AQA · Mathematics · 8300
GCSE Maths: Fractions: increasing by a fraction
Number · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Fractions: increasing by a fraction (Corbettmaths Video 141), 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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What is the method to increase a quantity by a fraction?
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Multiply the quantity by the fraction, then add that result to the original quantity.
What is the method to decrease a quantity by a fraction?
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Multiply the quantity by the fraction, then subtract that result from the original quantity.
If you increase £800 by 1/4, what is the result?
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£1000. (1/4 of £800 is £200, so £800 + £200 = £1000)
If you decrease 150kg by 1/5, what is the result?
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120kg. (1/5 of 150kg is 30kg, so 150kg - 30kg = 120kg)
If a house worth £140,000 in 2020 increased by 1/10 over five years, what is its value in 2025?
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£154,000. (1/10 of £140,000 is £14,000, so £140,000 + £14,000 = £154,000)
If Matthew weighed 81kg and his weight decreased by 1/9, what is his new weight?
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72kg. (1/9 of 81kg is 9kg, so 81kg - 9kg = 72kg)
If you increase 24 by 2/3, what is the result?
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40. (2/3 of 24 is 16, so 24 + 16 = 40)
If you decrease 36 by 3/4, what is the result?
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9. (3/4 of 36 is 27, so 36 - 27 = 9)
If Benjamin ran 20 miles in month 1 and increases distance by 3/10 each month, how far does he run in month 2?
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26 miles. (3/10 of 20 is 6, so 20 + 6 = 26)
If an island had a population of 2385 in 2000 and it decreased by 2/5 by 2025, what was the 2025 population?
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1431. (2/5 of 2385 is 954, so 2385 - 954 = 1431)
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