GCSE · Ratio

Combining and relating ratiosExam-style questions

How to link two ratios that share a quantity into one three-part ratio, and how ratios connect to fractions and to the "1 : n" form.

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16 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 1 Level 2 Level 4 Level 5

1
$a : b = 2 : 3$ and $b : c = 3 : 5$ . Write $a : b : c$ .
Level 1 · 1 markTry it
2
$p : q = 3 : 4$ . Write $p$ as a fraction of the total of $p$ and $q$ .
Level 1 · 1 markTry it
3
$x : y = 1 : 2$ and $y : z = 4 : 3$ . Write $x : y : z$ in its simplest form.
Level 2 · 2 marksTry it
4
In a bag, red : blue counters $= 3 : 1$ and blue : green $= 2 : 5$ . Write red : blue : green.
Level 2 · 2 marksTry it
5
$a : b = 5 : 2$ and $b : c = 2 : 7$ . Given that $b = 6$ , find $a$ and $c$ .
Level 2 · 2 marksTry it

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