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

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.

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?

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

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

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

Which dilutions can you make using only 10ml pipettes?

Explore the relationship between resistance and temperature

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

Work out the numerical values for these physical quantities.

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

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

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

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

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

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.

Examine these estimates. Do they sound about right?

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?

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

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

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

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. . . .

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

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

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. . . .

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

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

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?

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

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

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

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

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

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?

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

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?