HL Sample paper 2014 Solutions
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Paper 1

Section A (Concepts and Skills)

1. De Moivre’s theorem, Argand diagram
   Topics: Complex numbers

2. Proof by induction, sum of arithmetic series, logs
   Topics: Proof by Induction, Sequences and Series, Algebra

3. Cubic functions
   Topics: Algebraic equations, Functions

4. Simultaneous equations, Modulus inequality
   Topics: Algebraic equations

5. Cubic functions
   Topics: Functions, Differentiation

6. Integrating different functions
   Topics: Integration

Section B (Contexts and Applications)

7. Net of a rectangular box [50 marks]
   Topics: Measurement, Algebra, Functions

8. Padraig’s pension [50 marks]
   Topics: Finance

9. 100 m race, Melting snowball [50 marks]
   Topics: Algebra, Functions, Differentiation

Paper 2

Section A (Concepts and Skills)

1. Expected value
   Topics: Probability

2. Types of sampling, margin of error
   Topics: Statistics

3. Equation of a line
   Topics: Co-ordinate geometry

4. Equation of a circle
   Topics: Co-ordinate geometry

5. Trig graph
   Topics: Trigonometry

6. Theorem cut: Triangle
   Topics: Geometry

Section B (Contexts and Applications)

7. King of the Hill [75 marks]
   Topics: Statistics Probability

8. Solar panel stand [50 marks]
   Topics: Trigonometry

9. Tetrahedron [25 marks]
   Topics: Measurement, Trigonometry