An induction problem concerning the Fibonacci sequence.

Prove (by induction) that every value $\ge$ 44ct can be combined by using 5ct and 12ct stamps.

Idea seen in collection of exercises for preparing for the Putnam contest.

Einige Berechnungen am spirituellen Maya-Kalender (Modulo-Rechnungen/Kongruenzen).

Einfache Wahrheitstabelle mit zwei Aussagen

Simple exercises introducing the fundamental set operations, and NUMBAS syntax for sets.

Introductory exercise about set equality

Introductory function notions

This assessment reviews some of the material covered in the first lecture session. 

This tests the student's ability to understand the components of formula.

Hello! This test an extra opportunity to complete some practice questions on the material we have covered so far. Your results will NOT count towards your final grade, and there is no time limit to complete the test. You can check your answers as you go along, and even try new examples of the same type. Full solutions are also available for most questions. If there are any questions you don't understand, take a photo and we can discuss it in class or at a one-to-one appointment. 

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Find the equation of a straight line which has a given gradient $m$ and passes through the given point $(a,b)$.

Original: https://numbas.mathcentre.ac.uk/question/11698/equation-of-a-straight-line/ by Newcastle University Mathematics and Statistics,

translated to German, added Parts b), c), d), e)

A question to practice simplifying fractions with the use of factorisation (for binomial and quadratic expressions).

Apply formulas to calculate the areas of various shapes.

Calculate the z-score and percentile of an observation. The question uses the random person extension.

Rationalise the denominator with increasingly difficult examples involving compound denominators. 

Translated to German, made some minor changes to Advice section.

Original: https://numbas.mathcentre.ac.uk/question/22555/rationalising-the-denominator-surds/ by Lauren Richards

Given a quantity per day, how many per week

This question shows how to load a GeoGebra applet from geogebra.org.

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Indices

rebelmaths

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ARR

compound interest

Decreasing a number by a percentage

proportion as %

% of number

original amount

compound interest

CI only