HL Sample paper 6 Solutions
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Paper 1

Section A (Concepts and Skills)

1. Sequences, Proof by induction
   Topics: Sequences and Series, Proof by Induction

2. Complex numbers sets
   Topics: Complex Numbers

3. Geometric and arithmetic sequences
   Topics: Sequences and Series, Trigonometry

4. Interesting algebra problems
   Topics: Algebra

5. Finding maximum and minimum points and point of inflection of a log function
   Topics: Differentiation

6. First principles differentiation, types of function, completing the square
   Topics: Algebra, Functions, Differentiation

Section B (Contexts and Applications)

7. Newton’s Law of Cooling [50 marks]
   Topics: Algebra

8. St Louis Gateway Arch [50 marks]
   Topics: Algebra, Measurement

9. ESB alternating voltage [50 marks]
   Topics: Differentiation, Trigonometry

Paper 2

Section A (Concepts and Skills)

1. Distance from lines, angle between lines
   Topics: Co-ordinate geometry

2. Tangents to circles
   Topics: Co-ordinate geometry

3. Cosine rule
   Topics: Trigonometry

4. Normal curves (Empirical rule)
   Topics: Statistics

5. Scatter plots
   Topics: Statistics

6. Cut of a theorem: Cyclic quadrilateral
   Topics: Geometry

Section B (Contexts and Applications)

7. NBA Basketball [50 marks]
   Topics: Statistics, Probability

8. Confidence intervals [30 marks]
   Topics: Statistics

9. Designing a brooch [70 marks]
   Topics: Co-ordinate Geometry, Trigonometry