AQA · Mathematics · 8300
GCSE Maths: Fractions: fraction of an amount
Number · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Fractions: fraction of an amount (Corbettmaths Video 137), 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 first step to calculate a fraction of an amount?
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Divide the amount by the denominator (bottom number of the fraction).
After dividing by the denominator when finding a fraction of an amount, what do you do next?
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Multiply the result by the numerator (top number of the fraction).
Katie has £1200 and gives 1/4 to her sister, then 1/3 of what remains to her brother. How much does Katie have left?
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£600. (She gives £300 to sister, leaving £900; then gives £300 to brother, leaving £600)
Why must a teacher be wrong if he says exactly 2/7 of 194 students are left-handed?
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Because 194 ÷ 7 = 27.71..., which is not a whole number, so you cannot have exactly 2/7 of 194 students.
James earns £800 a month, spends 1/4 on rent and 2/5 on food and bills. How much does he have left?
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£280. (£200 on rent + £320 on food/bills = £520 spent, so £800 − £520 = £280)
If 5/7 of 8,701 people are adults, how do you calculate the number of children?
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Find 2/7 of 8,701 (the remaining fraction), which equals 2,486 children.
A jar contains 520g. If the new packet contains one-fifth less, how much does it contain?
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416g. Calculate 1/5 of 520g (104g) and subtract from the original: 520 - 104 = 416g.
If 3/10 of 1,400 trains were late, how many were not late?
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980 trains. Find 7/10 of 1,400 (the complementary fraction) = 980.
A large coffee costs £3.20 and a medium costs 3/4 of that. What is the total cost of 5 large and 2 medium coffees?
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£20.80. Medium = £2.40 (3/4 of £3.20). Total = (5 × £3.20) + (2 × £2.40) = £16 + £4.80 = £20.80.
If 1/4 of 72 equals 2/3 of what number?
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27. Since 1/4 of 72 = 18, solve 2/3 × n = 18, so n = 27.
To find 'one-fifth less' than an amount, calculate ? of the amount and subtract it from the original.
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1/5
When an amount is increased by 1/4 then decreased by 1/4, what fraction of the original remains?
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15/16 or 0.9375 of the original. Calculate: (1 + 1/4) × (1 - 1/4) = 5/4 × 3/4 = 15/16.
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