This worksheet introduces ratios, teaching students to write, simplify and compare ratios, and to use them to divide a quantity into parts. The worksheet is split into warm-up questions, standard questions and then extension questions to test you.
The concepts it covers:
- A ratio compares two or more quantities of the same kind, written as a : b.
- A ratio is simplified the same way as a fraction: divide all parts by their highest common factor.
- To divide a quantity in a given ratio, add the parts to find the total number of "shares", then find the value of one share.
- Ratios stay equivalent when every part is multiplied or divided by the same number.
- Ratios are used in maps and scale drawings, recipes, mixing and sharing problems.
What your child will practise:
- Writing a ratio from a real-world comparison in the order the quantities are given.
- Simplifying a ratio by dividing every part by their highest common factor.
- Dividing a total in a given ratio: total ÷ (sum of parts) × each part.
- Using equivalent ratios to find an unknown quantity, e.g. by scaling up or down.
- Applying ratio reasoning to maps, mixtures and real-world sharing problems.
Every section opens with a worked example, and the download includes a full answer key with step-by-step solutions and teaching notes on the mistakes students most commonly make.
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