How to Study Maths for Christmas Exams (Without Just Re-reading Your Notes)

11 minutes ago

4 min read

By November, Christmas exams are beginning to feel very real.

There are several weeks of material to revise, homework is continuing as normal and students are being encouraged to “start studying”. But what does studying Maths actually look like?

For many students, it means opening their copy, reading through worked examples and watching a few solutions online. An hour later, everything looks familiar, so they feel reasonably prepared. Then they attempt a question on their own and cannot work out how to begin. If this sounds familiar, it is worth looking at how that revision time is being used. Students can put considerable effort into studying without giving themselves enough practice at the thing the exam will require: solving questions independently.

Understanding a solution is only the beginning

When a teacher works through a question, the method has already been chosen. The steps appear in the right order, and an explanation is available whenever something becomes difficult.

In an exam, students have to make those decisions themselves.

They need to recognise the topic, select a method, remember the steps and carry them out accurately. Following an explanation helps build understanding, but students also need opportunities to do that thinking for themselves. A useful check is to close the notes and attempt a fresh question. Can you decide how to start? Can you explain why you are using that method? Can you finish without checking the example after every line? If you cannot, you have found something useful to work on during your next study session.

Start by finding out what needs attention

Before creating a revision timetable, make a list of the topics included in your Christmas exam. Check the scope with your teacher rather than assuming that everything covered since September will be examined.

Then try a few questions and sort the topics into three groups:

Green: I can answer questions independently and explain my method.
Amber: I understand parts of this, but I forget steps or need prompts.
Red: I need help understanding the idea or beginning the questions.

Base these decisions on what you can actually do with a pen and paper. A topic can look very familiar in your notes and still be difficult to use independently. Recent tests and corrected homework are particularly useful here. They can show whether the difficulty is a missing concept, a repeated algebra error or uncertainty about which method to choose. Choose one manageable priority for your next session. “Revise Maths” is a large task. “Practise solving equations with fractions” gives you a clear place to begin.

Use a simple five-step revision routine

You do not need a complicated system. Try repeating this cycle:

Review → Attempt → Check → Correct → Reattempt

Review

Briefly revisit the key idea or method. Work through an example and make sure you understand why each step is taken. If the explanation still does not make sense, write down the precise point where you need help.

Attempt

Close the notes and try a fresh question.

Give yourself time to think before opening the solution. Write down the information given, identify anything you recognise and attempt the steps you can do.

If you become stuck, mark the exact point. This makes it easier to ask a useful question afterwards.

Check

Compare your work with the solution or ask your teacher to check it. Look beyond the final answer. Check your method, signs, workings, units and calculator use.

Correct

Identify what caused the error and complete the correction. “Wrong answer” tells you very little. “I changed the sign incorrectly when removing brackets” gives you something specific to practise.

Reattempt

Return to the question later, or try a similar one, without looking at the correction. This is an essential step. A correction may seem obvious while it is in front of you; trying again shows whether you can now complete the work yourself.

What could one study session look like?

A focused session of around 30–40 minutes might include:

Five minutes: Recall the main ideas or formulae, then check your notes.
Fifteen to twenty minutes: Attempt a small selection of questions independently.
Ten minutes: Check and correct your work.
A final few minutes: Record what needs another attempt or a teacher’s explanation.

Adjust the time to suit the topic and your workload. A long question may take most of a session, and that is fine. The important thing is that some of your revision involves working without the answer beside you.

How parents can help

Parents do not need to remember the Maths course to support useful revision. Instead of focusing only on how long your teenager has been studying, ask:

“Which topic did you work on?”
“Could you attempt the questions without notes?”
“What did you discover you need help with?”
“What will you practise next?”

Help them choose a routine that fits alongside homework, other subjects and time to rest.

If every session ends in frustration, encourage them to bring a specific question or unfinished attempt to their teacher. Sitting for longer with a method they do not understand is unlikely to resolve the difficulty.

Make the next session useful

There is still time to make steady progress before Christmas exams. Start with one topic. Review what you need, attempt a question independently and use the mistakes to decide what happens next.

At Piece of Pi, this is a central part of how we work: clear explanations, supported practice, useful corrections and opportunities for students to become more independent.

The aim is for students to walk into an exam with experience of choosing methods and working through difficulties for themselves.

For information about Piece of Pi’s Maths classes in Navan and North Dublin, visit pieceofpi.ie or email leona@pieceofpi.ie.