Applications & Interpretation HL practice questions
Applications & Interpretation (AI) Higher Level extends the SL syllabus with matrices, complex numbers, graph theory, Voronoi diagrams, and further statistical modelling - built for students planning further study in economics, the social sciences, or applied technical fields. Higher Level covers the same five units in far greater depth, taught over roughly 240 hours.
Every question below is original and exam-style, with a full worked solution, IB-style mark allocations (M1/A1/etc.), and - where useful - GDC keystrokes for the calculator paper. Nothing is scanned from a real past paper; everything is written to match the current syllabus and marked in the style of IB mark schemes, with method and answer marks.
Course at a glance
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Pick a topic
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Practise with instant marking
Answer in the interactive workspace - most question types self-mark immediately.
Read the full solution
Every question includes complete working with mark codes, not just a final answer.
All Applications & Interpretation HL topics
Every topic and sub-topic in the course. Pick one to open its guide, worked examples and full set of practice questions. Also see the Applications & Interpretation HL formula booklet explained and the GDC guides.
Number & Algebra
Functions & Modelling
Geometry & Trigonometry
Statistics & Probability
FAQ
Should I take AI HL or AI SL?
AI HL is a significant step up - it adds matrices, complex numbers, graph theory, Voronoi diagrams, and Markov chains, plus roughly 90 more teaching hours. Take HL if you want a technically rigorous, applied route without AA's proof-heavy pure maths.
Do I need a graphical calculator for every topic?
Yes - all three AI HL papers allow a calculator throughout. Paper 3's extended, real-world modelling questions in particular lean on it heavily.
Are these real past IB exam questions?
No - every question is original, written to match the current syllabus and marked in the style of IB mark schemes, with method and answer marks. This avoids the copyright and staleness problems of scanned past papers, and means new questions can be added continuously.