Students are shown a graph that simultaneously plots cost and revenue lines. They are asked to identify the break-even point.

They are asked to give the x- and y- coordinate values.

The graph is randomised, but it is set up so that the point of intersection lies on gridlines.

Sketch a function graph by using fist and second derivatives.

This demonstrates how to construct a JSXGraph diagram in JME code.

The construction shows a triangle and its orthocentre, circumcentre and centroid. They are always collinear. You can move the vertices of the triangle.

Slightly harder introductory exercises about the power set.

Given some random finite subsets of the natural numbers, perform set operations $\cap,\;\cup$ and complement.

Converting between metres (m) and centimetres (cm). 

Round random numbers to the closest whole number, 1 to 3 decimals places. Also rounding that could show common misunderstandings.

A simple situational question about a box of chocolates, asking how many of each type there are, what percentage of the box they represent, the probability of picking one and ratios of different types.

This question provides a list of data to the student. They are asked to find the mean, median, mode and range.

This quiz contains questions on algebraic fractions, logarithmic equations, exponential equations, quadratic equations and simultaneous equations.

This question is a simple example to show how to input value from numbas to geogebra applet, and get a value back from geogebra to numbas for marking.

Students are asked to draw a hyperbola from an equation by drawing a table of graphs and plotting them.

Students are asked to draw an exponential from an equation by drawing a table of graphs and plotting them.

Students are asked to draw a parabola from an equation by drawing a table of graphs and plotting them.

This is a very simple question with no randomisation.

Students are asked to identify an inverse relationship equation.

Students are given a formula and asked to evaluate it for a given input value, which is randomised.

A few questions which use the GeoGebra extension.

This question shows how to use the GeoGebra extension to start with a blank worksheet, and add objects to it.

This question demonstrates how to link a GeoGebra object to the answer to a part.

This question demonstrates how to display a GeoGebra worksheet loaded from a file attached to the question.

Can you identify a parabola? Students are shown a parabola and asked to identify it as such.

Students are given the equation of a parabola and asked to identify its graph. They are given the parabolic curve, an exponential, a hyperbola and a line to choose from.

Questions used in a university course titled "Group theory".

The questions deal with permutations written in cycle or two-line notation.

Given a parcel's width, height and length, calculate its volume and surface area. Additionally, classify its size based on a formula inspired by a real delivery company (as mad as it sounds!).

The student must give units with each measurement.

Substitute values into formulae for the area or volume of various geometric objects.

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Given a sum of logs, all numbers are integers,

$\log_b(a_1)+\alpha\log_b(a_2)+\beta\log_b(a_3)$ write as $\log_b(a)$ for some fraction $a$.

Also calculate to 3 decimal places $\log_b(a)$.