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

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

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

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

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

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

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

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

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

Examine these estimates. Do they sound about right?

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

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

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

How would you go about estimating populations of dolphins?

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

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

Can you work out which processes are represented by the graphs?

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

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

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

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

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

Which dilutions can you make using only 10ml pipettes?

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

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?

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

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

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. . . .

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

Get some practice using big and small numbers in chemistry.

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

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

Work out the numerical values for these physical quantities.

Which countries have the most naturally athletic populations?

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

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

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?

Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?

Starting with two basic vector steps, which destinations can you reach on a vector walk?

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

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