OCR GCSE Maths past papers

OCR GCSE Maths June 2018 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, 22 minutes, marked line by line. Free, no account.

  • Linear/quadratic simultaneous equations
  • Surds, exact calculations and rationalising
  • Histograms with unequal widths
  • Areas of triangles, quadrilaterals and composites
  • Exact trigonometric values
Start the 22-minute set

What it tested

  • Number25 marks
  • Algebra25 marks
  • Geometry24 marks
  • Probability10 marks
  • Ratio and proportion8 marks
  • Statistics8 marks
  1. Q1Fraction arithmetic and exact answersStandard form and calculator entry6 marks
  2. Q2One-variable linear inequalities3 marks
  3. Q3Column vectors and vector arithmetic3 marks
  4. Q4Percentages, changes and multipliers3 marks
  5. Q5Exhaustive outcomes and experimental probabilityProbability language, frequency trees and expectation5 marks
  6. Q6Original values, profit and simple interest4 marks
  7. Q7Areas of triangles, quadrilaterals and compositesSpeed, density, pressure and unit pricing6 marks
  8. Q8Sets, Venn diagrams and sample spacesExhaustive outcomes and experimental probability5 marks
12 more questions
  1. Q9Cubic, reciprocal and contextual graphsSubstitution and calculator brackets5 marks
  2. Q10Direct and inverse proportion: tables and relationshipsEquivalent fractions and mixed numbers4 marks
  3. Q11Exact trigonometric valuesRight-triangle trigonometry in two dimensions6 marks
  4. Q12Fractional and negative indices3 marks
  5. Q13Recurring decimals as fractionsDecimals, fractions and percentages4 marks
  6. Q14Pyramids, cones, spheres and composite solidsPrisms, cylinders and surface area5 marks
  7. Q15General algebraic proofsExpanding two binomials4 marks
  8. Q16Circle theorems and angle chains4 marks
  9. Q17Three binomials and non-monic factorisationIdentities and algebraic reasoning4 marks
  10. Q18Linear/quadratic simultaneous equationsPerpendicular gradients and line equations9 marks
  11. Q19Histograms with unequal widthsSamples, populations and statistical claims8 marks
  12. Q20Surds, exact calculations and rationalisingFractional and negative indices9 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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