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

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

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

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

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

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

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

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

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

Examine these estimates. Do they sound about right?

Get some practice using big and small numbers in chemistry.

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?

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

Work out the numerical values for these physical quantities.

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

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?

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

Which dilutions can you make using only 10ml pipettes?

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

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

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

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?

Explore the relationship between resistance and temperature

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

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

Which units would you choose best to fit these situations?

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

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

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

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

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. . . .

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?

Which countries have the most naturally athletic populations?

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

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?

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

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.

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.

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

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