Combinations

problem
The money maze

Age

7 to 11

Challenge level

Go through the maze, collecting and losing your money as you go. Which route gives you the highest return? And the lowest?
problem
Finding fifteen

Age

7 to 11

Challenge level

Tim had nine cards each with a different number from 1 to 9 on it. How could he have put them into three piles so that the total in each pile was 15?
problem
Negative dice

Age

11 to 14

Challenge level

If the odd numbers on two dice are made negative, which of the totals cannot be achieved?
problem
Chocoholics

Age

7 to 11

Challenge level

George and Jim want to buy a chocolate bar. George needs 2p more and Jim need 50p more to buy it. How much is the chocolate bar?
problem
Satnav dilemma

Age

11 to 14

Challenge level

How many routes are there in this diagram from S to T?
problem
Robot monsters

Age

5 to 7

Challenge level

Use these head, body and leg pieces to make Robot Monsters which are different heights.
problem
Polo square

Age

7 to 11

Challenge level

Arrange eight of the numbers between 1 and 9 in the Polo Square below so that each side adds to the same total.
problem
Here to there 1 2 3

Age

5 to 7

Challenge level

Move from the START to the FINISH by moving across or down to the next square. Can you find a route to make these totals?
problem
Triangle edges

Age

5 to 7

Challenge level

How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
problem
Hamilton's puzzle

Age

7 to 11

Challenge level

I start my journey in Rio de Janeiro and visit all the cities as Hamilton described, passing through Canberra before Madrid, and then returning to Rio. What route could I have taken?