OCR GCSE Maths past papers

OCR GCSE Maths November 2022 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, 19 minutes, marked line by line. Free, no account.

  • Algebraic fractions and rational equations
  • Completing the square and turning points
  • Independent and dependent event trees
  • Surds, exact calculations and rationalising
  • Areas of triangles, quadrilaterals and composites
Start the 19-minute set

What it tested

  • Number28 marks
  • Geometry25 marks
  • Algebra24 marks
  • Probability10 marks
  • Ratio and proportion8 marks
  • Statistics5 marks
  1. Q1Percentages, changes and multipliers3 marks
  2. Q2One-variable linear inequalities3 marks
  3. Q3Sets, Venn diagrams and sample spacesExhaustive outcomes and experimental probability3 marks
  4. Q4Fractions within ratio problemsPercentages, changes and multipliers5 marks
  5. Q5Fraction arithmetic and exact answersMetric units, money and dimensional conversion6 marks
  6. Q6Data tables, bar/pie/time-series charts and frequency polygonsSamples, populations and statistical claims5 marks
  7. Q7Angles at points, lines and parallel linesForming equations from situations5 marks
  8. Q8Solids, plans and elevationsScale factors, scale drawings and maps4 marks
13 more questions
  1. Q9Place value, ordering and decimal operationsFractional and negative indices4 marks
  2. Q10Areas of triangles, quadrilaterals and compositesForming equations from situations6 marks
  3. Q11Recurring decimals as fractions3 marks
  4. Q12Independent and dependent event treesConditional probability in tables, trees and Venn diagrams7 marks
  5. Q13Circle theorem proofs and linked geometrySimilar figures and length ratios3 marks
  6. Q14Compound growth and decayIterative formulae, roots and growth models4 marks
  7. Q15Surds, exact calculations and rationalisingFractional and negative indices7 marks
  8. Q16Average and instantaneous rates of changeSpeed, density, pressure and unit pricing4 marks
  9. Q17Area of any triangle and mixed trigonometryExact trigonometric values3 marks
  10. Q18Completing the square and turning pointsSolving monic quadratics by factorisation8 marks
  11. Q19Exponential and trigonometric graphs4 marks
  12. Q20Three-dimensional Pythagoras and trigonometry4 marks
  13. Q21Algebraic fractions and rational equationsCubic, reciprocal and contextual graphs9 marks

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