OCR GCSE Maths past papers

OCR GCSE Maths June 2017 Paper 5

  • J560/05
  • Higher
  • Non-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, 16 minutes, marked line by line. Free, no account.

  • Quadratic graphs, roots and turning points
  • Area of any triangle and mixed trigonometry
  • Surds, exact calculations and rationalising
  • Algebraic fractions and rational equations
  • General algebraic proofs
Start the 16-minute set

What it tested

  • Algebra30 marks
  • Geometry22 marks
  • Ratio and proportion19 marks
  • Number17 marks
  • Statistics7 marks
  • Probability5 marks
  1. Q1Fraction arithmetic and exact answers2 marks
  2. Q2Speed, density, pressure and unit pricingProportional graphs and rates of change3 marks
  3. Q3Ratio notation and multiplicative comparisonEstimation and sense checks3 marks
  4. Q4Compound growth and decayExponential and trigonometric graphs3 marks
  5. Q5Formulae and changing the subjectSingle brackets and common factors5 marks
  6. Q6Ordered stem-and-leaf, averages, spread and grouped means4 marks
  7. Q7Sharing quantities and equivalent ratiosRatio notation and multiplicative comparison5 marks
  8. Q8Triangles, interior and exterior polygon anglesAngles at points, lines and parallel lines6 marks
13 more questions
  1. Q9Samples, populations and statistical claimsProbability language, frequency trees and expectation3 marks
  2. Q10One-variable linear inequalitiesLinear equations, including both sides5 marks
  3. Q11Column vectors and vector arithmetic5 marks
  4. Q12Original values, profit and simple interestPercentages, changes and multipliers5 marks
  5. Q13Recurring decimals as fractionsDecimals, fractions and percentages4 marks
  6. Q14Product counting and estimating powers/roots4 marks
  7. Q15Surds, exact calculations and rationalisingFractional and negative indices7 marks
  8. Q16Circle theorems and angle chains4 marks
  9. Q17Algebraic fractions and rational equationsThree binomials and non-monic factorisation6 marks
  10. Q18Conditional probability in tables, trees and Venn diagramsSets, Venn diagrams and sample spaces5 marks
  11. Q19Quadratic graphs, roots and turning pointsCompleting the square and turning points8 marks
  12. Q20Area of any triangle and mixed trigonometryPythagoras in two dimensions7 marks
  13. Q21General algebraic proofsExpanding two binomials6 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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