GCSE Maths Word Problems: How to Understand and Solve Them
Word problems are one of the biggest challenges in GCSE Maths. Many students know the topic, but struggle when the maths is hidden inside a sentence. The key is to slow down, identify what the question is asking and turn the words into a clear mathematical method.
Why word problems feel difficult
GCSE Maths word problems combine reading, reasoning and calculation. Instead of being told directly to solve an equation or find a percentage, you may need to recognise the topic from the situation.
A simple method for GCSE Maths word problems
- Read the question once without writing anything.
- Underline the key numbers and important words.
- Write down what you need to find.
- Choose the topic or method.
- Show working and check if the answer makes sense.
Percentage word problems
Percentage word problems often involve discounts, increases, decreases, profit, interest or comparing amounts. Look for phrases such as “reduced by”, “increased by”, “percentage of” or “percentage change”.
Percentage word problem example
Question: A coat costs £80. It is reduced by 25%. Find the sale price.
- 25% of £80 = £20
- Sale price = £80 - £20
- Sale price = £60
Answer: The sale price is £60.
For more help, revise percentages and decimals.
Ratio word problems
Ratio word problems often involve sharing an amount, comparing parts or scaling a recipe, map or mixture. Look for phrases such as “in the ratio”, “share”, “parts” or “for every”.
Ratio word problem example
Question: £72 is shared between Ali and Ben in the ratio 5:4. How much does Ali get?
- Total parts = 5 + 4 = 9
- One part = £72 ÷ 9 = £8
- Ali gets 5 parts
- 5 × £8 = £40
Answer: Ali gets £40.
For more practice, use the full guide on ratio word problems.
Algebra word problems
Algebra word problems ask you to turn words into expressions or equations. They often include phrases such as “twice a number”, “three more than”, “the total is” or “find the value of”.
Algebra word problem example
Question: A number is multiplied by 3 and then 7 is added. The result is 31. Find the number.
- Let the number be x
- 3x + 7 = 31
- 3x = 24
- x = 8
Answer: The number is 8.
This links strongly to solving linear equations and expanding brackets.
Video explanation
A short Worthing Maths Tutor video explanation for How to solve GCSE Maths word problems can be embedded here later to improve student engagement and time on page.
Geometry word problems
Geometry word problems may involve area, perimeter, volume, angles, Pythagoras or trigonometry. It often helps to draw or label a diagram, even if the question does not provide one.
Useful topics include area and perimeter, Pythagoras and trigonometry.
Probability and statistics word problems
Probability and statistics questions often ask you to interpret information rather than simply calculate. Read the wording carefully and check whether the answer should be a fraction, decimal, percentage, average or statement.
Helpful pages include probability basics, tree diagrams and mean, median, mode and range.
How to improve at word problems
- Practise mixed-topic questions, not only one topic at a time.
- Write down what the question is asking before calculating.
- Build a list of clue words for each topic.
- Mark your working, not just your final answer.
- Redo questions you got wrong one week later.
Related GCSE Maths guides
- GCSE Maths command words
- Showing working in GCSE Maths
- GCSE Maths exam technique
- Common GCSE Maths mistakes
- GCSE Maths Grade 5 topics
- GCSE Maths Grade 6 topics
GCSE Maths word problems FAQs
What should I do if I do not understand a word problem?
Start by underlining the important information and writing down what you are trying to find. Then look for clue words that suggest the topic.
Are word problems more common on Higher or Foundation?
They appear on both tiers. Higher word problems are often more multi-step, but Foundation students also need strong problem-solving skills.
How can I avoid careless mistakes in word problems?
Show working, keep units clear, check the question at the end and ask whether your answer is sensible in the context.
Need help with GCSE algebra?
If your child understands examples in lessons but struggles to apply them independently, structured GCSE maths tutoring can help rebuild confidence and close gaps step by step.