Combinations

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 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

Butterfly Cards

Age

7 to 11

Challenge level

Four children were sharing a set of twenty-four butterfly cards. Are there any cards they all want? Are there any that none of them want?
problem

Polydron

Age

7 to 11

Challenge level

This activity investigates how you might make squares and pentominoes from Polydron.
problem

Five More Coins

Age

7 to 11

Challenge level

Could Ben have any amount of money between 5p and £2 in his pocket if he has five coins?
problem

Tiles on a Patio

Age

7 to 11

Challenge level

How many ways can you find of tiling the square patio, using square tiles of different sizes?
problem

Little Boxes

Age

7 to 11

Challenge level

How many different cuboids can you make when you use four CDs or DVDs? How about using five, then six?
problem

Newspapers

Age

7 to 11

Challenge level

When newspaper pages get separated at home we have to try to sort them out and get things in the correct order. How many ways can we arrange these pages so that the numbering may be different?
problem

Dice and Spinner Numbers

Age

7 to 11

Challenge level

If you had any number of ordinary dice, what are the possible ways of making their totals 6? What would the product of the dice be each time?
problem

Room Doubling

Age

7 to 11

Challenge level

Investigate the different ways you could split up these rooms so that you have double the number.