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

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

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

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

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

Was it possible that this dangerous driving penalty was issued in error?

Which line graph, equations and physical processes go together?

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

Get some practice using big and small numbers in chemistry.

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

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

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

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

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

Build up the concept of the Taylor series

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

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?

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

The probability that a passenger books a flight and does not turn up is 0.05. For an aeroplane with 400 seats how many tickets can be sold so that only 1% of flights are over-booked?

Invent scenarios which would give rise to these probability density functions.

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

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

How do you choose your planting levels to minimise the total loss at harvest time?

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

Work out the numerical values for these physical quantities.

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

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.

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

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

Match the descriptions of physical processes to these differential equations.

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

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

Which units would you choose best to fit these situations?

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

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

What functions can you make using the function machines RECIPROCAL and PRODUCT and the operator machines DIFF and INT?

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

Explore the relationship between resistance and temperature

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. . . .

Which dilutions can you make using only 10ml pipettes?

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

Each week a company produces X units and sells p per cent of its stock. How should the company plan its warehouse space?

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

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