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Sample paper 1

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Sample paper 7


SEC 2013 (HL)

Paper 1 Paper 2
Section A (Concepts and Skills) Section A (Concepts and Skills)
1.  De Moivre’s theorem, Argand diagram
Topics: Complex Numbers
1. Venn Diagrams
Topics: Probability
2. Quadratic inequalities, simultaneous equations
Topics: Algebraic equations
2. Mean and Standard deviation
Topics: Statistics
3. Carbon dating
Topics: Algebra
3. Equation of a line, angle between lines
Topics: Co-ordinate geometry
4. Compound interest
Topics: Finance
4. Touching circles externally
Topics: Co-ordinate geometry
5. Graphs of different function
Topics: Functions, Differentiation
5. Proof of Sine rule, using sine rule, area of a triangle
Topics: Trigonometry
6. Area under a curve (Trapezoidal rule)
Topics: Measurement, Integration
6. Explaining circumcentre, incentre, centroid
Construction: Orthocentre of a triangle

Topics: Geometry
Section B (Contexts and Applications) Section B (Contexts and Applications)
7. Ticket sales to a stadium [50 marks]
Topics: Finance
7. Survey of airline passengers [75 marks]
Topics: Statistics

8. Falling rain-drop [50 marks]
Topics: Functions, Differentiation

8. Ships in a port [30 marks]
Topics: Probability
9. Patterns with matchsticks [50 marks]
Topics: Sequences and Series
9. Arbelos [45 marks]
Topics: Measurement, Geometry, Differentiation