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OCR GCSE Maths past papers

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

  • Two linear simultaneous equations
  • Compass constructions and loci
  • Cumulative frequency and quantiles
  • Pyramids, cones, spheres and composite solids
  • Right-triangle trigonometry in two dimensions
Start the 16-minute set

What it tested

  • Algebra32 marks
  • Geometry23 marks
  • Ratio and proportion15 marks
  • Number14 marks
  • Statistics11 marks
  • Probability5 marks
  1. Q1Standard form and calculator entry2 marks
  2. Q2Primes, factor trees, HCF and LCM4 marks
  3. Q3Percentages, changes and multipliers5 marks
  4. Q4Exhaustive outcomes and experimental probabilityProbability language, frequency trees and expectation3 marks
  5. Q5Bearings and geometric modellingScale factors, scale drawings and maps4 marks
  6. Q6Speed, density, pressure and unit pricingPrisms, cylinders and surface area4 marks
  7. Q7Compass constructions and loci7 marks
  8. Q8Sharing quantities and equivalent ratiosRatio notation and multiplicative comparison5 marks
14 more questions
  1. Q9Formulae and changing the subject4 marks
  2. Q10Substitution and calculator bracketsFormulae and changing the subject4 marks
  3. Q11Right-triangle trigonometry in two dimensionsPythagoras in two dimensions6 marks
  4. Q12Pyramids, cones, spheres and composite solidsArea and volume in similar figures6 marks
  5. Q13Constructing direct/inverse proportional equations3 marks
  6. Q14Compound growth and decaySubstitution and calculator brackets3 marks
  7. Q15Cumulative frequency and quantiles7 marks
  8. Q16Conditional probability in tables, trees and Venn diagramsSets, Venn diagrams and sample spaces2 marks
  9. Q17Perpendicular gradients and line equations3 marks
  10. Q18Two linear simultaneous equationsQuadratic sequence nth terms13 marks
  11. Q19Translations and reflections of function graphs3 marks
  12. Q20Product counting and estimating powers/roots3 marks
  13. Q21Histograms with unequal widthsOrdered stem-and-leaf, averages, spread and grouped means4 marks
  14. Q22Linear/quadratic simultaneous equationsSolving monic quadratics by factorisation5 marks

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