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

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

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?

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. . . .

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

Which units would you choose best to fit these situations?

How would you go about estimating populations of dolphins?

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

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

Which dilutions can you make using only 10ml pipettes?

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

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

Examine these estimates. Do they sound about right?

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

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

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

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.

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

Work out the numerical values for these physical quantities.

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

Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?

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.

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?

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

Practice your skills of measurement and estimation using this interactive measurement tool based around fascinating images from biology.

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

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

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

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

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

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

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

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

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

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

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

Water freezes at 0°Celsius (32°Fahrenheit) and boils at 100°C (212°Fahrenheit). Is there a temperature at which Celsius and Fahrenheit readings are the same?

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?

Various solids are lowered into a beaker of water. How does the water level rise in each case?