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OCR GCSE Maths past papers

OCR GCSE Maths June 2025 Paper 6

  • J560/06
  • 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, 22 minutes, marked line by line. Free, no account.

  • Fractions within ratio problems
  • Compound growth and decay
  • Iterative formulae, roots and growth models
  • Linear equations, including both sides
  • Three-dimensional Pythagoras and trigonometry
Start the 22-minute set

What it tested

  • Algebra30 marks
  • Number29 marks
  • Geometry23 marks
  • Probability8 marks
  • Ratio and proportion7 marks
  • Statistics3 marks
  1. Q1Sets, Venn diagrams and sample spacesExhaustive outcomes and experimental probability3 marks
  2. Q2Reflections, rotations and translationsColumn vectors and vector arithmetic2 marks
  3. Q3Percentages, changes and multipliersData tables, bar/pie/time-series charts and frequency polygons4 marks
  4. Q4Solids, plans and elevations2 marks
  5. Q5Signed arithmetic and number linesEquivalent fractions and mixed numbers2 marks
  6. Q6Rounding, significant figures and error intervals4 marks
  7. Q7Fractions within ratio problemsPercentages, changes and multipliers6 marks
  8. Q8Compass constructions and loci2 marks
17 more questions
  1. Q9Linear equations, including both sidesSolving monic quadratics by factorisation6 marks
  2. Q10Pyramids, cones, spheres and composite solidsPrisms, cylinders and surface area5 marks
  3. Q11Compound growth and decay4 marks
  4. Q12Substitution and calculator bracketsLinear equations, including both sides4 marks
  5. Q13Similar figures and length ratios3 marks
  6. Q14Primes, factor trees, HCF and LCMInteger powers and roots3 marks
  7. Q15Independent and dependent event trees5 marks
  8. Q16Quadratic graphs, roots and turning pointsExponential and trigonometric graphs3 marks
  9. Q17Box plots and distribution comparisons3 marks
  10. Q18Product counting and estimating powers/roots4 marks
  11. Q19Negative-scale-factor enlargement3 marks
  12. Q20Graph gradients and areasProportional graphs and rates of change5 marks
  13. Q21Linear/quadratic simultaneous equations5 marks
  14. Q22Three-dimensional Pythagoras and trigonometry6 marks
  15. Q23Compound growth and decayExponential and trigonometric graphs3 marks
  16. Q24Iterative formulae, roots and growth models7 marks
  17. Q25Fractions within ratio problemsDecimals, fractions and percentages6 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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