Year 7 Ratio and Proportion Worksheet - Intermediate

Year 7 Ratio and Proportion worksheet for Year 7 (Key Stage 3 / Year 7-9 (Ages 11-14)). Intermediate level maths practice, aligned to the UK National Curriculum. Print-ready with answer key included.

Maths•Key Stage 3 / Year 7-9 (Ages 11-14)•Ratio and Proportionintermediate

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Ratio Rangers: Ratio and Proportion

Year 7 | Ages 11–12 | Intermediate

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Instructions: Work through each activity in order, showing your working in the answer spaces. Simplify ratios by dividing every part by the same factor, and use total parts when sharing a quantity. Check that your answers make sense in the context of each problem.

Write and Simplify Ratios

Write each comparison using ratio notation, in the order stated. Simplify each ratio fully by dividing both parts by their highest common factor. Include the units where they help explain the comparison.

1. A club has 12 Year 7 pupils and 18 Year 8 pupils. Write the ratio of Year 7 pupils to Year 8 pupils in its simplest form.

2. A drink is made with 8 parts apple juice and 12 parts water. Write the ratio of apple juice to water in its simplest form.

3. A box contains 15 red counters and 25 blue counters. Write the ratio of red counters to blue counters in its simplest form.

4. A recipe uses 300 g of flour and 200 g of sugar. Write the ratio of flour to sugar in its simplest form.

Share in a Given Ratio

Add the ratio parts to find the total number of parts. Divide the quantity by that total to find the value of one part, then multiply to find each share. Check that the shares add back to the original amount.

1. Share £36 between Aisha and Ben in the ratio 1:2. How much does each person receive?

2. Share 48 stickers between two teams in the ratio 5:3. How many stickers does each team receive?

3. Share 70 minutes of practice between passing and shooting in the ratio 4:3. How many minutes are spent on each activity?

4. Red and blue paint are mixed in the ratio 2:5. There are 42 litres of paint altogether. How many litres of each colour are used?

Ratios and Fractions

Use the order named in each question. A ratio compares parts; a fraction of the whole has the total number of ratio parts as its denominator. Simplify fractions where possible.

1. The ratio of cats to dogs at an animal shelter is 3:5. What fraction of the animals are cats?

2. The ratio of yellow beads to green beads is 2:7. What fraction of the beads are green?

3. A class has 12 pupils who walk to school and 8 who cycle. What fraction of these pupils cycle? Give your answer in its simplest form.

4. In a fruit bowl, the ratio of apples to pears is 4:1. What fraction of the fruit is apples?

Proportion in Recipes

Keep the recipe ratio constant when changing the number of portions. Find the scale factor between the original and new number of portions, then multiply each ingredient by that factor. Write the units in your answers.

1. A recipe for 4 portions uses 200 g of rice. How much rice is needed for 6 portions?

2. A smoothie recipe for 2 people uses 300 ml of milk and 2 bananas. How much milk and how many bananas are needed for 6 people?

3. A recipe for 5 pancakes uses 250 g of flour. How much flour is needed for 8 pancakes?

4. A soup recipe for 3 people uses 450 ml of stock. How much stock is needed for 7 people?

Ratio Reasoning Challenge

Set out a clear calculation for each problem. Use equivalent ratios or find the value of one part. For the final question, simplify the ratio before using it to find the missing quantity.

1. The ratio of adults to children on a trip is 2:7. There are 6 adults. How many children are there?

2. A map scale is 1 cm to 4 km. Two towns are 7 cm apart on the map. What is the actual distance between them?

3. A fruit drink is mixed using 1 part concentrate to 4 parts water. How much water is needed for 3 litres of concentrate?

4. The ratio of boys to girls in a club is 18:24. There are 14 girls. How many boys are there?

Answer Key

Activity 1: 2:3 ; 2:3 ; 3:5 ; 3:2

Activity 2: Aisha £12, Ben £24 ; 30 stickers and 18 stickers ; passing 40 minutes, shooting 30 minutes ; red 12 litres, blue 30 litres

Activity 3: 3/8 ; 7/9 ; 2/5 ; 4/5

Activity 4: 300 g ; 900 ml and 6 bananas ; 400 g ; 1,050 ml

Activity 5: 21 children ; 28 km ; 12 litres of water ; 10.5 boys