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

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

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

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

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

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?

Which countries have the most naturally athletic populations?

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

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

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

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

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

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

Can Jo make a gym bag for her trainers from the piece of fabric she has?

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

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

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

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. . . .

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

Examine these estimates. Do they sound about right?

Use the computer to model an epidemic. Try out public health policies to control the spread of the epidemic, to minimise the number of sick days and deaths.

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

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?

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

How would you go about estimating populations of dolphins?

Get some practice using big and small numbers in chemistry.

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?

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

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

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?

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

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

Learn about the link between logical arguments and electronic circuits. Investigate the logical connectives by making and testing your own circuits and fill in the blanks in truth tables to record. . . .

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

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?

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

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