A Level Maths Exam Technique: Your Complete Guide

The students who achieve the highest grades are not always the strongest mathematicians. In many cases students underperform because they never developed exam technique, and exam technique is a separate skill from knowing the maths.

This guide walks through the four areas worth working on, and how to practise each one.

In this guide

• Practise under exam conditions
• Communicate clearly
• Reduce careless mistakes
• Reflect on your mistakes
• Pulling it together

Practise under exam conditions

Why does it matter?

If the only time you answer exam questions under timed conditions is when you are actually in the exam, you are far more likely to struggle with:

• Not working at a fast enough pace, and running out of time.
• Feeling anxious and under pressure.
• Making careless mistakes through a lack of checking strategies.
• Poor written communication, and losing method marks as a result.

The pressure never completely goes away, but with purposeful practice it becomes much easier to manage.

How to do it

Set aside regular time to practise exam questions in proper exam conditions:

• Set a time limit. Allow roughly one minute per mark, slightly more for questions that tend to appear later in the paper.
• Remove distractions. Put away your phone and close any other tabs. Replicate the exam environment as closely as you can.
• Check your own work first, before looking at the mark scheme.
• Do not use your notes when working in exam conditions.
• Write full solutions. No shortcuts, and no rough working that you then copy up.

Communicate clearly

Maths is not just about getting the right answer. You should aim to express your ideas clearly and logically. Examiners do not have infinite time to search a disorganised solution for marks.

Presentation

• Cross out mistakes with a single line. Do not write over the top of them.
• Write along the printed lines of the answer booklet.
• Do not squash your working into a small space. If you need more room, use the next page and say so.
• Leave clear space between questions so your structure is easy to follow.

Mathematical language

• Use an equals sign to connect lines of working where appropriate. Do not use arrows instead, unless you mean the logical implication symbol ⇒.
• State what you are calculating. Write "gradient of AB = …" rather than just writing down a number.
• Let your mathematics flow down the page, not across it.
• Use connecting statements to guide the reader: "Substituting equation (1) into (2):" or "Since AB is perpendicular to BC…"

A clearly written solution shows the examiner you understood the method, and that is often worth the majority of the marks even when the final answer is wrong.

Reduce careless mistakes

The single most common reason students drop marks in A Level Maths is careless mistakes. Everyone makes them. The most consistent performers have developed reliable strategies to catch them before the examiner does.

Those strategies do not develop on their own. You have to work on them every time you practise, not just in the exam itself. If you only try to use checking strategies when you are under exam pressure, you will not remember to do most of them.

Re-read the question

A complex question can take several minutes to answer, and by the end you may have forgotten a key detail from the start. Before you move on, always check:

• Have you actually answered what was asked?
• Have you used the required accuracy, for example an exact value or one decimal place?
• Have you given your answer in the correct form, for example ax + by = c?

Calculator display check

After entering a calculation, read back what is on the display, not just the answer. While you are pressing buttons your attention is on the keypad. A quick glance at the full expression before pressing equals catches most entry errors.

Use diagrams

Diagrams help you visualise the problem and spot errors that are impossible to see in symbolic algebra alone. They are particularly valuable for coordinate geometry, mechanics and vectors. If you skip drawing them when you practise, you will skip them in the exam too.

Calculator fluency

Your calculator is a powerful checking tool, but only if you can use it quickly. Practise:

• Solving quadratics, cubics and simultaneous equations in equations mode.
• Using the solve tools to check roots, intercepts and turning points.
• Using numerical differentiation and integration where a numerical answer is required.
• Storing values in memory, rather than re-entering long decimals mid-calculation.

Line by line checking

This means checking every term as your working moves from one line to the next. It is the most thorough method and it takes time. With practice you get faster, and it only becomes viable if you are working at a pace that leaves time to check.

Reflect on your mistakes

Once you have completed a set of exam questions and checked your own work, use the mark scheme to find where you went wrong. Do not simply copy out the mark scheme answer. That is the least useful thing you can do.

Why genuine reflection is essential

If you do not try to understand why you made a mistake, you will keep making it, including in the final exam. If you identify the root cause, you can take steps to prevent it.

How to reflect effectively

• Read the mark scheme carefully to check whether you would actually have been awarded each method mark.
• Score yourself honestly. Be harsh, not generous.
• Where possible, read or watch a full written solution to see how an expert communicates the method.
• If you did not get full marks, note the question and attempt it again later without looking at your original working.

Keep a mistake log

For recurring calculation errors, keep a running list of the mistakes you make most often: sign errors, forgetting the plus or minus when square rooting, missing solutions in a trigonometric equation. Review the list before every exam.

For conceptual mistakes

• Sometimes reading the mark scheme is enough to see where you went wrong.
• Sometimes you need to ask for help. Do not hesitate to do so.
• Annotate your corrections, so that when you review them later you can see what you were thinking at the time.

Pulling it together

Strong exam technique is built through consistent, deliberate practice over weeks and months. It is not something you can bolt on at the last minute. The four areas above reinforce each other:

• Practising under timed conditions builds the pace that makes checking possible.
• Clear communication makes your working easier to check line by line, and earns method marks even when you slip.
• Active checking reduces the errors that reach the examiner in the first place.
• Genuine reflection closes the loop, so mistakes in practice do not become mistakes in the exam.

Work on all four consistently through the course and you will arrive at the exam having already met most of the pressures it can throw at you.