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OCR GCSE Maths past papers

OCR GCSE Maths June 2017 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, 17 minutes, marked line by line. Free, no account.

  • Average and instantaneous rates of change
  • Conditional probability in tables, trees and Venn diagrams
  • Combined transformations and invariance
  • Bearings and geometric modelling
  • Compound growth and decay
Start the 17-minute set

What it tested

  • Algebra27 marks
  • Geometry24 marks
  • Ratio and proportion22 marks
  • Number11 marks
  • Statistics8 marks
  • Probability8 marks
  1. Q1Integer powers and rootsStandard form and calculator entry4 marks
  2. Q2Rounding, significant figures and error intervals2 marks
  3. Q3Primes, factor trees, HCF and LCM5 marks
  4. Q4Substitution and calculator brackets2 marks
  5. Q5Original values, profit and simple interest3 marks
  6. Q6Circle vocabulary and perimeterArc lengths and sectors5 marks
  7. Q7Bearings and geometric modellingRight-triangle trigonometry in two dimensions6 marks
  8. Q8Data tables, bar/pie/time-series charts and frequency polygons4 marks
12 more questions
  1. Q9Two linear simultaneous equationsForming equations from situations6 marks
  2. Q10Compound growth and decayPercentages, changes and multipliers6 marks
  3. Q11Combined transformations and invarianceReflections, rotations and translations7 marks
  4. Q12Cumulative frequency and quantilesPercentages, changes and multipliers4 marks
  5. Q13Conditional probability in tables, trees and Venn diagramsIndependent and dependent event trees8 marks
  6. Q14Cosine rule for sides and anglesSine rule and the ambiguous case6 marks
  7. Q15Average and instantaneous rates of changeConstructing direct/inverse proportional equations13 marks
  8. Q16Completing the square and turning points3 marks
  9. Q17Origin-centred circles and tangents2 marks
  10. Q18Three binomials and non-monic factorisationQuadratic formula and rearranged quadratics6 marks
  11. Q19Quadratic sequence nth termsTerm rules, special and geometric sequences6 marks
  12. Q20Graph gradients and areas2 marks

June 2017 Higher grade boundaries

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

  • Grade 9248
  • Grade 8203
  • Grade 7159
  • Grade 6121
  • Grade 583
  • Grade 446
  • Grade 327

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