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

Is there a temperature at which Celsius and Fahrenheit readings are the same?

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.

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

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

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?

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

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

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

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

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

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

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.

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

Which dilutions can you make using only 10ml pipettes?

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. . . .

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

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

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

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

Get some practice using big and small numbers in chemistry.

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

Which units would you choose best to fit these situations?

Work out the numerical values for these physical quantities.

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?

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

Which countries have the most naturally athletic populations?

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

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

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

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

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

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.

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

Use your skill and judgement to match the sets of random data.

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?

Explore the relationship between resistance and temperature

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. . . .

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

This problem explores the biology behind Rudolph's glowing red nose.

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

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

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