Combinations

problem
Briefcase lock

Age

5 to 7

Challenge level

My briefcase has a three-number combination lock, but I have forgotten the combination. I remember that there's a 3, a 5 and an 8. How many possible combinations are there to try?
problem
Mrs Beeswax

Age

5 to 7

Challenge level

In how many ways could Mrs Beeswax put ten coins into her three puddings so that each pudding ended up with at least two coins?
problem
Ladybirds in the garden

Age

5 to 7

Challenge level

In Sam and Jill's garden there are two sorts of ladybirds with 7 spots or 4 spots. What numbers of total spots can you make?
problem
Nineteen hexagons

Age

5 to 7

Challenge level

In this maze of hexagons, you start in the centre at 0. The next hexagon must be a multiple of 2 and the next a multiple of 5. What are the possible paths you could take?
problem
Three ball line up

Age

5 to 7

Challenge level

Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
problem
Triangle animals

Age

5 to 7

Challenge level

How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?
problem
Number round up

Age

5 to 7

Challenge level

Arrange the numbers 1 to 6 in each set of circles below. The sum of each side of the triangle should equal the number in its centre.
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
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
Two and one

Age

5 to 7

Challenge level

Terry and Ali are playing a game with three balls. Is it fair that Terry wins when the middle ball is red?