Percentages: Fractions, Decimals and Real-Life Maths
Year 6 • Ages 10–11 • Beginner
Instructions: Work through each activity in order. Use the examples and hints to help you, and show your method in the answer boxes where you can. Remember: 1% means one hundredth, and 10% is one tenth of an amount.
Equivalent Forms
Fractions, decimals and percentages can describe the same amount. Use the example 1/2 = 0.5 = 50% to guide you. Write the missing equivalent in each box.
1. 1/4 = 0.25 = %
2. 3/4 = = 75%
3. 1/5 = 0.2 = %
4. 1/10 = = 10%
5. 1/2 = = 50%
Match the Equivalent Values
Each value on the left is equivalent to one value on the right. Draw a line to match each pair. The answers on the right are in a different order.
Draw a line to match each one
Find a Percentage of an Amount
Use friendly percentages to work step by step. For example, find 10% by dividing by 10, then find 5% by halving 10%. Add them to find 15%. Show your working in each box.
1. Find 10% of 80.
2. Find 25% of 120.
3. Find 50% of 94.
4. Find 15% of 200.
5. Find 15% of 360.
Compare Percentages
Compare the two percentages in each question. Write <, > or = in the box. You can convert percentages to fractions or decimals to help you decide.
1. 50% 1/2
2. 0.25 30%
3. 3/4 70%
4. 10% 1/5
5. 0.6 60%
Percentage Comparisons in Context
Work out each percentage or compare the amounts carefully. For comparison questions, write the name of the person or item with the greater percentage in the box. Check that you are comparing percentages, not just the original totals.
1. A class has 20 pupils. 25% walk to school. How many pupils walk?
2. A £40 jumper is reduced by 10%. How many pounds are taken off the price?
3. Team A scored 18 goals from 30 shots. Team B scored 20 goals from 40 shots. Which team scored a greater percentage of its shots?
4. A shop sold 30% of 200 apples on Monday and 25% of 240 apples on Tuesday. On which day were more apples sold?
5. A bottle is 3/4 full. Is this more or less than 70% full?
Activity 1: 25 ; 0.75 ; 20 ; 0.1 ; 0.5
Activity 2: 1/2–0.5 ; 1/4–0.25 ; 3/4–0.75 ; 1/10–0.1 ; 1/5–0.2
Activity 3: 8 ; 30 ; 47 ; 30 ; 54
Activity 4: = ; < ; > ; < ; =
Activity 5: 5 pupils ; £4 ; Team A (60%, compared with Team B’s 50%) ; Tuesday (60 apples, compared with Monday’s 60 apples—equal; both days sold 60 apples) ; more
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