This GCSE Maths fractions worksheet with answers is designed for focused GCSE revision. Fractions improve when students practise several small skills together: simplifying, equivalent fractions, mixed numbers, four operations and fractions of amounts.
Use it as a short practice task before moving into mixed exam questions. If you need more structured help, I also offer GCSE Maths tutoring and parent-friendly GCSE revision support.
Before you start
The level for this worksheet is Foundation to Higher. Work through the questions without checking the answers first. The point is not only to get the final answer, but to practise the method clearly enough that you could repeat it in a test.
Keep your working visible. GCSE Maths mark schemes often reward method, so a clear first line can still matter even if the arithmetic goes wrong later.
Skills this worksheet checks
This worksheet checks whether you can recognise common fractions question types, choose a sensible first step, and keep your working organised. Those three habits matter more than racing through the list.
For each question, write one line that explains the method before you calculate. That might be a formula, a common denominator, an equation, a route through a diagram, or the probability operation you are using. This makes the practice closer to the way marks are awarded in GCSE exams.
Worksheet questions
- Simplify 18/24.
- Write 7/8 as a decimal.
- Put 2/3, 5/8 and 3/4 in ascending order.
- Work out 3/5 + 1/4.
- Work out 7/9 - 1/6.
- Work out 2/3 x 9/10.
- Work out 5/6 divided by 10/3.
- Convert 2 3/5 to an improper fraction.
- Find 3/8 of 56.
- A recipe uses 3/4 kg of flour. How much is needed for 2/3 of the recipe?
Answers and method checks
| # | Question | Method | Answer |
|---|---|---|---|
| 1 | Simplify 18/24. | Divide the numerator and denominator by their highest common factor, 6. | 3/4 |
| 2 | Write 7/8 as a decimal. | Divide 7 by 8, or remember that one eighth is 0.125. | 0.875 |
| 3 | Put 2/3, 5/8 and 3/4 in ascending order. | Use a common denominator of 24: 16/24, 15/24 and 18/24. | 5/8, 2/3, 3/4 |
| 4 | Work out 3/5 + 1/4. | Use twentieths: 12/20 + 5/20 = 17/20. | 17/20 |
| 5 | Work out 7/9 - 1/6. | Use eighteenths: 14/18 - 3/18 = 11/18. | 11/18 |
| 6 | Work out 2/3 x 9/10. | Multiply the numerators and denominators, then simplify 18/30 to 3/5. | 3/5 |
| 7 | Work out 5/6 divided by 10/3. | Multiply by the reciprocal: 5/6 x 3/10 = 15/60 = 1/4. | 1/4 |
| 8 | Convert 2 3/5 to an improper fraction. | 2 wholes are 10 fifths, then add 3 fifths. | 13/5 |
| 9 | Find 3/8 of 56. | Divide 56 by 8 to get 7, then multiply by 3. | 21 |
| 10 | A recipe uses 3/4 kg of flour. How much is needed for 2/3 of the recipe? | Calculate 3/4 x 2/3 = 6/12 = 1/2. | 1/2 kg |
How to mark this worksheet
Mark each question with more detail than a tick or cross. If the answer is wrong, label the error: method choice, arithmetic, notation, units, signs, calculator input, or not reading the question carefully.
For fractions, it is especially useful to redo the questions you missed after a short break. A topic can feel familiar immediately after reading the answer, but the real test is whether you can start the method independently later.
A good correction is specific. Instead of writing 'revise this', write the exact fix: choose a common denominator, show the multiplier, update the probability after the first choice, label the radius, or subtract the smaller coordinate from the larger one. Specific corrections make the next practice session much easier to plan.
Common mistakes
- Adding denominators as well as numerators.
- Forgetting to simplify the final answer.
- Dividing fractions without using the reciprocal.
- Changing mixed numbers too late in the calculation.
Extension practice
After marking the worksheet, choose three questions and change one number in each. Keep the structure the same, then solve your new versions. This is a quick way to check whether you understand the method rather than remembering the original answer.
If the changed question becomes much harder, that is useful information. It usually means the method is not fully secure yet, or that a small change has introduced a new skill such as negative numbers, fractions, unit conversion, exact form, or a second step.
Students aiming for higher grades should also write one short explanation question. For example: explain why this vector is parallel, explain why these two routes must be added, explain why this theorem applies, or explain why the original amount is not the same as the sale amount. These explanations build the reasoning marks that many students miss.
What to practise next
Once you can complete this worksheet accurately, move to mixed questions where the topic is not written in the title. That is closer to the exam, because you have to recognise the method as well as carry it out.
You can also use the Maths practice papers hub to connect topic practice with broader exam-style work. If the same mistake keeps appearing, bring that exact question to a lesson or send it to me so we can work out what is blocking the method.
