International
Free online calculators for IB Mathematics. Covers both AA (Analysis & Approaches) and AI (Applications & Interpretation) at Standard and Higher Level.
Paper 1 is non-calculator. Paper 2 (and HL Paper 3) require a GDC (Graphic Display Calculator). CAS functionality is prohibited.
Malpractice Warning
Using a calculator on AA Paper 1 is malpractice. The consequence is no grade awarded for the subject.
A GDC (Graphic Display Calculator) is allowed on all papers. CAS functionality is prohibited.
Analysis & Approaches focuses on calculus, algebra, and trigonometry. These calculators cover key Paper 2 and Paper 3 topics where your GDC is permitted.
Calculate derivatives of any function step by step. Supports higher-order derivatives, partial derivatives, and common functions. Free online tool.
Calculate indefinite integrals (antiderivatives) of functions. Symbolic integration with step-by-step display. Free online integral calculator.
Calculate definite integrals with upper and lower bounds. Numerical integration using Simpson's rule. Free online definite integral calculator.
Evaluate mathematical series and calculate partial sums. Arithmetic, geometric, and custom series. Free online series calculator.
Calculate Taylor and Maclaurin series expansions. Find polynomial approximations of functions. Free online Taylor series calculator.
Solve quadratic equations using the quadratic formula. Find roots, discriminant, and vertex. Free online quadratic formula calculator.
Calculate probability of events, complements, unions, and intersections. Free online probability calculator for statistics.
Calculate triangle sides, angles, area, and perimeter. Supports SSS, SAS, ASA, AAS configurations. Free online triangle calculator.
Applications & Interpretation focuses on statistics, modelling, and real-world problems. A calculator is permitted on all AI papers.
Calculate standard deviation, variance, mean, and more for any dataset. Supports population and sample statistics. Free online tool.
Calculate probability of events, complements, unions, and intersections. Free online probability calculator for statistics.
Calculate Pearson correlation coefficient, R-squared, and regression line. Free online correlation calculator with scatter plot.
Calculate percentages instantly. Find what percent of a number, percentage change, and percentage difference. Free, fast, no signup.
Calculate compound interest with contributions. Compare compounding frequencies, find time to target, and see year-by-year growth tables.
Add, subtract, multiply, and divide fractions. Simplify fractions and convert to mixed numbers. Free online fraction calculator.
Calculate slope from two points, find slope-intercept and point-slope form. Free online slope calculator with graphing.
Calculate probabilities for normal distributions. Find areas under the bell curve, percentiles, and inverse values. Free online tool.
Practice with these IB-style questions covering both AA and AI courses. Each example shows the full working and links to the relevant calculator.
Problem:
Find f'(x) where f(x) = 3x⁴ − 2x² + 5x − 1
Solution:
Apply the power rule to each term: d/dx(3x⁴) = 12x³, d/dx(−2x²) = −4x, d/dx(5x) = 5, d/dx(−1) = 0. Therefore f'(x) = 12x³ − 4x + 5.
Answer: f'(x) = 12x³ − 4x + 5
Problem:
Heights are normally distributed with mean 170 cm and standard deviation 8 cm. Find the probability that a randomly selected person is taller than 178 cm.
Solution:
Standardise: z = (178 − 170) / 8 = 1. Using the standard normal table, P(Z > 1) = 1 − 0.8413 = 0.1587.
Answer: ≈ 15.87%
Problem:
Find the area under y = x² + 1 between x = 0 and x = 3.
Solution:
∫₀³ (x² + 1) dx = [x³/3 + x]₀³ = (27/3 + 3) − (0 + 0) = 9 + 3 = 12.
Answer: 12 square units
Problem:
€5000 is invested at 4.2% per annum compounded annually. Find the value after 6 years.
Solution:
FV = 5000 × (1.042)⁶ = 5000 × 1.2814... = €6407.08 (to nearest cent).
Answer: €6407.08
Problem:
Find the sum to infinity of the geometric series 8 + 4 + 2 + 1 + ...
Solution:
Common ratio r = 4/8 = 0.5. Since |r| < 1, the series converges. S∞ = a / (1 − r) = 8 / (1 − 0.5) = 8 / 0.5 = 16.
Answer: S∞ = 16
Common questions about IB Maths exams and calculator use.
It depends on the course and paper. For AA (Analysis & Approaches), Paper 1 is non-calculator and Paper 2 requires a GDC. For AI (Applications & Interpretation), a calculator is allowed on all papers.
Using a calculator on Paper 1 is considered malpractice by the IB. The consequence is no grade being awarded for the subject.
A GDC (Graphic Display Calculator) is required. However, CAS (Computer Algebra System) functionality must be disabled or not present. Check with your school for approved models.
AA (Analysis & Approaches) focuses on pure mathematics: calculus, algebra, proof, and trigonometry. AI (Applications & Interpretation) focuses on applied mathematics: statistics, modelling, and real-world applications.
The main exam session is in May. A November session is available for schools in the Southern Hemisphere.
AA SL has 2 papers, AA HL has 3 papers. AI SL has 2 papers, AI HL has 3 papers. Each paper has different time limits and mark allocations.