Practise one mathematical skill at a time with 30 new tests: statistics and data in English, algebra in German, and geometry in Spanish. Each test contains 20 questions with worked explanations.
Choose the skill you want to practise
Each attempt includes all 20 questions in a shuffled order. Select one exact numerical answer per question. The practice target is 16 correct answers. These are focused exercises, not complete school or qualification examinations.
Statistics and data — English
Work with conditional probabilities, draws without replacement, binomial models, expectation and population variance. Practise standard scores, interpolation, moving averages, histogram density and unordered selections.
- Statistics Practice: Conditional Probabilities from Counts — 20 questions
- Statistics Practice: Two Draws Without Replacement — 20 questions
- Statistics Practice: Small Binomial Models — 20 questions
- Statistics Practice: Discrete Expected Values — 20 questions
- Statistics Practice: Population Variance and Transformations — 20 questions
- Statistics Practice: Standard Scores and Back-Calculations — 20 questions
- Data Practice: Linear Interpolation Between Known Points — 20 questions
- Data Practice: Moving-Average Windows — 20 questions
- Data Practice: Histogram Widths and Frequency Density — 20 questions
- Counting Practice: Unordered Selections and Restrictions — 20 questions
Algebra — Deutsch
Übe binomische Formeln, quadratische Nullstellen, lineare Gleichungssysteme, Ungleichungen und Betragsgleichungen. Weitere Aufgaben behandeln geometrische Folgen, Polynomwerte, Logarithmen, Bruchgleichungen und antiproportionale Modelle.
- Algebra: Koeffizienten binomischer Formeln — 20 questions
- Algebra: Quadratische Gleichungen in Linearfaktoren — 20 questions
- Algebra: Lineare Gleichungssysteme mit zwei Variablen — 20 questions
- Algebra: Ganzzahlige Lösungen von Ungleichungen — 20 questions
- Algebra: Betragsgleichungen und Abstände — 20 questions
- Algebra: Geometrische Folgen und kurze Summen — 20 questions
- Algebra: Polynomwerte und Restsatz — 20 questions
- Algebra: Exakte Logarithmen und Potenzgleichungen — 20 questions
- Algebra: Einfache Bruchgleichungen mit Nennerbedingungen — 20 questions
- Algebra: Antiproportionale Modelle mit konstantem Produkt — 20 questions
Geometría — Español
Practica ángulos, polígonos, trapecios, paralelogramos y el teorema de Pitágoras. Calcula superficies y volúmenes de cilindros, conos y esferas, y trabaja con sectores circulares y puntos medios.
- Geometría: ángulos interiores y exteriores de triángulos — 20 questions
- Geometría: polígonos, ángulos y diagonales — 20 questions
- Geometría: trapecios, área y segmento medio — 20 questions
- Geometría: áreas de paralelogramos y rombos — 20 questions
- Geometría: teorema de Pitágoras y longitudes exactas — 20 questions
- Geometría: cilindros, volumen y superficie con π dado — 20 questions
- Geometría: conos, volumen y superficie con π dado — 20 questions
- Geometría: esferas y semiesferas con π dado — 20 questions
- Geometría: sectores circulares y arcos con π dado — 20 questions
- Geometría analítica: distancias y puntos medios — 20 questions
How to use the exercises
Use the units stated in each question. Fractions represent exact values; do not round unless asked. Circle and solid-geometry exercises explicitly specify π = 3 where needed. For population variance, divide by the population size rather than using a sample correction. Read the explanation after answering, then retry the skill you found difficult.
The language shown on each test describes its content. You can use either interface language while practising any of these materials.