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

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. . . .

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

Examine these estimates. Do they sound about right?

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

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

Work out the numerical values for these physical quantities.

Get some practice using big and small numbers in chemistry.

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

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?

Which dilutions can you make using only 10ml pipettes?

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.

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

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?

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

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

Explore the relationship between resistance and temperature

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

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

How would you go about estimating populations of dolphins?

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?

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

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

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?

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

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

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

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

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

Which countries have the most naturally athletic populations?

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

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

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?

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

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

Which units would you choose best to fit these situations?