Sharing in a ratio
Maths, Ratio. Usually met in years 7 to 10.
Simplify ratios, share amounts in a ratio, and combine ratios that share a part.
What you practise
- Simplifying ratios
- Sharing in a ratio
- Combining two ratios
Builds from two-part shares to three-part ratios and linked ratios. Practice moves up a level when a round goes well and down when it does not.
Sample questions
Each sample comes with the method and the reason every wrong option is wrong. Real practice rounds are ten questions at your level.
Sample question, level 2 of 5
£220 is shared in the ratio 4 : 6. How much is the larger share?
- £110
- £36.67
- £88
- £22
- £132
Show the answer and method
Answer: E, £132
The method: There are 4 + 6 = 10 parts. One part is £220 ÷ 10 = £22. The larger share is 6 parts: 6 × £22 = £132.
Why the other options are wrong:
- A, £110: The total was split equally.
- B, £36.67: The total was divided by 6 instead of by the number of parts.
- C, £88: This is the smaller share.
- D, £22: This is the value of one part, not the larger share.
Sample question, level 4 of 5
£132 is shared between Ann, Bo and Cy in the ratio 2 : 3 : 6. How much does Bo get?
- £72
- £44
- £12
- £36
- £24
Show the answer and method
Answer: D, £36
The method: There are 2 + 3 + 6 = 11 parts. One part is £132 ÷ 11 = £12. Bo gets 3 parts: £36.
Why the other options are wrong:
- A, £72: This is Cy's share.
- B, £44: The total was split into three equal shares.
- C, £12: This is the value of one part.
- E, £24: This is Ann's share.
See where this fits: GCSE maths with AQA and Key Stage 3.
Related topics: Speed, distance, time.
