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.

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. . . .

Investigate circuits and record your findings in this simple introduction to truth tables and logic.

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.

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

Get some practice using big and small numbers in chemistry.

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?

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

Use the computer to model an epidemic. Try out public health policies to control the spread of the epidemic, to minimise the number of sick days and deaths.

Which units would you choose best to fit these situations?

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

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

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

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

Work out the numerical values for these physical quantities.

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

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

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?

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

Which dilutions can you make using only 10ml pipettes?

Can Jo make a gym bag for her trainers from the piece of fabric she has?

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

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

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

Examine these estimates. Do they sound about right?

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

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

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 deduce which Olympic athletics events are represented by the graphs?

How would you go about estimating populations of dolphins?

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

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?

Explore the relationship between resistance and temperature

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

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. . . .

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

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

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

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

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

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?