OCR GCSE Maths past papers

OCR GCSE Maths June 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, 17 minutes, marked line by line. Free, no account.

  • Cumulative frequency and quantiles
  • Graph gradients and areas
  • Quadratic sequence nth terms
  • Conditional probability in tables, trees and Venn diagrams
  • Forming equations from situations
Start the 17-minute set

What it tested

  • Algebra33 marks
  • Geometry22 marks
  • Number17 marks
  • Ratio and proportion11 marks
  • Statistics11 marks
  • Probability6 marks
  1. Q1Substitution and calculator bracketsInteger powers and roots3 marks
  2. Q2Ratio notation and multiplicative comparisonMetric units, money and dimensional conversion2 marks
  3. Q3Fractions within ratio problemsSharing quantities and equivalent ratios5 marks
  4. Q4Primes, factor trees, HCF and LCMMetric units, money and dimensional conversion5 marks
  5. Q5Forming equations from situationsLinear equations, including both sides6 marks
  6. Q6Conditional probability in tables, trees and Venn diagramsData tables, bar/pie/time-series charts and frequency polygons6 marks
  7. Q7Pythagoras in two dimensionsCircle vocabulary and perimeter6 marks
  8. Q8Negative-scale-factor enlargementCombined transformations and invariance6 marks
11 more questions
  1. Q9Triangles, interior and exterior polygon anglesAngles at points, lines and parallel lines5 marks
  2. Q10Compound growth and decay4 marks
  3. Q11Upper/lower bounds in calculationsAreas of triangles, quadrilaterals and composites4 marks
  4. Q12Quadratic sequence nth termsThe nth term of a linear sequence7 marks
  5. Q13Cumulative frequency and quantilesHistograms with unequal widths11 marks
  6. Q14Graph gradients and areasSpeed, density, pressure and unit pricing7 marks
  7. Q15Vector geometric arguments and proofsColumn vectors and vector arithmetic5 marks
  8. Q16Constructing direct/inverse proportional equations5 marks
  9. Q17Fractional and negative indicesLike terms and algebraic index rules3 marks
  10. Q18Quadratic and two-variable inequalitiesPlotting lines, gradient and intercept6 marks
  11. Q19Quadratic formula and rearranged quadratics4 marks

June 2019 Higher grade boundaries

Marks needed across all three Higher papers, out of 300.

  • Grade 9256
  • Grade 8213
  • Grade 7171
  • Grade 6136
  • Grade 5102
  • Grade 468
  • Grade 351

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