Christian Lawson-Perfect

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.

This exam collects some questions demonstrating different uses of the programming extension and the Code part type, to mark code written in Python and R.

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.

A collection of questions demonstrating the JSXGraph, GeoGebra and Eukleides extensions.

Evaluating arithmetic operations, and the order of operations.

DIAGNOSYS is a knowledge-based test of mathematics background knowledge for first-year university students, created by John Appleby at Newcastle University.

The questions have been translated directly into Numbas, with as few changes as possible.

This question shows how to use the programming extension's run_code function to run some Python code and use its result in the marking of a non-code part type.

Python is used to calculate the correct answer for a number entry part type. This could be done

A collection of questions demonstrating the programming extension.

Some questions of relevance to consumers.

Use the product rule (number of ways of doing A and B = (no. for A)*(no. for B)) to count the number of ways of doing two independent tasks.

This question shows how to display a plot generated in matplotlib from code written by the student.

The student must write code to filter a given list of numbers, returning only the positive elements.

Given an unknown list, the student must write Python code to create a copy of it.

There's an alternative to catch the case where the student's variable is just a reference to the original list.

Given an unknown list, the student has to write code to return the last item in the list.

Given a randomly-generated list, the student must write code to return its first value.

There's an alternative to check if they get the second item, which they might do if they don't realise Python lists are zero-indexed.

The student must write code to compute the standard deviation of an unknown list of measurements.

The suggested answer uses numpy.std.

This is the simplest demonstration of the "code" part type I could think of: assign x = 1.

An alternative answer gives a hint if the studen'ts code doesn't define x at all.

A Eukleides diagram showing a list of numbers, each in their own box, with the sum drawn above.

A Eukleides diagram showing a list of numbers, each in their own box, with the sum drawn above.

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

A collection of information and activities to introduce students to Numbas. There is some information on how Numbas works, information on how to write answers to mathematical expression and number entry parts, and a "test yourself" explore mode activity.

Note: This exam was written for students accessing Numbas exams through the Numbas LTI tool. Some of the information does not apply to exams accessed standalone or through a generic SCORM player.

This question is the one described in method 2 of the example "Apply a standard integral" in the Numbas documentation.

The student is shown a randomly chosen function to integrate. The function is one of $e^{kx}$, $x^k$, $\cos(kx)$, $\sin(kx)$, with $k$ a randomly chosen integer.

A demo of the main new features in Numbas v5: explore mode, alternative answers and "Choose from a menu" question navigation.

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.

The answer to this question is a differential equation involving $y''$, $y'$ and $y$.

A variable value generator for $y$ ensures that the right values are tested to check that the student's answer is equivalent to the expected equation.

This question includes a JavaScript preamble which defines 'hbar' as a special variable name to be rendered in LaTeX as \hbar.

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.