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Year 8

Finding a percentage with a multiplier

I can find a percentage of a quantity using a multiplier.

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New
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Year 8

Finding a percentage with a multiplier

I can find a percentage of a quantity using a multiplier.

Download all resources
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Share activities with pupils
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Lesson details

Key learning points

  1. A double number line can be used to find a percentage of a quantity.
  2. A ratio table can be used to find a percentage of an amount.
  3. A percentage can be written as a decimal called a multiplier.
  4. This multiplier can be used to find a percentage of an amount.

Keywords

  • Associative law - The associative law states that a repeated application of the operation produces the same result regardless of how pairs of values are grouped. We can group using brackets.

Common misconception

A single digit percentage is incorrectly worked out by dividing by 10 and not 100 e.g 3% = 0.3

Two responses can be used to remind students that to covert a percentage into a decimal; we divide by 100; using 3%, ask what 30% is as a decimal and 3% as a decimal. Pupils realise they cannot be the same. A place value chart also helps.

Using a multiplier is a more effective way to calculate a percentage of an amount. Can they write the calculation to work out 35% of 23% of 11% of 140? Alternatively, can they write a question for the calculation 0.62 x 0.78 x 0.56 x 950?
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

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Starter quiz

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6 Questions

Q1.
__________, __________, __________ and __________ all represent proportion and you can interchange between them; this means there are lots of different ways to work out a percentage of an amount.
Money, food, shopping and coins
Fractions, proper fractions, improper fractions and mixed numbers
Correct answer: Fractions, decimals, percentages and ratio
Positive numbers, negative numbers, squares and cubes
Q2.
1% is equivalent to the decimal .
Correct Answer: 0.01
Q3.
$$\frac{3}{50}$$ as a percentage is %.
Correct Answer: 6%, 6 %, 6
Q4.
Match each percentage to its decimal equivalent.
Correct Answer:15%,0.15

0.15

Correct Answer:21%,0.21

0.21

Correct Answer:9%,0.09

0.09

Correct Answer:90%,0.9

0.9

Correct Answer:0.9%,0.009

0.009

Correct Answer:1.5%,0.015

0.015

Q5.
What percentage of 98 is represented by this calculation: 98 − 9.8?
1%
10%
50%
Correct answer: 90%
99%
Q6.
51% of 400 is .
Correct Answer: 204

Exit quiz

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6 Questions

Q1.
What percentage is equivalent to the decimal 0.01?
0.01%
0.1%
Correct answer: 1%
10%
100%
Q2.
49% of 740 is .
Correct Answer: 362.6
Q3.
22% of 650 is .
Correct Answer: 143
Q4.
Match each percentage question with the correct calculation.
Correct Answer:53% of 900,0.53 × 900

0.53 × 900

Correct Answer:35% of 900,0.35 × 900

0.35 × 900

Correct Answer:2% of 900,0.02 × 900

0.02 × 900

Correct Answer:20% of 900,0.2 × 900

0.2 × 900

Q5.
27% of 830 is .
Correct Answer: 224.1
Q6.
The UK government distributed approximately £720 billion to the a number of sectors. How much money does "Transport" receive?
An image in a quiz
£14.4 billion
Correct answer: £28.8 billion
£93.6 billion
£144 billion