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You move through the exam paper at a good pace. Most questions feel fine. Then you reach a long question near the end. It looks big and confusing. There is a lot of space to write. It also has more than one part. At that moment, your mind can go blank.
A lot of students experience something similar, and it is not necessarily a failure of knowledge. Maths questions are often broken down into parts to help guide the student to the answer, but the purpose of problem-solving questions is to draw on your knowledge of multiple concepts, and they blend those concepts.
These questions are also worth more marks, so they are very important in your exam.
The good news is that they are not impossible. With the helpThey are made using the same topics you already know. You just need a clear way to break them down and solve them step by step.
Tip 1: Read the Question Carefully and Understand What It Is Asking
This step may seem simple, but many students lose marks here. They rush into solving the question, skim through it quickly, and start working. Later, they realise they were solving the wrong thing.
So it is important to slow down and read the question properly. A good way to do this is to read it twice. The first time, just try to understand the situation. The second time, focus on the details.
While reading again, underline important numbers, circle the units, and mark what the question is actually asking you to find. This helps you stay focused and avoid mistakes.
You should also understand command words, because they tell you exactly what to do:
- Solve means to find the value of the unknown
- Show that means explain your working step by step
- Estimate means round first, then calculate
- Hence, use your previous answer; do not start again
- Work out means show full working to get the answer
The word “hence” confuses many students. If a question says “hence solve the equation,” it means you should use the answer from the previous part. If you miss this, you may repeat work you already did and get confused.
Also, be careful with small details in the question. Sometimes units change, like centimetres and metres. Sometimes the question asks for more than one answer, but students only give one. These small things can easily cost marks if you are not careful.
Tip 2: Break the Problem Into Smaller Steps
Big questions can look scary when you first see them. They often have a lot of words and more than one step. But the key is not to think about everything at once.
Instead, focus on just the first step. Ask yourself what you need to find first to move forward. Write that step down and solve it. Then move on to the next step in the same way. When you do this, the question becomes much easier to handle.
This method is also very useful in exams because you can still get marks even if you do not finish the whole question. In GCSE Maths, each correct step can earn a mark. So a student who completes most steps correctly will score better than someone who tries to rush to the final answer and makes a mistake.
For example:
Anna and Ben share £480 in the ratio 3:5. Ben gives 20% of his share to Carla. How much does Carla receive?
- Step 1: Find the total number of parts: 3 + 5 = 8
- Step 2: Find the value of one part: £480 ÷ 8 = £60
- Step 3: Find Ben’s share: 5 × £60 = £300
- Step 4: Find 20% of Ben’s share: £300 ÷ 5 = £60
Each step is easy when done on its own. The main idea is to slow down and take the question one step at a time instead of trying to solve everything together.
Tip 3: Draw a Diagram, Table, or Bar Model to Organise the Information
A large amount of information in a question can be confusing, especially when it is a combination of multiple pieces of information in the form of numbers or text. Remembering large chunks of information puts a strain on your brain, and mistakes can also happen.
A simple way to make it easier is to draw something. It does not need to be perfect. Even a rough sketch can help because it puts the information in front of you instead of keeping it in your head.
Different types of questions work better with different visuals:
- For ratio and proportion questions, use a bar model
- For geometry questions, draw the shape and label the known values
- For sequences, use a differences table
- For word problems, make a simple table with “given” and “unknown.”
The design of your illustration is irrelevant. Your ability to solve and to be clear about what is happening in a question is what is most important.
Tip 4: Always Show Your Working Step by Step
One of the most important habits in GCSE Maths is showing your working clearly. Many students lose marks not because their idea is wrong, but because they do not show how they got the answer.
It is possible to work through various math methods and still arrive at the correct answer, even when your initial answer is incorrect. Each step you take is as significant as your final answer.
Get into the habit of writing every single step on a new line. Don’t just answer the question in your head; for questions that are more than one mark, take the time to write it down. It can be helpful to provide small indications to the steps you’re taking, such as ‘finding total parts’ or ‘applying the formula’ to make it easier to understand the method you’re using.
Here is the difference in real exams:
- A wrong answer with clear working can still get most of the marks
- A correct answer with no working can get zero in some questions
That is why showing steps is always worth it.
For example:
Instead of writing just: x = 5
Write it out:
2x + 3 = 13
2x = 10
x = 5 ✓
Three lines of work take ten seconds and protect every mark along the way. If you had written only x = 5 and made an arithmetic error, you would walk away with nothing.
Even if you are not fully sure of the method, still write something down. Write the formula you think is needed or substitute the values you know. Starting the question can still earn you marks, but leaving it blank gives you nothing.
Tip 5: Check Your Answer Using a Different Method or Common Sense
When you finish a problem, avoid the temptation to just move on to the next one. Check your answer, even if it takes a few seconds. People often lose marks for careless errors, and double-checking can help you avoid this.
There are three simple ways to check:
- Substitute back: put your answer back into the original equation and see if it works
- Work backwards: use inverse operations to get back to the starting value
- Sense check: ask yourself if the answer is realistic. If someone’s age comes out as 140 or a length is negative, something has gone wrong
For example:
After solving 2x + 3 = 13 and getting x = 5, substitute back:
2(5) + 3 = 10 + 3 = 13 ✓
During non-calculator exams, rough estimations are quite helpful. You can round the numbers to one significant figure and do a mental check. This can help you determine if you are not too far from the actual answer. For instance, if the answer is 600, and the rough estimation is 60, you are likely too far; you probably made a mistake with the decimal point or did a mistake with the units.
FAQs
What are problem-solving questions in GCSE Maths?
Problem-solving questions are questions that mix more than one topic in a single question. They usually appear near the end of the paper and are worth more marks. Instead of giving a clear method, they ask you to think and choose the correct steps yourself.
What are difficult GCSE Maths questions like?
Difficult GCSE Maths questions are usually broken down into multiple steps and mixed concepts like algebra, ratio, and geometry.
How to get better at maths?
The best way to learn math is to practice different question types regularly. From practicing, you will learn to see and identify distinct and interesting patterns. Learning from your mistakes helps you avoid errors that you used to make.
What are the best ways to revise for GCSE Maths?
The best way to revise math is to go through a variety of questions to identify your weak spots. After identifying your weak spots, you should revise the math formulas and concepts that pertain to them and practice again. Practicing more under timed conditions helps you to prepare the best.
How to get Maths GCSE quickly?
The only way to specifically pass a math test is to consistently practice math, learn the basic concepts, and solve past exam papers. Simple practice will not help you improve math skills overnight.
Final Thoughts
Problem-solving questions are not about being naturally good at maths. They check how clearly you think and how well you can use what you already know in the right way.
If you follow a simple system like reading carefully, breaking the question into steps, showing your working, and checking your answer, you will do much better than rushing.
Questions are not made to trick you. They contain information you already know, but may just be combined differently. Learning to break down questions will show you that questions are much easier than you first thought.
Skills such as this can be perfected with regular practice, especially when answering past paper questions. These skills will begin to feel more natural to you in the exam.
