OCR GCSE Maths past papers

OCR GCSE Maths June 2022 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.

  • Compound growth and decay
  • Scatter graphs and predictions
  • Algebraic fractions and rational equations
  • Circle theorems and angle chains
  • Quadratic graphs, roots and turning points
Start the 17-minute set

What it tested

  • Algebra28 marks
  • Geometry23 marks
  • Ratio and proportion19 marks
  • Statistics14 marks
  • Number12 marks
  • Probability4 marks
  1. Q1Standard form and calculator entry2 marks
  2. Q2Operation order, inverses and reciprocalsInteger powers and roots2 marks
  3. Q3Compound growth and decayOriginal values, profit and simple interest5 marks
  4. Q4Triangles, interior and exterior polygon anglesAngles at points, lines and parallel lines6 marks
  5. Q5Scatter graphs and predictionsPercentages, changes and multipliers10 marks
  6. Q6Speed, density, pressure and unit pricingMetric units, money and dimensional conversion5 marks
  7. Q7Pyramids, cones, spheres and composite solidsFormulae and changing the subject5 marks
  8. Q8Quadratic graphs, roots and turning points6 marks
12 more questions
  1. Q9Pythagoras in two dimensionsCircle theorems and angle chains5 marks
  2. Q10Samples, populations and statistical claimsData tables, bar/pie/time-series charts and frequency polygons4 marks
  3. Q11Upper/lower bounds in calculationsRounding, significant figures and error intervals4 marks
  4. Q12Circle theorems and angle chainsAngles at points, lines and parallel lines7 marks
  5. Q13Product counting and estimating powers/rootsFraction arithmetic and exact answers4 marks
  6. Q14Three binomials and non-monic factorisationIdentities and algebraic reasoning2 marks
  7. Q15General algebraic proofs4 marks
  8. Q16Compound growth and decaySubstitution and calculator brackets9 marks
  9. Q17Independent and dependent event trees4 marks
  10. Q18Origin-centred circles and tangents2 marks
  11. Q19Algebraic fractions and rational equationsThree binomials and non-monic factorisation9 marks
  12. Q20Quadratic and two-variable inequalitiesSolving monic quadratics by factorisation5 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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