Visualising and representing

problem
Clocking off

Age

7 to 16

Challenge level

I found these clocks in the Arts Centre at the University of Warwick intriguing - do they really need four clocks and what times would be ambiguous with only two or three of them?
problem
There and back again

Age

11 to 14

Challenge level

Bilbo goes on an adventure, before arriving back home. Using the information given about his journey, can you work out where Bilbo lives?
problem
Shape times shape

Age

7 to 11

Challenge level

These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?
problem
Rectangle rearrangement

Age

14 to 16

Challenge level

A 3x8 rectangle is cut into two pieces... then rearranged to form a right-angled triangle. What is the perimeter of the triangle formed?
problem
Daniel's star

Age

11 to 14

Challenge level

A solid 'star' shape is created. How many faces does it have?
problem
Hamiltonian cube

Age

11 to 16

Challenge level

Weekly Problem 36 - 2007
Find the length along the shortest path passing through certain points on the cube.
problem
Blockupied

Age

11 to 14

Challenge level

A 1x2x3 block is placed on an 8x8 board and rolled several times.... How many squares has it occupied altogether?
problem
Gutter

Age

14 to 16

Challenge level

Manufacturers need to minimise the amount of material used to make their product. What is the best cross-section for a gutter?
problem
Dating made easier

Age

14 to 16

Challenge level

If a sum invested gains 10% each year how long before it has doubled its value?
problem
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?