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

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

Examine these estimates. Do they sound about right?

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

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

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

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. . . .

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

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?

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

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

Is it really greener to go on the bus, or to buy local?

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

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?

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

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

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

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

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.

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

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

Which dilutions can you make using only 10ml pipettes?

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

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

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

Explore the relationship between resistance and temperature

Work out the numerical values for these physical quantities.

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.

Which countries have the most naturally athletic populations?

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

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?

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?

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

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

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

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

Simple models which help us to investigate how epidemics grow and die out.

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

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