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Percentages – practice for Years 7–9

Sample questions on Percentages with the right answer and a worked solution, from easy to hard. In the Pickles Academy app a child gets new questions of the same kind every time, so they can't just learn the answers by heart.

Subject
Maths
Year
Years 7–9
Curriculum area
Relationships, functions and data

Question types: Percentage calculations

Rule: Percentages

1% is one hundredth of the whole. p% of a number: divide the number by 100 and multiply by p.

What percentage is it? Divide the part by the whole and multiply by 100.

Example: 84 pupils out of 280: 84 ÷ 280 = 0.3 = 30%

Watch out: 30% off means you pay 70% of the original price, not 30%.

Sample questions

  1. Question 1 Easy

    60% of an unknown number is 60. Find the number.

    Show the solution
    Answer: 100

    How it works: 1% = 60 ÷ 60 = 1; 100% = 100

  2. Question 2 Normal

    A jacket cost £260. In the sale it is 30% cheaper. How many pounds does it cost in the sale?

    Show the solution
    Answer: £182

    How it works: 30% of £260 is £78; 260 − 78 = £182

  3. Question 3 Hard

    A jacket cost £180. In the sale it is 40% cheaper. How many pounds does it cost in the sale?

    Show the solution
    Answer: £108

    How it works: 40% of £180 is £72; 180 − 72 = £108

All Maths topics

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