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

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?

Examine these estimates. Do they sound about right?

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

Get some practice using big and small numbers in chemistry.

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.

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

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

Work out the numerical values for these physical quantities.

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

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

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

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

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

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?

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

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

Water freezes at 0°Celsius (32°Fahrenheit) and boils at 100°C (212°Fahrenheit). Is there a temperature at which Celsius and Fahrenheit readings are the same?

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 calculate various quantities in physical contexts.

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

Which units would you choose best to fit these situations?

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?

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

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

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.

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. . . .

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

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?

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.

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

Can you work out which processes 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?

How would you go about estimating populations of dolphins?

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 calulate various quantities in biological contexts.

Explore the relationship between resistance and temperature

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

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

Which countries have the most naturally athletic populations?

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