OCR GCSE Maths past papers

OCR GCSE Maths June 2025 Paper 4

  • J560/04
  • Higher
  • Calculator
  • 1 hour 30 minutes
  • 100 marks

Question paper, Mark scheme, Examiner report: on the OCR website.

Practise this paper's topics

5 new exam questions, 18 minutes, marked line by line. Free, no account.

  • Speed, density, pressure and unit pricing
  • Three binomials and non-monic factorisation
  • Average and instantaneous rates of change
  • Compound growth and decay
  • Iterative formulae, roots and growth models
Start the 18-minute set

What it tested

  • Algebra30 marks
  • Ratio and proportion27 marks
  • Geometry21 marks
  • Statistics12 marks
  • Number5 marks
  • Probability5 marks
  1. Q1Operation order, inverses and reciprocalsRounding, significant figures and error intervals2 marks
  2. Q2Ratio notation and multiplicative comparisonMetric units, money and dimensional conversion2 marks
  3. Q3Circle vocabulary and perimeter4 marks
  4. Q4Scatter graphs and predictions4 marks
  5. Q5Equations of lines and parallel linesIdentities and algebraic reasoning4 marks
  6. Q6Speed, density, pressure and unit pricing5 marks
  7. Q7Triangles, interior and exterior polygon anglesAngles at points, lines and parallel lines6 marks
  8. Q8Samples, populations and statistical claims3 marks
15 more questions
  1. Q9Speed, density, pressure and unit pricingStandard form and calculator entry5 marks
  2. Q10Like terms and algebraic index rules3 marks
  3. Q11Two linear simultaneous equationsForming equations from situations5 marks
  4. Q12Pythagoras in two dimensionsAreas of triangles, quadrilaterals and composites5 marks
  5. Q13Circle theorems and angle chains3 marks
  6. Q14Cumulative frequency and quantiles5 marks
  7. Q15Constructing direct/inverse proportional equations3 marks
  8. Q16Compound growth and decayIterative formulae, roots and growth models6 marks
  9. Q17Origin-centred circles and tangentsSubstitution and calculator brackets5 marks
  10. Q18Iterative formulae, roots and growth modelsTerm rules, special and geometric sequences6 marks
  11. Q19Surds, exact calculations and rationalisingExpanding two binomials3 marks
  12. Q20Sine rule and the ambiguous case3 marks
  13. Q21Average and instantaneous rates of changeGraph gradients and areas6 marks
  14. Q22Conditional probability in tables, trees and Venn diagramsSets, Venn diagrams and sample spaces5 marks
  15. Q23Three binomials and non-monic factorisationMonic quadratics and difference of squares7 marks

June 2025 Higher grade boundaries

Marks needed across all three Higher papers, out of 300.

  • Grade 9258
  • Grade 8212
  • Grade 7166
  • Grade 6126
  • Grade 586
  • Grade 447
  • Grade 327

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