OCR GCSE Maths Higher formulae sheet: A complete guide

GCSEMathsexam prep
By Tom Mercer
11 min read
Tom Mercer

If you're sitting OCR GCSE Maths Higher tier (specification J560) in 2027, there's a tension worth getting straight before you revise. The OCR specification itself says, verbatim: 'The assessment for this specification will not include a formula sheet. All formulae which learners are required to know are given in the specification under 6.02d. All other formulae required will be given in the assessment.' That's the design intent of the 2015 spec.

In practice, OCR has issued a supplementary formulae sheet with every GCSE Maths paper since 2022, under Ofqual's temporary provision for post-pandemic exam recovery. Ofqual's May 2026 decision confirmed the sheet provision continues for the lifetime of the current specifications. So the spec text and the exam-day reality say different things, and the Ofqual provision overrides the spec.

If you've seen the spec body quoted somewhere describing OCR as 'no formula sheet', it's technically accurate for the pre-2022 design but doesn't describe what you'll actually sit with. You will get a sheet. This guide walks through what's on it, what section 6.02d still requires you to recall under the specification, and where the sheet overlaps with Edexcel and AQA.

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

Last checked

OCR's spec text still says no formula sheet. The current Ofqual provision overrides this, you sit the exam with a supplementary sheet printed with every paper. The spec body hasn't been updated to reflect the change, so quoting it as 'current practice' is misleading. Verify the current year's provision against OCR's assessment-resources page before your exam.

Good to know

What the current sheet actually is

OCR's current Higher formulae sheet is the Ofqual-sanctioned supplementary insert, issued with every J560 paper from the 2022 series onwards. OCR publishes the current year's PDF under the J560 qualification page.

The sheet is given to every candidate alongside the question paper. You get it in all three Higher papers (Paper 4, Paper 5 and Paper 6), including Paper 5, the non-calculator one. Each OCR Maths paper is 100 marks (not 80 like Edexcel or AQA), so the total paper pool is 300 marks across the series.

The practical effect: the spec's distinction between 'formulae in 6.02d that students must recall' and 'formulae given in the question' is less sharp than it was pre-2022. Items that the spec expects you to recall under 6.02d, the quadratic formula, the sine rule, the cosine rule, are now also printed on the supplementary sheet. The spec still expects you to use and rearrange them, but it doesn't ask you to pull them from memory under exam conditions.


What's on the Higher sheet for 2027 exams

The current OCR Higher sheet mirrors the content of section 6.02d plus the Ofqual-provision items. Verify against OCR's assessment-resources page for the current year's PDF, the headline items below reflect the content that has been on the sheet in recent series.

Algebra

FormulaStatementWhen you use it
Quadratic formulax = (-b ± √(b<sup>2</sup> - 4ac)) / 2aAny quadratic that doesn't factorise cleanly
The algebra block on the Higher sheet. The quadratic formula sits in section 6.02d of the specification and is printed on the Higher sheet. The kinematics (suvat) equations in section 6.02e are NOT on the sheet; OCR prints them inside any 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 where you know a side-angle pair
Cosine rule (Higher-only)a<sup>2</sup> = b<sup>2</sup> + c<sup>2</sup> - 2bc cos ANon-right-angled triangles, usually with two sides and the included angle, or three sides
Area of a triangle (Higher-only)Area = ½ab sin CAny triangle with two sides and the included angle known
The trigonometry block on the Higher sheet. Pythagoras and the right-angled trig ratios are on both tiers; sine rule, cosine rule and ½ab sin C are Higher-only. OCR's spec confirms these under 6.02d.

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 Higher sheet. The sphere, cone and pyramid formulae in sections 10.04b and 10.04c are NOT on the sheet, OCR prints them inside any question that needs them.

Compound interest and probability

FormulaStatementWhen you use it
Compound interestTotal = P(1 + r/100)<sup>n</sup>Any multi-period growth or depreciation question
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 probabilities and dependent events
Compound interest and probability. OCR's spec covers compound interest in section 5.03a (problems involving multipliers); it is not in the 6.02d recall list, and it is now on the sheet ([OCR J560 spec](https://www.ocr.org.uk/Images/168982-specification-gcse-mathematics.pdf)).

OCR's 6.02d memorise list and the formulae now printed on the supplementary sheet are two different documents that happen to overlap. The spec text hasn't been updated. The current PDF on OCR's J560 assessment-resources page is the exam-day source of truth.

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What you still need to recall

OCR's spec is clear that 6.02d sets the formulae a student must be able to use and rearrange under exam conditions. The sheet doesn't change that expectation, it just means you won't have to retrieve them from memory. Beyond 6.02d, the spec has a longer recall list across the full content tables.

Circumference and area of a circle are the most important ones. Under 6.02d, OCR lists C = 2πr = πd and A = πr2 in the 'Initial learning' column, expected for every student, Foundation and Higher. These are printed on the sheet.

Pythagoras' theorem (a2 + b2 = c2) and the basic trig ratios (SOHCAHTOA) are under 6.02d in the Foundation tier column. The ratios and Pythagoras' theorem are both reproduced on the sheet.

Area of a trapezium = ½(a + b)h, area of a parallelogram = base × height, and volume of a prism = area of cross-section × length are all in the content tables (10.03 and 10.04). Trapezium area and prism volume are printed on the current sheet; the parallelogram formula isn't, so learn that one as a standard result.

Straight-line geometry (y = mx + c, gradient = (y2 − y1) / (x2 − x1), midpoint and distance between two points) is derivation territory, not sheet content.

Algebra fundamentals: laws of indices, completing the square, surds, inequalities. Expected content, not sheet content.

Sequence rules: nth-term rules for arithmetic and quadratic sequences, geometric common ratios. Again, derivation and recall, not sheet.


How OCR compares with Edexcel and AQA

The sheets are governed by the same DfE subject content and the same Ofqual provision, so at content level they overlap heavily. The main differences are presentational and structural.

OCR's spec is the only one that states 'no formula sheet' outright (AQA and Edexcel also had no sheet before 2022, giving formulae within questions; see the AQA 8300 spec). The current sheet is strictly an Ofqual-provision overlay. The sheet mirrors AQA's content closely but with different section labels and sometimes different 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 formulae) is no longer the live reference, those formulae are now given in the question. Our general GCSE Maths formulae sheet guide covers the shared core content and the subtle delta across boards.

For exam day, print your own board's current PDF and practise with it. Students who revise with cross-board resources sometimes end up with AQA's or Edexcel's layout in their heads and lose a few seconds on OCR's version because the ordering doesn't match.


Study tips for using the sheet well

Treat the sheet as a working tool from question one, not a last-resort reference. Students who only open the sheet when stuck lose time hunting; students who glance at it from the start of the paper find things in a fraction of the time.

Print OCR's current PDF for J560 and physically slot it next to every past paper you sit at home. Build the habit of reaching across to the sheet, finding the formula, and coming back to the question. By the time you've done five or six papers with the sheet alongside you, you'll know roughly where every formula lives.

For the Higher-only trig formulae, draw the triangle and label sides and angles before choosing between sine rule and cosine rule. The sheet gives you both, but it doesn't tell you which to use. Pattern-recognition is on you.

Write each formula out explicitly before substituting numbers. Even with the sheet in front of you, examiners award a method mark for setting the formula up correctly. Students who go straight from the question to the arithmetic sometimes drop that mark on arithmetic they later get wrong.

Rearrange on paper, not in your head. The sheet gives you one form of each equation; the question often needs a different subject. Writing out the rearranged version before the numbers go in is slower than doing it mentally, but it's much more reliable under exam pressure.

Memorise the short recall items, circle circumference and area, Pythagoras, trapezium area, because glancing to the sheet for these costs time you don't need to spend. The sheet is a backup for the awkward formulae, not a replacement for fluency on the common ones. Our grade-9 GCSE Maths guide covers formula fluency and the exam-technique patterns that go with it.


How Cognito helps

If your revision runs on structured lessons rather than reading the spec cover to cover, Cognito's OCR GCSE Maths Higher course walks through every formula on your sheet with worked examples. The quadratic formula, sine rule, cosine rule and ½ab sin C each have a video lesson plus a quiz block testing you on when to apply which. The kinematic equations aren't on the sheet (OCR prints them inside any question that needs them), but if you want the setup practice, they're covered in the applied-maths topic area.

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. For broader exam-day pacing, our hardest GCSE Maths questions guide covers the question types where formula fluency makes the biggest difference.

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

  • Download the current year's PDF from OCR's J560 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
  • Learn Pythagoras, circumference and area of a circle, trapezium area and prism volume by heart
  • 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
OCR GCSE Maths Higher formulae sheet revision checklist

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