AQA · Mathematics · 8300

GCSE Maths: Money: Bills

Ratio & Proportion · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Money: Bills (Corbettmaths Video 400), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.

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  1. How do you calculate a bill with a fixed charge plus a rate per unit?

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    Total = fixed charge + (rate per unit × number of units).

  2. Bicycle hire costs £10 fixed plus £9 per day. What is the total for one week?

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    £73 — £10 + 7 × £9 = £10 + £63.

  3. 1608 units of electricity at 39p per unit cost how much in pounds?

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    £627.12 — 1608 × 0.39. Convert 39p to £0.39 before multiplying.

  4. A digger costs £125 per day for 9 days with a £500 deposit paid up front. How much is still owed on return?

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    £625 — 9 × £125 = £1125, minus the £500 deposit.

  5. A £28,000 car is paid at £425 per month for 5 years. What is the final payment?

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    £2,500 — 5 years = 60 months; 60 × £425 = £25,500; £28,000 − £25,500.

  6. How many months are in 5 years?

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    60 months (5 × 12).

  7. Electricity: £12 fixed per month plus 35p per unit; 1452 units used in a year. What is the annual charge?

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    £652.20 — 12 × £12 = £144, plus 1452 × £0.35 = £508.20.

  8. Someone paid £55 a month for electricity; the annual charge was £652.20. Had they paid enough?

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    Yes — 12 × £55 = £660, which is £7.80 more than £652.20.

  9. How do you find the hire time when given total cost, a fixed charge and an hourly rate?

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    Subtract the fixed charge from the total, then divide by the hourly rate.

  10. A limousine costs £47.75 per hour plus a £50 fixed charge. The total was £288.75. How many hours was it hired?

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    5 hours — (£288.75 − £50) ÷ £47.75 = £238.75 ÷ £47.75.

  11. How do you work out the miles driven from a car's mileage readings?

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    Subtract the starting mileage from the mileage on return.

  12. Car hire: 9 days at £55 per day, mileage from 19883 to 20666, and 72p per mile over 500 miles. What is the total cost?

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    £698.76 — 9 × £55 = £495; 783 miles driven, 283 extra miles × £0.72 = £203.76.

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