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OCR GCSE Maths past papers

OCR GCSE Maths June 2023 Paper 3

  • J560/03
  • Foundation
  • 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, 13 minutes, marked line by line. Free, no account.

  • Data tables, bar/pie/time-series charts and frequency polygons
  • Ratio notation and multiplicative comparison
  • Exhaustive outcomes and experimental probability
  • Primes, factor trees, HCF and LCM
  • Compass constructions and loci
Start the 13-minute set

What it tested

  • Ratio and proportion21 marks
  • Algebra20 marks
  • Geometry19 marks
  • Number19 marks
  • Probability11 marks
  • Statistics10 marks
  1. Q1Shape vocabulary, symmetry and quadrilateralsSolids, plans and elevations4 marks
  2. Q2Primes, factor trees, HCF and LCMPlace value, ordering and decimal operations3 marks
  3. Q3Primes, factor trees, HCF and LCMInteger powers and roots3 marks
  4. Q4Speed, density, pressure and unit pricingDirect and inverse proportion: tables and relationships5 marks
  5. Q5Coordinates and geometric problems on axesPlotting lines, gradient and intercept5 marks
  6. Q6Like terms and algebraic index rulesSingle brackets and common factors4 marks
  7. Q7Ordered stem-and-leaf, averages, spread and grouped meansPercentages, changes and multipliers3 marks
  8. Q8Areas of triangles, quadrilaterals and compositesCircle vocabulary and perimeter4 marks
17 more questions
  1. Q9Sets, Venn diagrams and sample spacesExhaustive outcomes and experimental probability5 marks
  2. Q10Ratio notation and multiplicative comparisonFractions within ratio problems7 marks
  3. Q11Similar figures and length ratios2 marks
  4. Q12Data tables, bar/pie/time-series charts and frequency polygonsSharing quantities and equivalent ratios6 marks
  5. Q13Integer powers and rootsSigned arithmetic and number lines3 marks
  6. Q14Fraction arithmetic and exact answersFractions within ratio problems4 marks
  7. Q15Data tables, bar/pie/time-series charts and frequency polygons1 mark
  8. Q16Standard form and calculator entry3 marks
  9. Q17Rounding, significant figures and error intervals3 marks
  10. Q18Formulae and changing the subject2 marks
  11. Q19Exhaustive outcomes and experimental probabilityProbability language, frequency trees and expectation6 marks
  12. Q20Compound growth and decayPercentages, changes and multipliers4 marks
  13. Q21Forming equations from situationsLinear equations, including both sides5 marks
  14. Q22Compass constructions and loci5 marks
  15. Q23Original values, profit and simple interestPercentages, changes and multipliers5 marks
  16. Q24Quadratic graphs, roots and turning pointsSubstitution and calculator brackets4 marks
  17. Q25Right-triangle trigonometry in two dimensionsShape vocabulary, symmetry and quadrilaterals4 marks

June 2023 Foundation grade boundaries

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

  • Grade 5178
  • Grade 4129
  • Grade 392
  • Grade 256
  • Grade 120

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