rebelmaths

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.

Shows how to use the "random person" extension to pick random names using the built-in French data set.

Shows how to use the "random person" extension to pick random names for people in your questions.

Given a table of data, calculate the mean, mode and median, and complete a frequency table.

The student is asked to write a matrix with a certain property, or tick a box labelled "this is impossible" if it can't be done.

A custom marking algorithm on the gap-fill part first checks if the student ticked the box. If they did, their answer is marked correct if it really is impossible. If they didn't tick it, their matrix is checked against the required property.

One question on determining whether statements are propositions.

Four questions about truth tables for various logical expressions.

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 $\mathbb Q^3\to \mathbb Q$.

Straightforward solving linear equations question.

Adapted from 'Simultaneous equations by elimination 1 with parts' by Joshua Boddy.

Shows how to define variables to stop degenerate examples.

Solve a system of linear equations using Gaussian elimination.

A graph is drawn. A student is to identify the derivative of this graph from four other graphs. There are four such questions.

Calculating limits using algebraic techniques

Evaluate a rational limit using algebra

Evaluate $\displaystyle \lim_{x\to k} \frac{x+a}{\sqrt{x+b} - c}$ using algebra

Evaluate a rational limit using algebra

Evaluate $\displaystyle \lim_{x\to 0} \frac{\sqrt{ax+b} - d}{cx}$ using algebra

Evaluate $\displaystyle \quad \lim_{x\to a} \frac{ex+d}{ax^2+bx+c} \quad $ algebraically.

Evaluate $\displaystyle \quad \lim_{x\to a} \frac{ax^2+bx+c}{ex+d} \quad $ algebraically.

Evaluate $\displaystyle \quad \lim_{x\to a} \frac{ax+b}{x^2+c} \quad $ algebraically.

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.