Visualising and representing

problem

Knight's Swap

Age

7 to 11

Challenge level

1 out of 3

Swap the stars with the moons, using only knights' moves (as on a chess board). What is the smallest number of moves possible?
problem

Midpoint Triangle

Age

7 to 11

Challenge level

1 out of 3

Can you cut up a square in the way shown and make the pieces into a triangle?
problem

A Flying Holiday

Age

7 to 11

Challenge level

1 out of 3

Follow the journey taken by this bird and let us know for how long and in what direction it must fly to return to its starting point.
problem

Colour Wheels

Age

7 to 11

Challenge level

1 out of 3

Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
problem

Paw Prints

Age

7 to 11

Challenge level

1 out of 3

A dog is looking for a good place to bury his bone. Can you work out where he started and ended in each case? What possible routes could he have taken?
problem

Painted Faces

Age

7 to 11

Challenge level

1 out of 3

Imagine a 3 by 3 by 3 cube made of 9 small cubes. Each face of the large cube is painted a different colour. How many small cubes will have two painted faces? Where are they?
problem

More Building With Cubes

Age

7 to 11

Challenge level

1 out of 3

Here are more buildings to picture in your mind's eye. Watch out - they become quite complicated!
problem

Reef and Granny

Age

7 to 11

Challenge level

1 out of 3

Have a look at what happens when you pull a reef knot and a granny knot tight. Which do you think is best for securing things together? Why?
problem

Putting Two and Two Together

Age

7 to 11

Challenge level

1 out of 3

In how many ways can you fit two of these yellow triangles together? Can you predict the number of ways two blue triangles can be fitted together?
problem

28 - Upward and Onward

Age

7 to 11

Challenge level

1 out of 3

Can you find ways of joining cubes together so that 28 faces are visible?