Lesson A14

A14 Plotting and interpreting graphs in real contexts Quiz: AQA Maths, Unit 2

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson A14, Plotting and interpreting graphs in real contexts: 20 multiple choice questions for the AQA GCSE Maths (8300), Unit 2: Algebra, written with Revision Ninja.

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The 20 questions

  1. A distance-time graph has a horizontal line segment. What does this show?

    • The object is moving at constant speed
    • The object is stationary
    • The object is moving backwards
    • The object is accelerating

  2. A car travels 60 m in 12 s at constant speed. What is its speed?

    • 12 m/s
    • 72 m/s
    • 5 m/s
    • 0.2 m/s

  3. A speed-time graph rises from 0 to 20 m/s in 10 s in a straight line. What is the acceleration?

    • 2 m/s squared
    • 0.5 m/s squared
    • 10 m/s squared
    • 20 m/s squared

  4. A conversion graph shows 10 km = 6.2 miles. Approximately how many miles is 20 km?

    • About 31 miles
    • About 6.2 miles
    • About 10 miles
    • About 12.4 miles

  5. A plan costs a fixed 10 pounds plus 2 pounds per item. What is the cost for 7 items?

    • 20 pounds
    • 14 pounds
    • 24 pounds
    • 70 pounds

  6. The graphs of y = x + 2 and y = 8 - x intersect at which point?

    • (4, 6)
    • (5, 3)
    • (3, 5)
    • (2, 8)

  7. On a distance-time graph the line becomes steeper over time. What does this show?

    • The object is stationary
    • The object is moving at constant speed
    • The object is slowing down
    • The object is speeding up

  8. A graph of water depth against time becomes horizontal. What does this show?

    • The tank has stopped filling or is full
    • The water is draining at a constant rate
    • The tank is filling faster
    • The tank has been emptied

  9. A graph of y = x^2 and y = 5 meets at x approximately 2.2. What does this give?

    • An exact solution of x^2 = 2.2
    • The gradient of y = x^2 at x = 5
    • A turning point of y = x^2
    • An approximate solution of x^2 = 5

  10. A velocity-time graph is constant at 6 m/s for 4 s. How far is travelled?

    • 24 metres
    • 4 metres
    • 6 metres
    • 10 metres

  11. A graph of pounds against euros is a straight line through the origin. What relationship does it show?

    • The two quantities are inversely proportional
    • The graph is a reciprocal relationship
    • The two quantities are directly proportional
    • The graph shows a fixed fee

  12. On a cooling curve, what shows that the rate of cooling is slowing?

    • The gradient gets less steep over time
    • The gradient gets steeper over time
    • The graph crosses the time axis
    • The graph becomes a straight line with gradient 1

  13. A taxi charges 3 pounds plus 1.50 pounds per mile. What is the fare for 4 miles?

    • 6 pounds
    • 12 pounds
    • 9 pounds
    • 7.50 pounds

  14. What does the y-intercept of a distance-time graph represent?

    • The acceleration of the object, shown by its curvature
    • The total time taken for the journey to be completed
    • The starting distance from the reference point
    • The speed of the object, given by the gradient

  15. A speed-time graph shows a constant 15 m/s for 20 s. How far is travelled?

    • 15 metres
    • 150 metres
    • 300 metres
    • 35 metres

  16. A car travels at 40 km/h for 2 hours. How far does it go?

    • 20 km
    • 40 km
    • 80 km
    • 42 km

  17. Which real situation is best modelled by a reciprocal graph?

    • Cost against number of items bought
    • Distance walked against time at a steady pace
    • Time taken to travel a fixed distance against speed
    • Height of a thrown ball against time

  18. Two cost lines intersect at 40 miles. What does this mean?

    • Both options cost the same for 40 miles
    • Option A is always cheaper
    • Both options have the same fixed fee
    • Option B costs nothing after 40 miles

  19. Plan A costs 15 pounds per month. Plan B costs 5 pounds plus 0.20 pounds per GB. At what usage do they cost the same?

    • 100 GB
    • 75 GB
    • 50 GB
    • 10 GB

  20. A journey of 150 km is made at 50 km/h. How long does it take?

    • 1 hour
    • 2.5 hours
    • 3 hours
    • 7500 hours

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