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

Simple models which help us to investigate how epidemics grow and die out.

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?

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.

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

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

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?

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

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

Work out the numerical values for these physical quantities.

Get some practice using big and small numbers in chemistry.

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

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

Which units would you choose best to fit these situations?

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

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

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

Which dilutions can you make using only 10ml pipettes?

Investigate circuits and record your findings in this simple introduction to truth tables and logic.

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. . . .

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

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

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?

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?

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

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

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

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

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.

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

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

How would you go about estimating populations of dolphins?

Explore the relationship between resistance and temperature

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

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

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.