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Year 6 Percentages Worksheet - Intermediate

Year 6 Percentages worksheet for Year 6 (Key Stage 2 / Year 3-6 (Ages 7-11)). Intermediate level maths practice, aligned to the UK National Curriculum. Print-ready with answer key included.

Maths•Key Stage 2 / Year 3-6 (Ages 7-11)•Percentagesintermediate
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Percentages: Fractions, Decimals and Real-Life Comparisons

Year 6 • Ages 10–11 • Intermediate

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Instructions: Use the links between fractions, decimals and percentages to solve each activity. Show clear working in the answer boxes, especially when finding a percentage of an amount. Check that your comparisons use the same form before deciding which value is greater.

1

Match the Equivalences

Draw a line from each fraction on the left to its matching decimal and percentage on the right. Each right-hand option is used once.

Draw a line to match each one

1/2
0.2 = 20%
1/4
0.25 = 25%
3/4
0.75 = 75%
1/5
0.4 = 40%
2/5
0.5 = 50%
2

Complete the Equivalence Triangles

Complete each line by writing the missing decimal or percentage. Use the fraction as a clue, and check that all three values are equivalent.

1. 1/2 = ___ = 50%

2. 1/4 = 0.25 = ___

3. 3/4 = ___ = 75%

4. 1/5 = 0.2 = ___

5. 3/5 = ___ = 60%

3

Find the Percentage of an Amount

Use known percentages such as 10%, 5%, 25% and 50% to help you. For example, 15% is 10% plus 5%. Show your method in each box.

1. 10% of £240 =

2. 25% of 360 =

3. 15% of 360 =

4. 40% of 250 =

5. 5% of 480 =

4

Compare the Percentages

Work out each percentage of an amount, then compare the two results. Write >, < or = in the box between them.

1. 25% of 200 40% of 100

2. 15% of 300 20% of 200

3. 50% of 160 30% of 240

4. 10% of 450 25% of 180

5. 35% of 200 20% of 350

5

Percentage Shopping Comparisons

Find the saving or amount described by each percentage. Compare the results when asked, and include the correct unit in your answer.

1. A £40 bag is reduced by 25%. How many pounds are taken off the price?

2. A £60 coat is reduced by 15%. How many pounds are taken off the price?

3. Which saving is greater: 20% of £50 or 15% of £80? State both savings and the greater one.

4. A class has 30 pupils. 40% bring a packed lunch. How many pupils bring a packed lunch?

5. A shop sells 120 notebooks. 35% are blue. How many blue notebooks are sold?

Answer Key

Activity 1: 1/2–0.5 = 50% ; 1/4–0.25 = 25% ; 3/4–0.75 = 75% ; 1/5–0.2 = 20% ; 2/5–0.4 = 40%

Activity 2: 1. 0.5 ; 2. 25% ; 3. 0.75 ; 4. 20% ; 5. 0.6

Activity 3: 1. £24 ; 2. 90 ; 3. 54 ; 4. 100 ; 5. 24

Activity 4: 1. > ; 2. > ; 3. > ; 4. = ; 5. =

Activity 5: 1. £10 ; 2. £9 ; 3. 20% of £50 = £10, 15% of £80 = £12; the greater saving is £12 ; 4. 12 pupils ; 5. 42 notebooks

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