Lesson 1.02z

1.02z Models in functions Quiz: OCR Maths, Unit 2

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 1.02z, Models in functions: 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. What term describes a simplifying condition made when creating a mathematical model?

    • Initial value
    • Boundary condition
    • Modelling assumption
    • Model refinement

  2. What process involves adjusting a mathematical model to make its predictions more realistic?

    • Interpolation
    • Extrapolation
    • Refinement
    • Integration

  3. A cost model is C = 5n + 200 for n items. What is the cost of 40 items?

    • 240
    • 400
    • 2000
    • 205

  4. A height model is h(t) = 20t - 5t^2 with t in seconds and h in metres. What is the maximum height?

    • 40 m
    • 10 m
    • 5 m
    • 20 m

  5. For the model h(t) = 20t - 5t^2, at what time does the object return to ground level?

    • 20 s
    • 2 s
    • 4 s
    • 5 s

  6. A population is modelled by P(t) = 500 x 1.1^t, with t in years. What is P(2)?

    • 600
    • 605
    • 1100
    • 550

  7. What type of growth does the linear population model N = 100 + 5t represent?

    • Constant additive growth
    • Constant percentage growth
    • Exponential growth
    • Decreasing growth

  8. If y is inversely proportional to x and y = 6 when x = 2, what is y when x = 4?

    • 1.5
    • 3
    • 6
    • 12

  9. Which type of model best suits the height of a projectile over time under gravity?

    • Linear
    • Reciprocal
    • Constant
    • Quadratic

  10. An average cost model is A(x) = 2 + 50/x. What is A(10)?

    • 7
    • 2
    • 5
    • 12

  11. For the model A(x) = 2 + 50/x, what does the average cost approach as x becomes very large?

    • 2
    • 0
    • infinity
    • 50

  12. A profit model is P(x) = -2x^2 + 40x - 100 for x >= 0. What is the maximum profit?

    • -100
    • 200
    • 50
    • 100

  13. A rectangle has perimeter 20 and width x, so its area is A(x) = x(10 - x) for 0 < x < 10. What is the maximum area?

    • 100
    • 50
    • 25
    • 10

  14. What term describes using a mathematical model to make predictions outside the domain of data?

    • Interpolation
    • Integration
    • Differentiation
    • Extrapolation

  15. A quantity is modelled by A(t) = 80 x 0.5^(t/3). What is A(6)?

    • 20
    • 0
    • 10
    • 40

  16. Revenue is R = 12x and cost is C = 4x + 240. At what number of items x is the break-even point?

    • 20
    • 240
    • 30
    • 60

  17. A model y = a + b/x fits (1, 5) and (2, 3). What is a?

    • 3
    • 1
    • 4
    • 5

  18. Two positive numbers have sum 10. What is the maximum possible value of their product?

    • 10
    • 100
    • 50
    • 25

  19. What type of percentage rate of growth does the model N = 100(1.05)^t assume?

    • Decreasing percentage growth
    • Linear growth
    • Constant additive growth
    • Constant percentage growth

  20. What is the minimum y-value of the quadratic function f(x) = x^2 - 6x + 13?

    • 13
    • 3
    • 4
    • -6

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