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OCR GCSE Maths past papers

OCR GCSE Maths June 2019 Paper 6

  • J560/06
  • 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, 18 minutes, marked line by line. Free, no account.

  • Cosine rule for sides and angles
  • Primes, factor trees, HCF and LCM
  • Iterative formulae, roots and growth models
  • Standard form and calculator entry
  • Compound growth and decay
Start the 18-minute set

What it tested

  • Algebra31 marks
  • Geometry26 marks
  • Number21 marks
  • Probability12 marks
  • Ratio and proportion10 marks
  1. Q1Standard form and calculator entryEstimation and sense checks3 marks
  2. Q2Standard form and calculator entryMetric units, money and dimensional conversion4 marks
  3. Q3Probability language, frequency trees and expectationData tables, bar/pie/time-series charts and frequency polygons2 marks
  4. Q4Probability language, frequency trees and expectationMetric units, money and dimensional conversion4 marks
  5. Q5Right-triangle trigonometry in two dimensions3 marks
  6. Q6Sharing quantities and equivalent ratiosProbability language, frequency trees and expectation4 marks
  7. Q7Compass constructions and loci2 marks
  8. Q8Equations of lines and parallel lines4 marks
14 more questions
  1. Q9One-variable linear inequalities4 marks
  2. Q10Percentages, changes and multipliersCompound growth and decay6 marks
  3. Q11Primes, factor trees, HCF and LCMLike terms and algebraic index rules8 marks
  4. Q12Sets, Venn diagrams and sample spacesIndependent and dependent event trees6 marks
  5. Q13General algebraic proofsOrdered stem-and-leaf, averages, spread and grouped means4 marks
  6. Q14Three-dimensional Pythagoras and trigonometryPrisms, cylinders and surface area5 marks
  7. Q15Three binomials and non-monic factorisation3 marks
  8. Q16Exponential and trigonometric graphs3 marks
  9. Q17Cosine rule for sides and anglesSpeed, density, pressure and unit pricing8 marks
  10. Q18Pyramids, cones, spheres and composite solidsFormulae and changing the subject4 marks
  11. Q19Origin-centred circles and tangentsPerpendicular gradients and line equations6 marks
  12. Q20Iterative formulae, roots and growth models7 marks
  13. Q21Area and volume in similar figures4 marks
  14. Q22Compound growth and decayIterative formulae, roots and growth models6 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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