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Exam · Formulas: given vs memorised

Which Add Math formulas are given, and which to memorise

The SPM Add Math formula list supplies 24 formulas, covering algebra, statistics, trigonometry and geometry, that you look up rather than recall. Everything else in the syllabus, including the differentiation and integration rules used constantly in both papers, has to live in memory.

The two kinds of formulas in Add Math

Every formula in Add Math falls into one of two categories: the 24 formulas printed on the exam's formula list, which you look up rather than recall, and everything else in the syllabus, which has to already be in your memory when you sit down to answer a question. Confusing the two is one of the quieter reasons students lose time and marks, either wasting minutes searching the list for something that was never on it, or trying to recall something they could simply have looked up.

Why the split exists

The list exists so results that are long, easy to mis-state, or purely computational, like the composite index formula or the tangent double-angle formula, don't have to be memorised word for word. It is not there to remove the need to know your syllabus; it is there to remove one specific kind of memory load.

What's on the given list, and how it's grouped

The list groups its 24 given formulas into four areas, and knowing the shape of each group is often enough to recognise a question's formula on sight.

  • Algebra (6), the quadratic formula, the change-of-base rule for logarithms, and the n-th term and sum formulas for both arithmetic and geometric progressions.
  • Statistics (6), the standard (z) score, binomial probability, permutations, combinations, the price index, and the composite index.
  • Trigonometry (9), the Pythagorean identity, the two related identities for sec2\sec^{2} and cosec2\operatorname{cosec}^{2}, the sum and difference formulas for sine, cosine and tangent, and the double angle formulas for sine, cosine and tangent.
  • Geometry (3), the sine rule, the cosine rule, and the area of a triangle using two sides and the included angle.
Given in the exam
Z=XμσZ = \dfrac{X-\mu}{\sigma}
Given, the standard (z) score, from the statistics group.

Notice what's missing

Differentiation rules, integration rules, and the laws of indices and logarithms you use in nearly every algebra question are not part of these 24. That absence is the clearest signal of what belongs in memory instead.

What still has to live in your memory

Because the given list is short and specific, most of the working mathematics of Add Math is not on it. Differentiation and integration are the clearest example: the rules for differentiating a power, a product, a quotient, or a composite function, and the corresponding rules for integrating them, appear constantly across both papers but are nowhere on the formula list.

The basic laws of indices and logarithms, how am×ana^{m} \times a^{n} combines, how log(mn)\log(mn) splits, work the same way: you use them in almost every algebra question, and none of them are printed for you.

  • The differentiation rules for powers, products, quotients, and composite (chain-rule) functions, together with the matching integration rules.
  • The laws of indices and logarithms that let you simplify and solve exponential and logarithmic equations.
  • Coordinate geometry basics, finding a gradient, a midpoint, or a distance between two points, which come up as a step inside many longer questions rather than as a formula you look up.
  • The general shape and key features of standard graphs, since sketching and interpreting graphs is tested directly and doesn't appear as an item on the formula list.

Not on the list doesn't mean not tested

A formula's absence from the printed list has nothing to do with how often it appears in the exam. Some of the syllabus's most frequently used results, differentiation chief among them, are exactly the ones you have to know without a reference.

A worked example that uses both kinds

The clearest way to see the split in action is a question that needs both a memorised rule and a given formula in the same solution.

Q1[3 marks]

Given that y=sin2xy = \sin^{2} x, find dydx\dfrac{dy}{dx}, giving your answer in the form ksin2xk\sin 2x.

Show worked solution

Step 1, differentiate using the chain rule (memorised). The chain rule itself is not on the formula list, so it has to already be familiar:

dydx=2sinxcosx\dfrac{dy}{dx} = 2\sin x \cos x

Step 2, recognise the given double angle formula. The list supplies sin2A=2sinAcosA\sin 2A = 2\sin A \cos A, which matches the expression exactly:

Double angle formula (given)Given in the exam
sin2A=2sinAcosA\sin 2A = 2\sin A\cos A

Step 3, rewrite the answer. dydx=sin2x\dfrac{dy}{dx} = \sin 2x, so k=1k = 1.

This is typical of how the two categories work together: the chain rule had to come from memory before the question could even begin, and the given identity then did the work of simplifying the answer into the requested form.

Building your own memorise list

Since the formula list is fixed, the only variable in this picture is how well you know everything else. Building a short personal list of what you tend to forget is more useful than re-reading the whole syllabus evenly.

  • After each practice set, note down any result you had to pause and think about, not to look it up, but to notice it's a gap in your memory.
  • Group your own list by chapter rather than by formula type, since that's how questions actually present themselves, a calculus question, a coordinate geometry question.
  • Re-test yourself on that shorter list regularly, rather than passively re-reading the syllabus from the start each time.

Over a few weeks this turns a vague sense of 'I should know this' into a specific, shrinking list you can actually close out.

How one-to-one teaching can help

For most students, it's genuinely hard to know which formula belongs to which category until someone checks their working question by question. A teacher working one-to-one can quickly spot whether you're fumbling for a formula you should already remember, or trying to recall something you could simply have looked up, and build your personal memorise list with you from there.

Our teachers are experienced; lessons are taught online, in English, while the SPM papers themselves are set bilingually in Bahasa Melayu and English.

If you'd like help sorting out your own list, a one-hour paid trial class, at the teacher's own rate, from RM50 per hour depending on experience, is a good way to start. We won't promise a grade, but knowing exactly what to memorise versus what to look up often saves more study time than most students realise.

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Frequently asked questions

How many formulas are on the SPM Add Math given list?

24 in total, 6 in algebra, 6 in statistics, 9 in trigonometry, and 3 in geometry.

Are the differentiation and integration rules given in the exam?

No. They are not part of the 24 formulas on the given list, so they need to be memorised, even though they're used constantly across both papers.

What's the easiest way to tell if a formula is given or must be memorised?

If it appears on the printed formula list, the 24 covering algebra, statistics, trigonometry, and geometry, it's given. Everything else in the syllabus, including differentiation, integration, and the laws of indices and logarithms, is expected to be memorised.

Why isn't everything on the syllabus just given, to make it simpler?

The list exists to remove one specific kind of memory load, long or easily mis-stated results, not to remove the need to understand the syllabus. Knowing how and when to apply a rule is still the actual skill being tested.

Source:SRC-FORMAT

Written by the spmaddmath.com.my editorial team.· Last updated 5 September 2026

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