OCR MEI A-level Maths past papers

OCR MEI A-level Maths November 2021 Paper 1

  • H640/01
  • Pure mathematics and mechanics
  • 2 hours
  • 100 marks

Question paper, Mark scheme: on the OCR website.

Practise this paper's topics

5 new exam questions, 35 minutes, marked line by line. Free, no account.

  • Two-dimensional motion with vectors and calculus
  • Newton-Raphson, failure cases and contextual roots
  • Projectiles: components, trajectories and height
  • Separable differential equations and interpretation
  • Circles, tangents and intersections
Start the 35-minute set

What it tested

  • Pure53 marks
  • Mechanics47 marks
  1. Q1Deduction, exhaustion and counterexamples2 marks
  2. Q2Force diagrams, weight and Newton's first lawMechanics units and signed quantities3 marks
  3. Q3Inequalities and solution sets5 marks
  4. Q4Recursive sequences, monotonicity, periodicity and sigmaGeometric progressions and convergence6 marks
  5. Q5Moments and rigid-body equilibriumEquilibrium and Newton's third-law pairs5 marks
  6. Q6Reciprocal and inverse trig functionsTangents, normals and increasing/decreasing intervals7 marks
  7. Q7Circles, tangents and intersectionsLinear and quadratic simultaneous equations10 marks
  8. Q8Newton-Raphson, failure cases and contextual rootsBracketing roots and failure of sign-change arguments12 marks
5 more questions
  1. Q9Connected particles and smooth pulleysNewton's second law in one dimension8 marks
  2. Q10Projectiles: components, trajectories and heightConstant-acceleration equations and derivations11 marks
  3. Q11Separable differential equations and interpretationConnected rates and setting up differential equations11 marks
  4. Q12Friction: equilibrium, limiting cases and slidingResolving forces, resultants and inclined planes7 marks
  5. Q13Two-dimensional motion with vectors and calculusNewton's second law in one dimension13 marks

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