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

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

How would you go about estimating populations of dolphins?

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

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

Which countries have the most naturally athletic populations?

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

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

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

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

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?

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.

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

Learn about the link between logical arguments and electronic circuits. Investigate the logical connectives by making and testing your own circuits and fill in the blanks in truth tables to record. . . .

Get some practice using big and small numbers in chemistry.

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

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?

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

Use the computer to model an epidemic. Try out public health policies to control the spread of the epidemic, to minimise the number of sick days and deaths.

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

Work out the numerical values for these physical quantities.

Examine these estimates. Do they sound about right?

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

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

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

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. . . .

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

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

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

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

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

Explore the relationship between resistance and temperature

This problem explores the biology behind Rudolph's glowing red nose.

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

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

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

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

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

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?

Which dilutions can you make using only 10ml pipettes?