Victory 11+ Maths

11+ Ratio and Proportion Practice

Ratio questions test whether a child can compare parts, scale quantities and keep the relationship between numbers steady. Strong ratio confidence helps with word problems, percentages and later algebra.

Skills covered

Equivalent ratios
Scaling up and down
Part-to-part reasoning
Unit rates
Word problem setup

Common mistakes

Scaling only one side of the ratio
Mixing up part-to-part and part-to-whole
Using addition where multiplication is needed

Original practice examples

Sample questions with explanations

medium

Original sample

In a box of pencils, the ratio of blue pencils to yellow pencils is 4:7. If there are 28 yellow pencils, how many blue pencils are there?

12
16
20
24
Answer: 16. Seven parts represent 28 pencils, so one part is 4. Blue pencils are 4 parts, which is 4 x 4 = 16.

hard

Original sample

A drink is mixed using squash and water in the ratio 2:5. If 14 cups of water are used, how many cups of squash are needed?

4
5
6
7
Answer: 6. Five water parts equal 14 cups, so one part is 2.8. Two squash parts equal 5.6, so about 6 cups if whole cups are required.

Parents also ask

What ratio skills matter most for the 11+?

Children need to scale ratios, find missing parts and translate short word problems into a relationship between numbers.

How should my child practise ratio questions?

Start with untimed scaling questions, then move into mixed word problems and finally short timed sets.