A-Level Maths Formula Booklet: What's Given, What You Must Memorise

The A-Level Maths formula booklet (issued by Edexcel, AQA, OCR and other UK exam boards) contains the formulae, identities and statistical tables you're allowed to use in the exam without memorising them — things like standard integrals, some trigonometric identities, mechanics equations and statistical distribution formulae. It does not contain everything you need: core skills such as differentiation and integration rules, key trig identities, exact trig values and algebraic techniques still have to be memorised and applied fluently, because the booklet only gives you the "what," not the step-by-step method for using it under exam conditions.

What's Actually Given in the Formula Booklet

Every major board publishes its own free formula booklet (Edexcel's is the same document used in the real exam hall, and AQA publishes its equivalent as Appendix B alongside a formulae and statistical tables PDF). Broadly, these booklets are built around formulae that are either too long to memorise reliably, too easy to misquote under pressure, or standard reference material like statistical tables. Confirmed examples that typically appear in the booklet include:

• Standard integrals and some standard derivatives for less common functions
• The general binomial expansion formula for non-positive-integer powers
• Several trigonometric identities, including compound-angle and double-angle formulae
• Mechanics formulae such as the suvat equations and moments/centre of mass relationships
• Statistical formulae and distribution tables, including the normal distribution table
• Numerical methods formulae, such as the trapezium rule

The exact contents vary slightly by board and by specification version, so it's worth downloading the current PDF for your board directly from Pearson Edexcel or AQA rather than relying on an old copy — formulae have occasionally been added or removed between specification updates.

What You Still Have to Memorise

This is the part students consistently underestimate. Even with the booklet in front of you, examiners expect fluency with a set of "core" results that aren't printed anywhere in the exam. Well-established examples that A-Level Maths students are expected to know from memory include:

• The core differentiation and integration rules, including d/dx(sin x) = cos x, d/dx(cos x) = −sin x, and the derivatives/integrals of standard polynomial and exponential terms
• Fundamental trig identities such as sin²x + cos²x = 1, tan x = sin x / cos x, and 1 + tan²x = sec²x
• Exact trig values for 0°, 30°, 45°, 60° and 90°
• The binomial expansion for positive integer powers (as opposed to the general expansion, which is given)
• Algebraic rearrangements of formulae that are given in a different form to how you need to use them

That last point catches a lot of students out. Boards frequently print a formula in one arrangement — for example a suvat equation solved for displacement — and then ask a question that requires you to rearrange it to solve for time or acceleration instead. The booklet gives you the formula; it doesn't do the algebra for you.

Why Relying Only on the Booklet Is a Common Mistake

Knowing a formula exists in the booklet and being able to use it quickly, accurately and under time pressure are two very different skills. A-Level Maths papers are tightly timed, and every second spent flicking through the booklet, second-guessing a formula, or re-deriving a rearrangement is a second you don't have. Common problems this causes in real exams include:

• Losing time hunting through the booklet for a formula that should be instant recall, leaving less time for genuinely hard questions
• Misreading a formula under pressure because it's the first time you've seen it since the mocks
• Failing to spot which given formula applies to a question, because you've never practised recognising it in context — only reading it in isolation
• Running out of time to check answers, because early questions took longer than they should have

Examiners design questions assuming students have internalised the core toolkit and only need the booklet for the genuinely complex or rarely-used results. Treating the booklet as a substitute for memorisation, rather than a backup for the formulae you're not expected to know, is one of the most common reasons strong students underperform relative to their mock grades.

A Practical Memorisation and Practice Strategy

The most effective approach combines active recall with exam-style application, not passive re-reading:

1. Build your own "must-memorise" list. Go through several past papers and mark section by section which formulae you reached for that weren't in the booklet. This list is usually shorter than students expect — often 15 to 30 formulae across the whole course.
2. Use spaced flashcards, not one big cram session. Short, repeated retrieval practice — testing yourself a few minutes a day — beats a single long revision block for long-term recall.
3. Practise applying formulae, not just reciting them. Work through past paper questions with the booklet closed for the formulae on your must-memorise list, and only open it for the ones genuinely provided.
4. Time yourself. Fluency means being able to produce the right formula and start applying it within seconds, not minutes.
5. Re-test the rearrangements. If a formula in the booklet is given in one form, practise rearranging it for every variable it could plausibly be asked for.

This is where a lot of self-study falls down — it's easy to feel confident after reading a formula sheet, but that confidence often doesn't hold up under exam-style questioning until you've actually drilled it.

How Applaa's AI Tutor Helps You Drill the Formulae That Must Be Memorised

Applaa is a free UK AI learning platform built for GCSE, A-Level, 11+ and coding students, and its AI tutor is designed for exactly this kind of targeted formula practice. Instead of generic flashcards, Applaa can generate topic-specific A-Level Maths questions that focus on the formulae you're expected to know from memory — trig identities, differentiation and integration rules, and algebraic rearrangements of "given" formulae — and mark your working in real time so you can see exactly where recall or application is breaking down.

Because Applaa adapts to what you get wrong, it naturally builds a personalised drill list that mirrors the "must-memorise" strategy above, without you having to manually track it across dozens of past papers. Students preparing for Edexcel, AQA or OCR A-Level Maths can use Applaa alongside the official formula booklet: practise the memorised formulae until they're instant, and reserve the booklet for the results it's genuinely there to provide.

If you want to stop losing marks on formulae you technically "know" but can't produce fast enough under exam conditions, try a focused practice session on Applaa's A-Level Maths tools today — it's free, and it's built specifically around the UK exam boards' specifications.