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

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

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

Which countries have the most naturally athletic populations?

Use your skill and judgement to match the sets of random data.

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

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

Examine these estimates. Do they sound about right?

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

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?

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

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

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

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.

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

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. . . .

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

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.

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.

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?

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?

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

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

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.

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

Starting with two basic vector steps, which destinations can you reach on a vector walk?

Explore the relationship between resistance and temperature

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?

Is there a temperature at which Celsius and Fahrenheit readings are the same?

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.

How would you go about estimating populations of dolphins?

Work out the numerical values for these physical quantities.

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

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