problem
Favourite
Keep it simple
Age
11 to 14
Challenge level
Can all unit fractions be written as the sum of two unit fractions?
problem
Favourite
How would you score it?
Age
11 to 14
Challenge level
Invent a scoring system for a 'guess the weight' competition.
problem
Favourite
Sociable Cards
Age
11 to 14
Challenge level
Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?
problem
Favourite
American Billions
Age
11 to 14
Challenge level
Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by 3...
problem
Favourite
Olympic Records
Age
11 to 14
Challenge level
Can you deduce which Olympic athletics events are represented by the graphs?
problem
Favourite
Place your orders
Age
11 to 14
Challenge level
Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
problem
Favourite
Constructing Triangles
Age
11 to 14
Challenge level
Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?
problem
Favourite
Fence it
Age
11 to 14
Challenge level
If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?
problem
Favourite
Olympic Measures
Age
11 to 14
Challenge level
These Olympic quantities have been jumbled up! Can you put them back together again?
problem
Favourite
Isosceles Triangles
Age
11 to 14
Challenge level
Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?
problem
Favourite
Reaction timer
Age
11 to 14
Challenge level
This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.
problem
Favourite
Who's the best?
Age
11 to 14
Challenge level
Which countries have the most naturally athletic populations?
problem
Favourite
Coordinate Patterns
Age
11 to 14
Challenge level
Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?
problem
Favourite
Peaches today, Peaches tomorrow...
Age
11 to 14
Challenge level
A monkey with peaches, keeps a fraction of them each day, gives the rest away, and then eats one. How long can his peaches last?
problem
Favourite
Rhombus It
Age
11 to 16
Challenge level
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.
problem
Favourite
Shapely pairs
Age
11 to 14
Challenge level
A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...
problem
Favourite
Property chart
Age
11 to 14
Challenge level
A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?
problem
Favourite
Route to infinity
Age
11 to 14
Challenge level
Can you describe this route to infinity? Where will the arrows take you next?
problem
Favourite
Method in multiplying madness?
Age
7 to 14
Challenge level
Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?
problem
Favourite
All in a jumble
Age
11 to 14
Challenge level
My measurements have got all jumbled up! Swap them around and see
if you can find a combination where every measurement is valid.
problem
Favourite
Power mad!
Age
11 to 14
Challenge level
Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.