OCR GCSE Maths past papers

OCR GCSE Maths November 2019 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, 13 minutes, marked line by line. Free, no account.

  • Cumulative frequency and quantiles
  • Scatter graphs and predictions
  • Sharing quantities and equivalent ratios
  • Three-dimensional Pythagoras and trigonometry
  • Cosine rule for sides and angles
Start the 13-minute set

What it tested

  • Algebra26 marks
  • Geometry25 marks
  • Ratio and proportion21 marks
  • Statistics17 marks
  • Number11 marks
  1. Q1Direct and inverse proportion: tables and relationshipsMetric units, money and dimensional conversion5 marks
  2. Q2Standard form and calculator entrySubstitution and calculator brackets4 marks
  3. Q3Primes, factor trees, HCF and LCMMetric units, money and dimensional conversion4 marks
  4. Q4Sharing quantities and equivalent ratiosOriginal values, profit and simple interest8 marks
  5. Q5Expanding two binomialsLike terms and algebraic index rules3 marks
  6. Q6Fractions within ratio problemsRatio notation and multiplicative comparison3 marks
  7. Q7Scatter graphs and predictionsDecimals, fractions and percentages8 marks
  8. Q8Two linear simultaneous equationsForming equations from situations5 marks
11 more questions
  1. Q9Input/output and inverse number machinesFormal, inverse and composite functions7 marks
  2. Q10Compound growth and decaySubstitution and calculator brackets4 marks
  3. Q11Congruence criteria and geometric deductions4 marks
  4. Q12Cumulative frequency and quantilesOrdered stem-and-leaf, averages, spread and grouped means9 marks
  5. Q13Area and volume in similar figuresProduct counting and estimating powers/roots6 marks
  6. Q14Origin-centred circles and tangentsPerpendicular gradients and line equations5 marks
  7. Q15Cosine rule for sides and anglesSine rule and the ambiguous case7 marks
  8. Q16Algebraic fractions and rational equationsMonic quadratics and difference of squares4 marks
  9. Q17Exponential and trigonometric graphs2 marks
  10. Q18Three-dimensional Pythagoras and trigonometryPrisms, cylinders and surface area8 marks
  11. Q19Average and instantaneous rates of changeGraph gradients and areas4 marks

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