Year 7 Fractions Worksheet - Beginner

Year 7 Fractions 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)•Fractionsbeginner

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Year 7 Fractions: Build, Calculate and Compare

Key Stage 3 • Ages 11–12 • Beginner

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Instructions: Work through the activities in order, showing your working where you can. Simplify each fraction when possible, and use equivalent fractions to make denominators the same when adding or subtracting. Check that your answers are sensible before moving on.

Add and Subtract Fractions

Find a common denominator before adding or subtracting. Simplify your final answer where possible. For mixed numbers, you may convert to improper fractions first.

1. 1/3 + 1/4 =

2. 5/6 − 1/4 =

3. 2/5 + 1/3 =

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

5. 3 1/3 − 1 1/2 =

Multiply and Divide Fractions

For multiplication, multiply the numerators and denominators, then simplify. For division, multiply by the reciprocal of the second fraction. Treat a whole number as a fraction with denominator 1.

1. 2/3 × 3/5 =

2. 3/4 × 8 =

3. 5/6 ÷ 2 =

4. 2/3 ÷ 4/5 =

5. 3 × 2/7 =

Fractions of Amounts

To find a fraction of an amount, divide by the denominator first, then multiply by the numerator. Write each calculation clearly and include the units where relevant.

1. Find 3/4 of 20.

2. Find 2/5 of 35.

3. Find 5/8 of 40.

4. A box contains 24 pencils. 1/3 are red. How many are red?

Express One Quantity as a Fraction of Another

Write the first quantity over the second quantity, then simplify the fraction. Make sure both quantities use the same units before forming the fraction.

1. Express 3 as a fraction of 12.

2. Express 8 cm as a fraction of 20 cm.

3. A group has 6 Year 7 pupils and 18 Year 8 pupils. What fraction of the group are Year 7 pupils?

4. A recipe uses 150 g of oats and 600 g of flour. What fraction of the flour amount is the oats amount?

Order Fractions, Decimals and Percentages

Convert each value to a common form, such as decimals or percentages, before ordering. Write the values in the requested order, keeping each fraction, decimal or percentage in its original form.

1. Put in ascending order: 1/2, 0.3, 40%.

2. Put in descending order: 3/4, 0.8, 65%.

3. Put in ascending order: 0.25, 1/3, 30%.

4. Put in descending order: 2/5, 45%, 0.35.

Answer Key

Activity 1: 7/12 ; 7/12 ; 11/15 ; 3 3/4 ; 1 5/6

Activity 2: 2/5 ; 6 ; 5/12 ; 5/6 ; 6/7

Activity 3: 15 ; 14 ; 25 ; 8 pencils

Activity 4: 1/4 ; 2/5 ; 1/4 ; 1/4

Activity 5: 0.3, 40%, 1/2 ; 0.8, 3/4, 65% ; 0.25, 30%, 1/3 ; 45%, 2/5, 0.35