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

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

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

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?

If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?

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

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

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

Examine these estimates. Do they sound about right?

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

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

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

Which countries have the most naturally athletic populations?

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?

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

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

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

How would you go about estimating populations of dolphins?

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

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

Get some practice using big and small numbers in chemistry.

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

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 calculate various quantities in physical contexts.

Which units would you choose best to fit these situations?

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?

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

Which dilutions can you make using only 10ml pipettes?

Explore the relationship between resistance and temperature

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

Work out the numerical values for these physical quantities.

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

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. . . .

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

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.

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