OCR A-level Maths past papers

OCR A-level Maths June 2019 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, 30 minutes, marked line by line. Free, no account.

  • Ladders, rods and connected-system models
  • Newton-Raphson, failure cases and contextual roots
  • Two-dimensional motion with vectors and calculus
  • Projectiles: components, trajectories and height
  • Rational integration and logarithmic forms
Start the 30-minute set

What it tested

  • Pure50 marks
  • Mechanics50 marks
  1. Q1Non-right triangles and the ambiguous case2 marks
  2. Q2Circles, tangents and intersectionsQuadratics: square form, discriminants and roots8 marks
  3. Q3Modulus graphs, equations and inequalitiesShifts, stretches and reflections7 marks
  4. Q4Newton-Raphson, failure cases and contextual rootsTrapezium estimates and bounds14 marks
  5. Q5Advanced trig equations and proofsReciprocal and inverse trig functions9 marks
  6. Q6Rational integration and logarithmic formsRational expressions and partial fractions10 marks
  7. Q7Motion graphs and area/gradient reasoningConstant-acceleration equations and derivations4 marks
  8. Q8Projectiles: components, trajectories and height10 marks
3 more questions
  1. Q9Connected particles and smooth pulleysFriction: equilibrium, limiting cases and sliding9 marks
  2. Q10Two-dimensional motion with vectors and calculusMagnitude, direction and vector geometry13 marks
  3. Q11Ladders, rods and connected-system modelsMoments and rigid-body equilibrium14 marks

Every topic on OCR A-level Maths

A-level Maths Pro

£129 once

Price rises to £199 on 1 January. Save £70 by joining before then.

At least 12 months of access

By paying you agree to our Terms and get access straight away, which ends your 14-day cancellation right.

No VAT is charged.