Lesson 1.04k

1.04k Sequences and series in modelling Quiz: OCR Maths, Unit 4

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 1.04k, Sequences and series in modelling: 20 multiple choice questions for the OCR Maths (H240), Unit 4: Sequences and Series, written with Revision Ninja.

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The 20 questions

  1. Which formula gives the value of P after n periods of compound growth at rate r per period?

    • P r^n
    • P + nr
    • P(1 + r)^n
    • P(1 - r)^n

  2. Which formula gives the total for simple interest on principal P at rate r for n periods?

    • P(1 + nr)
    • P(1 + r)^n
    • P(1 + n)^r
    • P + r

  3. What is £2000 invested at 4% compound interest worth after 2 years?

    • £2160.00
    • £2163.20
    • £2080.00
    • £2240.00

  4. A car loses 15% of its value each year. Starting from £20000, what is its value after 3 years?

    • £12282.50
    • £17000.00
    • £15000.00
    • £11000.00

  5. A savings balance starts at £400 and gains £150 each month. What is the balance after 12 months?

    • £2200
    • £2050
    • £1800
    • £2350

  6. A van worth £10000 loses £800 in value each year. What is it worth after 5 years?

    • £6000
    • £5200
    • £9200
    • £4000

  7. Monthly savings are £100 in month 1 and rise by £10 each month. What is the total saved over 12 months?

    • £1200
    • £1320
    • £2200
    • £1860

  8. A value falls to 60% of its previous value each year. What is £1000 worth after 4 years?

    • £60.00
    • £129.60
    • £216.00
    • £240.00

  9. What is the smallest whole number n for which 1000 x 1.05^n exceeds 2000?

    • 10
    • 15
    • 14
    • 20

  10. A ball dropped from 10 m rebounds to 60% of its previous height each bounce. What is the total distance travelled to infinity?

    • 25 m
    • 40 m
    • 16 m
    • 30 m

  11. A £500 deposit earns 6% compound interest per year. In which year does it first exceed £1000?

    • Year 11
    • Year 10
    • Year 6
    • Year 12

  12. Which model gives a higher value at n = 10: 1000 + 50n or 1000 × 1.03^n?

    • Both are equal
    • 1000 + 50n
    • Neither model
    • 1000 × 1.03^n

  13. £100 is saved at the start of each year for 3 years at 4% compound interest. What is the total value at the end of year 3?

    • £324.65
    • £340.00
    • £300.00
    • £312.00

  14. Payments of £50 a year fall by 10% each year, starting at £50. What is the total to infinity?

    • £450
    • £500
    • £100
    • £55.56

  15. A runner starts at 3 km and adds 2 km each week. In which week is the weekly distance 21 km?

    • Week 21
    • Week 10
    • Week 9
    • Week 11

  16. Which investment yields more interest on £1000 over 5 years: 5% simple or 4% compound?

    • Neither yields interest
    • 5% simple interest
    • Both yield equal
    • 4% compound interest

  17. A substance halves every 5 years. How much remains from 80 g after 15 years?

    • 5 g
    • 10 g
    • 20 g
    • 40 g

  18. How many consecutive integers starting from 1 have a sum of 210?

    • 105
    • 21
    • 19
    • 20

  19. £200 is deposited at the end of each year for 2 years at 3% per year. What is the value at the end of year 2?

    • £406
    • £412
    • £400
    • £404

  20. An amount increases by 3% then decreases by 3%. What is the net percentage change?

    • 3% decrease
    • 0.09% decrease
    • 0.09% increase
    • 0% change

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