HL SEC 2014 Solutions
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Paper 1

Section A (Concepts and Skills)

1. Intersecting functions
   Topics: Functions

2. Complex roots of a cubic equation
   Topics: Complex numbers

3. Proof by induction, series
   Topics: Proof by induction, Sequences and Series

4. Differentiation from first principles, tangent to a curve
   Topics: Differentiation

5. Integrating functions, average value of a function
   Topics: Integration

6. Arithmetic series
   Topics: Sequences and Series

Section B (Contexts and Applications)

7. Pythagorean triples [40 marks]
   Topics: Algebra, Functions, Differentiation

8. Mizen Head Footbridge [50 marks]
   Topics: Algebra, Functions, Integration

9. Baby food preparation [60 marks]
   Topics: Functions, Differentiation

Paper 2

Section A (Concepts and Skills)

1. Solving triangles, 3-d trig
   Topics: Trigonometry

2. Trig identity, sectors
   Topics: Trigonometry

3. Probability with spinners
   Topics: Probability

4. Alternating voltage (trig graph)
   Topics: Trigonometry

5. Equation of a line, area of a triangle
   Topics: Coordinate geometry

6. Cut of a theorem: Intersecting chords
   Topics: Geometry

Section B (Contexts and Applications)

7. Labour Force Data [45 marks]
   Topics: Statistics

8. Blood tests (Conditional probability) [45 marks]
   Topics: Probability

9. Circular clock face [60 marks]
   Topics: Coordinate geometry, Geometry