 10?

    • 500
    • 675
    • 650
    • 740

  8. For populations A = 200 x 1.1^t and B = 500 x 1.05^t, which initial population is larger?

    • Neither
    • Population B
    • Both are equal
    • Population A

  9. Find the value of e^(-2) to 3 significant figures.

    • 0.135
    • 0.368
    • -0.135
    • 7.389

  10. Find 0.5^x at x = 3.

    • 8
    • 0.125
    • 0.375
    • 0.5

  11. A sum of 1000 pounds is invested at 5% per year with continuous compounding for 2 years. What is the value?

    • 1102.50 pounds
    • 1105.17 pounds
    • 1100.00 pounds
    • 1051.27 pounds

  12. A curve y = k a^x passes through (0, 4) and (2, 36). What is a?

    • 4
    • 3
    • 2
    • 9

  13. What key factor causes real population growth to deviate from an unbounded exponential model?

    • Finite resources
    • Zero birth rate
    • Constant death rate
    • Infinite capacity

  14. Solve e^x = e^(-2x).

    • x = -1
    • x = ln 3
    • x = 1/3
    • x = 0

  15. How many real solutions does 2^x = 3^x have?

    • Infinitely many
    • Two, at x = 0 and x = 1
    • One, at x = 0
    • None

  16. If ln x = 2, what is x?

    • ln 2
    • 2e
    • e^2
    • 2

  17. A quantity doubles every 3 years. Which expression gives the amount after t years if it starts at 5?

    • 5 x 2^(3t)
    • 5 x (t/3)^2
    • 5 + 2^(t/3)
    • 5 x 2^(t/3)

  18. At what point does the graph of y = e^x cross the y-axis?

    • (1, 0)
    • (0, 1)
    • (0, e)
    • (0, 0)

  19. What is the y-intercept of y = 5 x 3^x?

    • 5
    • 0
    • 3
    • 1

  20. Give the value of e^1 to 2 decimal places.

    • 2.00
    • 1.00
    • 3.14
    • 2.72

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