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?

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

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

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

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

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

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.

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.

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

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

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. . . .

Explore the relationship between resistance and temperature

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

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?

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

Which units would you choose best to fit these situations?

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

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

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

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

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

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

Which dilutions can you make using only 10ml pipettes?

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?

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

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.

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

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

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

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?

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

How would you go about estimating populations of dolphins?

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

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

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

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

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

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

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