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Sample paper 1

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Sample paper 7


SEC 2016 (HL)

Paper 1 Paper 2
Section A (Concepts and Skills) Section A (Concepts and Skills)
1.  De Moivre’s theorem, roots of equations
Topics: Complex numbers
1. Equation of a line, orthocentre of a triangle
Topics: Coordinate Geometry
2. Modulus inequality, simultaneous equations
Topics: Algebraic equations
2. Equation of a line, tangent to a circle
Topics: Coordinate Geometry
3. Exponential functions
Topics: Functions
3. Trig identity proof, trig equation
Topics: Trigonometry
4. Proving a divisibility by induction; Logs
Topics: Proof by Induction, Algebraic expressions
4. Similar triangles, construction
Topics: Geometry
5. Pythagoras, injective and inverse functions
Topics: Algebraic expressions, Functions
5. Probability, independent events
Topics: Probability
6.  Differentiate from first principles, product rule, slope of a tangent
Topics: Differentiation
6. Expected value
Topics: Probability
Section B (Contexts and Applications) Section B (Contexts and Applications)
7. Inflating a ball [40 marks]
Topics: Differentiation, Integration
7. Glass roof lantern (3-d triangles) [55 marks]
Topics: Trigonometry
8. Free shots in basketball, heptathlon [55 marks]
Topics: Differentiation, Functions
8. Water levels in a port (Trig graphs) [45 marks]
Topics: Trigonometry
9. Forming a pattern, mating bees [55 marks]
Topics: Sequences and Series
9. Earning data (Inferential Statistics) [50 marks]
Topics: Statistics