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

Get some practice using big and small numbers in chemistry.

Work out the numerical values for these physical quantities.

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

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

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

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

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

Which dilutions can you make using only 10ml pipettes?

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

Examine these estimates. Do they sound about right?

Explore the relationship between resistance and temperature

How would you go about estimating populations of dolphins?

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

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

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

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?

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

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

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?

Learn about the link between logical arguments and electronic circuits. Investigate the logical connectives by making and testing your own circuits and fill in the blanks in truth tables to record. . . .

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

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

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.

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.

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

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 deduce which Olympic athletics events are represented by the graphs?

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

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

10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?

Which countries have the most naturally athletic populations?