AQA · Mathematics · 8300
GCSE Maths: Money: Midpoint
Ratio & Proportion · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Money: Midpoint (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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How do you find the midpoint of two amounts of money?
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Add the two amounts together and divide by 2 (the midpoint is their mean).
What is the midpoint of £4 and £7?
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£5.50 — (£4 + £7) ÷ 2.
What is the midpoint of 80p and £3?
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£1.90 — convert to the same units first: (80p + 300p) ÷ 2 = 190p.
To equalise two amounts of money, how much must the richer person give?
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Half the difference between the two amounts.
Tyler has £8 and George has £20. How much must George give Tyler so they have equal amounts?
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£6 — the difference is £12, and half of £12 is £6 (each then has £14).
Tameka has £2.83 and Remi has 97p. How much should Tameka give Remi to equalise their money?
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93p — the difference is £1.86, and half of that is 93p.
Rebecca saves £11 a month for a year; Sarah saves £3 a week for a year. If they share the total equally, how much does each get?
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£144 — Rebecca saves £132 (11 × 12), Sarah saves £156 (3 × 52); £288 ÷ 2 = £144.
Two cars sell for £9750 and £12999. Shared equally between two people, how much does each receive?
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£11374.50 — (£9750 + £12999) ÷ 2 = £22749 ÷ 2.
Harry has £4. David gives him £9 and Edward gives him twice that. How much does Harry now have?
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£31 — £4 + £9 + £18.
How much is £600 worth after one year at 6% interest per annum?
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£636 — £600 × 1.06.
£600 at 6% and £800 at 7.5% for a year: how much must move from the second account to the first to equalise them?
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£112 — the accounts hold £636 and £860; the midpoint is £748, so transfer £860 − £748.
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