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

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

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

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

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

Work out the numerical values for these physical quantities.

Get some practice using big and small numbers in chemistry.

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

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

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. . . .

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...

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

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?

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

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

Which units would you choose best to fit these situations?

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?

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

Explore the relationship between resistance and temperature

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?

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

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?

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

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

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

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

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

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

Which dilutions can you make using only 10ml pipettes?

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

How would you go about estimating populations of dolphins?

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

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

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

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

Which countries have the most naturally athletic populations?

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.

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

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