OCR GCSE Maths past papers

OCR GCSE Maths June 2023 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, 22 minutes, marked line by line. Free, no account.

  • Formulae and changing the subject
  • Linear/quadratic simultaneous equations
  • Histograms with unequal widths
  • Completing the square and turning points
  • Three-dimensional Pythagoras and trigonometry
Start the 22-minute set

What it tested

  • Algebra38 marks
  • Geometry20 marks
  • Number15 marks
  • Ratio and proportion12 marks
  • Statistics9 marks
  • Probability6 marks
  1. Q1Data tables, bar/pie/time-series charts and frequency polygons1 mark
  2. Q2Formulae and changing the subjectSubstitution and calculator brackets5 marks
  3. Q3Exhaustive outcomes and experimental probabilityProbability language, frequency trees and expectation6 marks
  4. Q4Direct and inverse proportion: tables and relationshipsCubic, reciprocal and contextual graphs4 marks
  5. Q5Compass constructions and loci5 marks
  6. Q6Original values, profit and simple interestPercentages, changes and multipliers5 marks
  7. Q7Quadratic graphs, roots and turning pointsSubstitution and calculator brackets4 marks
  8. Q8Right-triangle trigonometry in two dimensionsShape vocabulary, symmetry and quadrilaterals4 marks
12 more questions
  1. Q9Forming equations from situationsSharing quantities and equivalent ratios4 marks
  2. Q10Primes, factor trees, HCF and LCMLike terms and algebraic index rules5 marks
  3. Q11Formulae and changing the subjectAreas of triangles, quadrilaterals and composites5 marks
  4. Q12Upper/lower bounds in calculationsRounding, significant figures and error intervals5 marks
  5. Q13Histograms with unequal widthsBox plots and distribution comparisons8 marks
  6. Q14Three-dimensional Pythagoras and trigonometryPyramids, cones, spheres and composite solids7 marks
  7. Q15Area and volume in similar figures4 marks
  8. Q16Compound growth and decaySubstitution and calculator brackets3 marks
  9. Q17Geometric sequences with surds and other patternsFractional and negative indices4 marks
  10. Q18Linear/quadratic simultaneous equationsOrigin-centred circles and tangents9 marks
  11. Q19Surds, exact calculations and rationalising5 marks
  12. Q20Completing the square and turning pointsQuadratic graphs, roots and turning points7 marks

June 2023 Higher grade boundaries

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

  • Grade 9242
  • Grade 8193
  • Grade 7144
  • Grade 6109
  • Grade 574
  • Grade 439
  • Grade 321

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