How many Reverse percentage problems practice questions are there?

There are 17 self-marking GCSE Maths questions on Reverse percentage problems, written for AQA, Pearson, OCR across Foundation and Higher tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise Reverse percentage problems?

No. You can start practising Reverse percentage problems straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.

Fractions and percentages as operators

Reverse percentage problems

17 self-marking GCSE practice questions on Reverse percentage problems, written specifically for AQA, Pearson, OCR across Foundation and Higher tier. Instant marking with full worked solutions on every question.

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Sample Reverse percentage problems questions

A few of the 17 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

Question 13 marksGrade 4
Jack sent 15% more text messages in March than in February. Jack sent 460 text messages in March. How many more texts did Jack send in March than in February?
Show the worked solution
460 = 115% of February's total, so February = 460 ÷ 1.15 = 400. M1
Difference = 460 − 400 = 60. M2 A1
Question 22 marksGrade 5-6
Ryan buys a washing machine in a sale, reduced by 12%. The sale price is £242. Work out the original price before the reduction.
Show the worked solution
The given price represents 88% of the original price (not 100%), since the price has already changed by 12%.
Find the multiplier: $88\% = 0.88$

What are the common mistakes in Reverse percentage problems?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

Uses the wrong operation or sign when translating a worded description into an algebraic expression
Treated the given price of £1170 as 100% and found 30% of it directly, instead of recognising £1170 already represents 130% of the original - needed to divide by the multiplier, not take a percentage of the changed amount
Applies the wrong inverse operation when isolating the unknown (e.g. subtracts instead of adding, or vice versa)
Multiplied the given price by the multiplier again instead of dividing by it - dividing is the inverse operation needed to undo the original percentage change
Adds the two percentage changes together
Found 15% of £1426 and subtracted it from £1426, instead of dividing £1426 by 1.15 to reverse the percentage increase.

Quick answers about Reverse percentage problems

How many Reverse percentage problems practice questions are there?: There are 17 self-marking GCSE Maths questions on Reverse percentage problems, written for AQA, Pearson, OCR across Foundation and Higher tier. Each one is marked instantly and has a full worked solution.
Do I need an account to practise Reverse percentage problems?: No. You can start practising Reverse percentage problems straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.