Christian Lawson-Perfect

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This question tests the student's knowledge of the remainder theorem and the ways in which it can be applied.

Find modulus and argument of the complex number $z_1$ and find the $n$th roots of $z_1$ where $n=5,\;6$ or $7$.

Identify when the student gives an expected incorrect answer, and give appropriate feedback as well as partial marks.

Given a statement in words of a relationship between two variables, write down a corresponding formula. It's marked correct if values satisfying the relationship satisfy the formula, and values not satisfying the relationship don't.

Then, given a value for one of the variables, work out the value of the other one. They're substituted into the formula given in the first part and marked correct if it's satisfied.

Both parts use custom marking algorithms.

Work out the volume of a prism with a trapezium cross-section.

This question explores an understanding of an energy balance over a process stream.

An exam using an experimental theme to use KaTeX to render maths instead of MathJax

Some questions that use the quantities extension to handle units.

Asks the student to add two single-digit numbers, one of which might be negative.

An example of using the GeoGebra extension to ask the student to create a geometric construction, with marking and steps.

Fiddling about with a new extension providing a "quantity" data type: an amount with units.

This question shows how the number entry part marking algorithm has changed to award credit when the student gives the correct answer but to too much precision, when the precise value is not included in the rounded-off range of acceptable answers.

See this issue on GitHub.

Student is given two whole numbers to add, they have to give the sum.

The numbers are in the range -9 to 9.

Draws a triangle based on 3 side lengths.

Add two numbers. Sometimes one of them is negative.

Add two numbers. Sometimes one of them is negative.

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The easiest type of exponential to graph where the base is greater than 1 and no transformations take place.

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Questions used in my slides for my EAMS 2016 keynote.

A selection of questions which use the "random person" extension to randomise the names of people in the question text.

Parts with zero marks now show a tick or cross as appropriate, even though they don't contribute to the total score.

See github issue https://github.com/numbas/editor/issues/147

Find a regression equation.

Now includes a graph of the regression line and another interactive graph gives users the opportunity to move the regression line around. Could be used for allowing users to experiment with what they think the line should be and see how this compares with the calculated line.

Statements about the different kinds of averages where you have to select "always", "sometimes", or "never".

The question created during the "Write your first question" tutorial.

Some impossible-looking questions about quadratic equations which can be solved with a bit of thinking.

Substitute the numeric or algebraic definition of a variable into different expressions. 

A random heating question, that randomly picks a material, and then heats it through either one or two phase changes, provides an example graph of the heating with scaled temperature ranges (though not with scaled latent and specific heats), and a table with the suitable constants.