Two questions testing the application of the Sine Rule when given two angles and a side. In this question the triangle is obtuse. In one question, the two given angles are both acute. In the second, one of the angles is obtuse.

Two questions testing the application of the Sine Rule when given two sides and an angle. In this question, the triangle is always acute and one of the given side lengths is opposite the given angle.

Modulus and argument of a single complex number, where $\mathrm{Re}(z)=\mathrm{Im}(z)$.

Multiple response question (2 correct out of 4) covering properties of continuity and differentiability. Selection of questions from a pool.

Can choose true and false for each option. Also in one test run the second choice was incorrectly entered, rest correct,  but the feedback indicates that the third was wrong.

Multiple response question (2 correct out of 4) covering properties of continuity and limits of functions. Selection of questions from a pool.

Questions on Pearson and Spearman correlation coefficients.

Questions on differentiation from first principles, and continuity and differentiability.

Eight questions on finding least upper bounds and greatest lower bounds of various sets.

Questions on the least upper bounds and greatest lower bounds of sets of the form $\{ f(x) : x \in \mathbb{Z} \text{ or } \mathbb{R} \}$.

Questions about complex arithmetic; argument and modulus of complex numbers; complex roots of polynomials; de Moivre's theorem.

Express $\displaystyle \frac{a}{(x+r)(px + b)} + \frac{c}{(x+r)(qx + d)}$ as an algebraic single fraction over a common denominator. The question asks for a solution which has denominator $(x+r)(px+b)(qx+d)$.

Refresher questions on topics in algebra that students beginning a maths undergraduate course should be familiar with.

In the Gaussian integer ring $\mathbb{Z}[i]$ , find the remainder $r=r_1+r_2i$, where $a \gt 0,\;b \gt 0$ , on dividing $a+bi$ by $c+di$ .

Questions on adding, subtracting, multiplying and dividing numbers in standard form.

Questions involving the calculation of the volumes of shapes.

Questions on manipulating logarithms.

A collection of questions on working with units of measurement, mainly in the SI/metric system.

Several 'real-world' examples.

Some questions on working with surds.

Questions involving various techniques for rearranging and solving quadratic expressions and equations

Calculations involving elementary probability, and several questions designed to draw out misconceptions to do with probability.

Questions on presenting data in charts or tables.

Questions on powers, the laws of indices, and exponential growth.

Questions to do with money.

Some questions to do with measures of distance and length.

Questions on geometric sequences.