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Sample Paper 3 (HL)


Paper 1 Paper 2
Section A (Concepts and Skills) Section A (Concepts and Skills)
1.  Quadratic and cubic equations
Topics: Algebraic Equations
1. Intersecting circles and tangents
Topics: Co-ordinate geometry
2. Log equations, functions
Topics: Algebraic Equations, Functions
2. Construction: Trisecting a line
Finding points on a line, distance of a point to a curve

Topics: Geometry, Co-ordinate geometry
3. Consecutive integers, proving a divisibility by induction
Topics: Sequences and Series, proof by Induction
3. Cylinder inscribed in a cone
Topics: Measurement, Algebra
4. Sets of number systems, De Moivre’s theorem
Topics: Number, Complex Numbers
4. Correlation coefficients, scatter plots
Topics: Statistics
5. Types of functions, log functions
Topics: Functions, Differentiation
5. Brocolli seeds: Probability, expected values, hypothesis testing
Topics: Probability, Statistics
6.  Cubic and linear function
Topics: Functions, Integration
6. Proof of transversal line theorem
Cut of above theorem

Topics: Geometry
   
Section B (Contexts and Applications) Section B (Contexts and Applications)
7. Oil Exploration Company finances [50 marks]
Topics: Finance
7. Scatter plots and correlation coefficients involving finance [75 marks]
Topics: Statistics

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

8. Blood Pressure graphs [50 marks]
Topics: Trigonometry, Differentiation
9. Medical drugs [50 marks]
Topics: Measurement, Algebra, Differentiation
9. Blood pressure and cholesterol [25 marks]
Topics: Probability