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

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

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

How would you go about estimating populations of dolphins?

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

Work out the numerical values for these physical quantities.

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

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

Get some practice using big and small numbers in chemistry.

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

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

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 biological contexts.

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?

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

Examine these estimates. Do they sound about right?

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

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

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

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. . . .

Which dilutions can you make using only 10ml pipettes?

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?

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

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

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

Which units would you choose best to fit these situations?

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?

Explore the relationship between resistance and temperature

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

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 countries have the most naturally athletic populations?

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

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

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.

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

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

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?

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