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

Use your skill and judgement to match the sets of random data.

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

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

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

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

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

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

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?

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

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

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?

Get some practice using big and small numbers in chemistry.

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

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

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?

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?

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

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

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

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

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

Explore the relationship between resistance and temperature

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?

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. . . .

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

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

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

Work out the numerical values for these physical quantities.

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

How would you go about estimating populations of dolphins?

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?

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

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

Which countries have the most naturally athletic populations?

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