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 really greener to go on the bus, or to buy local?

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

Examine these estimates. Do they sound about right?

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

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

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

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

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

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?

Get some practice using big and small numbers in chemistry.

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

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

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

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

Make an accurate diagram of the solar system and explore the concept of a grand conjunction.

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.

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.

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

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?

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

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

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

Which dilutions can you make using only 10ml pipettes?

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?

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

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?

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

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

Explore the relationship between resistance and temperature

This problem explores the biology behind Rudolph's glowing red nose.

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

Which units would you choose best to fit these situations?