How do you write a computer program that creates the illusion of stretching elastic bands between pegs of a Geoboard? The answer contains some surprising mathematics.

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

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

Have you ever wondered what it would be like to race against Usain Bolt?

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.

Which dilutions can you make using only 10ml pipettes?

What shape would fit your pens and pencils best? How can you make it?

Which countries have the most naturally athletic populations?

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

Examine these estimates. Do they sound about right?

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

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

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

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

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?

Make your own pinhole camera for safe observation of the sun, and find out how it works.

Can Jo make a gym bag for her trainers from the piece of fabric she has?

Can you deduce which Olympic athletics events are represented by the graphs?

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

Which units would you choose best to fit these situations?

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

These Olympic quantities have been jumbled up! Can you put them back together again?

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

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

An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?

How would you design the tiering of seats in a stadium so that all spectators have a good view?

This problem explores the biology behind Rudolph's glowing red nose.

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. . . .

Analyse these beautiful biological images and attempt to rank them in size order.

Get some practice using big and small numbers in chemistry.

Can you sketch graphs to show how the height of water changes in different containers as they are filled?

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

How would you go about estimating populations of dolphins?

Work out the numerical values for these physical quantities.

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

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

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

What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?

Is it cheaper to cook a meal from scratch or to buy a ready meal? What difference does the number of people you're cooking for make?