Maths for the Matura.
Without tutoring.
Pi Mal Daumen is the free maths learning platform for the Austrian Matura and Berufsreifeprüfung: more than 4,500 tasks with worked solutions, 18 learning paths and a realistic exam mode.
Find the derivative of f(x) = 3x² − 5x + 2.
Everything you need to practise
No pile of flashcards, no textbook, no subscription. One app that builds the material in an order that makes sense.
Tasks with worked solutions
More than 4,500 tasks organised by topic—each with a clear solution path, not just the answer.
18 learning paths
Every topic step by step: explanation, example and practice—from the basics to Matura tasks.
Exam mode
Real exam length and a real time limit, so the clock is no surprise on exam day.
Flashcards
Review formulas and terms whenever you have five minutes—on the tram or during a break.
Study groups & ranking
Learn with friends, share tasks and see who keeps going this week.
Dedicated BRP course
For the Berufsreifeprüfung: starts with calculation rules and leaves no gaps.
Original maths explanations for the Austrian Matura
Nine detailed Pi Mal Daumen learning pages guide you from the foundations to important advanced topics for the AHS central Matura, Applied Mathematics at BHS schools and the Berufsreifeprüfung (BRP).
Aligned with Austrian exams: The AHS curriculum groups the material into algebra and geometry, functional relationships, calculus, and probability and statistics. BHS and BRP exams add school-specific advanced topics. Each page therefore explains which exam pathway a topic is relevant to.
Algebra and foundations
Number sets, expressions, equations, systems of equations, sequences and logarithms.
Open explanation → Model relationshipsFunctions and models
Linear, quadratic, polynomial, power and exponential functions, including growth models.
Open explanation → Understand changeDifferential calculus
Rates of change, differentiation rules, curve analysis, motion and inverse problems.
Open explanation → Accumulate and reconstructIntegral calculus
Antiderivatives, areas, changes in quantities and school-specific applications.
Open explanation → Calculate shapesGeometry and trigonometry
Pythagoras, angles, triangles, radians and trigonometric functions.
Open explanation → Direction and positionVectors
Calculations in ℝ² and ℝ³, parametric forms and geometric relationships.
Open explanation → Data and chanceProbability and statistics
Summary measures, box plots, regression, tree diagrams and conditional probability.
Open explanation → Model randomnessProbability distributions
Random variables, binomial and normal distributions, quantiles and variation intervals.
Open explanation → BHS focus areasBusiness mathematics
Finance, investment, costs and revenue, optimisation and production models.
Open explanation →View all topics in detail Maths Matura: tasks & solutions Compensatory exams Maths task pool Search the formula booklet
Apprenticeship instead of school? No problem.
The Berufsreifeprüfung rarely fails because of ability; often the basics are simply ten years old. That is why the BRP course starts at the beginning and skips nothing.
View the BRP overview- Calculation rules & signs
- Fractions
- Percentages & per mille
- Convert units
- Expressions & equations
- Functions & geometry
Continue learning on your phone
Your progress is linked to your account, not your device. Start in the browser and continue on the tram.
Language of the official exam materials
The Matura papers, compensatory exams, task pool and official solutions are Austrian source documents. They remain in German so that wording, formulas and references stay identical to the originals.
Open the German exam archiveFrequently asked questions
The essentials about costs, exam materials, search and privacy.
Is Pi Mal Daumen really free?
Yes. The publicly available exam materials, search and Pi Mal Daumen are free to use. There is no subscription and no advertising.
Do I need an account?
You do not need an account to search or open exam materials. You only need one to save progress or use group features in the app.
Which exam types are included?
Tasks for the Austrian AHS and BHS central Matura, the Berufsreifeprüfung and compensatory exams are included. The maths task pool with official expected solutions is also fully searchable.
What does the maths task pool contain?
The task pool contains tasks and their official expected solutions. Search for terms or phrases and jump directly to the matching PDF page.
Are these official Matura materials?
The linked exam materials come from matura.gv.at. Pi Mal Daumen adds searchable text and direct result locations. The linked original PDF always remains authoritative.
How do I find a task using a text excerpt?
Enter a term or connected phrase above, or choose a screenshot with the plus button. The page reads its text locally and compares it with all indexed tasks.
Is my selected screenshot stored?
No. The screenshot is processed locally in your browser and is neither uploaded nor stored. You can edit the recognised text before another search.