GCSE Maths: Fractions, Decimals and Percentages

Fractions, decimals and percentages sit at the heart of the Number strand of GCSE Mathematics, and questions drawing on them appear throughout both Foundation and Higher tier papers — often hidden inside problems about money, discounts, interest and data. This practice quiz checks the full chain of skills the specification expects: converting fluently between the three forms, ordering a mixed list of fractions, decimals and percentages, and applying percentage reasoning to realistic situations.

The questions go beyond simple conversion. You will work with percentage multipliers (recognising that a 15% decrease means multiplying by 0.85), calculate percentage change from before-and-after prices, and tackle the reverse percentage problems that catch so many candidates out — finding the original price of an item after a discount has already been applied. The set finishes with repeated percentage change: compound growth and decay expressed as chained multipliers, such as an investment that loses 10% one year and gains 10% the next, or a car depreciating by a fixed percentage over several years.

Every question is fully self-contained with concrete numbers, so you can practise the arithmetic and the reasoning without needing a calculator for most items. Each answer comes with a worked explanation showing the standard method, which makes the quiz equally useful as a diagnostic before starting a revision block or as a final check afterwards.

If you are aiming for grade 5 and above, pay particular attention to the reverse percentage and multiplier questions: examiners consistently report that students who treat a 15% discount as "add 15% back" lose easy marks, and the multiplier method is the reliable way to avoid that trap. The flashcard deck accompanying the quiz drills the key conversions and multiplier facts so the fluent recall is there when the reasoning questions demand it.

• Convert fluently between fractions, decimals and percentages, and order mixed lists of all three
• Use percentage multipliers for increases and decreases instead of two-step methods
• Calculate percentage change from original and new values
• Solve reverse percentage problems to recover an original amount after a change
• Handle repeated percentage change (compound growth and decay) with chained multipliers

Topic scope follows the Number strand of the Department for Education's GCSE mathematics subject content: interchanging fractions, decimals and percentages, percentage change and multipliers, reverse percentages, and growth and decay as iterative processes — skills assessed at both Foundation and Higher tier.