AQA · Mathematics · 8300
GCSE Maths: Flow Charts
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise for Flow Charts (Corbettmaths Video 364), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.
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A flow chart adds 1 to N until N is prime and N > 20. Starting at N = 15, what is printed?
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23. 17 and 19 are prime but not > 20, so the loop continues until 23.
What is the smallest number ≥ 30 divisible by both 8 and 6?
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48. Numbers divisible by both are multiples of LCM(8, 6) = 24; the first multiple ≥ 30 is 48.
A number divisible by both 8 and 6 must be a multiple of their LCM, ?.
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24
What is the smallest number greater than 20 that is both a square number and a cube number?
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64 (8² = 4³ = 64).
A number that is both a square and a cube is a ? power of an integer.
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sixth
Starting at a = 3, b = 1 and adding 1 to each until a² + b² > 90, what values are printed?
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a = 8, b = 6 (T = 64 + 36 = 100). The previous pair 7, 5 gives T = 74, which is not > 90.
Starting at a = 5, b = 3, c = 1 and adding 1 to each until c³ > 2a² + b², what values are printed?
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a = 11, b = 9, c = 7 (Q = 343 > P = 2×121 + 81 = 323). At 10, 8, 6: Q = 216 < P = 264, so the loop continues once more.
In a flow chart, what happens when a decision's 'No' branch points back to an earlier step?
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It creates a loop: the steps repeat until the decision's condition becomes true (the 'Yes' branch is taken).
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