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Sample Paper 4 (HL)


Paper 1 Paper 2
Section A (Concepts and Skills) Section A (Concepts and Skills)
1.  Complex roots of quadratic and cubic equations
Topics: Complex Numbers
1. Angles between lines
Topics: Co-ordinate geometry
2. Surd and log equations
Topics: Algebraic Equations
2. Circles touching internally
Topics: Co-ordinate geometry
3. Simultaneous equations, roots of equations
Topics: Algebraic Equations
3. Cosine rule, parallelograms
Topics: Trigonometry
4. Geometric and arithmetic sequences
Topics: Sequences and Series
4. Normal curves
Topics: Statistics
5. Types of functions
Topics: Functions
5. Probability distribution, conditional probability
Topics: Probability
6.  Intersecting functions
Topics: Functions, Differentiation, Integration
6. Enlargement of a triangle
Topics: Co-ordinate geometry
   
Section B (Contexts and Applications) Section B (Contexts and Applications)
7. Tennis question [50 marks]
Topics: Algebra
7. Expected value [50 marks]
Topics: Probability

8. Health insurance (exponential and log functions) [50 marks]
Topics: Functions, Algebra

8. Casino table [25 marks]
Topics: Trigonometry, Differentiation
9. Cone inscribed inside a sphere [50 marks]
Topics: Measurement, Differentiation
9. Flying kites [75 marks]
Topics: Trigonometry