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?

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.

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

Examine these estimates. Do they sound about right?

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

Work out the numerical values for these physical quantities.

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

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

Get some practice using big and small numbers in chemistry.

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?

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

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?

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

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

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

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

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

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

Explore the relationship between resistance and temperature

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?

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

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.

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?

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. . . .

What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?

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

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

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

Which dilutions can you make using only 10ml pipettes?

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

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?

Which countries have the most naturally athletic populations?

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

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

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

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?

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

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