Combinations

problem

Butterfly Cards

Age

7 to 11

Challenge level

1 out of 3

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

1 out of 3

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

Five More Coins

Age

7 to 11

Challenge level

1 out of 3

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

2 out of 3

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

2 out of 3

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

2 out of 3

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

2 out of 3

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

2 out of 3

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

It Figures

Age

7 to 11

Challenge level

2 out of 3

Suppose we allow ourselves to use three numbers less than 10 and multiply them together. How many different products can you find? How do you know you've got them all?
problem

Bean Bags for Bernard's Bag

Age

7 to 11

Challenge level

2 out of 3

How could you put eight bean bags in the hoops so that there are four in the blue hoop, five in the red and six in the yellow? Can you find all the ways of doing this?