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

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

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

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

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

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

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

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

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?

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

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.

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

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

Explore the relationship between resistance and temperature

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?

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

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

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

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

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

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

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

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

Which dilutions can you make using only 10ml pipettes?

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

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

Get some practice using big and small numbers in chemistry.

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

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

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

Various solids are lowered into a beaker of water. How does the water level rise in each case?

Work out the numerical values for these physical quantities.

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

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?

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?

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?