Many natural systems appear to be in equilibrium until suddenly a critical point is reached, setting up a mudslide or an avalanche or an earthquake. In this project, students will use a simple. . . .

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?

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

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

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

What shape and size of drinks mat is best for flipping and catching?

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

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

Examine these estimates. Do they sound about right?

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?

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

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

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

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

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