OCR A-level Maths past papers

OCR A-level Maths November 2020 Paper 3

  • H240/03
  • Pure mathematics and mechanics
  • 2 hours
  • 100 marks

Question paper, Mark scheme, Examiner report: on the OCR website.

Practise this paper's topics

5 new exam questions, 41 minutes, marked line by line. Free, no account.

  • Connected particles and smooth pulleys
  • Projectiles: components, trajectories and height
  • Area between curves and parametric areas
  • Composite/inverse functions and domain/range
  • Implicit differentiation and parametric curves
Start the 41-minute set

What it tested

  • Pure50 marks
  • Mechanics50 marks
  1. Q1Non-right triangles and the ambiguous case2 marks
  2. Q2Exponential graphs and transformationsShifts, stretches and reflections3 marks
  3. Q3Composite/inverse functions and domain/rangeInequalities and solution sets11 marks
  4. Q4Newton-Raphson, failure cases and contextual rootsStationary points, optimisation and curvature11 marks
  5. Q5Area between curves and parametric areasIntegration by parts, including repeated use12 marks
  6. Q6Implicit differentiation and parametric curvesTangents, normals and increasing/decreasing intervals11 marks
  7. Q7Two-dimensional motion with vectors and calculusMagnitude, direction and vector geometry6 marks
  8. Q8Variable-acceleration motion in one dimension7 marks
3 more questions
  1. Q9Connected particles and smooth pulleysFriction: equilibrium, limiting cases and sliding13 marks
  2. Q10Moments and rigid-body equilibriumLadders, rods and connected-system models11 marks
  3. Q11Projectiles: components, trajectories and height13 marks

Every topic on OCR A-level Maths

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