Year 7 Fractions Worksheet - Intermediate

Year 7 Fractions 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)•Fractionsintermediate

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Year 7 Fractions: Calculate, Find and Order

Key Stage 3 · Ages 11–12 · Intermediate

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Instructions: Show your working clearly and simplify each fraction where possible. For ordering questions, write the complete sequence in the requested order. Check that your answers are reasonable before moving on.

Add and subtract fractions

Find a common denominator before adding or subtracting. Simplify each answer fully and show your working.

1. 2/3 + 3/5 =

2. 7/8 − 1/6 =

3. 5/12 + 3/10 =

4. 11/15 − 2/9 = [3 marks each]

Work with mixed numbers

Convert to equivalent fractions where helpful. Give each final answer as a mixed number in its simplest form.

1. 1 1/4 + 2 2/3 =

2. 4 1/2 − 1 3/4 =

3. 2 5/6 + 1 3/8 =

4. 5 1/3 − 2 5/8 = [3 marks each]

Multiply and divide fractions

For multiplication, multiply the numerators and denominators, then simplify. For division, multiply by the reciprocal of the second fraction. Show your working.

1. 3/4 × 2/5 =

2. 5/6 × 3 =

3. 7/8 ÷ 2 =

4. 2/3 ÷ 4/5 = [3 marks each]

Fractions of amounts and quantities

To find a fraction of an amount, divide by the denominator and then multiply by the numerator. For a fraction of one quantity compared with another, write the first quantity over the second and simplify.

1. Find 3/5 of £40.

2. Find 7/8 of 56.

3. A box contains 18 red counters and 30 blue counters. What fraction of all the counters are red? Simplify your answer.

4. A recipe uses 150 g of flour and 250 g of sugar. Flour is what fraction of the mass of the sugar? Simplify your answer. [3 marks each]