problem Trig reps Age 16 to 18 Challenge level Can you deduce the familiar properties of the sine and cosine functions starting from these three different mathematical representations?
problem Polar Bearings Age 16 to 18 Challenge level What on earth are polar coordinates, and why would you want to use them?
problem Factorising with Multilink Age 14 to 16 Challenge level Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?
problem Always a multiple? Age 11 to 14 Challenge level Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...
problem Maths Shop Window Age 16 to 18 Challenge level Make a functional window display which will both satisfy the manager and make sense to the shoppers
problem Double Trouble Age 14 to 16 Challenge level Simple additions can lead to intriguing results...
problem Take three numbers Age 7 to 11 Challenge level What happens when you add three numbers together? Will your answer be odd or even? How do you know?
problem Odd times Even Age 5 to 7 Challenge level This problem looks at how one example of your choice can show something about the general structure of multiplication.
problem Two numbers under the microscope Age 5 to 7 Challenge level This investigates one particular property of number by looking closely at an example of adding two odd numbers together.
article Take one example This article introduces the idea of generic proof for younger children and illustrates how one example can offer a proof of a general result through unpacking its underlying structure.