These spinners will give you the tens and unit digits of a number. Can you choose sets of numbers to collect so that you spin six numbers belonging to your sets in as few spins as possible?

Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?

Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?

What is the largest number of circles we can fit into the frame without them overlapping? How do you know? What will happen if you try the other shapes?

I am thinking of three sets of numbers less than 101. They are the red set, the green set and the blue set. Can you find all the numbers in the sets from these clues?

Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you find the smallest number that lights up all four lights?

I am thinking of three sets of numbers less than 101. Can you find all the numbers in each set from these clues?

This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.

Imagine a machine with four coloured lights which respond to different rules. Can you find the smallest possible number which will make all four colours light up?

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?

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

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

From the atomic masses recorded in a mass spectrometry analysis can you deduce the possible form of these compounds?

See how the motion of the simple pendulum is not-so-simple after all.

This black box reveals random values of some important, but unusual, mathematical functions. Can you deduce the purpose of the black box?

Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms

Things are roughened up and friction is now added to the approximate simple pendulum

There were lots of patterns to notice and explain in this problem. Have a look at the solutions we received.

Preveina and Timothy both sent us distorted grids or pictures using anamorphosis.

In this article for teachers, Alan Parr looks at ways that mathematics teaching and learning can start from the useful and interesting things can we do with the subject, including modelling scientific enquiry.

This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.

These images are taken from the Topkapi Palace in Istanbul, Turkey. Can you work out the basic unit that makes up each pattern? Can you continue the pattern? Can you see any similarities and differences in the designs?

An article about the kind of maths a first year undergraduate in physics, engineering and other physical sciences courses might encounter. The aim is to highlight the link between particular maths topics (e.g. complex numbers) and their applications.

There has been a murder on the Stevenson estate. Use your analytical chemistry skills to assess the crime scene and identify the cause of death...