Ulrich Görtz

Identify well-known fractional equivalents of decimals. Convert obscure decimals and recurring decimals into fractions.

https://numbas.mathcentre.ac.uk/question/22784/decimals-to-fractions/ by Lauren Richards

Translated to German.

Decide whether statements about square and cube numbers are always true, sometimes true or never true.

German translation of https://numbas.mathcentre.ac.uk/question/22768/always-sometimes-or-never-square-and-cube-numbers/ von Stanislav Duris.

Schreibe $\displaystyle \frac{a} {b + \frac{c}{d}}$ als einen gekürzten Bruch $\displaystyle \frac{p}{q}$ mit ganzen Zahlen $p$ und $q$.

Angepasste, übersetzte und erweiterte Version von https://numbas.mathcentre.ac.uk/question/11701/simplifying-fractions/ von Newcastle University Mathematics and Statistics.

Details on inputting numbers into Numbas. (German translation)

Dealing with functions in Numbas. (Translation to German.)

Inputting ratios of algebraic expressions. (Translation to German)

Information on inputting powers

Entering numbers and algebraic symbols  in Numbas. (German translation)

No description given

No description given

No description given

The euclidean algorithm in the polynomial ring $\mathbb Q[x]$.

Asks the student whether a map between two finite sets, given schematically "by arrows" is injective/surjective/bijective.

Two sample t-test to see if there is a difference between scores on questions between two groups when the questions are asked in a different order.

Find a matrix whose associated linear map maps the unit square to the shown parallelogram. Match figures "of linear maps" with matrices.

Compute how many linear maps $\mathbb F_p^n\to \mathbb F_p^m$ exist which take prescribed values on a given set of elements in $\mathbb F_p^n$ (which is linearly dependent).

Find a basis for the intersection of two kernels of linear maps $\mathbb Q^3\to \mathbb Q^3$ and $\mathbb Q^3\to \mathbb Q$.

Questions around quadratic equations over finite fields of the form $\mathbb F_p$, $p$ a prime number.

Direct calculation of low positive and negative powers of complex numbers. Calculations involving a complex conjugate. Powers of $i$. Four parts.

Original: https://numbas.mathcentre.ac.uk/question/11788/arithmetics-of-complex-numbers-v/ by Newcastle University Mathematics and Statistics

Tramslated to German

Elementary examples of multiplication and addition of complex numbers. Four parts.

Original: https://numbas.mathcentre.ac.uk/question/11784/arithmetics-of-complex-numbers-i/ by Newcastle University Mathematics ans Statistics

Translated to German.

Composite multiplication and division of complex numbers. Two parts.

Original: https://numbas.mathcentre.ac.uk/question/11787/arithmetics-of-complex-numbers-iv/ by Newcastle University Mathematics and Statistics

Translated to German

Inverse and division of complex numbers.  Four parts.

Original: https://numbas.mathcentre.ac.uk/question/11786/arithmetics-of-complex-numbers-iii/ by Newcastle University Mathematics and Statistics

Translated to German.

Multiplication and addition of complex numbers. Four parts.

Original: https://numbas.mathcentre.ac.uk/question/11785/arithmetics-of-complex-numbers-ii/ by Newcastle University Mathematics and Statistics

Translated to German.

Guided induction proof of a divisibility statement (with moderate randomization).

Some simple multiple choice questions on the field of complex numbers.

No description given

A group (chosen randomly, the groups with 6 and those 8 elements are available) is given by its multiplication table. The task is to check whether the group is commutative, to identify all elements of order $\le 2$, and to find a subgroup which has half as many elements as the given group.

(In German.)

Marks two gaps correrct, if the numbers meet a specific condition (here: product is a given number).

Inputting algebraic expressions into Numbas. (Translation to German)

Manipulate fractions in order to add and subtract them. The difficulty escalates through the inclusion of a whole integer and a decimal, which both need to be converted into a fraction before the addition/subtraction can take place.

https://numbas.mathcentre.ac.uk/question/22664/addition-and-subtraction-of-fractions/ by Lauren Richards

Translated to German and Part d) added.