Combinations

problem

Three Block Towers

Age

5 to 7

Challenge level

2 out of 3

Take three differently coloured blocks - maybe red, yellow and blue. Make a tower using one of each colour. How many different towers can you make?
problem

Snakes

Age

5 to 7

Challenge level

2 out of 3

Explore the different snakes that can be made using 5 cubes.
problem

Mixed-Up Socks

Age

5 to 7

Challenge level

2 out of 3

Start with three pairs of socks. Now mix them up so that no mismatched pair is the same as another mismatched pair. Is there more than one way to do it?
problem

Jumping Cricket

Age

5 to 7

Challenge level

2 out of 3

El Crico the cricket has to cross a square patio to get home. He can jump the length of one tile, two tiles and three tiles. Can you find a path that would get El Crico home in three jumps?
problem

Briefcase Lock

Age

5 to 7

Challenge level

2 out of 3

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

2 out of 3

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

Nineteen Hexagons

Age

5 to 7

Challenge level

2 out of 3

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

Triangle Edges

Age

5 to 7

Challenge level

3 out of 3

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

3 out of 3

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

3 out of 3

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