IB Math AI HL Worksheets — 44 free topic worksheets with answers
Every AI HL syllabus topic has its own 120-mark worksheet, graded from routine practice to the multi-step questions that decide a 7. 21 of the 44 sets include full worked solutions. Each worksheet has its own page explaining what it covers and how to use it, plus the direct PDF.
Written for IB Mathematics: Applications and Interpretation HL, first assessment 2021 onwards.
Topic 1: Number & Algebra — 8 worksheets
| Worksheet | Pages | Solutions | Download |
|---|---|---|---|
| Complex Numbers | 23 | Questions only | |
| Eigenvalues and Diagonalisation | 24 | Included | |
| Exponentials and Logs | 22 | Included | |
| Financial Applications | 24 | Questions only | |
| Further Complex Numbers | 24 | Questions only | |
| Matrices | 24 | Included | |
| Number Toolkit (Set 2) | 22 | Included | |
| Sequences and Series | 23 | Included |
Topic 2: Functions — 6 worksheets
| Worksheet | Pages | Solutions | Download |
|---|---|---|---|
| Functions | 27 | Included | |
| Functions Toolkit | 26 | Included | |
| Linear Functions | 25 | Questions only | |
| Logarithmic, Logistic and Piecewise Functions | 31 | Questions only | |
| Modelling with Functions | 32 | Included | |
| Transformations of Graphs | 24 | Questions only |
Topic 3: Geometry & Trigonometry — 10 worksheets
| Worksheet | Pages | Solutions | Download |
|---|---|---|---|
| 3D Geometry | 23 | Included | |
| Geometry and Trigonometry Toolkit | 24 | Questions only | |
| Graph Theory | 27 | Questions only | |
| Matrix Transformations | 28 | Questions only | |
| Trigonometric Identities and Equations | 26 | Included | |
| Trigonometry | 21 | Included | |
| Vector Equations of Lines | 27 | Included | |
| Vector Properties | 24 | Questions only | |
| Vectors and Kinematics | 26 | Questions only | |
| Voronoi Diagrams | 25 | Questions only |
Topic 4: Statistics & Probability — 13 worksheets
| Worksheet | Pages | Solutions | Download |
|---|---|---|---|
| Binomial Distribution | 22 | Questions only | |
| Chi-Squared Hypothesis Testing | 27 | Included | |
| Correlation and Regression | 26 | Questions only | |
| Hypothesis Testing | 27 | Included | |
| Markov Chains | 27 | Questions only | |
| Non-Linear Regression and Log Scales | 25 | Questions only | |
| Normal Distribution | 23 | Questions only | |
| Poisson Distribution | 23 | Questions only | |
| Probability | 25 | Included | |
| Probability Distributions | 22 | Questions only | |
| Random Variables | 24 | Included | |
| Sample Means and Confidence Intervals | 22 | Questions only | |
| Statistics Toolkit | 31 | Questions only |
Topic 5: Calculus — 7 worksheets
| Worksheet | Pages | Solutions | Download |
|---|---|---|---|
| Coupled and Second-Order Differential Equations | 21 | Included | |
| Differential Equations | 24 | Included | |
| Differentiation | 22 | Included | |
| Further Differentiation | 21 | Questions only | |
| Further Integration | 24 | Included | |
| Integration | 22 | Questions only | |
| Kinematics | 26 | Included |
How to get the most from the AI HL worksheets
- One topic at a time, straight after you cover it in class. A worksheet done the same week beats three done the night before the test.
- Booklet closed for the first band. Then open the AI HL formula booklet guide to see which formulas you should have known.
- Time the exam-standard band. About 1.2 minutes per mark.
- Finish with the AI HL question bank for the same topic, then a past paper.
AI HL worksheets — common questions
Are these IB Math AI HL worksheets free?
Yes. Every PDF downloads directly with no sign-up.
Do the AI HL worksheets have answers?
21 of the 44 sets include full worked solutions at the end of the PDF; the others are questions only and are marked "Questions only" in the tables above.
Are they up to date with the current syllabus?
Yes — they follow the IB Mathematics: Applications and Interpretation HL syllabus for first assessment 2021 onwards, topic by topic.
Can I use them for the other IB Math course?
Many topics overlap. Each worksheet page links to the same topic for the other courses, and the AA/AI hubs let you switch course.
Want these marked and explained?
Mr Ahmad uses these worksheets in one-to-one AI HL sessions across Dubai and online.
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