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
$a : b = 3 : 4$ and $b : c = 6 : 5$ . Work out $a : b : c$ , giving your answer in its simplest form.
Level 4 · 3 marksTry it
2
In a school orchestra, the ratio of violin players to flute players is $5 : 3$ .

The ratio of flute players to cello players is $2 : 1$ .

(a) Find the ratio of violin players to flute players to cello players. Give your answer in its simplest form.

(b) There are 38 players in the orchestra altogether.

Work out how many cello players there are.
Level 4 · 4 marksTry it
3
$a : b = 2 : 3$ and $b : c = 4 : 7$

Work out $a : b : c$ , giving your answer in its simplest form.
Level 4 · 3 marksTry it
4
In a fruit box, the ratio of apples to bananas is $5 : 2$ , and the ratio of bananas to cherries is $3 : 4$ .

(a) Work out the ratio apples : bananas : cherries in its simplest form.

The box contains $40$ cherries.

(b) How many apples does it contain?
Level 4 · 4 marksTry it