Visualising and representing

problem
Plenty of pens

Age

7 to 11

Challenge level

Amy's mum gave her £2.50 to spend. She bought four times as many pens as pencils and was given 40p change. How many of each did she buy?
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
A flying holiday

Age

7 to 11

Challenge level

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
Super shapes

Age

7 to 11

Challenge level

The value of the circle changes in each of the following problems. Can you discover its value in each problem?
problem
What's it worth?

Age

11 to 16

Challenge level

There are lots of different methods to find out what the shapes are worth - how many can you find?
problem
Six to four

Age

5 to 7

Challenge level

Move four sticks so there are exactly four triangles.
problem
Waiting for blast off

Age

7 to 11

Challenge level

10 space travellers are waiting to board their spaceships. There are two rows of seats in the waiting room. Using the rules, where are they all sitting? Can you find all the possible ways?
problem
Midpoint triangle

Age

7 to 11

Challenge level

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

Age

7 to 11

Challenge level

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

Age

7 to 11

Challenge level

A game has a special dice with a colour spot on each face. These three pictures show different views of the same dice. What colour is opposite blue?