Given two complex numbers, find by inspection the one that is a root of a given quartic real polynomial and hence find the other roots. 

No description given

Download a file and scan the values into R to obtain a numeric vector of values. Then use R to explore your numeric vector in order to find the answers to these questions.

SPSS fat absorption question. Student downloads one of several SPSS files and carries out some analysis in SPSS, before returning to enter the answers. The analysis is a one-way analysis of variance. If there is a difference in the levels of the factor then a post hoc test (Tukey's honestly significant difference) is used to determine which pairs of variables are significantly different. 

Basic rules of derivatives

Rearranging equations to change the subject

Find the inverse of a composite function by finding the inverses of two functions and then the composite of these; and by finding the composite of two functions then finding the inverse. The question then concludes by asking students to compare their two answers and verify they're equivalent.

A few simple functions are provided of the form ax, x+b and cx+d. Values of the functions, inverses and compositions are asked for. Most are numerical but the last few questions are algebraic.

Substitute values into formulae for the area or volume of various geometric objects.

Given a randomised square root function select the possible ways of writing the domain of the function.

Given a randomised rational function select the possible ways of writing the domain of the function.

Multiple choice question. Given a randomised polynomial select the possibe ways of writing the domain of the function.

A graphical introduction to the concept of even functions a symmery

A graphical introduction to the concept of even functions a symmery

Curl and divergence of a vector field.  Determine whether the vector field is irrotational or solenoidal.

Given mass and volume of an object in SI units, calculate its density. The units are given at different orders of magnitude.

Given $m \in \mathbb{N}$, find values of $n\in \mathbb{N}$ such that $\sigma(n)=m$.

There are at most two such solutions in this question.

This question involves matching images of graphings to descriptions of the relationships between variables.

Find the dot product and the angle between two vectors

No description given

Calculating particular harmonic components of a Fourier series expansion.

This is a set of questions designed to help you practice adding, subtracting, multiplying and dividing fractions.

All of these can be done without a calculator.

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.

Couting application where repitition is allowed and order does not matter.

Applicaiton of the pigeonhole principle

Definition of the pigeonhole principle, and some examples

Simple counting exercise. Students are encouraged to look for the smart way of counting.

Intorduces strong induction and uses it to verify the solutions of a second order linear recurrence.

Intorduction to using the defnition to prove simple stamtements.