Lesson T2.4.5

T2.4.5 Reading piece-wise, exponential and reciprocal graphs Quiz: KS3 Maths, Unit 2

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson T2.4.5, Reading piece-wise, exponential and reciprocal graphs: 20 multiple choice questions for the KS3 Maths (National Curriculum), Unit 2: Algebra, written with Revision Ninja.

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The 20 questions

  1. On a distance-time graph, what does a horizontal section mean?

    • The object is stationary (not moving)
    • The object is accelerating
    • The object is moving at constant speed
    • The object is moving backwards

  2. A phone plan costs £10 for the first 100 minutes, then 5p per minute after that. What is the cost of 120 minutes?

    • £11.00
    • £6.00
    • £10.20
    • £12.00

  3. A population starts at 100 and doubles every year. What is it after 3 years?

    • 800
    • 600
    • 400
    • 300

  4. What is the value of y = 2ˣ when x = 0?

    • 1
    • 0
    • 2
    • 3

  5. Which description fits the graph of y = 2ˣ for positive values of x?

    • It falls towards zero
    • It is a straight line with gradient 2
    • It rises faster and faster as x increases
    • It is a U-shape with a lowest point

  6. What is the value of y = 1/x when x = 4?

    • 0.25
    • 0.4
    • 0.5
    • 4

  7. Why can x not be 0 in the graph of y = 1/x?

    • y would always equal zero
    • The answer would always be negative
    • The graph would be a straight line
    • Division by zero is undefined

  8. In which quadrants does the graph of y = 1/x have its two curves?

    • Quadrants 2 and 4
    • Quadrants 3 and 4
    • Quadrants 1 and 2
    • Quadrants 1 and 3

  9. A parking charge is £20 for the first hour and £5 for each extra hour. What is the cost for 3 hours?

    • £30
    • £35
    • £25
    • £20

  10. A value starts at 80 and halves every year. What is it after 2 years?

    • 40
    • 20
    • 10
    • 160

  11. What is the name for a straight-line graph that changes gradient at one or more points?

    • A piece-wise linear graph
    • A quadratic graph
    • An exponential graph
    • A reciprocal graph

  12. As x gets very large, what does y = 1/x approach?

    • Infinity, growing without any limit
    • 1, the same as the value at x = 1
    • 0, getting closer but never reaching it
    • -1, alternating sign as x grows

  13. What is the value of y = 3ˣ when x = 2?

    • 6
    • 8
    • 9
    • 5

  14. A colony of 50 bacteria doubles every hour. How many are there after 4 hours?

    • 100
    • 800
    • 400
    • 200

  15. On a distance-time graph, what does a steeper section show?

    • The object is moving backwards
    • The object is moving faster
    • The object has stopped
    • The object is moving slower

  16. Which point lies on the graph of y = 12/x?

    • (3, 4)
    • (3, 3)
    • (2, 5)
    • (4, 4)

  17. A value of y = 2ˣ is compared with y = x² at x = 5. Which is larger?

    • They are equal at x = 5
    • y = x², giving 25 rather than 32
    • Neither can be calculated
    • y = 2ˣ, giving 32 rather than 25

  18. Where do the curve y = 1/x and the line y = x meet in the first quadrant?

    • (0.5, 0.5)
    • (4, 4)
    • (1, 1)
    • (2, 2)

  19. A value starts at £200 and triples every year. What is it after 2 years?

    • £1800
    • £1200
    • £900
    • £600

  20. Which equation describes a reciprocal graph?

    • y = 6x
    • y = 6 + x
    • y = 6x²
    • y = 6/x

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