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?

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

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

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

Which dilutions can you make using only 10ml pipettes?

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

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

Get some practice using big and small numbers in chemistry.

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

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

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

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

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

Examine these estimates. Do they sound about right?

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

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

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

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

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

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

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

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

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. . . .

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

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

The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?

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?

Which countries have the most naturally athletic populations?

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

Work out the numerical values for these physical quantities.

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

Explore the relationship between resistance and temperature

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

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

Use your skill and judgement to match the sets of random data.

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

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

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.

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