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

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

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

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

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

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

Examine these estimates. Do they sound about right?

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

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.

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

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

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?

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

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

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?

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

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

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

In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs?

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.

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

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

Which units would you choose best to fit these situations?

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?

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

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

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

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

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

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

Work out the numerical values for these physical quantities.

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.

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

Can you draw the height-time chart as this complicated vessel fills with water?

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?

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

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