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

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

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

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.

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

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.

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?

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

Get some practice using big and small numbers in chemistry.

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

Work out the numerical values for these physical quantities.

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

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

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

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

Which dilutions can you make using only 10ml pipettes?

How would you go about estimating populations of dolphins?

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

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 calulate various quantities in biological contexts.

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

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

Can you work out which processes 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?

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

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

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

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.

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

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

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

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?

Examine these estimates. Do they sound about right?

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

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. . . .