problem
Favourite
Warmsnug double glazing
Age
14 to 16
Challenge level
How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?
problem
Favourite
Which is cheaper?
Age
14 to 16
Challenge level
When I park my car in Mathstown, there are two car parks to choose from. Can you help me to decide which one to use?
problem
Favourite
Nutrition and cycling
Age
14 to 16
Challenge level
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
problem
Favourite
Isosceles seven
Age
14 to 16
Challenge level
Is it possible to find the angles in this rather special isosceles triangle?
problem
Favourite
Fair shares?
Age
14 to 16
Challenge level
A mother wants to share a sum of money by giving each of her
children in turn a lump sum plus a fraction of the remainder. How
can she do this in order to share the money out equally?
problem
Favourite
What's possible?
Age
14 to 16
Challenge level
Many numbers can be expressed as the difference of two perfect squares. What do you notice about the numbers you CANNOT make?
problem
Favourite
Pick's theorem
Age
14 to 16
Challenge level
Polygons drawn on square dotty paper have dots on their perimeter (p) and often internal (i) ones as well. Find a relationship between p, i and the area of the polygons.
problem
Favourite
Painted cube
Age
14 to 16
Challenge level
Imagine a large cube made from small red cubes being dropped into a pot of yellow paint. How many of the small cubes will have yellow paint on their faces?
problem
Favourite
Surprising transformations
Age
14 to 16
Challenge level
I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?
problem
Favourite
Latin numbers
Age
14 to 16
Challenge level
Can you create a Latin Square from multiples of a six digit number?