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Simona buys a dress in the sales at 60% less than the marked price of £38.50. How much does she pay for it?

Level 5-6 Numbers - Percentages - Parts

Percentages describe parts of a whole. Learn to find a percent of a quantity, compare results, and explain changes clearly using simple multipliers.

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Fascinating Fact:

In exams, aiming to improve from 65 percent to 80 percent shows you’ve increased your correct answers by 15 percent of the total.

In KS3 Maths, you use percentages to describe parts of sets, test scores, and everyday quantities. You will convert between fractions, decimals, and percentages, and use multipliers to calculate results efficiently.

Key Terms

Percentage: A way to express a part out of 100, written with the % symbol.
Proportion: How much of the whole something is, often written as a fraction or percentage.
Multiplier: A number used to apply a percentage in one step, like 0.3 for 30% or 1.3 for a 30% increase.

Frequently Asked Questions (Click to see answers)

How do I find a percentage of a number in KS3 Maths?

Change the percentage to a decimal and multiply. For example, 35% of 240 is 0.35 × 240 = 84.

What is the easiest way to convert between fractions, decimals, and percentages?

Fraction to decimal: divide the numerator by the denominator. Decimal to percent: multiply by 100 and add %. Percent to decimal: divide by 100.

How do I compare two percentages fairly?

Use the same whole for both comparisons. Convert each to decimals or use multipliers so you are comparing like with like.

Try These Related Quizzes

1 .

What is 15% of 3,000 light years?

450 light years

480 light years

663 light years

800 light years

3,000 x 0.15 = 450

2 .

Simona buys a dress in the sales at 60% less than the marked price of £38.50. How much does she pay for it?

£14.40

£15.40

£18.60

£23.10

Sounds like a bargain to me!

3 .

What is 5% of 84 kg?

4.2 kg

8.4 kg

20 kg

23.6 kg

You can work this out by finding out what 10% is (8.4) and then halving it, as 5 is half of 10!

4 .

At the market, towards the end of trading, the flower seller reduces her flowers to half price. What percentage has she knocked off?

25%

33%

50%

75%

Half of 100% = 50%

5 .

What is 75% of £467?

£330.65

£340.80

£350.20

£350.25

75% is the same as 3/4

6 .

What is 17% of £100?

£1.70

£17

£25

£71

A nice easy one!

7 .

Abigail ran 800 metres on school sports day. Ben only ran 40% of Abigail's distance. How far did Ben run?

120 metres

210 metres

240 metres

320 metres

800 x 0.4 = 320

8 .

Jonah is baking cakes and needs 35% of a bag of sugar weighing 240 g. How many grams will Jonah use?

80 g

82 g

84 g

86 g

One way to work this out is to divide 240g by 20 to find 5% then multiply your answer by 3 for 15%

9 .

What is 10% of £480?

£4.80

£40

£48

£72

10% is the easiest to work out because it's the same as one tenth

10 .

What is 86% of 200?

150

172

180

To work this one out just double 86

You can find more about this topic by visiting BBC Bitesize - Percentages

Author: Frank Evans (Specialist 11 Plus Teacher and Tutor)

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