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Some questions to show off features of Numbas, linked from the Numbas homepage.

The student is asked to factorise a quadratic $x^2 + ax + b$. A custom marking script uses pattern matching to ensure that the student's answer is of the form $(x+a)(x+b)$, $(x+a)^2$, or $x(x+a)$.

To find the script, look in the Scripts tab of part a.

Critical points, absolute minimum, local maximum and minimum points, increasing and decreasing, concavity

rebel

rebelmaths

No description given

This question tests a student's ability to subtract one fraction from another with different denominators.

This question tests a student's ability to raise a positive base to a negative exponent.

This question asks a student to draw a straight line graph by dragging points.

Composite functions.

No description given

There are copious comments in the definition of the function eqnline about the voodoo needed to have a JSXGraph diagram interact with the input box for a part.