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

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

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

Explore the relationship between resistance and temperature

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. . . .

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

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?

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?

Examine these estimates. Do they sound about right?

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

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

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

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

Which dilutions can you make using only 10ml pipettes?

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

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?

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?

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

Which units would you choose best to fit these situations?

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

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

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

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

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

Get some practice using big and small numbers in chemistry.

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.

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

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 calculate various quantities in physical contexts.

Which countries have the most naturally athletic populations?

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

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.

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

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

How would you go about estimating populations of dolphins?

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.

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?

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?

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