IBIBAA
IB DP · Mathematics: Analysis & Approaches
Practice questions for IB Mathematics: Analysis and Approaches (SL and HL) — all five syllabus topic groups, from number and algebra to calculus, each with full worked solutions.
At a glance
2 yearsPaths: Standard Level · Higher Level4 hours/week
Courses
DP Year 1
12 courses- Limits & ContinuityPublished
- DerivativesPublished
- Functions — FoundationsPublished
- Linear & Quadratic FunctionsPublished
- Sequences — Arithmetic & GeometricPublished
- Powers, Radicals & LogarithmsPublished
- Trigonometry I — Unit Circle & IdentitiesPublished
- Combinatorics & Binomial TheoremPublished
- ProbabilityPublished
- Financial MathematicsPublished
- Trigonometry II — Inverse Functions & EquationsPublished
- Solid MensurationPublished
Topic coverage
Practice problems across 38 chapters, spanning Beginner, Medium, and Advanced difficulty bands.
Grouped by the five IB topic groups, with Additional HL content marked HL.
Number and algebra
The binomial theorem
Medium
Permutations and combinations
HLAdvanced
Exponents and logarithms
Medium
Methods of proof
Medium
Complex numbers
HLAdvanced
Systems of linear equations
HLAdvanced
Proof by mathematical induction
HLAdvanced
Functions
Geometry and trigonometry
Volume and surface area of three-dimensional solids
Medium
Trigonometric identities
Medium
Vectors
HLAdvanced
Trigonometric equations
Medium
Statistics and probability
Correlation and linear regression
Medium
Descriptive statistics
Medium
Probability
Medium
Continuous random variables
HLAdvanced
The normal distribution
Medium
Linear combinations of random variables
HLAdvanced
Calculus
Differentiation
Advanced
Integration
Advanced
Continuity, differentiability and limits
HLAdvanced
Definite integrals and areas
Advanced
First-order differential equations
HLAdvanced
Euler's method and numerical approximation
HLAdvanced
Volumes of revolution
HLAdvanced
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