In this short problem, can you deduce the likely location of the odd ones out in six sets of random numbers?

Are these statistical statements sometimes, always or never true? Or it is impossible to say?

Use your skill and judgement to match the sets of random data.

By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1.

Use the computer to model an epidemic. Try out public health policies to control the spread of the epidemic, to minimise the number of sick days and deaths.

Simple models which help us to investigate how epidemics grow and die out.

Why MUST these statistical statements probably be at least a little bit wrong?

Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.

Use your skill and knowledge to place various scientific lengths in order of size. Can you judge the length of objects with sizes ranging from 1 Angstrom to 1 million km with no wrong attempts?

How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?

Here are several equations from real life. Can you work out which measurements are possible from each equation?

Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?

See how enormously large quantities can cancel out to give a good approximation to the factorial function.

Which units would you choose best to fit these situations?

Get further into power series using the fascinating Bessel's equation.

Work out the numerical values for these physical quantities.

Work with numbers big and small to estimate and calculate various quantities in physical contexts.

This is our collection of tasks on the mathematical theme of 'Population Dynamics' for advanced students and those interested in mathematical modelling.

Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?

Which line graph, equations and physical processes go together?

Use trigonometry to determine whether solar eclipses on earth can be perfect.

To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...

Estimate these curious quantities sufficiently accurately that you can rank them in order of size

Get some practice using big and small numbers in chemistry.

Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?

Explore the possibilities for reaction rates versus concentrations with this non-linear differential equation

Build up the concept of the Taylor series

When you change the units, do the numbers get bigger or smaller?

Which dilutions can you make using only 10ml pipettes?

Look at the advanced way of viewing sin and cos through their power series.

Work with numbers big and small to estimate and calculate various quantities in biological contexts.

Explore the relationship between resistance and temperature

Formulate and investigate a simple mathematical model for the design of a table mat.

Investigate circuits and record your findings in this simple introduction to truth tables and logic.

Looking at small values of functions. Motivating the existence of the Taylor expansion.

Explore the meaning of the scalar and vector cross products and see how the two are related.

Explore the properties of matrix transformations with these 10 stimulating questions.

Go on a vector walk and determine which points on the walk are closest to the origin.

Where should runners start the 200m race so that they have all run the same distance by the finish?

Can you sketch these difficult curves, which have uses in mathematical modelling?

Learn about the link between logical arguments and electronic circuits. Investigate the logical connectives by making and testing your own circuits and fill in the blanks in truth tables to record. . . .

Make an accurate diagram of the solar system and explore the concept of a grand conjunction.

Can you work out which processes are represented by the graphs?

In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.

Can you make matrices which will fix one lucky vector and crush another to zero?