Examine these estimates. Do they sound about right?

How would you go about estimating populations of dolphins?

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.

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.

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

Which units would you choose best to fit these situations?

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

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

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

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. . . .

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

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.

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

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.

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

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

Get some practice using big and small numbers in chemistry.

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

Which dilutions can you make using only 10ml pipettes?

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.

Explore the relationship between resistance and temperature

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 physical 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?

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

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?

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

Investigate circuits and record your findings in this simple introduction to truth tables and logic.

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.

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

Can Jo make a gym bag for her trainers from the piece of fabric she has?

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

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

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 deduce which Olympic athletics events are represented by the graphs?

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

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