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OCR GCSE Maths past papers

OCR GCSE Maths June 2024 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, 16 minutes, marked line by line. Free, no account.

  • Scatter graphs and predictions
  • Arc lengths and sectors
  • Speed, density, pressure and unit pricing
  • Column vectors and vector arithmetic
  • Fractions within ratio problems
Start the 16-minute set

What it tested

  • Algebra27 marks
  • Geometry26 marks
  • Number16 marks
  • Ratio and proportion14 marks
  • Probability9 marks
  • Statistics8 marks
  1. Q1Place value, ordering and decimal operations2 marks
  2. Q2Sets, Venn diagrams and sample spacesExhaustive outcomes and experimental probability4 marks
  3. Q3Speed, density, pressure and unit pricingMetric units, money and dimensional conversion7 marks
  4. Q4Scatter graphs and predictionsPercentages, changes and multipliers8 marks
  5. Q5Compass constructions and loci3 marks
  6. Q6Estimation and sense checksSpeed, density, pressure and unit pricing3 marks
  7. Q7Fractions within ratio problemsFraction arithmetic and exact answers6 marks
  8. Q8Direct and inverse proportion: tables and relationshipsPercentages, changes and multipliers2 marks
15 more questions
  1. Q9Substitution and calculator bracketsFormulae and changing the subject4 marks
  2. Q10Forming equations from situationsLinear equations, including both sides4 marks
  3. Q11Column vectors and vector arithmetic6 marks
  4. Q12Compound growth and decay5 marks
  5. Q13Quadratic and two-variable inequalities3 marks
  6. Q14The nth term of a linear sequence3 marks
  7. Q15Three binomials and non-monic factorisation3 marks
  8. Q16Area and volume in similar figures3 marks
  9. Q17Recurring decimals as fractionsFraction arithmetic and exact answers5 marks
  10. Q18Pyramids, cones, spheres and composite solidsFormulae and changing the subject4 marks
  11. Q19Combined transformations and invarianceReflections, rotations and translations3 marks
  12. Q20Arc lengths and sectorsExact trigonometric values7 marks
  13. Q21Linear/quadratic simultaneous equationsSolving monic quadratics by factorisation6 marks
  14. Q22Exponential and trigonometric graphs4 marks
  15. Q23Conditional probability in tables, trees and Venn diagramsSets, Venn diagrams and sample spaces5 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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