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. . . .

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

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

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?

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

Explore the relationship between resistance and temperature

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?

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

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

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?

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

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

How would you go about estimating populations of dolphins?

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

Which dilutions can you make using only 10ml pipettes?

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

Examine these estimates. Do they sound about right?

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

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.

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

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

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?

Work out the numerical values for these physical quantities.

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?

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

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

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

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?

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

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

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.

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

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

Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.

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

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