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

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

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.

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

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?

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

Examine these estimates. Do they sound about right?

Work out the numerical values for these physical quantities.

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.

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

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?

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?

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

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

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

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

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

Which dilutions can you make using only 10ml pipettes?

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

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. . . .

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.

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

Explore the relationship between resistance and temperature

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?

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

Which units would you choose best to fit these situations?

Which countries have the most naturally athletic populations?

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.

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

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

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

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.

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

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