OCR GCSE Maths past papers

OCR GCSE Maths November 2024 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, 18 minutes, marked line by line. Free, no account.

  • Arc lengths and sectors
  • Exhaustive outcomes and experimental probability
  • Cumulative frequency and quantiles
  • Quadratic and two-variable inequalities
  • Algebraic fractions and rational equations
Start the 18-minute set

What it tested

  • Algebra29 marks
  • Ratio and proportion22 marks
  • Number18 marks
  • Geometry16 marks
  • Probability8 marks
  • Statistics7 marks
  1. Q1Fraction arithmetic and exact answersEquivalent fractions and mixed numbers4 marks
  2. Q2Triangles, interior and exterior polygon angles3 marks
  3. Q3Original values, profit and simple interestPercentages, changes and multipliers6 marks
  4. Q4Algebraic language and notation2 marks
  5. Q5Place value, ordering and decimal operations5 marks
  6. Q6Exhaustive outcomes and experimental probabilitySets, Venn diagrams and sample spaces2 marks
  7. Q7Direct and inverse proportion: tables and relationshipsPercentages, changes and multipliers6 marks
  8. Q8Single brackets and common factorsLike terms and algebraic index rules2 marks
14 more questions
  1. Q9Linear equations, including both sides3 marks
  2. Q10Plotting lines, gradient and interceptSubstitution and calculator brackets3 marks
  3. Q11Exhaustive outcomes and experimental probabilitySharing quantities and equivalent ratios6 marks
  4. Q12Speed, density, pressure and unit pricingEstimation and sense checks4 marks
  5. Q13Decimals, fractions and percentages2 marks
  6. Q14Compound growth and decayExponential and trigonometric graphs6 marks
  7. Q15Arc lengths and sectorsPythagoras in two dimensions8 marks
  8. Q16Quadratic and two-variable inequalitiesEquations of lines and parallel lines7 marks
  9. Q17Cumulative frequency and quantilesExhaustive outcomes and experimental probability7 marks
  10. Q18Algebraic fractions and rational equationsSolving monic quadratics by factorisation6 marks
  11. Q19Circle theorems and angle chains5 marks
  12. Q20Surds, exact calculations and rationalising2 marks
  13. Q21Fractional and negative indicesLike terms and algebraic index rules5 marks
  14. Q22General algebraic proofsTerm rules, special and geometric sequences6 marks

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