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

How would you go about estimating populations of dolphins?

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

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?

Explore the relationship between resistance and temperature

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

Work out the numerical values for these physical quantities.

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

Which dilutions can you make using only 10ml pipettes?

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

Examine these estimates. Do they sound about right?

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

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

Get some practice using big and small numbers in chemistry.

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

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?

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

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

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

Which units would you choose best to fit these situations?

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

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.

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

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. . . .

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?

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

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

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

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?

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

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

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

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

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

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

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

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

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

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

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