OCR GCSE Maths past papers

OCR GCSE Maths June 2022 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, 17 minutes, marked line by line. Free, no account.

  • Estimation and sense checks
  • Origin-centred circles and tangents
  • Positive and fractional enlargements
  • Quadratic graphs, roots and turning points
  • Compass constructions and loci
Start the 17-minute set

What it tested

  • Geometry26 marks
  • Algebra26 marks
  • Number19 marks
  • Probability17 marks
  • Statistics6 marks
  • Ratio and proportion6 marks
  1. Q1Data tables, bar/pie/time-series charts and frequency polygonsPercentages, changes and multipliers6 marks
  2. Q2Bearings and geometric modellingScale factors, scale drawings and maps4 marks
  3. Q3Standard form and calculator entry4 marks
  4. Q4Integer powers and roots3 marks
  5. Q5Ratio notation and multiplicative comparisonFraction arithmetic and exact answers3 marks
  6. Q6Exhaustive outcomes and experimental probabilityData tables, bar/pie/time-series charts and frequency polygons6 marks
  7. Q7Estimation and sense checksFormulae and changing the subject7 marks
  8. Q8Probability language, frequency trees and expectationRatio notation and multiplicative comparison5 marks
11 more questions
  1. Q9Compass constructions and loci6 marks
  2. Q10Positive and fractional enlargementsCombined transformations and invariance7 marks
  3. Q11Constructing direct/inverse proportional equations3 marks
  4. Q12Graph gradients and areasSpeed, density, pressure and unit pricing6 marks
  5. Q13Quadratic graphs, roots and turning pointsSurds, exact calculations and rationalising7 marks
  6. Q14Sets, Venn diagrams and sample spacesConditional probability in tables, trees and Venn diagrams6 marks
  7. Q15Exact trigonometric valuesPythagoras in two dimensions4 marks
  8. Q16Recurring decimals as fractionsFraction arithmetic and exact answers5 marks
  9. Q17Forming equations from situationsSolving monic quadratics by factorisation6 marks
  10. Q18Arc lengths and sectorsRatio notation and multiplicative comparison5 marks
  11. Q19Origin-centred circles and tangentsPerpendicular gradients and line equations7 marks

June 2022 Higher grade boundaries

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

  • Grade 9242
  • Grade 8200
  • Grade 7158
  • Grade 6120
  • Grade 582
  • Grade 445
  • Grade 326

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