Combinations

problem

More Plant Spaces

Age

7 to 14

Challenge level

3 out of 3

This challenging activity involves finding different ways to distribute fifteen items among four sets, when the sets must include three, four, five and six items.
problem

Dicing With Numbers

Age

11 to 14

Challenge level

1 out of 3

In how many ways can you arrange three dice side by side on a surface so that the sum of the numbers on each of the four faces (top, bottom, front and back) is equal?
problem

Football Crazy Hockey Mad

Age

11 to 14

Challenge level

1 out of 3

In a league of 5 football teams which play in a round robin tournament show that it is possible for all five teams to be league leaders.
problem

Satnav Dilemma

Age

11 to 14

Challenge level

1 out of 3

How many routes are there in this diagram from S to T?
problem

Negative Dice

Age

11 to 14

Challenge level

1 out of 3

If the odd numbers on two dice are made negative, which of the totals cannot be achieved?
problem

Colour Building

Age

11 to 14

Challenge level

1 out of 3

Using only the red and white rods, how many different ways are there to make up the other rods?
problem

Making 11p

Age

11 to 14

Challenge level

1 out of 3

How many ways are there to make 11p using 1p, 2p and 5p coins?
problem

Royal Arm Wrestling

Age

11 to 14

Challenge level

1 out of 3

How many arm-wrestles will there be in the royal arm wrestling championship?
problem

Island Hopping

Age

11 to 14

Challenge level

1 out of 3

What is the smallest number of ferry trips that Neda needs to take to visit all four islands and return to the mainland?
problem

Colourful Tiles

Age

11 to 14

Challenge level

1 out of 3

Weekly Problem 21 - 2011
How many ways can you paint this wall with four different colours?