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IB Maths AI · questions by skill and topic
IB Maths AI question types
All 4,018 original, past-paper-style questions sorted by the skill each one practises, topic by topic: 105 question types in total. Pick a type to open the topic with only those questions shown, each with its full mark scheme.
Ready to combine skills? Concept clusters: 40 original multi-part questions, each built on one setup that needs several subchapters at once.
The skills
Exam tip: a topic can feel secure while one skill in it is weak. If you can do the calculations but lose marks on explanations or graphs, practise that question type on its own.
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- 1 Number and algebra (IB Maths AI SL)
- 2 Functions (IB Maths AI SL)
- 3 Geometry and trigonometry (IB Maths AI SL)
- 4 Statistics and probability (IB Maths AI SL)
- 5 Calculus (IB Maths AI SL)
- 1 Number and algebra (IB Maths AI HL)
- 2 Functions (IB Maths AI HL)
- 3 Geometry and trigonometry (IB Maths AI HL)
- 4 Statistics and probability (IB Maths AI HL)
- 5 Calculus (IB Maths AI HL)
IB Maths AI SL
2,009 questions. By skill: Understanding concepts and notation 3, Applying standard methods 994, Manipulating and solving algebraically 13, Working with graphs and diagrams 9, Solving multi-step problems 447, Modelling real-world contexts 530, Proving and showing results 2, Interpreting and justifying 11.
Number and algebra
536 questions · 13 question types · all questions
Applying standard methods · 342 questions
Manipulating and solving algebraically · 12 questions
Solving multi-step problems · 134 questions
Modelling real-world contexts · 47 questions
Functions
415 questions · 9 question types · all questions
Applying standard methods · 5 questions
Manipulating and solving algebraically · 1 question
Working with graphs and diagrams · 9 questions
Modelling real-world contexts · 399 questions
- Choosing and evaluating models: modelling in context (111)
- Quadratic and cubic models: modelling in context (99)
- Exponential and sinusoidal models: modelling in context (96)
- Linear models and piecewise models: modelling in context (89)
- Transformations of graphs and logarithmic scales: modelling in context (4)
Geometry and trigonometry
327 questions · 7 question types · all questions
Applying standard methods · 138 questions
Solving multi-step problems · 188 questions
Statistics and probability
347 questions · 11 question types · all questions
Understanding concepts and notation · 3 questions
Applying standard methods · 278 questions
- Normal distribution and chi-squared tests: standard methods (75)
- Probability and the binomial distribution: standard methods (74)
- Sampling and descriptive statistics: standard methods (67)
- Correlation and regression: standard methods (39)
- T-tests, confidence intervals and Markov chains: standard methods (23)
Solving multi-step problems · 55 questions
Calculus
384 questions · 9 question types · all questions
Applying standard methods · 231 questions
Solving multi-step problems · 69 questions
Modelling real-world contexts · 83 questions
IB Maths AI HL
2,009 questions. By skill: Applying standard methods 886, Manipulating and solving algebraically 7, Working with graphs and diagrams 42, Solving multi-step problems 571, Modelling real-world contexts 479, Proving and showing results 21, Interpreting and justifying 3.
Number and algebra
510 questions · 11 question types · all questions
Applying standard methods · 259 questions
Manipulating and solving algebraically · 7 questions
Solving multi-step problems · 106 questions
Modelling real-world contexts · 137 questions
Functions
323 questions · 11 question types · all questions
Applying standard methods · 30 questions
Working with graphs and diagrams · 42 questions
Solving multi-step problems · 10 questions
Modelling real-world contexts · 241 questions
- Transformations of graphs and logarithmic scales: modelling in context (72)
- Exponential and sinusoidal models: modelling in context (61)
- Choosing and evaluating models: modelling in context (55)
- Linear models and piecewise models: modelling in context (29)
- Quadratic and cubic models: modelling in context (24)
Geometry and trigonometry
416 questions · 7 question types · all questions
Applying standard methods · 192 questions
Solving multi-step problems · 223 questions
Statistics and probability
272 questions · 9 question types · all questions
Applying standard methods · 158 questions
Solving multi-step problems · 81 questions
Calculus
488 questions · 18 question types · all questions
Applying standard methods · 247 questions
Solving multi-step problems · 151 questions
- Differential equations and slope fields: multi-step problems (46)
- Integration and the trapezoidal rule: multi-step problems (44)
- Euler's method and coupled systems: multi-step problems (34)
- Gradients, tangents and rates of change: multi-step problems (19)
- Optimisation in context: multi-step problems (8)