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

Get some practice using big and small numbers in chemistry.

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

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

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

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

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

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.

If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?

Work out the numerical values for these physical quantities.

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?

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

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

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

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

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

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

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

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

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

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

Which units would you choose best to fit these situations?

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

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

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

Explore the relationship between resistance and temperature

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

How would you go about estimating populations of dolphins?

Which countries have the most naturally athletic populations?

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?

Two trains set off at the same time from each end of a single straight railway line. A very fast bee starts off in front of the first train and flies continuously back and forth between the. . . .

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

The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?

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

Which dilutions can you make using only 10ml pipettes?

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

10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?

Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?

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

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

Invent a scoring system for a 'guess the weight' competition.