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.

Start practising Read the lesson

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
$x : y = 1 : 2$ and $y : z = 4 : 3$ . Write $x : y : z$ in its simplest form.
Level 2 · 2 marksTry it
2
In a bag, red : blue counters $= 3 : 1$ and blue : green $= 2 : 5$ . Write red : blue : green.
Level 2 · 2 marksTry it
3
$a : b = 5 : 2$ and $b : c = 2 : 7$ . Given that $b = 6$ , find $a$ and $c$ .
Level 2 · 2 marksTry it
4
$m : n = 1 : 3$ and $n : k = 6 : 1$ . Write $m : n : k$ .
Level 2 · 2 marksTry it
5
$a : b = 2 : 3$ and $b : c = 4 : 5$

Work out $a : b : c$ (2 marks)
Level 2 · 2 marksTry it