Being collaborative

problem
Fifteen cards

Age

7 to 11

Challenge level

Can you use the information to find out which cards I have used?
problem
Finding 3D stacks

Age

7 to 11

Challenge level

Can you find a way of counting the spheres in these arrangements?
problem
Summing consecutive numbers

Age

11 to 14

Challenge level

15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?
problem
Poly plug pattern

Age

5 to 7

Challenge level

Create a pattern on the small grid. How could you extend your pattern on the larger grid?
problem
All change

Age

5 to 7

Challenge level

There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?
problem
Who's the best?

Age

11 to 14

Challenge level

Which countries have the most naturally athletic populations?
problem
Olympic records

Age

11 to 14

Challenge level

Can you deduce which Olympic athletics events are represented by the graphs?
problem
Attractive tablecloths

Age

14 to 16

Challenge level

Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?
problem
Jumping squares

Age

5 to 7

Challenge level

In this problem it is not the squares that jump, you do the jumping! The idea is to go round the track in as few jumps as possible.
problem
Half time

Age

5 to 11

Challenge level

What could the half time scores have been in these Olympic hockey matches?