Addition and subtraction

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
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
The tall tower

Age

5 to 7

Challenge level

As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?
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
A numbered route

Age

7 to 11

Challenge level

Can you draw a continuous line through 16 numbers on this grid so that the total of the numbers you pass through is as high as possible?
problem
Number tracks

Age

7 to 11

Challenge level

Ben's class were cutting up number tracks. First they cut them into twos and added up the numbers on each piece. What patterns could they see?
problem
All seated

Age

7 to 11

Challenge level

Look carefully at the numbers. What do you notice? Can you make another square using the numbers 1 to 16, that displays the same properties?