Demos

This question demonstrates how to use GeoGebra applets in explore mode.

The student must construct a polygon by adding points one at a time. At any point, they can answer the question, "Is the centroid inside the polygon?"

GeoGebra's IsInRegion command is used to decide if the centroid is inside the polygon.

The student is asked to integrate a given function. The marking algorithm differentiates the student's answer, and checks that it is equivalent to the original function.

This question demonstrates how to construct a JSXGraph diagram using JessieCode.

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

Draws a diagram showing a randomly-chosen number of circles, packed in a box.

All the answers in this question are equations. In order to mark each equation, Numbas needs to pick some values that satisfy the equation and some that don't, and check that the student's answer agrees with the expected answer.

Any equation with the same solution set as the expected answer will be marked correct.

A demo of how custom marking algorithms can be used to replace the built-in marking methods.

This question demonstrates a few ways of interacting with a Venn diagram drawn using JSXGraph.

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.

No description given

A demonstration of the random person extension, which picks representative names of people.

This question shows how to use the JSXGraph extension to show the student a plot of a function that they enter.

In the first part, the student enters an expression for $f(x)$. Once they've done that, they can reveal a plot of the function.

This question demonstrates how to plot a graph of a function using JSXGraph.

Demonstration of randomisation: many elements in this question are randomised. The names of the products and clients are randomly chosen, as are the prices and order amounts.

This question defines an otherwise-pointless pre-submit task of "wait for a while" before marking the student's answer, in order to demonstrate how to use the pre-submit tasks feature.

A demo of the "quantities with units" extension and custom part type.

The student is shown a Cartesian diagram containing a point $P$ and a circle. They must move the point and change its radius so that the point $P$ is touching the circle.

They can type the radius and coordinates in, or move the circle around on the diagram.

The student is shown a diagram containing a single point at the origin. They must move the point to the given integer coordinates.

A 2D linear programming problem: optimise the profit from producing two different kinds of product, which both use the same limited resources.

A JSXGraph diagram illustrates the problem and can be used to find an answer.

The student is shown a diagram containing a line between two points. They're given a gradient and $y$-intercept.

They must manipulate the line or the points so that the line has the given gradient and $y$-intercept.

The student must make a spanning tree of the complete graph $K_5$. They can tick boxes to include or exclude edges, or toggle them by clicking on a visual representation of the graph.

Customised for the Numbas demo exam

Motion under gravity. Object is projected vertically with initial velocity $V\;m/s$. Find time to maximum height and the maximum height. Now includes an interactive plot.

A demo of the mathematical expression part and its options.

A demo of the gap-fill part and its options.

Showing off the part types.

A question designed to demonstrate the exam-level variable overrides feature. The student must work out the median of a given sample. The exam can override size of the sample, the range of numbers to pick, and whether the sample should be shown to the student in increasing order.

In this question, the imaginary unit $\sqrt{-1}$ is written as $j$ instead of $i$.

The letters i, j and k are used to represent the standard 3D unit vectors.

In this question, $\tau$ represents the ratio of a circle's radius to its circumference, or $2\pi$.

The student is shown a GeoGebra worksheet containing a single point on a grid. They must move the point to the required coordinates.

The part is marked as correct if the point is in the right position.