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Exam marks come from the working, not just the answer. Here is how to lay percentage questions out cleanly.

Study · 9 min read

Show the working

Line one: state the formula. Line two: substitute the numbers. Line three: give the answer with units or a percent sign.

Markers award method marks even when the final number is wrong, so never jump straight to the answer.

Practice questions

What is 35% of 240? Answer: 84.

A test score of 51 out of 68 — what percentage is that? Answer: 75%.

A bike costs £320 and is reduced by 15%. What is the sale price? Answer: £272.

A population grows from 4,500 to 5,040. What is the percentage increase? Answer: 12%.

Common exam traps

Reverse percentages: if a price after a 20% discount is £64, the original was £64 ÷ 0.8 = £80.

Percentage points versus percent: a rate moving from 5% to 6% is one percentage point, a 20% increase.

Check your answer by working backwards. If 15% of a number is 84, then 84 ÷ 0.15 should return your starting number.

Put it to work

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