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?

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?

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 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.

Examine these estimates. Do they sound about right?

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

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...

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

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

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

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

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

Get some practice using big and small numbers in chemistry.

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

Which dilutions can you make using only 10ml pipettes?

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?

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

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

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

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

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

How would you go about estimating populations of dolphins?

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

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?

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

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

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?

Work out the numerical values for these physical quantities.

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

Explore the relationship between resistance and temperature

Which units would you choose best to fit these situations?

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

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

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

Which countries have the most naturally athletic populations?

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?