OCR GCSE Maths past papers

OCR GCSE Maths June 2025 Paper 5

  • J560/05
  • Higher
  • Non-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.

  • Area of any triangle and mixed trigonometry
  • Data tables, bar/pie/time-series charts and frequency polygons
  • Fractional and negative indices
  • Histograms with unequal widths
  • Independent and dependent event trees
Start the 18-minute set

What it tested

  • Algebra32 marks
  • Number19 marks
  • Geometry18 marks
  • Ratio and proportion13 marks
  • Statistics12 marks
  • Probability6 marks
  1. Q1Signed arithmetic and number linesPlace value, ordering and decimal operations2 marks
  2. Q2Percentages, changes and multipliersDecimals, fractions and percentages3 marks
  3. Q3Reflections, rotations and translations3 marks
  4. Q4One-variable linear inequalities3 marks
  5. Q5Fraction arithmetic and exact answersLinear equations, including both sides3 marks
  6. Q6Term rules, special and geometric sequencesPrimes, factor trees, HCF and LCM6 marks
  7. Q7Two linear simultaneous equationsPlotting lines, gradient and intercept6 marks
  8. Q8Sharing quantities and equivalent ratiosRatio notation and multiplicative comparison5 marks
14 more questions
  1. Q9Data tables, bar/pie/time-series charts and frequency polygonsPercentages, changes and multipliers6 marks
  2. Q10Algebraic language and notationSingle brackets and common factors4 marks
  3. Q11Speed, density, pressure and unit pricingEstimation and sense checks5 marks
  4. Q12Congruence criteria and geometric deductions4 marks
  5. Q13Constructing direct/inverse proportional equations3 marks
  6. Q14Fractional and negative indicesLike terms and algebraic index rules6 marks
  7. Q15Completing the square and turning points5 marks
  8. Q16Formulae and changing the subject4 marks
  9. Q17Histograms with unequal widthsOrdered stem-and-leaf, averages, spread and grouped means6 marks
  10. Q18Recurring decimals as fractionsFraction arithmetic and exact answers5 marks
  11. Q19Arc lengths and sectorsAreas of triangles, quadrilaterals and composites5 marks
  12. Q20Algebraic fractions and rational equationsMonic quadratics and difference of squares4 marks
  13. Q21Independent and dependent event treesExhaustive outcomes and experimental probability6 marks
  14. Q22Area of any triangle and mixed trigonometryCosine rule for sides and angles6 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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