Use knowledge of calculating 50%, 10% and 1% of a number to solve problems in a range of contexts | Maths

Starter quiz

Percent means the number of parts in each ______.

'100' ✓
Look at the image. What is the missing numerator?

'20' ✓
$<Math> {5} \over {20} </Math> of the beads in the bracelet are purple. What percentage of the beads is this?$

${5} \over {20}$ of the beads in the bracelet are purple. What percentage of the beads is this?

5%

20%

25% ✓

50%
Match the percentages and fractions.

80%

⇔

${4} \over {5}$ ✓

70%

⇔

${7} \over {10}$ ✓

25%

⇔

${1} \over {4}$ ✓
Match the decimals and percentages.

0.19

⇔

19% ✓

0.09

⇔

9% ✓

0.9

⇔

90% ✓

0.3

⇔

30% ✓
Look at the sets of fractions, decimals and percentages. Which set is correct?

75% = 0.75 = ${2} \over {4}$

75% = 0.75 = ${3} \over {4}$ ✓

75% = 0.075 = ${3} \over {4}$

Exit quiz

How do we calculate the percentages shown here?

50% of a number

⇔

Halve the number ✓

10% of a number

⇔

Divide the number by 10 ✓

1% of a number

⇔

Divide the number by 100 ✓
One of the stages of the Tour de France race is 170 km long. Match the percentage of the race to the number of km.

100% of 170 km

⇔

170 km ✓

50% of 170 km

⇔

85 km ✓

10% of 170 km

⇔

17 km ✓

1% of 170 km

⇔

1.7 km ✓
A different stage of the Tour de France is 208 km long. If a rider has completed 1% of the race, how far have they ridden?

20.8 km

28 km

0.28 km

2.08 km ✓
If 100% of a number is 1,500, what is 1% of the number? ______

'15' ✓
If 10% of a number is 23.5, what is 100% of the number? ______

'235' ✓
50% of a number is 56 Use this fact to find the other percentages.

100%

⇔

112 ✓

10%

⇔

11.2 ✓

1%

⇔

1.12 ✓

Worksheet

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Lesson Details

Key learning points

To find 50% of a number, halve it.
To find 10% of a number, divide it by 10
To find 1% of a number, divide it by 100

Common misconception

Pupils may struggle when finding 10% or 1% of numbers that include zero.

Draw attention to zero being a placeholder within specific numbers. Some pupils may still need to use resources such as number cards and place value charts to physically move the digits to develop their confidence in dividing by 10 and 100

Keywords

Percentage - A percentage is a proportion of a whole.