Which countries have the most naturally athletic populations?

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

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

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

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

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

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

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

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

How would you go about estimating populations of dolphins?

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

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

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

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.

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

Examine these estimates. Do they sound about right?

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?

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

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?

The design technology curriculum requires students to be able to represent 3-dimensional objects on paper. This article introduces some of the mathematical ideas which underlie such methods.

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

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

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

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

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?

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

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?

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

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

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

Which units would you choose best to fit these situations?

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

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?

Work out the numerical values for these physical quantities.

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

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.

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