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

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

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?

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?

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

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

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

Examine these estimates. Do they sound about right?

How would you go about estimating populations of dolphins?

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. . . .

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

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

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

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

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

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

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

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

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.

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

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 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?

Which dilutions can you make using only 10ml pipettes?

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

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

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

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.

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.

Get some practice using big and small numbers in chemistry.

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

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

Work out the numerical values for these physical quantities.

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

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.

Practice your skills of measurement and estimation using this interactive measurement tool based around fascinating images from biology.

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?

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