Demonstration of the written number extension, which converts whole numbers to words.

Questions which try to emphasise that f(x) does not mean f times x.

This question loads an extension which contains a dataset in JSON format. The data is made available as a JME variable called 'animal_data'.

A really simple question which asks the student to multiply two matrices.

Some questions which demonstrate the adaptive marking feature.

This question contains a "choose several answers" part which has an "all-or-nothing" mark scheme: the student is only awarded marks if they tick all of the correct choices, and no incorrect choices.

Four sinusoidal graphs are given. Student should select the one which is sine and cosine.

A really simple question which asks the student to multiply two matrices.

SPSS fat absorption question. Student downloads one of several SPSS files and carries out some analysis in SPSS, before returning to enter the answers. The analysis is a one-way analysis of variance. If there is a difference in the levels of the factor then a post hoc test (Tukey's honestly significant difference) is used to determine which pairs of variables are significantly different. 

Practice to decide which quadrant a complex number lies in.

Practice to decide which quadrant a complex number lies in.

Graphs are given with areas underneath them shaded. The student is asked to select the correct integral which calculates its area.

Some questions which demonstrate the adaptive marking feature.

A function which renders the factorisation of a number in LaTeX.

One method of randomly choosing names for variables. For each variable, we have 4 options. Create a list of 4 numbers, which is 1 for the name we want to use, and 0 otherwise.

Then, whenever we use that variable, multiply each of the possible names by the corresponding number in the list. When the expression is simplified, the unwanted names will cancel to 0, leaving only the name we want.

This is quite clunky!

(This question also uses a custom marking script to check that the student has simplified the expression)

The student has to compute $a^b$ and $b^a$, then decide which of the two is bigger.

This question shows how to set up a custom marking matrix for the "choose one from a list" part, based on values used elsewhere in the question. It could use adaptive marking to use the student's incorrect values for the comparison, but doesn't at the moment.

Several graphs are drawn. Student should select those that are cubics

Correct an error in a received message which was encoded using Hamming's square code

Find angle between plane $\Pi_1$, given by three points, and the plane $\Pi_2$ given in Cartesian form.

The calculation of $cos(\alpha)$ at the end of Advice has fractionNumbers switched on and so the result is presented as a fraction, which can be misleading. Best if calculation is followed through without using fractionNumbers.

Given a set of vectors, find a basis which generates their span as a subspace of $\mathbb{Z}_n$.

Double integrals (2) with numerical limits

Find all points for which the gradient of a scalar field is orthogonal to the $z$-axis.

Should warn that multiplied terms need * to denote multiplication.

A multiple linear regression model of the form:

\[Y=\beta_0+\beta_1X_1+ \beta_2X_2+\beta_3X_3+\beta_4X_4+\epsilon \]

is fitted to some data in Minitab which generates a table showing estimates of the parameters with associated $p$-values. Determine which variable to exclude first.

Simple probability question. Counting number of occurences of an event in a sample space with given size and finding the probability of the event.