GCSE Mathematics (9-1)

6.4 Simple and compound interest — Practise

Work independently. Questions and answers below come from checked practice records.

  1. £500 is invested at 4% simple interest each year for 3 years. Work out the interest.
  2. £750 is invested at 2% simple interest each year for 5 years. Work out the final amount.
  3. £600 is invested at 5% compound interest for 2 years. Work out the final amount.
  4. Write the multiplier for 3% interest, compounded yearly.
  5. Find the final amount for £1000 at 6% for 2 years using simple interest, then compound interest.
  6. £2400 is invested at 3.5% simple interest for 4 years. Work out the interest and final amount.
  7. £1250 is invested at 2.4% compound interest for 3 years. Give the final amount to the nearest penny.
  8. A savings account pays 4% compound interest. Work out the balance of £800 after 4 years.
  9. Explain why compound interest gives more than simple interest after several years at a positive rate.
  10. £900 is invested at 3% compound interest for 5 years. Work out the increase in value to the nearest penny.
Answers and concise solutions

1. Simple interest

Answer: £60

2. Final amount

Answer: £825

3. Compound amount

Answer: £661.50

4. Annual multiplier

Answer: 1.03

5. Compare interest types

Answer: Simple: £1,120. Compound: £1,123.60.

6. Interest and amount

Answer: Interest £336; final amount £2,736.

7. Compound amount

Answer: £1,342.18

8. Balance

Answer: £935.89

9. Compare

Answer: Compound interest earns interest on earlier interest.

10. Increase

Answer: £143.35

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