OCR GCSE Maths past papers

OCR GCSE Maths November 2023 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, 19 minutes, marked line by line. Free, no account.

  • Primes, factor trees, HCF and LCM
  • Compound growth and decay
  • Independent and dependent event trees
  • Areas of triangles, quadrilaterals and composites
  • Negative-scale-factor enlargement
Start the 19-minute set

What it tested

  • Algebra27 marks
  • Number22 marks
  • Geometry20 marks
  • Ratio and proportion14 marks
  • Statistics10 marks
  • Probability7 marks
  1. Q1Percentages, changes and multipliers3 marks
  2. Q2Primes, factor trees, HCF and LCM3 marks
  3. Q3Data tables, bar/pie/time-series charts and frequency polygonsSamples, populations and statistical claims5 marks
  4. Q4Speed, density, pressure and unit pricingProportional graphs and rates of change5 marks
  5. Q5Metric units, money and dimensional conversionAlgebraic language and notation2 marks
  6. Q6Two linear simultaneous equationsForming equations from situations5 marks
  7. Q7One-variable linear inequalities3 marks
  8. Q8Direct and inverse proportion: tables and relationshipsProportional graphs and rates of change2 marks
14 more questions
  1. Q9Monic quadratics and difference of squaresLinear equations, including both sides4 marks
  2. Q10Areas of triangles, quadrilaterals and compositesPythagoras in two dimensions6 marks
  3. Q11Primes, factor trees, HCF and LCM5 marks
  4. Q12Independent and dependent event treesFractions within ratio problems7 marks
  5. Q13Negative-scale-factor enlargementCombined transformations and invariance6 marks
  6. Q14Histograms with unequal widths5 marks
  7. Q15Congruence criteria and geometric deductionsCircle theorems and angle chains3 marks
  8. Q16Compound growth and decaySubstitution and calculator brackets7 marks
  9. Q17Quadratic sequence nth termsTerm rules, special and geometric sequences5 marks
  10. Q18Three binomials and non-monic factorisationSolving monic quadratics by factorisation4 marks
  11. Q19Cosine rule for sides and anglesBearings and geometric modelling5 marks
  12. Q20Origin-centred circles and tangentsPerpendicular gradients and line equations6 marks
  13. Q21Fractional and negative indicesLinear equations, including both sides3 marks
  14. Q22Surds, exact calculations and rationalising6 marks

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