Some custom CSS restyles the matrix input so it looks like a fraction, with input boxes on top and bottom.

Ideally, there should be a fraction input part type, or an option for the number entry part to display a fraction input.

Student is given a few numbers to choose from. They must pick at least two, and then give the sum of their chosen numbers.

This exam turns off all the feedback options, so students know nothing about how they've done.

This question shows how to ask for a number in scientific notation, by asking for the significand and exponent separately and using a custom marking algorithm in the gap-fill part to put the two pieces together.

Answers not in standard form, i.e. with a significand not in $[1,10)$, are accepted but given partial marks.

A randomly generated list of numbers is shown to the student. They must tick every occurrence of the lowest number. The number of occurrences isn't always the same - sometimes the minimum is unique and sometimes it is repeated. The map function makes it easy to construct a marking matrix.

The student has to compute $a^b$ and $b^a$, then decide which of the two is bigger.

This question shows how to set up a custom marking matrix for the "choose one from a list" part, based on values used elsewhere in the question. It could use adaptive marking to use the student's incorrect values for the comparison, but doesn't at the moment.

A "match choices with answers" part where the student either gets all the marks or none. Any incorrect choice is penalised with a huge negative mark, so they end up with the minimum mark of 0.

A mathematical expression part whose answer is the product of two matrices, $X \times Y$.

By setting the "variable value generator" option for $X$ and $Y$ to produce random matrices, we can ensure that the order of the factors in the student's answer matters: $X \times Y \neq Y \times X$.

Some quadratics are to be solved by factorising

Several graphs are drawn. Student should select those that are cubics

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A fill-in-the-blank style question to test vocabulary within the topic of Algebra.

Finding the modulus and argument (in radians) of four complex numbers; the arguments between $-\pi$ and $\pi$ and careful with quadrants!

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Calculation of the length and alternative form of the parameteric representation of a curve.

Calculation of the length and alternative form of the parameteric representation of a curve, involving trigonometric functions.

Questions on vector arithmetic and vector operations, including dot and cross product, as well as the vector equations of planes and lines.

Statistics and probability. Two questions: using LSD and Tukey yardsticks.

Practice bank of multivariable calculus questions

Divergence of vector fields.

Unit normal vector to a surface, given in Cartesian form.

Cartesian form of the parametric representation of a surface, normal vector, and magnitude.

Outward normals to the surfaces enclosing a region; volume of that enclosed region.

Outward normals to the surfaces enclosing a region; volume of that enclosed region.

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