OCR GCSE Maths past papers

OCR GCSE Maths November 2021 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, 22 minutes, marked line by line. Free, no account.

  • Scatter graphs and predictions
  • Exact trigonometric values
  • Arc lengths and sectors
  • Box plots and distribution comparisons
  • General algebraic proofs
Start the 22-minute set

What it tested

  • Algebra28 marks
  • Geometry24 marks
  • Number22 marks
  • Statistics14 marks
  • Ratio and proportion7 marks
  • Probability5 marks
  1. Q1Fraction arithmetic and exact answersEquivalent fractions and mixed numbers3 marks
  2. Q2Primes, factor trees, HCF and LCMFractional and negative indices2 marks
  3. Q3Percentages, changes and multipliersMetric units, money and dimensional conversion5 marks
  4. Q4Scatter graphs and predictionsPercentages, changes and multipliers8 marks
  5. Q5Prisms, cylinders and surface areaAreas of triangles, quadrilaterals and composites4 marks
  6. Q6Direct and inverse proportion: tables and relationshipsProportional graphs and rates of change2 marks
  7. Q7One-variable linear inequalities5 marks
  8. Q8Cubic, reciprocal and contextual graphs4 marks
14 more questions
  1. Q9Compound growth and decay5 marks
  2. Q10Estimation and sense checksSpeed, density, pressure and unit pricing4 marks
  3. Q11Exact trigonometric valuesPythagoras in two dimensions7 marks
  4. Q12Box plots and distribution comparisonsSamples, populations and statistical claims6 marks
  5. Q13Recurring decimals as fractions5 marks
  6. Q14Area and volume in similar figures2 marks
  7. Q15Surds, exact calculations and rationalising3 marks
  8. Q16Conditional probability in tables, trees and Venn diagramsSets, Venn diagrams and sample spaces5 marks
  9. Q17Algebraic fractions and rational equationsMonic quadratics and difference of squares5 marks
  10. Q18Circle theorems and angle chainsRatio notation and multiplicative comparison5 marks
  11. Q19Origin-centred circles and tangentsSurds, exact calculations and rationalising4 marks
  12. Q20Formulae and changing the subject4 marks
  13. Q21Arc lengths and sectors6 marks
  14. Q22General algebraic proofsThree binomials and non-monic factorisation6 marks

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