Year 7 Percentages Worksheet - Beginner

Year 7 Percentages 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)•Percentagesbeginner

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Percentages: Parts, Percents and Prices

Year 7 • Ages 11–12 • Beginner

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Instructions: Work through the activities in order, showing your working where you can. Use the examples and hints to help you choose a method; use a calculator only where the activity says you may. Give money answers in pounds and pence where needed.

Convert between fractions, decimals and percentages

Complete each conversion. Remember that percent means “out of 100”. For example, 0.25 = 25% = 1/4. Simplify fractions where possible.

1. Convert 0.6 to a percentage.

2. Convert 35% to a decimal.

3. Convert 1/4 to a decimal and a percentage.

4. Convert 0.8 to a simplified fraction and a percentage.

Find a percentage without a calculator

Use familiar percentages to make each calculation. Find 10% by dividing by 10, 1% by dividing by 100, and 5% by halving 10%. For example, 15% is 10% plus 5%.

1. Find 10% of 70.

2. Find 25% of 48.

3. Find 15% of 60.

4. Find 30% of 90.

Find a percentage with a calculator

Use a calculator for these questions. You can calculate a percentage of an amount by multiplying the amount by the percentage written as a decimal; for example, 12% of 50 = 0.12 × 50. Include units in your answers where appropriate.

1. Find 17% of 240.

2. Find 8% of £75.

3. Find 12% of 350.

4. Find 6% of 125.

Express one quantity as a percentage of another

Write the first quantity as a fraction of the second, then multiply by 100%. Check that the first quantity is smaller than or equal to the whole when a percentage up to 100% is expected.

1. 8 pupils out of 20 walk to school. What percentage of the pupils walk to school?

2. A team wins 12 matches out of 16. What percentage of its matches does it win?

3. A jug contains 15 litres of water and has a capacity of 60 litres. What percentage full is the jug?

4. Mia reads 18 pages of a 24-page chapter. What percentage of the chapter has she read?

Percentage discounts

Work out the discount first, then subtract it from the original price to find the sale price. For example, a 10% discount means paying 90% of the original price. Round money to the nearest penny if necessary.

1. A £40 bag is reduced by 10%. Find the discount and the sale price.

2. A £60 coat is reduced by 25%. Find the sale price.

3. A £24 game is reduced by 15%. Find the sale price.

4. A £35 pair of trainers is reduced by 20%. Find the discount and the sale price.

Answer Key

Activity 1: 60% ; 0.35 ; 0.25 and 25% ; 4/5 and 80%

Activity 2: 7 ; 12 ; 9 ; 27

Activity 3: 40.8 ; £6 ; 42 ; 7.5

Activity 4: 40% ; 75% ; 25% ; 75%

Activity 5: £4 discount, £36 sale price ; £45 ; £3.60 discount, £20.40 sale price ; £7 discount, £28 sale price