OCR GCSE · Analysis & Prediction

2022 OCR GCSE Mathematics - J560 Past Paper Analysis

The June 2022 OCR GCSE Mathematics J560 examination offered a balanced yet demanding mix of questions across both Foundation and Higher tiers, testing algebraic fluency, geometric constructions, and multi-step ratio problems.

Updated: 14 Jun 2026

Analysis Sample paper

Difficulty 3.2/5

Total marks

600

Duration

540 mins

Most tested

Combined events and probability diagrams

Paper breakdown

J560/01 Paper 1 (Foundation - Calculator): 100 marks · 90 minsJ560/02 Paper 2 (Foundation - Non-Calculator): 100 marks · 90 minsJ560/03 Paper 3 (Foundation - Calculator): 100 marks · 90 minsJ560/04 Paper 4 (Higher - Calculator): 100 marks · 90 minsJ560/05 Paper 5 (Higher - Non-Calculator): 100 marks · 90 minsJ560/06 Paper 6 (Higher - Calculator): 100 marks · 90 mins

Top chapters

Combined events and probability diagrams · 55 marksGraphs of equations and functions · 45 marksAlgebraic expressions · 45 marksInterpreting and representing data · 40 marksCalculations with ratio · 40 marks

Executive Difficulty Verdict

The OCR GCSE (9–1) Mathematics J560 June 2022 series (covering Papers 1 to 6) represents a moderate overall difficulty level (rated 3.2 out of 5). The papers were structurally balanced: early questions in the Foundation papers offered highly accessible marks for core arithmetic and basic statistics, while the final third of the Higher papers introduced rigorous multi-step algebraic proofs, geometric deductions, and trigonometric reasoning that tested the boundaries of top-tier candidates.

Where the Marks Are Placed

A significant proportion of marks in this series was allocated to Combined Events and Probability Diagrams, Graphs of Equations and Functions, and Algebraic Expressions. Candidates who mastered core linear representations, ratio splitting, and scatter graph analysis secured a strong baseline. Conversely, high-value marks were heavily concentrated in multi-step problem-solving questions, such as the pyramid-sphere volume equivalence, trigonometric height splitting, and constructing regions defined by multiple inequalities.

Examiner Pitfalls & Lost Marks

Premature Rounding: Examiners noted a widespread loss of final accuracy marks because candidates rounded decimals too early in intermediate steps, particularly in cumulative percentage and compound unit conversion questions.
Construction Arcs: For loci and ruler-and-compass construction questions, drawing lines without showing clear, visible intersecting compass arcs resulted in immediate mark deductions, even if the final boundary line was correct.
Equation vs. Identity: Many candidates struggled to conceptually distinguish between an equation and an identity, often losing explanation marks by failing to state that an identity is true for all values of \(x\).
Unit Consistency: Marks were frequently dropped due to missing or mismatched units in multi-step volume and density calculations.

Strategic Revision Advice

Tutors and students should prioritize the following tactics during exam preparation:

Exact Workings: Practice carrying exact surd forms and fractional representations through intermediate calculations to avoid rounding errors.
Formula Recitation: Ensure formulas for the volume of pyramids, cones, and spheres are fully memorized, as candidates frequently confused radius scaling.
Ratios to Fractions: Focus on converting ratio relationships into algebraic fraction equations, which are highly tested in Higher-tier probability and Venn diagram contexts.

Predictions for Upcoming Series

Based on the 2022 distribution, several critical areas were under-represented and are highly predicted to feature in upcoming series. Plane Vector Geometry (specifically formal geometric vector proofs) and nth-term Quadratic Sequences are overdue. Candidates should also expect a strong focus on direct and inverse proportion equations involving powers, such as \(y \propto \frac{1}{x^2}\), as well as quadratic inequalities utilizing set notation.

Charts

Marks by chapter

See where the marks were concentrated so revision time goes to the highest-value topics.

Question type mix

Compare the mark share of each paper section and question type.

Short Answer120 marks · 80 questions
Structured Method280 marks · 80 questions
Complex Multi-step200 marks · 37 questions

Mark accessibility

Estimate which marks were basic, mid-level, or high-difficulty.

75%within easy or medium reach

240

210

150

easy: 240 marksmedium: 210 markshard: 150 marks

Command word frequency

Spot common command words so answers match the expected response style.

Skill weighting

Shows the skill mix this paper tested most heavily.

Study ROI

Bigger bubbles recur more often; higher bubbles carry more marks, helping you rank revision priorities.

Calculations with ratio

40 marks · Difficulty 2.2 · recurrence 95%

Combined events and probability diagrams

55 marks · Difficulty 2.8 · recurrence 98%

Algebraic expressions

45 marks · Difficulty 2.5 · recurrence 90%

Percentages

30 marks · Difficulty 2 · recurrence 88%

Area calculations

35 marks · Difficulty 2.4 · recurrence 85%

Straight line graphs

25 marks · Difficulty 2.6 · recurrence 82%

Time vs marks

Compare marks with suggested time allocation to plan exam pacing.

marksmins

Next-year prediction

Topics worth watching next year, with the reason shown directly below each bar.

Sequences90%

Only basic dot-sequences featured in 2022. Advanced quadratic nth-term expressions are heavily overdue.

Plane vector geometry88%

Represented only by a basic vector drawing task in 2022; formal geometric vector proofs are highly anticipated in the upcoming Higher series.

Direct and inverse proportion85%

Remains a staple multi-mark question standard across papers, typically alternating between linear and exponential relationships.

Cumulative marks ladder

The line is your running mark total question by question; dashed lines are the estimated grade cut-offs. See which question the line crosses your target grade at, so you know how far you must answer cleanly and which questions decide a band.

Examiner insights

Official report

Common pitfalls

Confusing volume formulas: many candidates applied 2\pi r instead of \pi r^2 for area, or failed to compute the base area of a pyramid correctly.
Under-estimating the need for systematic conversion: when converting units like km/min to cm/sec, candidates made frequent arithmetic slips, particularly with division.
Venn Diagram mislabelling: in the Higher papers, candidates failed to subtract the intersection 'x' from the individual circle totals when working out ratios.

Misconceptions

Assuming linear scaling for area and volume: many candidates divided or multiplied by the linear scale factor instead of squaring/cubing it in similar shapes.
Confusing equations with identities: failing to understand that an identity is true for all values of x, whereas an equation is solved for a specific set of roots.

Where marks are lost

Omission of units: losing the final accuracy mark by failing to state units or writing incorrect units like cm instead of cm^2 for surface area.
Incomplete constructions: drawing lines of best fit or bisectors without visible compass arcs, which scored zero under strict criteria.

Estimated grade cut-off

Updated: 15 Jun 2026

Source: OCR

Level	Mark	Percentage
9	242/300	81%
8	200/300	67%
7	158/300	53%
6	120/300	40%
5	82/300	27%
4	45/300	15%
3	26/300	9%

Official grade boundaries published by OCR.

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