OCR GCSE Maths past papers

OCR GCSE Maths November 2020 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.

  • Graph gradients and areas
  • Three binomials and non-monic factorisation
  • Box plots and distribution comparisons
  • Upper/lower bounds in calculations
  • Areas of triangles, quadrilaterals and composites
Start the 17-minute set

What it tested

  • Algebra31 marks
  • Geometry26 marks
  • Number14 marks
  • Ratio and proportion13 marks
  • Statistics11 marks
  • Probability5 marks
  1. Q1Standard form and calculator entry3 marks
  2. Q2Percentages, changes and multipliers4 marks
  3. Q3Direct and inverse proportion: tables and relationshipsMetric units, money and dimensional conversion4 marks
  4. Q4Sets, Venn diagrams and sample spacesAlgebraic probability and linked events5 marks
  5. Q5Compass constructions and loci5 marks
  6. Q6Prisms, cylinders and surface areaInteger powers and roots4 marks
  7. Q7Plotting lines, gradient and interceptEquations of lines and parallel lines3 marks
  8. Q8Original values, profit and simple interestProbability language, frequency trees and expectation6 marks
12 more questions
  1. Q9Data tables, bar/pie/time-series charts and frequency polygonsSamples, populations and statistical claims4 marks
  2. Q10Areas of triangles, quadrilaterals and compositesMetric units, money and dimensional conversion6 marks
  3. Q11Upper/lower bounds in calculationsRounding, significant figures and error intervals7 marks
  4. Q12Combined transformations and invarianceReflections, rotations and translations5 marks
  5. Q13Box plots and distribution comparisons7 marks
  6. Q14Sine rule and the ambiguous caseTriangles, interior and exterior polygon angles6 marks
  7. Q15Three binomials and non-monic factorisationQuadratic formula and rearranged quadratics6 marks
  8. Q16Constructing direct/inverse proportional equations3 marks
  9. Q17Three binomials and non-monic factorisation3 marks
  10. Q18Origin-centred circles and tangentsPerpendicular gradients and line equations4 marks
  11. Q19Graph gradients and areasAverage and instantaneous rates of change9 marks
  12. Q20Linear/quadratic simultaneous equations6 marks

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