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

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

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

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

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

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

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

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

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

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

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

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

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

Which countries have the most naturally athletic populations?

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

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?

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

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

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

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. . . .

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.

Which dilutions can you make using only 10ml pipettes?

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

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?

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

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

Examine these estimates. Do they sound about right?

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

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?

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

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

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

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

Which units would you choose best to fit these situations?

How would you go about estimating populations of dolphins?