UK / OJ1 / 01
GCSE Maths
OCR 1 to OCR 12 at the student's tier.
Open the syllabusEngland · OCR GCSE (9-1) Mathematics J560 · Years 10 and 11
OCR's GCSE Maths looks like the other English boards from a distance: two tiers, three papers each, 90 minutes a paper. Up close it has its own habits. Its papers are marked out of 100, not 80. It numbers the Foundation papers 1 to 3 and the Higher papers 4 to 6. And it starts each tier with a calculator paper, putting the non-calculator paper in the middle. That last choice shapes how a student should practise, and OCR's own examiners wrote about it in 2025 from both directions: Foundation students who would not use a calculator when they should, and Higher students who used one where it made the question harder. This page sets out the papers with the dates from OCR's own November 2026 and June 2027 timetables, explains the three-column specification, and works three original questions around the calculator decision.
Live teaching since 2020 · 10,000+ students · Built from OCR's J560 specification v2.1 and Summer 2025 examiners' reports
In short
OCR GCSE (9-1) Mathematics J560 is the GCSE Maths qualification from Cambridge OCR, sat in England at the end of Year 11. Foundation (grades 5 to 1) is Papers 1 to 3 and Higher (grades 9 to 4) is Papers 4 to 6, each 100 marks and 1 hour 30 minutes, with a calculator allowed on the first and third paper of each tier. OCR's June 2027 papers fall on Friday 14 May 2027, then Thursday 27 May, then Monday 14 June. Modern Age Coders teaches J560 live online, tier by tier, in the course GCSE Maths: Foundation and Higher; families choose 1-on-1 lessons or a batch of 15 to 20. We are independent of OCR.
Start here
Most J560 students join the first. The second is for the indices, surds and algebra that OCR's Higher report flagged; the third is for students retaking J560 once school is over.

OJ / 01
All twelve OCR content areas at the student's tier, with OCR papers in OCR's calculator order.
Open the syllabus →
OJ / 02
Brackets, order of operations and setting algebra out cleanly, the habits OCR's Paper 4 report asked for.
Open the syllabus →
OJ / 03
For a J560 resit, including OCR's November series for students aged 16 or over.
Open the syllabus →The six papers
Two tiers, three papers in each, every paper worth 100 marks over 1 hour 30 minutes. The table follows the specification and OCR's final timetables.
| Paper | Tier | Calculator | Marks | November 2026 | June 2027 |
|---|---|---|---|---|---|
| J560/01 | Foundation | Permitted | 100 | Wed 4 Nov, morning | Fri 14 May, morning |
| J560/02 | Foundation | Not permitted | 100 | Fri 6 Nov, morning | Thu 27 May, morning |
| J560/03 | Foundation | Permitted | 100 | Mon 9 Nov, morning | Mon 14 June, morning |
| J560/04 | Higher | Permitted | 100 | Wed 4 Nov, morning | Fri 14 May, morning |
| J560/05 | Higher | Not permitted | 100 | Fri 6 Nov, morning | Thu 27 May, morning |
| J560/06 | Higher | Permitted | 100 | Mon 9 Nov, morning | Mon 14 June, morning |
A school enters each student for one of two entry options, J560F or J560H, and the student sits all three papers of that tier in the same series. OCR adds the three paper marks together and compares the total with the grade boundaries for that tier and series; no single paper carries a grade. The specification lists Foundation as "grades 5 to 1" and Higher as "grades 9 to 4", with a safety net on Higher: "An allowed grade 3 may be awarded on the Higher tier option for learners who are a small number of marks below the grade 3/4 boundary."
On 14 May 2027, students at AQA and Pearson Edexcel schools face a paper without a calculator while OCR students have one on the desk, so a student who borrows a revision timetable from a friend at another school can easily prepare for the wrong kind of paper. The safe habit is to write the OCR order on the wall: calculator, then non-calculator, then calculator.
OCR runs a November series, but only for "learners who have reached at least the age of 16 on or before 31st August of that calendar year". In practice it is a resit route for students past Year 11.
For November 2026, OCR's final timetable puts J560 on the 4th, 6th and 9th of the month, keeping the June calculator order.
The Ofqual qualification number is QN 601/4606/0, which is the code to give a college that asks exactly which GCSE was sat.
Private candidates may enter, but the specification says they "must be based in the UK" and need an OCR-approved centre willing to host them.
Sources: OCR GCSE Mathematics J560 specification (version 2.1, August 2026) and the OCR key dates and timetables page (final November 2026 and June 2027 GCSE timetables), read on 31 October 2026.
The calculator decision
OCR simply orders its papers that way; the specification says all content can appear on either kind. What matters is the judgement OCR's 2025 examiners kept returning to: when the calculator helps, and when it gets in the way.
The J560 specification is direct about calculators: "All content may be assessed on either the calculator or non-calculator papers." There is no list of calculator topics and non-calculator topics. Instead, each paper tests the same content with a different tool on the desk, and a student has to decide, question by question, whether to use it.
| Paper | The calculator problem | Other points the examiners made |
|---|---|---|
| J560/01, Foundation, calculator | "Candidates are expected to use a calculator on this paper." Yet "many used non-calculator methods that often lead to arithmetical errors." | Challenging topics included straight-line equations, trigonometry, population density, inverse proportion and bearings; no evidence that time ran short |
| J560/04, Higher, calculator | "even on a calculator paper, not every single question will require them to use their calculator." Using one on an indices question produced unmanageable numbers. | Truncated figures in working; missing brackets in algebra; "Show that" questions need working; proportionality equations not formed |
Read together, the two reports describe one skill seen from opposite ends. On Foundation Paper 1, students who did long multiplication by hand when the calculator was allowed made avoidable slips. On Higher Paper 4, students who pressed buttons on an index-laws question found themselves with enormous numbers and no way to show the method being tested. The Paper 4 report also lists "Many candidates truncated figures in their working, which often led to an inaccurate answer", a calculator habit of a different kind: copying four digits off the screen and carrying them forward.
On a calculator paper, any multi-digit arithmetic, any trigonometry and any compound calculation goes on the calculator. Hand methods there are a risk with no reward.
If a question is about index laws, surds, algebraic proof or exact values, the method is the point. Work it by hand, then use the calculator only to check.
Store intermediate values in the calculator memory, or write them to several more figures than the answer needs. Round once, at the end, as asked.
That three-part rule is ours, built from the two reports. We teach it explicitly because it is not something students pick up from practice alone: a student who has only ever sat AQA or Edexcel mocks will usually have practised the non-calculator paper first and the calculator papers later, and comes to OCR's order with the wrong instincts.
Source: OCR, J560/01 and J560/04 Examiners' reports, Summer 2025 series, linked from the J560 assessment page. We summarise and quote the reports and do not reproduce any question.
Three columns
Twelve numbered content areas, each written in three columns that build on each other. Foundation is the first two columns; Higher is all three.
OCR lays out the content in a way that differs from AQA's numbered references and from Pearson's typefaces. "The content of this specification is presented in three columns, representing a progression within the content strands." The columns are cumulative: "the expectation of a Foundation tier learner is exemplified by the first two columns and that of a Higher tier learner is the sum of the statements in all three columns." Each statement also carries an OCR reference such as 1.01a and the matching DfE reference, so a teacher can trace any line back to the national subject content.
| Area | Title in the specification | Area | Title in the specification |
|---|---|---|---|
| OCR 1 | Number Operations and Integers | OCR 7 | Graphs of Equations and Functions |
| OCR 2 | Fractions, Decimals and Percentages | OCR 8 | Basic Geometry |
| OCR 3 | Indices and Surds | OCR 9 | Congruence and Similarity |
| OCR 4 | Approximation and Estimation | OCR 10 | Mensuration |
| OCR 5 | Ratio, Proportion and Rates Of Change | OCR 11 | Probability |
| OCR 6 | Algebra | OCR 12 | Statistics |
Two notes in the content section are worth knowing. First, "Knowledge of the content of Key Stages 1 and 2 is therefore assumed, but will not be assessed directly", so primary arithmetic is never the topic of a question but is needed in almost every one. Second, OCR separates sketching from plotting: a sketch "does not have to be to scale" and is "drawn freehand", while a plot is drawn on graph paper from calculated points. Students who plot when asked to sketch waste minutes; students who sketch when asked to plot lose accuracy marks.
| Tier | AO1 standard techniques | AO2 reasoning and communication | AO3 problem solving | Paper total |
|---|---|---|---|---|
| Foundation (Papers 1 to 3) | 50 | 25 | 25 | 100 |
| Higher (Papers 4 to 6) | 40 | 30 | 30 | 100 |
The specification still says "The assessment for this specification will not include a formula sheet", listing the formulae to recall under reference 6.02d.
That line has been overtaken. Ofqual requires formulae sheets in GCSE Maths for 2025 to 2027 and again for every series from 2028 while this specification lasts, and OCR's J560 assessment page lists Foundation and Higher formulae sheets for the June 2027 and November 2027 series.
OCR's Paper 1 report lists among weaker candidates those who "did not know the correct formulae or use the formulae sheet".
Ofqual has also told the boards not to set a question a student could finish by copying from the sheet, so recall of 6.02d still pays: the sheet is a backstop, not a method.
Sources: OCR J560 specification version 2.1 (content sections 2b and 3g); OCR J560 assessment page, formulae sheets for 2027; Ofqual decisions on formulae sheets. Read on 31 October 2026.
Worked examples
Our own questions, not OCR's, on three habits the 2025 reports named: indices by hand, proportionality as an equation, and keeping accuracy through a calculation.
Question (ours). Find x if 2x + 1 = 83 ÷ 4.
Think first. Every number here is a power of 2. Writing them that way is the whole method; a calculator gives 128 and hides the structure.
Working. 8 = 23, so 83 = 29. 4 = 22. So 83 ÷ 4 = 29 − 2 = 27.
Answer. x + 1 = 7, so x = 6. Check: 27 = 128, and 512 ÷ 4 = 128. The calculator is used only for that check.
Question (ours). y is inversely proportional to the square of x. When x = 2, y = 15. Find y when x = 5.
Set up. Turn the words into an equation with a constant: y = k ÷ x². The report's weaker candidates left the proportion symbol in place; it has to go.
Working. 15 = k ÷ 4, so k = 60 and y = 60 ÷ x². When x = 5, y = 60 ÷ 25 = 2.4.
Sense check. x has grown, so y should shrink, and faster than x grows. From 15 to 2.4 fits.
Question (ours). A cylinder has radius 3.7 cm and height 12.5 cm. A cone with the same radius has the same volume. Find the cone's height, to 3 significant figures.
Working. Cylinder volume = π × 3.7² × 12.5 = 537.6... cm³. Keep this in the calculator memory rather than writing 537.
Cone. Volume = ⅓ × π × 3.7² × h. Setting equal: ⅓ × π × 3.7² × h = π × 3.7² × 12.5, so h = 3 × 12.5 = 37.5 cm.
The lesson. The algebra cancels π × 3.7² entirely. A student who rounds the first volume to 538 and divides gets 37.53..., and has to hope it rounds the right way. Spotting the cancellation needs no calculator at all.
Example 1 rewards putting the calculator down. Example 2 rewards writing the equation before calculating. Example 3 rewards algebra before arithmetic, then full accuracy if arithmetic is needed.
That is the judgement OCR's examiners describe, and it is a better use of revision time than another unmarked past paper.
Practice set (ours, answers at the end). (1) Without a calculator, write 94 × 3−2 as a power of 3. (2) p is directly proportional to the cube of q; p = 54 when q = 3; find p when q = 5. (3) With a calculator, work out (4.6² + 2.9) ÷ (1.85 − 0.37) to 3 significant figures. (4) Simplify √12 + √27 without a calculator. (5) Sketch y = x² − 4 and label where it crosses the axes. Answers: (1) 36; (2) 250; (3) 16.3; (4) 5√3; (5) a parabola with its minimum at (0, −4), cutting the x-axis at −2 and 2.
A plan to June 2027
Our seven-month outline from November 2026 to Paper 3 or 6 on 14 June 2027, built around OCR's calculator order.
The plan is ours and is a template, not a promise of any grade. A Foundation student near grade 4 spends longer on OCR 2 and OCR 5, fractions and ratio; a Higher student aiming at 8 or 9 spends the spring on OCR 3, OCR 6 and OCR 7, where the indices, algebra and graphs sit. For a wider view of the boards, see our comparison of AQA, Edexcel and OCR.
Progression
Each rung is observable on a real OCR paper.
| Rung | When | What should be true |
|---|---|---|
| 1. Order known | On joining | Can say which J560 papers are calculator papers and on which mornings |
| 2. Calculator judgement | Year 10 summer | Chooses correctly between calculator and hand methods on a full Paper 1 or 4 |
| 3. Accuracy kept | Spring of Year 11 | No truncated intermediate values across a whole paper |
| 4. Working laid out | Before 14 May 2027 | Brackets, equations and "show that" steps written in order, top to bottom |
Rung one costs nothing and stops the commonest mismatch: revising for a non-calculator first morning that OCR students will not sit.
If computing is also on the timetable, see our OCR GCSE Computer Science J277 page.
Laying out working is a habit built over months. We mark layout as well as answers on every OCR paper.
Families receive a monthly note.
The catalogue
Grouped by when a J560 student usually needs them.
UK / OJ1 / 01
OCR 1 to OCR 12 at the student's tier.
Open the syllabusUK / OJ1 / 02
Brackets, order of operations and clean algebra.
Open the syllabusUK / OJ1 / 03
A J560 resit planned from the first attempt.
Open the syllabusUK / OJ2 / 01
OCR 11 and OCR 12 taken further.
Open the syllabusUK / OJ2 / 02
Hand arithmetic for Paper 2 or Paper 5.
Open the syllabusUK / OJ2 / 03
Fractions and ratio for students below grade 4.
Open the syllabusUK / OJ3 / 01
Pure, statistics and mechanics, for a confident Higher student.
Open the syllabusUK / OJ3 / 02
A second maths A level, for the keenest J560 students.
Open the syllabusUK / OJ3 / 03
An alternative Level 2 route after 16.
Open the syllabusHow lessons work
Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays. Classes are taught from India and timetabled in UK time.
After school
A regular slot for Years 10 and 11.
Evenings
Around homework and clubs.
Weekend mornings
Time for a full 100-mark paper.
OCR past papers and mark schemes, in OCR's own calculator order.
Every question marked for the tool choice as well as the answer.
Values kept in memory and rounded once, at the end.
Brackets, equations and "show that" working written in order.
A live class before any payment, to agree the starting point.
A batch of 15 to 20 J560 students at one tier, or 1-on-1.
Student work
Made in ordinary lessons and never assessed. See more in student labs.

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Questions about OCR J560
Three at each tier: Papers 1, 2 and 3 for Foundation and Papers 4, 5 and 6 for Higher. Every paper runs for 90 minutes and carries 100 marks, and a student takes the three together in one series.
Calculator. OCR allows a calculator on Papers 1 and 3 (Foundation) and Papers 4 and 6 (Higher); Papers 2 and 5 are the non-calculator papers. This is the opposite of AQA and Edexcel, whose Paper 1 is non-calculator.
OCR's final June 2027 timetable places J560 on Friday 14 May 2027, then Thursday 27 May, then Monday 14 June, each in the morning session. The November 2026 papers fall on 4 November, 6 November and 9 November 2026.
All three boards teach the same DfE content and award the same grades, so none is officially harder. OCR differs in layout: 100-mark papers, a three-column specification and a calculator paper first, which some students find suits them better and others less.
For the 2027 exams, yes. The specification still says there is no formula sheet, but Ofqual now requires formulae sheets in GCSE Maths, and OCR's J560 assessment page lists Foundation and Higher sheets for the June 2027 series.
Foundation awards grades 5 to 1 and Higher awards 9 to 4. On Higher, an allowed grade 3 may be given to a student a small number of marks below the grade 3/4 boundary.
OCR publishes some recent papers, mark schemes and examiners' reports on its J560 assessment page, and more through Teach Cambridge for schools. OCR also runs ExamBuilder, a free past-question service for centres.
Only students aged 16 or over by 31 August of that calendar year can enter, according to the specification. That makes November a route for students who have already left Year 11.
Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays. Times are set in UK time.
No. Modern Age Coders is independent of Cambridge OCR. We teach to the published J560 specification, use OCR's freely available papers and reports, and never promise a grade.
Elsewhere on this site
Comparisons, paper types, and life after the exam.
The three English boards compared.
Preparing for both kinds.
How the tier is chosen.
How OCR grades map onto the national scale.
The November series and the post-16 rules.
Every UK maths and computing page.
Part of the guide: UK maths exam boards and specification codes
More guides: UK maths year by year, Reception to Year 11 · UK selective school maths tests: 7+, 11+, 13+ and 16+ · UK university admissions: maths tests and computing applications · UK maths enrichment, competitions and able pupils
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