HL Sample paper 4 Solutions
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Paper 1

Section A (Concepts and Skills)

1. Complex roots of quadratic and cubic equations
   Topics: Complex Numbers

2. Surd and log equations
   Topics: Algebraic Equations

3. Simultaneous equations, roots of equations
   Topics: Algebraic Equations

4. Geometric and arithmetic sequences
   Topics: Sequences and Series

5. Types of functions
   Topics: Functions

6. Intersecting functions
   Topics: Functions, Differentiation, Integration

Section B (Contexts and Applications)

7. Tennis question [50 marks]
   Topics: Algebra

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

9. Cone inscribed inside a sphere [50 marks]
   Topics: Measurement, Differentiation

Paper 2

Section A (Concepts and Skills)

1. Angles between lines
   Topics: Co-ordinate geometry

2. Circles touching internally
   Topics: Co-ordinate geometry

3. Cosine rule, parallelograms
   Topics: Trigonometry

4. Normal curves
   Topics: Statistics

5. Probability distribution, conditional probability
   Topics: Probability

6. Enlargement of a triangle
   Topics: Co-ordinate geometry

Section B (Contexts and Applications)

7. Expected value [50 marks]
   Topics: Probability

8. Casino table [25 marks]
   Topics: Trigonometry, Differentiation

9. Flying kites [75 marks]
   Topics: Trigonometry