Christian Lawson-Perfect

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: write Python to assign x = 1.

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

This test contains a few easy questions on subjects covered in the GCSE syllabus. I made it to try out the "School" theme, adapted for younger students.

This is a deliberately easy question that I use for testing.

This exam has a custom diagnostic algorithm which gives the progress as a rational value. At the moment, this means "NaN%" is displayed in the sidebar.

The statement contains two blank geogebra applets: one with the computer algebra view, which can be used as a calculator, and the other with algebra and geometry views.

There are custom functions which set the perspective of a geogebra applet and show the toolbar or algebra input line. These will probably be included in the geogebra extension eventually.

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These are some questions on graph theory, pulled from a module on groups and graphs.

Shows how to use the bin function to group data into equal-sized intervals.

Several questions demonstrating the spreadsheets extension

The student is shown a table with rows for each class in a school, and two columns of numbers: books, and children. They have to work out the column totals, and the number of books per child, and enter them in the table.

Demonstrates how to construct a spreadsheet value from scratch, without uploading an .xlsx file.

Given a data sheet with distances between cities and costs for different forms of transport, and some information about modes of transport used, fill in a form for a journey.

An experiment using a PhET applet. The student can attach masses of different weights to a spring, and is asked to measure and record how far it stretches. Their measurements are shown on a graph, and they're asked to estimate the formula for the length in terms of the mass.

Fill in a truth table: the values for "A" and "B" are filled in, and the student has to work out "A or B" and then "(A or B) implies B".

Using some passages of text, fill in a product fact sheet.

A simple example showing how to mark entries in a spreadsheet.

The student is shown a diagram with measurements of rooms in a house. They have to enter the measurements in a spreadsheet, then the area of each room, and finally the total area of the house.

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.