[discia] GCSE Maths › Ratio and Proportion › Simple Interest

Simple Interest

discia.org 10 questions · 35 marks
Name Date
  1. Either paper 3 marks

    Erin invests £4900 in a savings account.

    The account pays simple interest at 2% per year.

    Work out the total interest she earns after 6 years.

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    \(\text{£}588\)
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  2. Either paper 3 marks

    Tomas puts £5400 into a savings account.

    The account pays 3% simple interest per year.

    (a)

    Find the interest paid in one year.

    (b)

    Tomas takes nothing out of the account for 6 years.

    Calculate how much is in the account at the end of the 6 years.

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    (a) \(\text{£}162\)
    (b) \(\text{£}6372\)
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  3. Either paper 3 marks

    Erin puts £6400 into a deposit account.

    The account pays 5% simple interest per year.

    She leaves the money in for 15 months.

    Calculate the interest she earns.

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    \(£400.00\)
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  4. Either paper 3 marks

    Reuben invests £1000 for 7 years in an account that pays simple interest.

    At the end of the 7 years he has earned £245 in interest.

    Work out the annual rate of simple interest.

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    \(3.5\%\)
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  5. Either paper 3 marks

    Omar invests £1300 in an account paying 3% simple interest per year.

    He leaves the money in the account until it has earned £195 in interest.

    Calculate how many years the money is left in the account.

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    \(5\ \text{years}\)
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  6. Either paper 5 marks

    Nadia has \(£3000\) to invest.

    Redwood Bank pays \(4\%\) simple interest per year. She would leave the money there for \(4\) years.

    Halton Bank pays \(2\%\) simple interest per year. She would leave the money there for \(6\) years.

    (a)

    Work out the interest she would earn at Redwood Bank.

    (b)

    Work out the interest she would earn at Halton Bank.

    (c)

    State which bank pays the more interest, and how much more.

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    (a) \(£480.00\)
    (b) \(£360.00\)
    (c) Redwood Bank, by £120.00
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  7. Either paper 4 marks

    Zainab takes out a personal loan of £2900.

    She is charged simple interest at 10% per year, for 2 years. The loan is repaid in equal instalments, one every month for the whole term.

    Work out the fixed monthly repayment.

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    \(£145.00\)
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  8. Either paper 3 marks

    Tomas invests some money in a fixed-rate bond that pays 6% simple interest per year.

    After 2 years the bond matures. In total he receives £15008 — the original amount invested, plus all the interest earned.

    Find the amount he originally invested.

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    \(\text{£}13400\)
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  9. Either paper 3 marks

    Isla puts money into an investment. It pays a fixed rate of simple interest every year, and she leaves the money in for 2 years.

    Over that time, the total interest she earns is \(\dfrac{ 1 }{ 10 }\) of the amount she originally invested.

    Calculate the annual rate of simple interest.

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    \(5\ \%\)
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  10. Either paper 5 marks

    Sofia and Deniz share an inheritance of £10000 in the ratio \(4 : 1\) (Sofia to Deniz).

    Each of them puts their own share into a savings account that pays 2% simple interest per year.

    (a)

    Work out how much of the £10000 Sofia and Deniz each receive.

    (b)

    Sofia and Deniz both leave their money in the account for 3 years.

    Work out how much more interest Sofia earns than Deniz.

    Show answer
    (a) Sofia: £8000, Deniz: £2000
    (b) \(\text{£}360\)
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discia.org Simple Interest · sheet 1
Answers Simple Interest · sheet 1
  1. \(\text{£}588\)
  2. (a) \(\text{£}162\)
    (b) \(\text{£}6372\)
  3. \(£400.00\)
  4. \(3.5\%\)
  5. \(5\ \text{years}\)
  6. (a) \(£480.00\)
    (b) \(£360.00\)
    (c) Redwood Bank, by £120.00
  7. \(£145.00\)
  8. \(\text{£}13400\)
  9. \(5\ \%\)
  10. (a) Sofia: £8000, Deniz: £2000
    (b) \(\text{£}360\)
discia.org Simple Interest · sheet 1