Visualising and representing

problem

Keep Your Distance

Age

11 to 14

Challenge level

1 out of 3

Can you mark 4 points on a flat surface so that there are only two different distances between them?
problem

Jomista Mat

Age

7 to 11

Challenge level

1 out of 3

Looking at the picture of this Jomista Mat, can you decribe what you see? Why not try and make one yourself?
problem

Rearrange the Square

Age

5 to 7

Challenge level

1 out of 3

We can cut a small triangle off the corner of a square and then fit the two pieces together. Can you work out how these shapes are made from the two pieces?
problem

Like a Circle in a Spiral

Age

7 to 16

Challenge level

1 out of 3

A cheap and simple toy with lots of mathematics. Can you interpret the images that are produced? Can you predict the pattern that will be produced using different wheels?
problem

There and Back Again

Age

11 to 14

Challenge level

1 out of 3

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

Clocking Off

Age

7 to 16

Challenge level

1 out of 3

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

Classical Means

Age

16 to 18

Challenge level

1 out of 3

Use the diagram to investigate the classical Pythagorean means.
problem

Construct-O-Straws

Age

7 to 11

Challenge level

2 out of 3

Make a cube out of straws and have a go at this practical challenge.
problem

Chess

Age

11 to 14

Challenge level

2 out of 3

What would be the smallest number of moves needed to move a Knight from a chess set from one corner to the opposite corner of a 99 by 99 square board?
problem

Tic Tac Toe

Age

11 to 14

Challenge level

2 out of 3

In the game of Noughts and Crosses there are 8 distinct winning lines. How many distinct winning lines are there in a game played on a 3 by 3 by 3 board, with 27 cells?