GCSE · Ratio

Ratio problems where the amounts changeExam-style questions

How to handle ratios where quantities are added, removed or transferred by writing the parts as multiples of a common number and solving for it.

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

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

1
In a car park, the ratio of cars to vans is 7 : 2. There are 45 more cars than vans. Work out the total number of vehicles in the car park.
Level 4 · 4 marksTry it
2
A recipe for 4 people uses flour and sugar in the ratio 5 : 2. The recipe for 4 people needs 350 g of flour. Work out how much sugar is needed to make the recipe for 6 people.
Level 4 · 4 marksTry it
3
At a show, the ratio of the number of adults to the number of children is 4 : 5. There are 216 people at the show in total. Then 40 more adults arrive. Work out the new ratio of adults to children. Give your answer in its simplest form.
Level 4 · 4 marksTry it
4
At a shelter, the ratio of dogs to cats is $9 : 4$ .

There are $35$ more dogs than cats.

Work out the total number of animals.
Level 4 · 3 marksTry it
5
A recipe for $6$ people uses butter and flour in the ratio $3 : 8$ .

The recipe for $6$ people needs $320$ g of flour.

Work out how much butter is needed for $9$ people.
Level 4 · 3 marksTry it

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