International
IB Maths Calculator
Free online calculators for IB Mathematics. Covers both AA (Analysis & Approaches) and AI (Applications & Interpretation) at Standard and Higher Level.
AA: Analysis & Approaches
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.
- Paper 1: No calculator
- Paper 2: GDC required
- Paper 3 (HL only): GDC required
AI: Applications & Interpretation
A GDC (Graphic Display Calculator) is required on all papers. CAS functionality is prohibited.
- All papers: GDC required
- CAS functionality is prohibited
- Check approved models with your coordinator
AA Calculators
Analysis & Approaches focuses on calculus, algebra, and trigonometry. These calculators cover key Paper 2 and Paper 3 topics where your GDC is required.
Derivative Calculator
Calculate derivatives of any function step by step. Supports higher-order derivatives, partial derivatives, and common functions. Free online tool.
Integral Calculator
Calculate indefinite integrals (antiderivatives) of functions. Symbolic integration with step-by-step display. Free online integral calculator.
Definite Integral Calculator
Calculate definite integrals with upper and lower bounds. Numerical integration using Simpson's rule. Free online definite integral calculator.
Series Calculator
Evaluate mathematical series and calculate partial sums. Arithmetic, geometric, and custom series. Free online series calculator.
Taylor Series Calculator
Calculate Taylor and Maclaurin series expansions. Find polynomial approximations of functions. Free online Taylor series calculator.
Quadratic Formula Calculator
Solve quadratic equations using the quadratic formula. Find roots, discriminant, and vertex. Free online quadratic formula calculator.
Probability Calculator
Calculate probability of events, complements, unions, and intersections. Free online probability calculator for statistics.
Triangle Calculator
Calculate triangle sides, angles, area, and perimeter. Supports SSS, SAS, ASA, AAS configurations. Free online triangle calculator.
AI Calculators
Applications & Interpretation focuses on statistics, modelling, and real-world problems. A GDC is required on all AI papers.
Standard Deviation Calculator
Calculate standard deviation, variance, mean, and more for any dataset. Supports population and sample statistics. Free online tool.
Probability Calculator
Calculate probability of events, complements, unions, and intersections. Free online probability calculator for statistics.
Correlation Calculator
Calculate Pearson correlation coefficient, R-squared, and regression line. Free online correlation calculator with scatter plot.
Percentage Calculator
Find X% of a number, what percent one number is of another, percentage change and difference, or work back to the original. Every step shown.
Compound Interest Calculator
Calculate compound interest with contributions. Compare compounding frequencies, find time to target, and see year-by-year growth tables.
Fraction Calculator
Add, subtract, multiply, divide or simplify fractions and see every step. Answers in lowest terms, with the mixed number, decimal and percentage.
Slope Calculator
Calculate slope from two points, find slope-intercept and point-slope form. Free online slope calculator with graphing.
Normal Distribution Calculator
Calculate probabilities for normal distributions. Find areas under the bell curve, percentiles, and inverse values. Free online tool.
Z-Score Calculator
Calculate z-scores, find values from z-scores, and determine probabilities. Free online z-score calculator with bell curve visualisation.
Two examples, drawn
Worked Examples
Practice with these IB-style questions covering both AA and AI courses. Each example shows the full working and links to the relevant calculator.
1Derivative (AA SL)
standard level
Derivative (AA SL)
standard levelProblem:
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
2Normal Distribution (AI SL)
standard level
Normal Distribution (AI SL)
standard levelProblem:
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%
3Definite Integral (AA HL)
higher level
Definite Integral (AA HL)
higher levelProblem:
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
4Compound Interest (AI SL)
standard level
Compound Interest (AI SL)
standard levelProblem:
€5000 is invested at 4.2% per annum compounded annually. Find the value after 6 years.
Solution:
FV = 5000 × (1.042)⁶ = 5000 × 1.27999... = €6399.95 (to nearest cent).
Answer: €6399.95
5Geometric Series (AA HL)
higher level
Geometric Series (AA HL)
higher levelProblem:
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
Frequently Asked Questions
Common questions about IB Maths exams and calculator use.
Can I use a calculator in IB Maths?
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 GDC is required on all papers.
What happens if I use a calculator on an AA Paper 1?
Using a calculator on Paper 1 is considered malpractice by the IB. The consequence is no grade being awarded.
What type of calculator is allowed?
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.
What is the difference between AA and AI?
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.
When are IB Maths exams?
The main exam session is in May. Some schools sit their exams in a November session instead.
How many papers are there?
AA SL has 2 papers, AA HL has 3 papers. AI SL has 2 papers, AI HL has 3 papers.