Which dilutions can you make using only 10ml pipettes?

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

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

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

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?

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?

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

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

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

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?

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

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.

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

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

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

Explore the relationship between resistance and temperature

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

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?

How would you go about estimating populations of dolphins?

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

Which units would you choose best to fit these situations?

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

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. . . .

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

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

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

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

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

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?

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.

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

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

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

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

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

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

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

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