Visualising and representing

problem

Kangaroo Hops

Age

11 to 14

Challenge level

Weekly Problem 11 - 2011
Kanga hops ten times in one of four directions. At how many different points can he end up?
problem

In or Out?

Age

14 to 16

Challenge level

Weekly Problem 52 - 2014
Four arcs are drawn in a circle to create a shaded area. What fraction of the area of the circle is shaded?
problem

Doubly Consecutive Sums

Age

11 to 14

Challenge level

How many numbers less than 2017 are both the sum of two consecutive integers and the sum of five consecutive integers?
game

Dragons and Swans

Age

5 to 7

Challenge level

A game for two players. You'll need some counters.
problem

How Many Pieces?

Age

5 to 7

Challenge level

How many loops of string have been used to make these patterns?
problem

Teddy Bear Line-Up

Age

5 to 7

Challenge level

What is the least number of moves you can take to rearrange the bears so that no bear is next to a bear of the same colour?
problem

Change Around

Age

5 to 7

Challenge level

Move just three of the circles so that the triangle faces in the opposite direction.
problem

Six to Four

Age

5 to 7

Challenge level

Move four sticks so there are exactly four triangles.
problem

Routes 1 and 5

Age

5 to 7

Challenge level

Find your way through the grid starting at 2 and following these operations. What number do you end on?
problem

Tessellating Capitals

Age

5 to 7

Challenge level

Have you ever tried tessellating capital letters? Have a look at these examples and then try some for yourself.