Visualising and representing

problem

Euromaths

Age

11 to 14

Challenge level

1 out of 3

How many ways can you write the word EUROMATHS by starting at the top left hand corner and taking the next letter by stepping one step down or one step to the right in a 5×5 array?
problem

Icosian Game

Age

11 to 14

Challenge level

1 out of 3

This problem is about investigating whether it is possible to start at one vertex of a platonic solid and visit every other vertex once only returning to the vertex you started at.
problem

Coloured Edges

Age

11 to 14

Challenge level

1 out of 3

The whole set of tiles is used to make a square. This has a green and blue border. There are no green or blue tiles anywhere in the square except on this border. How many tiles are there in the set?
problem

Threesomes

Age

11 to 14

Challenge level

1 out of 3

Imagine an infinitely large sheet of square dotty paper on which you can draw triangles of any size you wish (providing each vertex is on a dot). What areas is it/is it not possible to draw?
problem

Dotty Triangles

Age

11 to 14

Challenge level

1 out of 3

Imagine an infinitely large sheet of square dotty paper on which you can draw triangles of any size you wish (providing each vertex is on a dot). What areas is it/is it not possible to draw?
problem

Folded A4

Age

11 to 14

Challenge level

1 out of 3

What shapes can be made by folding an A4 sheet of paper only once?
problem

Bishop's Paradise

Age

11 to 14

Challenge level

1 out of 3

Which of the statements about diagonals of polygons is false?
problem

Concrete Wheel

Age

11 to 14

Challenge level

1 out of 3

A huge wheel is rolling past your window. What do you see?
problem

Daniel's Star

Age

11 to 14

Challenge level

1 out of 3

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

Ace, Two, Three...

Age

11 to 14

Challenge level

1 out of 3

Can you picture how to order the cards to reproduce Charlie's card trick for yourself?