HL SEC 2013 Solutions
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Paper 1

Section A (Concepts and Skills)

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

2. Quadratic inequalities, simultaneous equations
   Topics: Algebraic equations

3. Carbon dating
   Topics: Algebra

4. Compound interest
   Topics: Finance

5. Graphs of different function
   Topics: Functions, Differentiation

6. Area under a curve (Trapezoidal rule)
   Topics: Measurement, Integration

Section B (Contexts and Applications)

7. Ticket sales to a stadium [50 marks]
   Topics: Finance

8. Falling rain-drop [50 marks]
   Topics: Functions, Differentiation

9. Patterns with matchsticks [50 marks]
   Topics: Sequences and Series

Paper 2

Section A (Concepts and Skills)

1. Venn Diagrams
   Topics: Probability

2. Mean and Standard deviation
   Topics: Statistics

3. Equation of a line, angle between lines
   Topics: Co-ordinate geometry

4. Touching circles externally
   Topics: Co-ordinate geometry

5. Proof of Sine rule, using sine rule, area of a triangle
   Topics: Trigonometry

6. Parallelograms
   Topics: Geometry

Section B (Contexts and Applications)

7. Survey of airline passengers [75 marks]
   Topics: Statistics

8. Ships in a port [30 marks]
   Topics: Probability

9. Arbelos [45 marks]
   Topics: Measurement, Geometry, Differentiation