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 for the subject.
- Paper 1: No calculator
- Paper 2: GDC required
- Paper 3 (HL only): GDC required
AI: Applications & Interpretation
A GDC (Graphic Display Calculator) is allowed on all papers. CAS functionality is prohibited.
- All papers: GDC permitted
- 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 permitted.
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 calculator is permitted 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
Calculate percentages instantly. Find what percent of a number, percentage change, and percentage difference. Free and fast.
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, and divide fractions. Simplify fractions and convert to mixed numbers. Free online fraction calculator.
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.
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 × 1.2814... = €6407.08 (to nearest cent).
Answer: €6407.08
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 calculator is allowed 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 for the subject.
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. A November session is available for schools in the Southern Hemisphere.
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. Each paper has different time limits and mark allocations.