How to study for a maths test when rereading notes does nothing

By Planr.ai · 11 September 2026 · 7 min read

Maths is the subject where the standard advice fails hardest. Reading worked solutions feels like studying and produces almost nothing, because the exam does not ask you to recognise a method — it asks you to pick one with a blank page in front of you.

The recognition trap

Open your notes, read a solved problem, follow every line, nod. Every step is obvious as you read it. That feeling is recognition, and it is not the same skill as retrieval. The test gives you a question with no method attached, and the hard part is deciding what to do in the first thirty seconds. Reading solutions never rehearses that decision.

The cheapest way to see this is to close the notes and redo a problem you just read. Most people stall within two lines. That stall is the real state of your knowledge, and finding it now costs nothing.

Work problems, in this order

Do the exercises from the section, but cover the solution. Give yourself a hard five minutes on a problem before looking at anything. If you are stuck at five minutes, look at the first line of the solution only, cover the rest, and continue. One line teaches you the entry point, which is usually the only thing you were missing. Reading the whole solution teaches you nothing and feels like it taught you everything.

After you finish a problem with help, mark it, and do it again from scratch the next day. A problem you completed with a hint is not learned; it is flagged.

Start with the problems the teacher did in class. If you cannot reproduce those from a blank page, nothing else is worth doing yet.
Then do the odd-numbered exercises, which usually have answers at the back so you can check without reading a method.
Then do problems from a different source — another textbook, a past paper, a worksheet from a different year. Same maths, different wording, which is where most marks are actually lost.

The error log is the whole trick

Keep one page. Every problem you get wrong goes on it in three parts: the problem, what you did, and the specific reason it was wrong. The third part has to be specific. Silly mistake is not a reason. Dropped the negative when expanding brackets is a reason. Used the chain rule when the question needed the product rule is a reason. Forgot the second solution of the quadratic is a reason.

After two weeks the log stops looking random. Almost everyone finds three or four recurring errors that account for most of their lost marks, and they are usually mechanical rather than conceptual — sign errors, dropped units, forgetting to check the domain, misreading which variable is being solved for.

That list is your revision plan. Ten minutes drilling your four repeat errors is worth more than an hour of new problems, because those errors will show up on the test whatever topic it covers.

Formulas: know which are given

Find out what is on the formula sheet, in writing, before you memorise anything. Memorising fifteen formulas that are printed on page one of the exam is wasted evenings. The ones that are not on the sheet get flashcards, and they get tested by writing them from memory rather than reading them.

For each formula you do have to know, also write one line about when it applies. A formula you can write and cannot place is a formula you will use in the wrong question.

The last two evenings

Two evenings before: a full past paper or the chapter review, timed, in one sitting, no notes. It will be uncomfortable, and that discomfort is the point — it is the first honest measurement you have had. Mark it yourself and add every error to the log.

The evening before: redo only the questions you got wrong, plus your recurring-error drills. Twenty to forty minutes, then stop. New material learned the night before a maths test displaces the methods you already had, and a tired brain makes exactly the mechanical errors your log is full of.

The morning of: write out your formula list from memory once. Five minutes. It is a warm-up, not revision, and it gets your hand moving in the right notation.

During the test

Spend the first two minutes reading the whole paper and marking each question easy, medium or hard. Do the easy ones first regardless of order. Marks are marks, and the time you spend stuck on question 3 is time you are not spending collecting question 7.

Write the method even when the arithmetic falls apart. Most maths papers award method marks, and a clearly set out attempt with a wrong final number frequently scores most of what was available. A blank space scores none.

If a question makes no sense, write down what you do know about the topic it appears to be testing. It costs thirty seconds, occasionally catches a mark, and sometimes unsticks the method.

Where this advice stops

If you are failing to follow the lesson itself, no amount of problem-work will fix it — you will practise the wrong method fluently. That situation needs the concept explained again from a different angle: a different textbook, a video, a friend, or twenty minutes with the teacher. Get the explanation first, then come back to the problems.