Year 7 Ratio and Proportion Worksheet - Beginner

Year 7 Ratio and Proportion worksheet for Year 7 (Key Stage 3 / Year 7-9 (Ages 11-14)). Beginner 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 Proportionbeginner

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Ratio & Proportion: Build the Connections

Year 7 | Beginner | Ages 11–12

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Instructions: Work through the activities in order, showing your calculations in the answer spaces. A ratio compares parts in the order given: 2:3 means 2 parts to 3 parts. To simplify a ratio, divide both parts by the same number; to share an amount, add the ratio parts first.

Write and Simplify Ratios

Write each comparison using ratio notation in the order stated. For the simplification questions, divide every part by the same common factor. Show your working.

1. A bag contains 6 red counters and 9 blue counters. Write the ratio of red to blue in simplest form.

2. There are 12 boys and 8 girls in a club. Write the ratio of boys to girls in simplest form.

3. A fruit bowl has 10 apples and 15 pears. Write the ratio of apples to pears in simplest form.

4. A recipe uses 4 cups of oats and 6 cups of flour. Write the ratio of oats to flour in simplest form.

Share an Amount in a Ratio

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

1. Share £20 between Sam and Lee in the ratio 1:3.

2. Share 30 stickers between Ava and Ben in the ratio 2:3.

3. Share 42 apples between two boxes in the ratio 4:3.

4. Share 36 points between Team Red and Team Blue in the ratio 5:4.

Ratios and Fractions

Use the order named in each question. For a part-to-part ratio, add the parts to find the whole number of parts before writing a fraction of the total. Give fractions in their simplest form.

1. The ratio of cats to dogs at a shelter is 2:3. What fraction of the animals are cats?

2. A bag contains red and yellow beads in the ratio 4:1. What fraction of the beads are yellow?

3. The ratio of sunny days to cloudy days is 3:5. What fraction of the days are sunny?

4. A class has boys and girls in the ratio 5:7. What fraction of the class are girls?

Scale Up a Recipe

The quantities in the table make 4 pancakes. Use the same multiplier for every ingredient to make the requested number of pancakes. Write each new quantity with its unit.

Ingredient	For 4 pancakes	For 8 pancakes
Flour	120 g
Milk	200 ml
Eggs	2

1. How many grams of flour are needed for 8 pancakes?

2. How many millilitres of milk are needed for 8 pancakes?

3. How many eggs are needed for 8 pancakes?

Ratio in Everyday Problems

Identify the ratio or scale factor that links the quantities. Use multiplication or division to find the missing amount, and include units where appropriate.

1. Orange squash is mixed with water in the ratio 1:4. How many millilitres of water are needed for 150 ml of squash?

2. A map uses a scale of 1 cm to represent 5 km. What real distance does 3 cm represent?

3. A car travels 60 km using 4 litres of fuel. At the same rate, how far will it travel using 8 litres?

4. Two lengths are in the ratio 3:5. The shorter length is 12 cm. What is the longer length?

Answer Key

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

Activity 2: Sam £5, Lee £15 ; Ava 12 stickers, Ben 18 stickers ; first box 24 apples, second box 18 apples ; Team Red 20 points, Team Blue 16 points

Activity 3: 2/5 ; 1/5 ; 3/8 ; 7/12

Activity 4: 240 g ; 400 ml ; 4 eggs

Activity 5: 600 ml of water ; 15 km ; 120 km ; 20 cm