A Level Maths Exam Technique: Your Complete Guide

1. 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, no working on rough paper that you then copy up.

2. Communicate Clearly

Maths is not just about getting the right answer. You should aim to express your ideas clearly and logically. Exam markers do not have infinite time to search through a disorganised solution to find 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 — for example, 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…"

3. Reduce Careless Mistakes

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

These strategies do not develop on their own. You must actively 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 (e.g. exact value, 1 decimal place)?
• Have you given your answer in the correct form (e.g. ax + by = c)?

Calculator display check

After entering a calculation, read back what is on the display — not just the answer. When you are pressing buttons, your attention is on the keypad. A quick glance at the full expression before pressing = 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
• Vectors

If you skip drawing diagrams when you practise, you will skip them in the exam too. Make it a habit.

Calculator fluency

Your calculator is a powerful checking tool — but only if you know how to use it quickly. Practise:

• Solving quadratics, cubics, and simultaneous equations using equations mode.
• Using the gSolve function to check roots, y-intercepts, and turning points.
• Using the derivative and integral calculator when numerical answers are required.
• Storing values in memory to avoid re-entering long decimal approximations 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, but it takes time. With practice you can get faster — and it only becomes viable if you are working at a pace that leaves you time to check.

4. Reflect on Your Mistakes

Once you have completed a set of exam questions and checked your own work, use the mark scheme to identify where you went wrong. But do not just 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 take the time to 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, watch or read a full written solution to see how an expert communicates the method.
• If you did not achieve full marks, note the question and attempt it again at a later date 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 — for example, sign errors, forgetting ± when square rooting, or missing solutions in a trigonometric equation. Review this list before every exam.

For conceptual mistakes

• Sometimes reading the mark scheme is enough to understand 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.