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

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

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

Get some practice using big and small numbers in chemistry.

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

Work out the numerical values for these physical quantities.

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?

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

Explore the relationship between resistance and temperature

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

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

Which units would you choose best to fit these situations?

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

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.

Examine these estimates. Do they sound about right?

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

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

Which dilutions can you make using only 10ml pipettes?

How would you go about estimating populations of dolphins?

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

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. . . .

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

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

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?

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

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

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

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

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

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

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

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

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

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

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

Can you draw the height-time chart as this complicated vessel fills with water?

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

Various solids are lowered into a beaker of water. How does the water level rise in each case?

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.

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?