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The student is shown a diagram with a line between two points. They must make the line cross the axes at $x=1$ and $y=2$. They can drag the points around, or type a gradient in to move the points accordingly.

Use a piecewise linear graph of speed against time to find the distance travelled by a car.

Finally, use the total distance travelled to find the average speed.

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.

Add, subtract, multiply and divide algebraic fractions.

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This question shows how to pick a GeoGebra worksheet to show to the student from a list, based on the value of a question variable.

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Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix. 

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In this assignment, try and find the roots of a randomly generated polynomial, using the quadratic equation.

A test assignment to see if it integrates properly into Canvas.

A simple question to find the roots of a quadratic. Using to test integration of NUmbas into Canvas.

Simple multiplication practice.

Simple multiplication including multiples of 10, with answer that can be multiples of up to 1000.

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Some questions demonstrating the JSXGraph extension, for my talk at the JSXGraph conference 2021.

Solving 2nd order differential equation for pendulum, with and without damping.

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

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.

Compute a table of values for a quadratic function. A JSXgraph plot shows the curve going through the entered values.