Visualising and representing

problem
Two primes make one square

Age

7 to 11

Challenge level

Can you make square numbers by adding two prime numbers together?
problem
Coloured edges

Age

11 to 14

Challenge level

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
Reach 100

Age

7 to 11

Challenge level

Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.
problem
Trace the edges

Age

7 to 11

Challenge level

On which of these shapes can you trace a path along all of its edges, without going over any edge twice?
problem
Plenty of pens

Age

7 to 11

Challenge level

Amy's mum had given 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.