problem
Favourite
Which spinners?
Age
14 to 18
Challenge level
Can you work out which spinners were used to generate the frequency charts?
problem
Favourite
Circles in quadrilaterals
Age
14 to 16
Challenge level
Explore when it is possible to construct a circle which just touches all four sides of a quadrilateral.
problem
Favourite
Track design
Age
14 to 16
Challenge level
Where should runners start the 200m race so that they have all run the same distance by the finish?
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
Steel Cables
Age
14 to 16
Challenge level
Some students have been working out the number of strands needed for different sizes of cable. Can you make sense of their solutions?
problem
Favourite
Picturing the world
Age
14 to 16
Challenge level
How can we make sense of national and global statistics involving very large numbers?
problem
Favourite
Box plot match
Age
14 to 16
Challenge level
Match the cumulative frequency curves with their corresponding box plots.
problem
Favourite
Quadratic Patterns
Age
14 to 16
Challenge level
Surprising numerical patterns can be explained using algebra and diagrams...
problem
Favourite
Same length
Age
11 to 16
Challenge level
Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?
problem
Favourite
Attractive Tablecloths
Age
14 to 16
Challenge level
Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?
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
Nicely Similar
Age
14 to 16
Challenge level
If the hypotenuse (base) length is 100cm and if an extra line
splits the base into 36cm and 64cm parts, what were the side
lengths for the original right-angled triangle?
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
A Chance to Win?
Age
11 to 14
Challenge level
Imagine you were given the chance to win some money... and imagine
you had nothing to lose...