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OCR GCSE Maths past papers

OCR GCSE Maths November 2023 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, 20 minutes, marked line by line. Free, no account.

  • Arc lengths and sectors
  • Circle theorems and angle chains
  • Quadratic and two-variable inequalities
  • Sharing quantities and equivalent ratios
  • Translations and reflections of function graphs
Start the 20-minute set

What it tested

  • Algebra30 marks
  • Geometry25 marks
  • Number19 marks
  • Ratio and proportion12 marks
  • Statistics9 marks
  • Probability5 marks
  1. Q1Primes, factor trees, HCF and LCM2 marks
  2. Q2Estimation and sense checksRounding, significant figures and error intervals2 marks
  3. Q3Like terms and algebraic index rulesSingle brackets and common factors4 marks
  4. Q4Data tables, bar/pie/time-series charts and frequency polygonsSamples, populations and statistical claims2 marks
  5. Q5Column vectors and vector arithmetic3 marks
  6. Q6Reflections, rotations and translations2 marks
  7. Q7Percentages, changes and multipliersMetric units, money and dimensional conversion4 marks
  8. Q8Speed, density, pressure and unit pricing2 marks
17 more questions
  1. Q9Sharing quantities and equivalent ratiosFractions within ratio problems6 marks
  2. Q10Term rules, special and geometric sequences4 marks
  3. Q11Fraction arithmetic and exact answersPlace value, ordering and decimal operations5 marks
  4. Q12Equations of lines and parallel lines2 marks
  5. Q13Cubic, reciprocal and contextual graphs5 marks
  6. Q14Samples, populations and statistical claims3 marks
  7. Q15Compass constructions and lociScale factors, scale drawings and maps5 marks
  8. Q16Box plots and distribution comparisons4 marks
  9. Q17Constructing direct/inverse proportional equations4 marks
  10. Q18Recurring decimals as fractionsFraction arithmetic and exact answers4 marks
  11. Q19Quadratic and two-variable inequalitiesPlotting lines, gradient and intercept6 marks
  12. Q20Fractional and negative indices2 marks
  13. Q21Translations and reflections of function graphsCompleting the square and turning points6 marks
  14. Q22Circle theorems and angle chains6 marks
  15. Q23Arc lengths and sectorsExact trigonometric values9 marks
  16. Q24Linear/quadratic simultaneous equationsIdentities and algebraic reasoning3 marks
  17. Q25Conditional probability in tables, trees and Venn diagramsIndependent and dependent event trees5 marks

Every topic on OCR GCSE Maths

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