OCR GCSE Maths past papers

OCR GCSE Maths November 2020 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.

  • Fractional and negative indices
  • Histograms with unequal widths
  • Areas of triangles, quadrilaterals and composites
  • Completing the square and turning points
  • Compound growth and decay
Start the 22-minute set

What it tested

  • Algebra29 marks
  • Number22 marks
  • Ratio and proportion17 marks
  • Geometry16 marks
  • Probability8 marks
  • Statistics8 marks
  1. Q1Primes, factor trees, HCF and LCM2 marks
  2. Q2Single brackets and common factorsLinear equations, including both sides5 marks
  3. Q3Ratio notation and multiplicative comparisonFractions within ratio problems5 marks
  4. Q4Sets, Venn diagrams and sample spacesExhaustive outcomes and experimental probability5 marks
  5. Q5Fraction arithmetic and exact answersMetric units, money and dimensional conversion6 marks
  6. Q6Primes, factor trees, HCF and LCMMetric units, money and dimensional conversion5 marks
  7. Q7Coordinates and geometric problems on axesCongruence criteria and geometric deductions5 marks
  8. Q8Independent and dependent event trees3 marks
12 more questions
  1. Q9Congruence criteria and geometric deductionsAngles at points, lines and parallel lines4 marks
  2. Q10Original values, profit and simple interestPercentages, changes and multipliers5 marks
  3. Q11Fractional and negative indicesSurds, exact calculations and rationalising4 marks
  4. Q12Compound growth and decayExponential and trigonometric graphs7 marks
  5. Q13Exponential and trigonometric graphsTranslations and reflections of function graphs4 marks
  6. Q14Fractional and negative indicesLike terms and algebraic index rules5 marks
  7. Q15Algebraic fractions and rational equationsLinear equations, including both sides3 marks
  8. Q16Histograms with unequal widthsOrdered stem-and-leaf, averages, spread and grouped means8 marks
  9. Q17Quadratic and two-variable inequalitiesPlotting lines, gradient and intercept5 marks
  10. Q18Area of any triangle and mixed trigonometryExact trigonometric values5 marks
  11. Q19Completing the square and turning pointsQuadratic graphs, roots and turning points7 marks
  12. Q20Areas of triangles, quadrilaterals and compositesPythagoras in two dimensions7 marks

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