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?

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?

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?

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

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

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...

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

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

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

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

Examine these estimates. Do they sound about right?

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

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

Which units would you choose best to fit these situations?

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.

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

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

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

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. . . .

How would you go about estimating populations of dolphins?

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

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

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.

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. . . .

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

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

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

Work out the numerical values for these physical quantities.

Get some practice using big and small numbers in chemistry.

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

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

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?