Paper
SEC 2019
SEC 2016 (HL)
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| Paper 1 | Paper 2 |
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| 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 |