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IB Mathematics Practice Test Online
IB Mathematics practice test covering all five topic areas — Number & Algebra, Functions, Geometry & Trigonometry, Statistics & Probability, and Calculus — for both Analysis & Approaches (AA) and Applications & Interpretation (AI) at SL and HL.
About this IB Math practice test
IB Mathematics is one of the most rigorous pre-university qualifications worldwide, studied in over 150 countries. AA HL is widely considered one of the hardest IB subjects. This generator creates IB-style questions with mark-scheme level solutions across all five topics, helping students prepare for Paper 1 (no-GDC) and Paper 2 (GDC allowed).
IB Mathematics Practice Test sample questions
These starter questions help you launch a math mock test quickly. Swap them with your own worksheet, notebook, or textbook questions any time.
1. Find the sum of the arithmetic sequence: 3, 7, 11, ... up to 15 terms. 2. Solve: log₂(x + 3) = 4 3. Differentiate f(x) = x³e^x using the product rule. 4. Find ∫(3x² - 2x + 1) dx. 5. A geometric sequence has first term 4 and common ratio 0.5. Find the sum to infinity. 6. Solve the equation 2sin(x) + 1 = 0 for 0 ≤ x ≤ 2π. 7. X ~ B(12, 0.4). Find P(X = 5). 8. Find the equation of the tangent to y = x² - 4x + 3 at x = 3. 9. A vector has components (3, -4). Find its magnitude and unit vector. 10. Expand (2x - 1)⁴ using the binomial theorem, giving the first three terms. 11. The probability that it rains is 0.3. If it rains, P(late) = 0.7; if no rain, P(late) = 0.2. Find P(late). 12. Find the inverse function of f(x) = 3x - 5. 13. The area between y = x² and y = x is bounded by x = 0 and x = 1. Find the exact area. 14. Solve: e^(2x) - 5e^x + 6 = 0 15. Using the cosine rule, find angle A in a triangle with sides a = 7, b = 5, c = 8.
Related search topics
This page is built for students looking for ib mathematics practice test, chapter practice, and quick school exam revision.
Why this practice page is useful
IB mark schemes award method marks separately from the final answer — seeing worked solutions trains you to write formulas and intermediate steps clearly.
GDC use is allowed in Paper 2 but not Paper 1 — the generator helps you practise both modes by covering algebraic and numerical approaches.
The five IB topic areas are tested in proportion to how they appear on real papers, so every revision session covers the full syllabus breadth.
IB Math units covered
Typical IB syllabus units this practice test draws from. Paste questions from any unit below to generate a focused mock test.
- Number & Algebra: sequences (arithmetic, geometric), binomial theorem, logarithms
- Number & Algebra: complex numbers (AA HL), proof by induction (AA HL)
- Functions: domain/range, inverse, composite, transformations
- Functions: exponential, logarithmic, rational, modelling
- Geometry & Trigonometry: sine/cosine rule, unit circle, identities
- Geometry & Trigonometry: vectors, 3D geometry, Voronoi diagrams (AI)
- Statistics & Probability: binomial and normal distributions, hypothesis testing
- Statistics & Probability: regression, correlation, chi-squared test (HL)
- Calculus: differentiation (product, chain, quotient), integration, differential equations (HL)
How to use this ib mathematics practice test page
1. Open the ready-made starter and generate the test.
2. Review the output as a quick IB math mock test.
3. Replace the starter with your own previous-year exam questions for more accurate revision.
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