OCR GCSE Maths past papers

OCR GCSE Maths November 2019 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, 14 minutes, marked line by line. Free, no account.

  • Box plots and distribution comparisons
  • Exact trigonometric values
  • Compass constructions and loci
  • Completing the square and turning points
  • Like terms and algebraic index rules
Start the 14-minute set

What it tested

  • Algebra30 marks
  • Geometry23 marks
  • Number19 marks
  • Ratio and proportion12 marks
  • Statistics11 marks
  • Probability5 marks
  1. Q1Estimation and sense checksFraction arithmetic and exact answers5 marks
  2. Q2Primes, factor trees, HCF and LCM3 marks
  3. Q3Like terms and algebraic index rulesSubstitution and calculator brackets6 marks
  4. Q4Percentages, changes and multipliers3 marks
  5. Q5Linear equations, including both sides3 marks
  6. Q6Solving monic quadratics by factorisation3 marks
  7. Q7Sharing quantities and equivalent ratiosForming equations from situations4 marks
  8. Q8Triangles, interior and exterior polygon anglesShape vocabulary, symmetry and quadrilaterals5 marks
13 more questions
  1. Q9Compass constructions and lociScale factors, scale drawings and maps6 marks
  2. Q10Original values, profit and simple interestFraction arithmetic and exact answers5 marks
  3. Q11Samples, populations and statistical claimsExhaustive outcomes and experimental probability4 marks
  4. Q12Box plots and distribution comparisons7 marks
  5. Q13Surds, exact calculations and rationalisingRecurring decimals as fractions5 marks
  6. Q14Constructing direct/inverse proportional equations3 marks
  7. Q15Combined transformations and invarianceColumn vectors and vector arithmetic5 marks
  8. Q16Conditional probability in tables, trees and Venn diagramsSets, Venn diagrams and sample spaces5 marks
  9. Q17Fractional and negative indicesLike terms and algebraic index rules3 marks
  10. Q18Quadratic and two-variable inequalitiesPlotting lines, gradient and intercept6 marks
  11. Q19Exact trigonometric valuesSurds, exact calculations and rationalising7 marks
  12. Q20Completing the square and turning pointsQuadratic graphs, roots and turning points6 marks
  13. Q21Origin-centred circles and tangentsCoordinates and geometric problems on axes6 marks

Every topic on OCR GCSE Maths

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