IB Math AI SL Unit 3: Geometry & Trigonometry

IB Maths AI SL Unit 3: Geometry and Trigonometry, topic by topic

Each topic in this unit has a free page with step-by-step worked examples and the key formulas, then exam-style questions with mark schemes.

• 3D Coordinate Geometry questions13 questions · 3 worked examples
• 3D Trigonometry questions13 questions · 3 worked examples
• Arcs and Sectors questions13 questions · 3 worked examples
• Coordinate Geometry questions31 questions · 5 worked examples
• Non-Right-Angled Trigonometry questions42 questions · 5 worked examples
• Right-Angled Trigonometry questions11 questions · 3 worked examples
• Three-Figure Bearings and Navigation questions10 questions · 3 worked examples
• Voronoi Diagrams questions33 questions · 4 worked examples

Learn it first: AI SL Unit 3 notes

• 3D geometry
• Sine rule vs cosine rule
• 3D trigonometry
• Bearings and navigation problems

Where marks go in AI SL Unit 3

From the IB subject reports we summarise on AI SL Examiner Insights, in our own words:

• Triangles and 3D: wrong rule, wrong angle, missing units. Mark the given sides and the angle you want on a sketch before choosing the rule. Right angle: SOH CAH TOA. Otherwise sine or cosine rule. Add units to measurement answers.
• Voronoi diagrams and bisectors: midpoint, negative reciprocal, vertices. Perpendicular bisector: midpoint of the two sites, gradient −1/m, then y − y₁ = m(x − x₁). A vertex is where two bisectors meet: solve them together. Vertical and horizontal bisectors are x = … and y = ….

The questions here are original, written in the style of IB papers with IB-style mark schemes; for real papers see the IB Maths AI SL past papers page.

FAQ

Also for AI SL: common exam mistakes · syllabus checklist