6.4 Simple and compound interest — Practise
Work independently. Questions and answers below come from checked practice records.
- £500 is invested at 4% simple interest each year for 3 years. Work out the interest.
- £750 is invested at 2% simple interest each year for 5 years. Work out the final amount.
- £600 is invested at 5% compound interest for 2 years. Work out the final amount.
- Write the multiplier for 3% interest, compounded yearly.
- Find the final amount for £1000 at 6% for 2 years using simple interest, then compound interest.
- £2400 is invested at 3.5% simple interest for 4 years. Work out the interest and final amount.
- £1250 is invested at 2.4% compound interest for 3 years. Give the final amount to the nearest penny.
- A savings account pays 4% compound interest. Work out the balance of £800 after 4 years.
- Explain why compound interest gives more than simple interest after several years at a positive rate.
- £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