HL Sample paper 5 Solutions
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Paper 1

Section A (Concepts and Skills)

1. 
   Topics: Complex Numbers

2. Simultaneous equations, factor theorem
   Topics: Algebraic Equations

3. Power and log equations
   Topics: Algebraic Equations

4. Proof by induction, geometric sequences
   Topics: Sequences and Series, Proof by Induction

5. Types of functions, intersecting functions
   Topics: Functions

6. Differentiating and integrating functions
   Topics: Functions, Differentiation, Integration

Section B (Contexts and Applications)

7. Population of a species of flower [50 marks]
   Topics: Functions, Differentiation

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

9. Oil consumption [50 marks]
   Topics: Differentiation

Paper 2

Section A (Concepts and Skills)

1. Co-ordinate geometry of a rhombus
   Topics: Co-ordinate geometry

2. Tangent to a circle
   Topics: Co-ordinate geometry

3. Measuring the height of trees
   Topics: Trigonometry

4. Histograms and cumulative frequency curves
   Topics: Statistics

5. Independent events
   Topics: Probability

6. Enlargements
   Topics: Geometry

Section B (Contexts and Applications)

7. Car accident claims (Expected value and scatter plots) [75 marks]
   Topics: Probability

8. Locating a shopping centre [35 marks]
   Topics: Trigonometry, Geometry

9. Ball bearing [40 marks]
   Topics: Measurement, Geometry, Trigonometry