Edexcel GCSE Maths Higher formulae sheet: A complete guide

GCSEMathsexam prep
By Amadeus Carnegie
11 min read
Amadeus Carnegie

If you're sitting Edexcel GCSE Maths Higher tier in 2027, there's a formulae sheet handed out with every paper. The thing to know up front is that it looks nothing like Appendix 3 of the 2015 specification document, which only lists four shape formulae for cones and spheres. The sheet you actually sit with is a much longer Ofqual-sanctioned insert that was brought in from 2022 onwards.

The lore was that this would only be around for a couple of years because of Covid. Then on 5 May 2026 Ofqual confirmed the sheets will carry on for the lifetime of the current specifications, so it's part of the furniture now.

The awkward bit is that if you revise from an older textbook or an out-of-date spec summary, you'll walk in thinking you need to memorise the quadratic formula, the sine rule, the cosine rule and compound interest. You don't. All of those are on the sheet your invigilator will drop in front of you.

This guide walks through what's on the current sheet, what you still have to bring in from memory, where to download the official PDF, and how Edexcel's version lines up with AQA and OCR.

This article was last checked against official sources on 14 October 2026. Specifications and exam materials change often, so cross-check each named source before relying on specific detail.

Last checked

The pre-2022 Appendix 3 of the Edexcel 1MA1 specification lists only four shape formulae (cone surface area, sphere surface area, sphere volume, cone volume). That is not the sheet you sit with in 2027. The current sheet is the Ofqual-provision supplementary insert, which covers the formulae you used to have to memorise. The cone and sphere formulae are still printed inside the questions that need them. Download the current PDF from Pearson's assessment-resources page before your exam.

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What the current sheet actually is

The Higher sheet is the Ofqual-sanctioned supplementary insert, printed with every exam paper from the 2022 series onwards. Pearson publishes a fresh version each year and the content stays the same, with only presentational tweaks possible for the lifetime of the specification.

It's handed to every candidate at the start of the exam alongside the question paper. You can write on it, keep it next to you throughout, and nobody expects you to hand back the clean copy at the end. You get it in all three papers, so Paper 1 (non-calculator) as well as Papers 2 and 3. That's worth flagging because plenty of students assume the sheet is a calculator-paper thing.

The sheet doesn't replace what the spec expects of you, though. Pearson still wants you to use and rearrange formulae yourself, and it won't do any of the thinking for you. It gives you the standard forms. Recognising which one a question needs and setting it up correctly is on you.


What's on the Higher sheet for 2027 exams

The Higher sheet groups the formulae into blocks by topic. The list below reflects what Pearson has published through recent exam series. Check the current year's PDF before your exam, because the presentation can shift a bit from year to year.

Algebra

FormulaStatementWhen you use it
Quadratic formulax = (-b ± √(b<sup>2</sup> - 4ac)) / 2a (solving ax<sup>2</sup> + bx + c = 0)Any quadratic that doesn't factorise cleanly
The algebra block on the Higher sheet. The quadratic formula is Higher-only and doesn't appear on the Foundation sheet. Kinematics (suvat) equations aren't on the sheet either; Pearson prints those inside the question that needs them.

Trigonometry

FormulaStatementWhen you use it
Pythagoras' theorema<sup>2</sup> + b<sup>2</sup> = c<sup>2</sup>Right-angled triangles, finding a missing side
Right-angled trig ratiossin A = a/c; cos A = b/c; tan A = a/b (opposite/hypotenuse etc.)Right-angled triangles, finding a missing side or angle
Sine rule (Higher-only)a / sin A = b / sin B = c / sin CNon-right-angled triangles with a side-angle pair known
Cosine rule (Higher-only)a<sup>2</sup> = b<sup>2</sup> + c<sup>2</sup> - 2bc cos AFinding a third side given two sides and the included angle, or an angle given three sides
Area of a triangle (Higher-only)Area = ½ab sin CAny triangle where you know two sides and the included angle
The trigonometry block on the Higher sheet. Pythagoras and SOHCAHTOA show up on both tier sheets. Sine rule, cosine rule and ½ab sin C are Higher content only.

Perimeter, area and volume

FormulaStatementWhen you use it
Area of a trapezium½(a + b)hAny trapezium with the two parallel sides and perpendicular height known
Volume of a prismcross-section area × lengthAny prism (triangular, rectangular, hexagonal and so on)
Circumference of a circleC = 2πr (or πd)Any circle perimeter question
Area of a circleA = πr<sup>2</sup>Any circle area question
The mensuration block on the sheet. Cone, sphere and pyramid formulae are not on it; Pearson prints those inside the questions that need them.

Compound interest and probability

FormulaStatementWhen you use it
Compound interestTotal = P(1 + r/100)<sup>n</sup>Any growth or depreciation problem over multiple periods
Probability (OR rule)P(A or B) = P(A) + P(B) − P(A and B)Combining probabilities of two events
Probability (AND rule)P(A and B) = P(A given B) × P(B)Conditional and dependent events
Compound interest and the two probability rules. These were in the memorise-list on the pre-2022 spec and are now on the sheet.

The Edexcel 2015 specification still describes the pre-2022 list as the thing students have to recall. The sheet you sit with is the Ofqual supplementary provision bolted on top. Read it as additional to the spec text, not a replacement. The current PDF on Pearson's assessment-resources page is the exam-day source of truth.

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What you still need to recall

The sheet is broad but it isn't the whole picture. You've still got a decent chunk to bring in from memory, and some of it catches people out because it feels like the kind of thing that should be printed.

Straight-line geometry sits firmly in the recall bucket. The equation of a line y = mx + c, the gradient formula (y2 − y1) / (x2 − x1), the midpoint formula and the distance between two points. None of those are on the sheet.

Algebra is a mixed bag. The sheet gives you the quadratic formula, but it doesn't give you the laws of indices, the completed-square form, or anything about surds. All expected content, all come up in every Higher paper.

Sequence rules are expected knowledge too. nth-term formulae for arithmetic sequences, geometric sequences and the quadratic sequence rule are all memory work.

Area of a parallelogram, base × perpendicular height, isn't on the sheet. The trapezium formula is, but the parallelogram one isn't, so learn it as a standard result.

Transformations, loci, vectors and the circle theorems are all expected Higher content and none of them appear on the sheet.

Quick reminder on what IS printed, so you don't waste revision time memorising what you don't need to: area of a trapezium, volume of a prism, circumference and area of a circle, Pythagoras, the right-angled trig ratios (SOHCAHTOA), sine rule, cosine rule, ½ab sin C, the quadratic formula, compound interest and both probability rules are all on the current sheet. Cone, sphere, pyramid formulae and the kinematics equations are not, but Pearson prints those inside any question that needs them.


How this compares with AQA and OCR

At content level, the sheets across boards are near-identical. All three boards are governed by the same DfE subject content and the same Ofqual provision, so the formulae themselves don't vary. What varies is the layout.

AQA presents its Higher sheet with headings like 'Perimeter, area and volume' and 'The quadratic formula'. OCR, which the 2015 spec text somewhat confusingly describes as having 'no formula sheet', actually ships a sheet in practice that mirrors AQA's content with slightly different section ordering. The current GCSE Maths formula sheet is the common Ofqual-specified set, printed with every paper from 2022 onwards. Pearson's pre-2022 Appendix 3 (cone and sphere) is no longer the live reference; those are now given in the question.

For exam day, the best thing to do is practise with your own board's current PDF, not a generic version. Layout familiarity saves time, and swapping between boards' presentations under exam pressure is a drain you don't need. If you're switching schools or using cross-board resources, double-check the exact ordering and wording from Pearson's own PDF before your mocks. Our GCSE formula sheets guide covers the provision across all boards and subjects.


Study tips for using the sheet well

Having every formula in front of you is a safety net, not a shortcut. Students who treat the sheet as a last resort rather than a working tool end up losing time hunting for things they could have found quickly with a bit of practice.

Print the current Pearson PDF and physically keep it next to every past paper you sit at home. Glancing at the sheet, finding the formula, and coming back to the question is a motor skill. Build it before exam day. By the time you've done five or six papers with the sheet alongside you, you'll know roughly where every formula lives, and you won't spend thirty seconds scanning for the quadratic formula in a question where you've only got two minutes anyway.

Mark the three Higher-only trig formulae and the quadratic formula clearly on your print-out. Those are the ones most students reach for on calculator papers, and finding them quickly matters. Highlight compound interest too. It's easy to lose marks on because the question often phrases things as 'depreciation at r% per year' (so r is negative) rather than straightforward growth.

Write the formula out before substituting numbers. Even with the sheet in front of you, examiners award a method mark for setting the formula up correctly before you touch the arithmetic. Students who skip straight to the calculation sometimes drop that mark on arithmetic they later get wrong. Our guide to showing your working in GCSE maths covers the formula-writing habit and other method-mark techniques.

For the sine and cosine rule, draw the triangle and label the sides and angles before you pick a rule. The sheet gives you both but doesn't tell you which fits a given set of knowns. That bit is on you.


How Cognito helps

If your revision runs on structured lessons rather than reading the spec cover to cover, Cognito's Edexcel GCSE Maths Higher course walks through every formula on your sheet with worked examples. The sine rule, cosine rule, quadratic formula and compound interest each have their own video lesson plus a quiz block testing you on when to reach for which. Trig especially benefits from seeing the triangle setup rather than reading the rule off a page.

The formulae you still need to recall (straight-line geometry, laws of indices, completed-square form, surds, nth-term rules and the parallelogram area) are covered under Geometry and Algebra. Working through those alongside your print-out of the sheet is the fastest route to being quick with the formulae you have, and fluent on the ones you don't. Our guide to getting a grade 9 in GCSE Maths covers the exam-technique patterns that go on top of formula knowledge.

Six practical steps for using the sheet well across all three papers.

  • Download the current year's PDF from Pearson's GCSE Maths assessment-resources page
  • Print it and keep it next to every past paper you sit at home
  • Highlight the quadratic formula, sine rule, cosine rule, ½ab sin C and compound interest for quick access
  • Know Pythagoras, circumference and area of a circle, trapezium area and prism volume well enough not to need the sheet for them, even though all four are printed on it
  • Write each formula out explicitly before substituting numbers in every practice question
  • Draw the triangle before choosing between sine rule and cosine rule, because the sheet doesn't tell you which fits
Edexcel GCSE Maths Higher formulae sheet revision checklist

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