Lesson F1

F1 Exponential and natural logarithm functions and graphs Quiz: AQA Maths, Unit 6

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

In partnership with Revision Ninja

Lesson F1, Exponential and natural logarithm functions and graphs: 20 multiple choice questions for the AQA Maths (7357), Unit 6: Exponentials and logarithms, written with Revision Ninja.

Host it live on the board and students join with a game code on their own devices, or revise alone with Free Play. The answers are revealed in the game.

Host this setFree Play

The 20 questions

  1. Where does the graph of y = aˣ (where a > 1) cross the y-axis?

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

  2. What is the horizontal asymptote of the graph y = eˣ?

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

  3. For what range of values of a is the exponential function y = aˣ decreasing?

    • a > 1
    • a = 1
    • a < 0
    • 0 < a < 1

  4. What is the value of ln(e^3)?

    • 3
    • 1/3
    • ln 3
    • e^3

  5. What is the value of ln 1?

    • undefined
    • 1
    • e
    • 0

  6. What is the domain of the natural logarithm function y = ln x?

    • x > 0
    • x < 0
    • x ≥ 0
    • All real x

  7. What are the coordinates of the x-intercept of y = ln x?

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

  8. Which point lies on the graph of y = e^x?

    • (2, ln 2)
    • (ln 2, 2)
    • (2, e^2)
    • (e, 2)

  9. Which point lies on the graph of y = 2^x?

    • (8, 3)
    • (3, 6)
    • (3, 8)
    • (3, 9)

  10. The graph of y = e^(-x) is a reflection of y = e^x in which line?

    • The x-axis
    • The line y = x
    • The y-axis
    • The line y = -x

  11. Solve e^x = 5, giving x to 3 decimal places.

    • 5.000
    • 1.609
    • 0.699
    • 2.322

  12. What is the value of e^(ln 7)?

    • e^7
    • 14
    • 7
    • ln 7

  13. The graph of y = ln x is reflected in the line y = x. Which function is the image?

    • y = e^x
    • y = ln(-x)
    • y = 1/ln x
    • y = x^e

  14. Describe the translation that maps the curve y = eˣ onto y = eˣ⁻².

    • 2 units down
    • 2 units right
    • 2 units left
    • 2 units up

  15. Solve the inequality e^x > 10.

    • x > 10 ln e
    • x < ln 10
    • x > ln 10
    • x > 10/e

  16. For which values of x is ln(x^2 - 1) defined?

    • -1 < x < 1
    • All real x except x = 0
    • x < -1 or x > 1
    • x > 1 only

  17. What is the point of intersection between y = eˣ and y = 1?

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

  18. If (2, ln 2) lies on y = ln x, which point lies on y = e^x by reflection in the line y = x?

    • (e^2, 2)
    • (ln 2, 1/2)
    • (1/2, ln 2)
    • (ln 2, 2)

  19. The curve y = 2e^(-x) meets the y-axis at which y-value?

    • -2
    • 2
    • 0
    • e

  20. Which value of x makes y = ln(2x + 1) equal to zero?

    • x = 1/2
    • x = -1/2
    • x = 0
    • x = 1

All AQA Maths quizzes