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Sample Paper 6 (HL)


Paper 1 Paper 2
Section A (Concepts and Skills) Section A (Concepts and Skills)
1.  Sequences, Proof by induction
Topics: Sequences and Series, Proof by Induction
1. Distance from lines, angle between lines
Topics: Co-ordinate geometry
2. Complex numbers sets
Topics: Complex Numbers
2. Tangents to circles
Topics: Co-ordinate geometry
3. Geometric and arithmetic sequences
Topics: Sequences and Series, Trigonometry
3. Cosine rule
Topics: Trigonometry
4. Interesting algebra problems
Topics: Algebra
4. Normal curves (Empirical rule)
Topics: Statistics
5. Finding maximum and minimum points and point of inflection of a log function
Topics: Differentiation
5. Scatter plots
Topics: Statistics
6.  First principles differentiation, types of function, completing the square
Topics: Algebra, Functions, Differentiation
6. Cut of a theorem: Cyclic quadrilateral
Topics: Geometry
   
Section B (Contexts and Applications) Section B (Contexts and Applications)
7. Newton’s Law of Cooling [50 marks]
Topics: Algebra
7. NBA Basketball [50 marks]
Topics: Statistics, Probability

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

8. Confidence intervals [30 marks]
Topics: Statistics
9. ESB alternating voltage [50 marks]
Topics: Differentiation, Trigonometry
9. Designing a brooch [70 marks]
Topics: Co-ordinate Geometry, Trigonometry