OCR GCSE Maths past papers

OCR GCSE Maths June 2024 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.

  • Completing the square and turning points
  • Data tables, bar/pie/time-series charts and frequency polygons
  • Graph gradients and areas
  • Algebraic probability and linked events
  • Arc lengths and sectors
Start the 18-minute set

What it tested

  • Algebra30 marks
  • Number21 marks
  • Geometry19 marks
  • Statistics12 marks
  • Ratio and proportion11 marks
  • Probability7 marks
  1. Q1Operation order, inverses and reciprocalsRounding, significant figures and error intervals3 marks
  2. Q2Areas of triangles, quadrilaterals and composites3 marks
  3. Q3Two linear simultaneous equationsForming equations from situations5 marks
  4. Q4Data tables, bar/pie/time-series charts and frequency polygonsSharing quantities and equivalent ratios9 marks
  5. Q5Speed, density, pressure and unit pricingMetric units, money and dimensional conversion3 marks
  6. Q6Triangles, interior and exterior polygon anglesForming equations from situations4 marks
  7. Q7Fractional and negative indicesStandard form and calculator entry3 marks
  8. Q8Percentages, changes and multipliersOriginal values, profit and simple interest5 marks
11 more questions
  1. Q9Sharing quantities and equivalent ratiosFractions within ratio problems5 marks
  2. Q10Constructing direct/inverse proportional equations3 marks
  3. Q11Algebraic probability and linked eventsIndependent and dependent event trees7 marks
  4. Q12Circle theorems and angle chainsCircle theorem proofs and linked geometry6 marks
  5. Q13Formal, inverse and composite functionsInput/output and inverse number machines6 marks
  6. Q14Arc lengths and sectorsRight-triangle trigonometry in two dimensions6 marks
  7. Q15Completing the square and turning pointsThree binomials and non-monic factorisation10 marks
  8. Q16Upper/lower bounds in calculationsSpeed, density, pressure and unit pricing5 marks
  9. Q17Box plots and distribution comparisonsConditional probability in tables, trees and Venn diagrams3 marks
  10. Q18Graph gradients and areasAverage and instantaneous rates of change9 marks
  11. Q19Surds, exact calculations and rationalising5 marks

June 2024 Higher grade boundaries

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

  • Grade 9245
  • Grade 8195
  • Grade 7145
  • Grade 6110
  • Grade 576
  • Grade 442
  • Grade 325

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