Working systematically

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.
problem

It Figures

Age

7 to 11

Challenge level

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

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?
problem

Watch Your Feet

Age

7 to 11

Challenge level

I like to walk along the cracks of the paving stones, but not the outside edge of the path itself. How many different routes can you find for me to take?
problem

X Is 5 Squares

Age

7 to 11

Challenge level

Can you arrange 5 different digits (from 0 - 9) in the cross in the way described?
problem

How Old?

Age

7 to 11

Challenge level

Cherri, Saxon, Mel and Paul are friends. They are all different ages. Can you find out the age of each friend using the information?
problem

Delia's Routes

Age

7 to 11

Challenge level

A little mouse called Delia lives in a hole in the bottom of a tree.....How many days will it be before Delia has to take the same route again?
problem

Hubble, Bubble

Age

7 to 11

Challenge level

Winifred Wytsh bought a box each of jelly babies, milk jelly bears, yellow jelly bees and jelly belly beans. In how many different ways could she make a jolly jelly feast with 32 legs?
problem

Six Is the Sum

Age

7 to 11

Challenge level

What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?