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. . . .

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

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

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

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

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

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

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?

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

Which dilutions can you make using only 10ml pipettes?

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?

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

Explore the relationship between resistance and temperature

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

Examine these estimates. Do they sound about right?

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

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

Which units would you choose best to fit these situations?

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

How would you go about estimating populations of dolphins?

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

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

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

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

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

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

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

Get some practice using big and small numbers in chemistry.

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

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

In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs?

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

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

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?

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.

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?

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

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