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Sample Paper 5 (HL)


Paper 1 Paper 2
Section A (Concepts and Skills) Section A (Concepts and Skills)
1.  Multiplying a complex number by powers of i
Topics: Complex Numbers
1. Co-ordinate geometry of a rhombus
Topics: Co-ordinate geometry
2. Simultaneous equations, factor theorem
Topics: Algebraic Equations
2. Tangent to a circle
Topics: Co-ordinate geometry
3. Power and log equations
Topics: Algebraic Equations
3. Measuring the height of trees
Topics: Trigonometry
4. Proof by induction, geometric sequences
Topics: Sequences and Series, Proof by Induction
4. Histograms and cumulative frequency curves
Topics: Statistics
5. Types of functions, intersecting functions
Topics: Functions
5. Independent events
Topics: Probability
6.  Differentiating and integrating functions
Topics: Functions, Differentiation, Integration
6. Enlargements
Topics: Geometry
   
Section B (Contexts and Applications) Section B (Contexts and Applications)
7. Population of a species of flower [50 marks]
Topics: Functions, Differentiation
7. Car accident claims (Expected value and scatter plots) [75 marks]
Topics: Probability

8. Amortisation formula (exponential and log functions) [50 marks]
Topics: Finance

8. Locating a shopping centre [35 marks]
Topics: Trigonometry, Geometry
9. Oil consumption [50 marks]
Topics: Differentiation
9. Ball bearing [40 marks]
Topics: Measurement, Geometry, Trigonometry