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

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

Work with measurements of weight, mass and density.

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.

Calculations and graphs involving measurements of speed.

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.

Identify the plane transformation performed to create a given diagram.

Questions to do with money.

Some questions to do with measures of distance and length.

Questions on geometric sequences.

Arithmetic operations involving fractions; converting between decimals and fractions; deciding if fractions are equivalent.

Questions asking you to find the equation of a line between two points, in Cartesian coordinates.

Questions on the subtleties and pitfalls of methods of data collection.

Find the lowest common multiple and highest common factors of given numbers. Also a question on identifying prime numbers.

Questions on arithmetic, or linear, sequences.

Calculate and work with measures of central tendency such as mean, median and mode, and measures of spread such as range and standard deviation.

Apply the factor and remainder theorems to manipulate polynomial expressions

Questions on rearranging expressions, expanding brackets and collecting like terms.