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OL SEC 2013 Solutions

Paper 1

Section A (Concepts and Skills)

  1. Argand diagrams, modulus, division
    Topics: Complex Numbers
  1. Quadratic function, trapezoidal rule
    Topics: Functions, Measurement
  1. Scientific notation, number line, power equation
    Topics: Number, Algebra
  1. Compound interest on a credit card
    Topics: Finance
  1. Differentiating functions
    Topics: Differentiation
  1. Intersecting functions
    Topics: Functions, Differentiation, Co-ordinate Geometry

Section B (Contexts and Applications)

  1. Filling cylindrical tanks [40 marks]
    Topics: Functions
  1. Salaries of Eoin and Peter [60 marks]
    Topics: Sequences and Series
  1. Company’s output and profit [50 marks]
    Topics: Functions, Finance, Differentiation

Paper 2

Section A (Concepts and Skills)

  1. Tossing a coin
    Topics: Probability
  1. Spinners, Bernoulli trials
    Topics: Probability
  1. Intersecting lines
    Topics: Co-ordinate geometry
  1. Touching circles
    Topics: Co-ordinate geometry
  1. Net of a cylinder
    Topics: Measurement
  1. Cut of a theorem on triangles
    Topics: Geometry

Section B (Contexts and Applications)

  1. Births, marriages and deaths [75 marks]
    Topics: Statistics, Finance
  1. Searching for a buoy at sea [75 marks]
    Topics: Trigonometry, Geometry

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