Year 8 Ratio and Proportion Worksheet - Beginner

Year 8 Ratio and Proportion worksheet for Year 8 (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 and Proportion: The Unitary Method in Action

Year 8 (ages 12–13) | Beginner

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Instructions: Work through the activities in order. For each problem, show the key steps: find the value of one unit, then scale up or down as needed. Include units in your answers and use the exchange rates supplied.

Find the Value of One

Use the unitary method. First divide to find the value of one item or one unit, then multiply by the number required. Show your working and include units.

1. 4 notebooks cost £6. Find the cost of 1 notebook, then the cost of 7 notebooks.

2. 3 kg of apples cost £7.50. Find the cost of 1 kg, then the cost of 5 kg.

3. A cyclist travels 36 km in 3 hours at a constant speed. How far will the cyclist travel in 5 hours?

4. 8 metres of ribbon cost £12. Find the cost of 1 metre, then the cost of 6 metres.

Which Is the Best Buy?

Compare the prices fairly by finding the cost per item or per kilogram. Show the unit-price calculation before choosing the better value. Assume the products are the same quality.

1. Which is better value: 6 yoghurt pots for £2.10 or 4 pots for £1.48? Give the cost per pot for each pack.

2. Which is better value: 2 kg of rice for £3.20 or 3 kg for £4.35? Give the cost per kilogram for each bag.

3. Which is better value: 5 pens for £2.75 or 8 pens for £4.16? Give the cost per pen for each pack.

4. Which is better value: 750 g of cereal for £2.40 or 1 kg for £3.10? Give the cost per kilogram for each box.

Reading Map Scales

For each scale, convert the map distance to the real distance. Multiply by the scale factor, then convert units if needed. Write each answer in the unit requested.

1. A map scale is 1 cm represents 4 km. Two villages are 6 cm apart on the map. What is the real distance in kilometres?

2. A walking map uses the scale 1 cm represents 500 m. A path measures 7 cm. What is its real length in metres?

3. On a map, 1 cm represents 3 km. The real distance between two towns is 24 km. How far apart should they be on the map, in centimetres?

4. A scale drawing uses 1 cm to represent 2 m. A wall is 9 cm long on the drawing. What is the actual wall length in metres?

Convert Units, Then Compare

Convert the quantities into the same units before comparing or calculating. Use 1 kg = 1,000 g and 1 litre = 1,000 ml. Show your conversion and include the final unit.

1. A recipe needs 1.5 kg of flour. How many grams is this?

2. A bottle contains 750 ml of juice. How many litres is this?

3. A 2.4 m ribbon is cut into pieces that are each 30 cm long. How many pieces can be made?

4. A parcel has a mass of 3,250 g. Write its mass in kilograms.

Currency Conversion

Use the exchange rates in the table; treat them as fixed rates with no fees. Multiply to convert pounds into foreign currency, and divide to convert foreign currency into pounds. Round money answers to the nearest penny where appropriate.

Currency	Rate for £1	Foreign amount
Euro	€1.20	€18
US dollar	$1.25	$30
Japanese yen	¥190	¥950

1. Convert £15 into euros.

2. Convert $30 into pounds.

3. Convert £8 into Japanese yen.

4. Convert €18 into pounds.

Answer Key

Activity 1: 1. £1.50 per notebook; £10.50 for 7 ; 2. £2.50 per kg; £12.50 for 5 kg ; 3. 60 km ; 4. £1.50 per metre; £9 for 6 metres

Activity 2: 1. £0.35 per pot; £0.37 per pot; 6-pack is better value ; 2. £1.60 per kg; £1.45 per kg; 3 kg bag is better value ; 3. £0.55 per pen; £0.52 per pen; 8-pack is better value ; 4. £3.20 per kg; £3.10 per kg; 1 kg box is better value

Activity 3: 1. 24 km ; 2. 3,500 m ; 3. 8 cm ; 4. 18 m

Activity 4: 1. 1,500 g ; 2. 0.75 litres ; 3. 8 pieces ; 4. 3.25 kg

Activity 5: 1. €18 ; 2. £24 ; 3. ¥1,520 ; 4. £15