11+ Maths: Sharing Quantities in Given Ratios (GL & CEM style)
19 October 2026
What does sharing in a ratio mean
Sharing quantities in a given ratio is a key skill in 11+ maths, especially for GL and CEM style questions. It means dividing a total amount into parts that match the numbers in the ratio, so each share is fair and in proportion.
The step-by-step method
Start by adding the numbers in the ratio to find the total number of parts. Divide the total amount by this number to find the value of one part. Finally, multiply each ratio number by the value of one part to work out each share.
Practical example
Suppose you need to share 35 sweets in the ratio 2:5. Add the ratio numbers (2 + 5 = 7). One part is 35 ÷ 7 = 5. The shares will be 2 × 5 = 10 and 5 × 5 = 25. Always check your answer by adding the shares: 10 + 25 = 35.
Key insight: Ratios are about equal parts
The numbers in a ratio represent how many equal parts each person or group receives, not the actual quantities. Encourage your child to think in terms of parts, not just numbers.
Tips for supporting your child
Let your child practise with small objects at home, like counters or coins. Talk through each step and check answers together. If mistakes happen, calmly revisit the steps. Confidence grows with practice.
