HL Sample paper 3 Solutions
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Paper 1

Section A (Concepts and Skills)

1. Quadratic and cubic equations
   Topics: Algebraic Equations

2. Log equations, functions
   Topics: Algebraic Equations, Functions

3. Consecutive integers, proving a divisibility by induction
   Topics: Sequences and Series, proof by Induction

4. Sets of number systems, De Moivre’s theorem
   Topics: Number, Complex Numbers

5. Types of functions, log functions
   Topics: Functions, Differentiation

6. Cubic and linear function
   Topics: Functions, Integration

Section B (Contexts and Applications)

7. Oil Exploration Company finances [50 marks]
   Topics: Finance

8. Silver jewellery (mixtures of metals) [50 marks]
   Topics: Algebra, Finance

9. Medical drugs [50 marks]
   Topics: Measurement, Algebra, Differentiation

Paper 2

Section A (Concepts and Skills)

1. Intersecting circles and tangents
   Topics: Co-ordinate geometry

2. Finding points on a line, distance of a point to a curve
   Topics: Geometry, Co-ordinate geometry

3. Cylinder inscribed in a cone
   Topics: Measurement, Algebra

4. Correlation coefficients, scatter plots
   Topics: Statistics

5. Brocolli seeds: Probability, expected values, hypothesis testing
   Topics: Probability, Statistics

6. Cut of above theorem
   Topics: Geometry

Section B (Contexts and Applications)

7. Scatter plots and correlation coefficients involving finance [75 marks]
   Topics: Statistics

8. Blood Pressure graphs [50 marks]
   Topics: Trigonometry, Differentiation

9. Blood pressure and cholesterol [25 marks]
   Topics: Probability