Some simple questions around injectivity, surjectivity, bijectivity (and the inverse function) of linear functions $\mathbb R\to \mathbb R$ (i.e., $x\mapsto mx+b$ for some real numbers $m$, $b$).

Compare two savings accounts with different interest rates.

rebelmaths

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Useful for students' revision. Assesses ability to apply the algorithms correctly. Question has randomised values.

Konotenschnur generieren lassen

Three lines given with different information provided. Equation of the line is asked for.

Questions around the notion of map, with underlying topic the statement of Goldbach's conjecture. The student has to write the conjecture (by filling in some gaps) as a surjectivity statement for a map, and compute some preimages of elements.

(In German)

More work on differentiation with trigonometric functions

Dechiffrierung von Maya-Zahlen

Some simple abstract questions on injectivity, surjectivity, bijectivity.

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

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

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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)

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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ARR

compound interest

Decreasing a number by a percentage

proportion as %

% of number