Have you ever done a topic in your math class and thought “I understand this,” only to sit in the exam and have no idea where to begin?
If you have, then you are not alone. Many students experience the same phenomenon where they can follow their teacher’s explanation well, but struggle to solve the same set of problems during the test. A common misconception is that some people would jump straight into thinking that they are bad at maths. While in reality, the problem is the gap between understanding a concept and being able to apply it independently.
Why Do You Understand Maths in Class but Struggle in Exams?
There are several stages in learning mathematics:
Recognition: this is when you understand a method when someone explains it to you, or shows you an example.
Recall: when you’re able to remember the method without looking at your notes.
Application: when you can identify what a question is asking and decide how to solve it, even when the question looks unfamiliar.
Though classroom examples provide plenty of guidance, exams require you to make decisions on solving problems, independently. This is why the third stage; application, is especially important, as students are expected to apply mathematical concepts to different types of problems in exams.
How Can You Improve Your Maths Test Performance?
1. Close your notes and solve the problem yourself
After studying a worked example, put your textbook or notes away and try to solve the question from memory. If you get stuck, look at the relevant step briefly, close the solution again, and continue.
The goal is not to avoid getting stuck. Struggling with a problem is part of learning how to solve it independently.
2. Practise unfamiliar questions
Doing lots of questions that follow exactly the same pattern can make you feel prepared without actually testing your understanding.
Once you are comfortable with the basics, try questions where the numbers, wording, or context are different. Mixed practice is especially useful because you have to decide which mathematical method to use, rather than simply following the same procedure repeatedly.
3. Keep an error log
When you get a question wrong, do more than just check the answer. Try asking yourself why you made the mistake. Understanding your mistakes can help you identify exactly what you need to work on, and can be much more effective than simply doing more questions.
4. Practise under exam conditions
Once you understand the material, complete short sets of exam-style questions without your notes and within a time limit. This helps you practise not only mathematical knowledge, but also the decision-making and time management required during an actual exam.
What If You Understand the Topic but Still Can't Solve It Alone?
Sometimes, students do not need another explanation of the same topic. Instead, they need help identifying where the gap between understanding and independent problem-solving actually is.
This is where personalised academic support can make a difference.
At Kokusaba Juku, students can receive support based on their individual curriculum, goals, and learning needs. For an international school student, this might mean working on IB Maths, strengthening mathematical foundations, preparing for an upcoming exam, or identifying why familiar concepts become difficult when they appear in unfamiliar questions.
Rather than simply giving students the answer, our goal is to help them understand their own mistakes and gradually become more confident solving problems independently.
From Understanding to Independence
If you understand maths in class but struggle to solve questions on an exam, don't immediately assume that you are “bad at maths.” You may simply need more practice moving from understanding → recalling → applying → solving independently.
With the right practice and support, the question that once made you think “I have no idea where to start” can eventually become “I know what to try.”
