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. . . .

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

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

How would you go about estimating populations of dolphins?

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

Examine these estimates. Do they sound about right?

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?

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

Get some practice using big and small numbers in chemistry.

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

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

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

Which dilutions can you make using only 10ml pipettes?

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

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

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. . . .

Work out the numerical values for these physical quantities.

Which units would you choose best to fit these situations?

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

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

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

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.

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

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

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.

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

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

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

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

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

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

Explore the relationship between resistance and temperature

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?

Practice your skills of measurement and estimation using this interactive measurement tool based around fascinating images from biology.

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?

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?

If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?

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

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

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