Combinations

problem

Jumping Cricket

Age

5 to 7

Challenge level

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

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

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

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?
problem

Four-Triangle Arrangements

Age

5 to 7

Challenge level

How many different shapes can you make by putting four right- angled isosceles triangles together?
problem

Train Carriages

Age

5 to 11

Challenge level

Suppose there is a train with 24 carriages which are going to be put together to make up some new trains. Can you find all the ways that this can be done?
problem

Three by Three

Age

5 to 11

Challenge level

Arrange 3 red, 3 blue and 3 yellow counters into a three-by-three square grid, so that there is only one of each colour in every row and every column