Show WorkingWorked example 1: percentage of an amount
Work out 10% of £60.
- 10% means one tenth. £60 ÷ 10 = £6.
Answer £6
Ratio, proportion and rates of changeFoundation and Higher (some Higher only)
Percentages: GCSE maths practice with worked answers
Show Working has 4 kinds of percentages question for GCSE Maths, for Foundation and Higher (some Higher only). Every question is new each time and comes with the working, step by step.
Percentage questions include finding a percentage of an amount, increasing and decreasing by a percentage, writing one amount as a percentage of another and, on Higher, reverse percentages, where you work back to the original amount.
Coming soon to the App Store01 / What's covered4 kinds of question
Percentages questions in the app
Each kind makes fresh questions every time, so you can practise as often as you like.
- Percentage of an amountBoth tiers
- Increase and decrease by a percentageBoth tiers
- One amount as a percentage of anotherBoth tiers
- Reverse percentagesHigher only
Worked example 2: reverse percentages
In a sale, the price of a laptop is reduced by 25%. The sale price is £150. Work out the original price.
- The original price is 100%. After a 25% reduction, the price is 100% − 25% = 75% of the original.
- So 75% = £150.
- Divide by 75 to find 1%: £150 ÷ 75 = £2.
- Multiply by 100 to find 100%: £2 × 100 = £200.
Answer £200
A common mistake
In reverse percentages, taking the percentage off the new price. If £150 is the price after 25% off, it is 75% of the original, so the original is £150 ÷ 0.75 = £200, not £150 + 25%.
02 / Practise itiPhone and iPad
Practise percentages in Show Working
In the app, open Topics and choose Percentages for ten fresh questions. Ask for a hint if you are stuck, and open the working to see the method one step at a time.
Coming soon to the App StoreMore ratio, proportion and rates of change topics
