OCR GCSE Maths past papers

OCR GCSE Maths June 2017 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.

  • Formal, inverse and composite functions
  • Histograms with unequal widths
  • Area and volume in similar figures
  • Compass constructions and loci
  • Sets, Venn diagrams and sample spaces
Start the 19-minute set

What it tested

  • Algebra29 marks
  • Geometry25 marks
  • Number17 marks
  • Statistics13 marks
  • Ratio and proportion9 marks
  • Probability7 marks
  1. Q1Standard form and calculator entryPercentages, changes and multipliers7 marks
  2. Q2Compass constructions and lociScale factors, scale drawings and maps7 marks
  3. Q3Scatter graphs and predictionsData tables, bar/pie/time-series charts and frequency polygons5 marks
  4. Q4Fractions within ratio problemsFraction arithmetic and exact answers3 marks
  5. Q5Equations of lines and parallel linesPlotting lines, gradient and intercept6 marks
  6. Q6Sets, Venn diagrams and sample spacesIndependent and dependent event trees7 marks
  7. Q7Quadratic graphs, roots and turning pointsSubstitution and calculator brackets5 marks
  8. Q8Speed, density, pressure and unit pricingPyramids, cones, spheres and composite solids5 marks
10 more questions
  1. Q9Area and volume in similar figuresPositive and fractional enlargements7 marks
  2. Q10Histograms with unequal widthsCumulative frequency and quantiles8 marks
  3. Q11Upper/lower bounds in calculationsMetric units, money and dimensional conversion4 marks
  4. Q12Constructing direct/inverse proportional equations4 marks
  5. Q13Congruence criteria and geometric deductionsCircle theorem proofs and linked geometry4 marks
  6. Q14Formal, inverse and composite functionsInput/output and inverse number machines8 marks
  7. Q15Exponential and trigonometric graphsRight-triangle trigonometry in two dimensions6 marks
  8. Q16Algebraic fractions and rational equationsLike terms and algebraic index rules4 marks
  9. Q17Fractional and negative indicesSurds, exact calculations and rationalising3 marks
  10. Q18Three-dimensional Pythagoras and trigonometry7 marks

June 2017 Higher grade boundaries

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

  • Grade 9248
  • Grade 8203
  • Grade 7159
  • Grade 6121
  • Grade 583
  • Grade 446
  • Grade 327

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