GuidesMathsPaper 2 · last-minute revision
3 days to go

GCSE Maths OCR Paper 2: last-minute revision

Paper 2 is non-calculator, 1 hour 30 minutes, 100 marks. OCR also tests some topics AQA and Edexcel do not, check you have covered them. Here is where the marks are.

OCR J560
The plan

Your 3-day plan

One focus per day, building to a timed run. Work it in order.

3
3 days to go

Non-calculator arithmetic and the topics unique to OCR

  • Drill fraction arithmetic, standard form, and surds by hand. No calculator, this is exactly how Paper 2 will test you
  • If you are Higher tier, learn the equation of a circle, x squared plus y squared equals r squared, this is OCR-only content, AQA and Edexcel do not test it
  • Rebuild the exact trig values table from scratch (sin, cos, tan of 30 degrees, 45 degrees, 60 degrees). Higher tier, non-calc
2
2 days to go

Statistics, sampling, and non-calculator number work

  • Learn stratified sampling: how to calculate a sample size in proportion to a population subgroup, this is explicitly tested by OCR
  • Practise long multiplication and division by hand, and converting recurring decimals to exact fractions
  • Work through histogram questions: frequency density, not frequency, is the height of the bar
1
1 day to go

Light review, not new content

  • Re-read your surd simplification rules and exact trig values one more time
  • Skim your percentage and ratio methods, and check you can do them without reaching for a calculator
  • Get an early night. A clear head reads word problems more accurately than a tired one does
Priority order

The topics that come up most

Ranked from analysed past papers. Start at the top: if you run out of time, you will have covered the most-tested ground.

1

Exact Trig Values

Higher tier only. A reliable non-calc question: sin, cos, tan of 30 degrees, 45 degrees, 60 degrees, built from the two special triangles rather than memorised blind

2

Surds

A recurring non-calc topic. Simplifying, rationalising, and combining surds is a common show-that question

3

Standard Form

High frequency across the whole spec. On a non-calculator paper, expect to multiply or divide numbers in standard form by hand

4

Fraction Operations

Adding, subtracting, multiplying, and dividing fractions by hand is a core non-calculator skill that underpins many longer word problems

5

Sampling Methods

OCR-only content. Random, systematic, and stratified sampling, plus identifying bias, is explicitly named and tested by OCR in a way AQA does not examine as directly

6

Equation of a Circle

Higher tier and OCR-only. x squared plus y squared equals r squared, and finding a tangent to a circle at a given point. Not tested by AQA or Edexcel, so do not skip it if your board is OCR

7

Recurring Decimals

Higher tier. Converting a recurring decimal to an exact fraction using algebra, a classic non-calculator show-that question

8

Histograms

Higher tier only. The bar height is frequency density (frequency divided by class width), not frequency, one fact worth learning properly

Your Knowledge Organisers

PrepWise has a one-page Knowledge Organiser for every topic above. In the final 3 days, use them the same way each time: cover the page, try to recall the method and a worked example from memory, check what you missed, then repeat the next day.

Open the Maths Knowledge Organisers
Cheat sheet

Exam technique

Rules specific to Paper 2. On this paper, structure earns as many marks as knowledge.

1

Show your working, every time

Method marks are your safety net on a non-calculator paper. If your final answer is wrong but the examiner can see a correct method (correct formula, correct substitution, correct rearrangement), you still pick up marks. A right answer with no working can lose marks under OCR's mark scheme too.

2

Keep exact values exact

On Paper 2, do not convert surds or fractions to decimals unless the question asks for it. Root 12 stays as 2 root 3, one third stays as a fraction. Converting early loses accuracy marks and often makes the next step harder, not easier.

3

'Show that' means write every line

For show-that questions (common with exact trig values, recurring decimals, and algebraic proof), you are not finding an answer, you are demonstrating a fact. Write out each algebraic step in full, even ones that feel obvious.

4

Check the OCR formula sheet, do not assume it matches AQA's

OCR provides a formula sheet on every paper, but its contents differ slightly from AQA and Edexcel. Look at a recent OCR past paper's formula sheet before the exam so you know exactly what is given and what you need to recall.

5

Watch for OCR-only content

Equation of a circle and stratified sampling calculations are OCR-specific. If you have used AQA revision materials alongside your OCR revision, double-check you have not skipped these because they were not covered there.

Avoid these

5 mistakes that cost marks

The errors examiners see most on this paper. Each one is an easy mark you already know how to keep.

Rounding a surd or fraction to a decimal partway through a non-calculator questionKeep the exact form (surd or fraction) all the way through. Only convert if the question specifically asks for a decimal or rounded answer

Calculating a stratified sample size using the wrong ratio (mixing up the subgroup and the total population)The formula is: sample size x (subgroup size divided by total population size). Write out the subgroup and total clearly before dividing

Forgetting the tangent to a circle is perpendicular to the radius at that pointFind the gradient of the radius first, then use the negative reciprocal for the tangent's gradient. This links directly to the parallel and perpendicular gradients topic

Mixing up sin, cos, and tan for the exact values tableRebuild the table from the two special triangles (equilateral split in half for 30/60, right-angled isosceles for 45) rather than memorising numbers you might muddle under pressure

Getting stuck converting a recurring decimal to a fraction because the algebra steps were not learned in orderLet x equal the recurring decimal, multiply by a power of 10 to line up the repeating digits, subtract the two equations, then solve for x. Practise this exact sequence until it is automatic

Exam day

The morning of the exam

The 60 minutes before you walk in. Review what you know and settle your nerves.

  • Check your pencil case: pen, pencil, ruler, protractor, compasses. None of these need a calculator, so there is no excuse to be missing them on Paper 2
  • Skim the exact trig values table one final time. It is quick to forget under pressure and quick to refresh
  • Remind yourself: no calculator means keep fractions as fractions and surds as surds until the question says otherwise
  • If you are Higher tier, remind yourself of the equation of a circle and the stratified sampling formula, both are OCR-specific and easy to blank on under pressure
  • Attempt every question, even partially. A method mark for a half-finished answer beats a blank box
  • Leave your last 5 minutes to check unanswered questions, not to redo ones you have already completed

Now test yourself

You do not revise maths by reading it. Work exam-style questions in PrepWise, get them marked instantly, and see exactly which topics still cost you marks.

Practise Maths questions

Start the 3-day plan now

Open the Maths Knowledge Organisers, quiz every priority topic and walk in ready. Free during alpha.

Get started with your personalised revision
Get started with your personalised revisionStart here