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Build a Formula List You Actually Remember
The SPM Maths exam prints a list of formulae for you, but knowing which to reach for and memorising the rest is your job. A personal formula list, built by hand, is how you make that automatic.
Know what the exam gives you
The paper provides a list of formulae, so blindly memorising everything wastes effort. The real skill is recognising which formula a question is asking for, and remembering the ones that are not printed or the small rearrangements you need under time pressure.
Read the provided list early in Form 4 so you know exactly what you can lean on.
Write it in your own words
Keep a single running page per Form, and for each formula write three things: the formula, what each symbol means, and one worked example where you used it. Add a formula only after you have solved a question with it, so the page grows from practice rather than copying.
Re-copying the sheet by hand every couple of weeks is itself a powerful recall exercise.
Use it, then lose it
The goal is to need the list less over time, so test yourself by attempting questions with the page turned over. In our one-to-one online lessons our teachers help you build a formula list around the exact chapters you find slippery and drill the recall until it is fast.
Sessions are in English from RM50 per hour, with a paid one-hour trial to start.
Organise it by chapter, so it doubles as a map
A formula list that's simply one long alphabetical or random sequence is hard to scan under pressure. Group yours by chapter instead, Form 4 topics in one block, Form 5 in another, and within each block, the formulae in the order your syllabus introduces them.
This does two jobs at once: it makes a specific formula fast to find when you're checking it, and the finished list becomes a rough map of the whole syllabus, so paging through it is also a way of reviewing which topics you've covered and which chapters look thin. Leave a little space at the end of each chapter's section, since you'll often want to add a formula you missed the first time, or one you initially thought didn't need writing down but later found yourself forgetting.
Attach a mini worked example to each formula
A formula on its own tells you what to calculate, not when to reach for it. Next to each entry, add a tiny worked example, two or three lines showing the formula applied to a simple number, not a full past-year question.
This small addition is what separates a list you can recognise from a list you can actually use, because the exam rarely hands you a formula in isolation; it hands you a situation, and you have to spot which formula fits. Seeing "area of sector = (θ/360) × πr², used when you're given an angle at the centre and a radius" fixed next to the formula does more for recall under pressure than the bare formula ever will, since it's the trigger, the angle and the radius appearing together, that you actually need to notice first.
Test yourself against a blank sheet
A formula list is only doing its job while you're building it; once it's finished, its real test is whether you can reproduce it without looking. Every week or two, take a blank sheet and write out as many formulae as you can recall by chapter heading alone, then compare against your actual list and circle anything missing or wrong.
This catches the formulae that quietly slip once you've stopped actively revising a topic, usually ones from earlier in the syllabus that you assumed were "done". Keep the blank-sheet attempts themselves, dated and kept together, so you can see over the weeks whether the same formulae keep reappearing as gaps, which tells you exactly which ones need a dedicated few minutes rather than another general read-through of the whole list.
Frequently asked questions
Should my formula list include every formula given in the exam's formula page, or only the ones I need to memorise?
It's worth including both, but treating them differently. For formulae the exam prints for you, a short note of what each symbol means and when it applies is usually enough, since your job there is recognising and applying, not recalling from nothing.
For formulae the exam does not print, ones you're expected to know outright, write those out in full and treat them as the ones that need active memorising and regular self-testing. Marking each entry with a quick symbol for "given" versus "memorise" keeps this distinction visible every time you open the list.
How long should a personal formula list be?
Long enough to cover what you actually need, and no longer than that. A list that stretches across many pages is nearly as unusable as having no list at all, since you can't scan it quickly under time pressure.
Most students find a manageable version fits onto a handful of pages, one per major topic area, once it's been through a round or two of trimming, the "use it, then lose it" habit mentioned earlier is exactly how you get there. If yours is growing much longer than that, it's often a sign you're copying formulae you already know well rather than the ones you actually forget.
What's the best time to start building this list?
Start it from the very first week of a topic, not in the weeks before the exam. Building the list while you're first learning a chapter, in your own words, is what makes the writing itself useful, it forces you to notice which parts of a formula you actually understand versus which parts you're just copying down.
Starting it late, as a revision-season crash project, turns it into a rewriting exercise instead, which is far less effective. If you haven't started one yet and exams are close, begin now anyway, a list built from Form 5 topics only is still worth more than no list, and Form 4 formulae can be added in the review pass that follows.