OCR GCSE Maths past papers

OCR GCSE Maths June 2018 Paper 4

  • J560/04
  • 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.

  • Scatter graphs and predictions
  • Completing the square and turning points
  • Primes, factor trees, HCF and LCM
  • Algebraic fractions and rational equations
  • Compass constructions and loci
Start the 19-minute set

What it tested

  • Algebra30 marks
  • Geometry23 marks
  • Ratio and proportion18 marks
  • Number17 marks
  • Statistics9 marks
  • Probability3 marks
  1. Q1Sharing quantities and equivalent ratiosMetric units, money and dimensional conversion4 marks
  2. Q2Like terms and algebraic index rules1 mark
  3. Q3Primes, factor trees, HCF and LCM7 marks
  4. Q4Scatter graphs and predictionsSamples, populations and statistical claims9 marks
  5. Q5Speed, density, pressure and unit pricingScale factors, scale drawings and maps6 marks
  6. Q6Reflections, rotations and translationsCombined transformations and invariance6 marks
  7. Q7Compass constructions and lociScale factors, scale drawings and maps6 marks
  8. Q8Circle theorems and angle chainsRight-triangle trigonometry in two dimensions5 marks
12 more questions
  1. Q9Two linear simultaneous equationsForming equations from situations6 marks
  2. Q10Percentages, changes and multipliersFractions within ratio problems5 marks
  3. Q11Direct and inverse proportion: tables and relationshipsPercentages, changes and multipliers4 marks
  4. Q12Compound growth and decaySubstitution and calculator brackets4 marks
  5. Q13Product counting and estimating powers/rootsSystematic lists and combinations5 marks
  6. Q14Conditional probability in tables, trees and Venn diagramsSets, Venn diagrams and sample spaces3 marks
  7. Q15Completing the square and turning pointsTranslations and reflections of function graphs7 marks
  8. Q16Three binomials and non-monic factorisationSolving monic quadratics by factorisation3 marks
  9. Q17Exponential and trigonometric graphsCubic, reciprocal and contextual graphs3 marks
  10. Q18Cosine rule for sides and anglesArea of any triangle and mixed trigonometry6 marks
  11. Q19Quadratic sequence nth terms4 marks
  12. Q20Algebraic fractions and rational equationsQuadratic formula and rearranged quadratics6 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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