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 dilutions can you make using only 10ml pipettes?

Examine these estimates. Do they sound about right?

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?

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

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. . . .

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

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 deduce which Olympic athletics events are represented by the graphs?

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

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

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

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

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

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

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

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

Get some practice using big and small numbers in chemistry.

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

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

How would you go about estimating populations of dolphins?

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?

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 out the numerical values for these physical quantities.

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

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 biological contexts.

Explore the relationship between resistance and temperature

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

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

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

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

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?

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

Which countries have the most naturally athletic populations?

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