OCR GCSE Maths past papers

OCR GCSE Maths June 2018 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, 19 minutes, marked line by line. Free, no account.

  • Equations of lines and parallel lines
  • Graph gradients and areas
  • Box plots and distribution comparisons
  • Upper/lower bounds in calculations
  • Pyramids, cones, spheres and composite solids
Start the 19-minute set

What it tested

  • Algebra39 marks
  • Geometry24 marks
  • Statistics11 marks
  • Ratio and proportion11 marks
  • Number11 marks
  • Probability4 marks
  1. Q1Ordered stem-and-leaf, averages, spread and grouped means3 marks
  2. Q2Sharing quantities and equivalent ratiosFractions within ratio problems4 marks
  3. Q3Estimation and sense checksRounding, significant figures and error intervals3 marks
  4. Q4Like terms and algebraic index rulesFractional and negative indices5 marks
  5. Q5Equations of lines and parallel linesPythagoras in two dimensions10 marks
  6. Q6Constructing direct/inverse proportional equations3 marks
  7. Q7Sets, Venn diagrams and sample spacesSigned arithmetic and number lines4 marks
  8. Q8Graph gradients and areasSpeed, density, pressure and unit pricing9 marks
11 more questions
  1. Q9Iterative formulae, roots and growth modelsSubstitution and calculator brackets6 marks
  2. Q10Column vectors and vector arithmeticPythagoras in two dimensions3 marks
  3. Q11Congruence criteria and geometric deductionsTriangles, interior and exterior polygon angles4 marks
  4. Q12Similar figures and length ratiosPythagoras in two dimensions5 marks
  5. Q13Pyramids, cones, spheres and composite solidsOriginal values, profit and simple interest7 marks
  6. Q14Upper/lower bounds in calculationsRounding, significant figures and error intervals8 marks
  7. Q15Compound growth and decay4 marks
  8. Q16Box plots and distribution comparisonsPercentages, changes and multipliers8 marks
  9. Q17Input/output and inverse number machinesLinear equations, including both sides5 marks
  10. Q18Area and volume in similar figuresData tables, bar/pie/time-series charts and frequency polygons5 marks
  11. Q19Algebraic fractions and rational equationsThree binomials and non-monic factorisation4 marks

June 2018 Higher grade boundaries

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

  • Grade 9256
  • Grade 8210
  • Grade 7164
  • Grade 6129
  • Grade 594
  • Grade 460
  • Grade 343

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