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

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

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

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

To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...

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

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.

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

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

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

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

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.

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

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?

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

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

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

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.

Get some practice using big and small numbers in chemistry.

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?

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

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

Examine these estimates. Do they sound about right?

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

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

Which dilutions can you make using only 10ml pipettes?

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

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

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

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?

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

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

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

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

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

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?

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

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