Practise simplifying ratios, sharing quantities and connecting ratios to fractions. Each example includes full working, with follow-on workouts and a teacher worksheet builder.
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The fraction represented by one share uses all the parts in its denominator. In a ratio a : b, the first share is a out of a + b parts.
Writing and Simplifying Ratio · No calculator · 1 marks
Write down the ratio 20 : 35 in its simplest form.
Writing and Simplifying Ratio · No calculator · 2 marks
Write down the ratio 45 cm : 1.5 m in its simplest form.
Ratio · Calculator allowed · 2 marks
In a gym class, the ratio of the number of men to the number of women is 4 : 5.
There are 20 men in the class.
Work out the total number of people in the class.
Choose your tier before starting. The workouts offer marked practice; these page examples do not change your saved results.
A bar model can help pupils explain what one part represents. Ask them to label the total and the separate shares before doing arithmetic.
The worksheet builder lets you choose 5 or 10 questions and replace individual questions. Download a compact starter or a full worksheet; worked solutions start on separate pages.