IB Math AA HL Worksheets — 43 free topic worksheets with answers
Every AA HL syllabus topic has its own 120-mark worksheet, graded from routine practice to the multi-step questions that decide a 7. 26 of the 43 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: Analysis and Approaches HL, first assessment 2021 onwards.
Topic 1: Number & Algebra — 10 worksheets
| Worksheet | Pages | Solutions | Download |
|---|---|---|---|
| Binomial Theorem | 24 | Questions only | |
| Complex Numbers | 22 | Included | |
| Exponentials and Logs | 22 | Included | |
| Further Complex Numbers | 25 | Questions only | |
| Partial Fractions, Indices and Standard Form | 24 | Included | |
| Permutations and Combinations | 22 | Included | |
| Proof by Induction and Contradiction | 25 | Questions only | |
| Sequences and Series | 24 | Questions only | |
| Simple Proof and Reasoning | 21 | Questions only | |
| Systems of Linear Equations | 24 | Included |
Topic 2: Functions — 9 worksheets
| Worksheet | Pages | Solutions | Download |
|---|---|---|---|
| Functions Toolkit | 28 | Included | |
| Inequalities | 25 | Included | |
| Linear Functions and Graphs | 26 | Questions only | |
| Modulus Functions and Further Transformations | 27 | Included | |
| Other Functions and Graphs | 26 | Included | |
| Polynomial Functions | 24 | Questions only | |
| Quadratic Functions and Graphs | 24 | Included | |
| Reciprocal and Rational Functions | 27 | Questions only | |
| Transformations of Graphs | 26 | Included |
Topic 3: Geometry & Trigonometry — 11 worksheets
| Worksheet | Pages | Solutions | Download |
|---|---|---|---|
| Geometry Toolkit | 25 | Included | |
| Geometry of 3D Shapes | 23 | Included | |
| Inverse and Reciprocal Trigonometric Functions | 24 | Included | |
| The Unit Circle and Exact Values | 27 | Included | |
| Trigonometric Equations and Identities | 22 | Included | |
| Trigonometric Functions and Graphs | 26 | Included | |
| Trigonometric Proof and Equation Strategies | 27 | Included | |
| Trigonometry | 23 | Included | |
| Vector Equations of Lines | 29 | Included | |
| Vector Planes | 26 | Questions only | |
| Vector Properties | 27 | Included |
Topic 4: Statistics & Probability — 7 worksheets
| Worksheet | Pages | Solutions | Download |
|---|---|---|---|
| Binomial Distribution | 23 | Included | |
| Continuous Random Variables | 27 | Questions only | |
| Correlation and Regression | 28 | Questions only | |
| Discrete Random Variables | 24 | Questions only | |
| Normal Distribution | 22 | Questions only | |
| Probability | 25 | Included | |
| Statistics Toolkit | 26 | Questions only |
Topic 5: Calculus — 6 worksheets
| Worksheet | Pages | Solutions | Download |
|---|---|---|---|
| Applications of Differentiation | 26 | Included | |
| Applications of Integration | 26 | Included | |
| Differential Equations | 26 | Included | |
| Differentiation Toolkit | 27 | Questions only | |
| Integration Toolkit | 25 | Questions only | |
| Limits and Convergence | 29 | Questions only |
How to get the most from the AA 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 AA 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 AA HL question bank for the same topic, then a past paper.
AA HL worksheets — common questions
Are these IB Math AA HL worksheets free?
Yes. Every PDF downloads directly with no sign-up.
Do the AA HL worksheets have answers?
26 of the 43 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: Analysis and Approaches 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 AA HL sessions across Dubai and online.
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