OCR GCSE Maths past papers

OCR GCSE Maths June 2024 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.

  • Right-triangle trigonometry in two dimensions
  • Arc lengths and sectors
  • Scale factors, scale drawings and maps
  • Cubic, reciprocal and contextual graphs
  • Fractions within ratio problems
Start the 19-minute set

What it tested

  • Algebra29 marks
  • Geometry27 marks
  • Number15 marks
  • Ratio and proportion13 marks
  • Statistics8 marks
  • Probability8 marks
  1. Q1Direct and inverse proportion: tables and relationshipsPlotting lines, gradient and intercept3 marks
  2. Q2Data tables, bar/pie/time-series charts and frequency polygonsSamples, populations and statistical claims2 marks
  3. Q3Probability language, frequency trees and expectation3 marks
  4. Q4Scale factors, scale drawings and mapsSpeed, density, pressure and unit pricing7 marks
  5. Q5Right-triangle trigonometry in two dimensionsAreas of triangles, quadrilaterals and composites9 marks
  6. Q6Primes, factor trees, HCF and LCM4 marks
  7. Q7Fractions within ratio problemsSharing quantities and equivalent ratios6 marks
  8. Q8Cubic, reciprocal and contextual graphsSubstitution and calculator brackets6 marks
12 more questions
  1. Q9Arc lengths and sectorsAreas of triangles, quadrilaterals and composites7 marks
  2. Q10General algebraic proofsLike terms and algebraic index rules6 marks
  3. Q11Conditional probability in tables, trees and Venn diagramsProbability language, frequency trees and expectation5 marks
  4. Q12Quadratic and two-variable inequalities3 marks
  5. Q13Histograms with unequal widths6 marks
  6. Q14Pythagoras in two dimensionsCoordinates and geometric problems on axes5 marks
  7. Q15Constructing direct/inverse proportional equations3 marks
  8. Q16Like terms and algebraic index rules4 marks
  9. Q17Recurring decimals as fractionsDecimals, fractions and percentages5 marks
  10. Q18Sine rule and the ambiguous caseCosine rule for sides and angles6 marks
  11. Q19Origin-centred circles and tangentsPerpendicular gradients and line equations5 marks
  12. Q20Algebraic fractions and rational equationsMonic quadratics and difference of squares5 marks

June 2024 Higher grade boundaries

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

  • Grade 9245
  • Grade 8195
  • Grade 7145
  • Grade 6110
  • Grade 576
  • Grade 442
  • Grade 325

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