Combinations

problem

Cat Food

Age

7 to 11

Challenge level

1 out of 3

Sam sets up displays of cat food in his shop in triangular stacks. If Felix buys some, then how can Sam arrange the remaining cans in triangular stacks?
problem

Penta Post

Age

7 to 11

Challenge level

1 out of 3

Here are the prices for 1st and 2nd class mail within the UK. You have an unlimited number of each of these stamps. Which stamps would you need to post a parcel weighing 825g?
problem

Chocs, Mints, Jellies

Age

7 to 11

Challenge level

1 out of 3

In a bowl there are 4 Chocolates, 3 Jellies and 5 Mints. Find a way to share the sweets between the three children so they each get the kind they like. Is there more than one way to do it?
problem

Polo Square

Age

7 to 11

Challenge level

1 out of 3

Arrange eight of the numbers between 1 and 9 in the Polo Square below so that each side adds to the same total.
problem

The Money Maze

Age

7 to 11

Challenge level

1 out of 3

Go through the maze, collecting and losing your money as you go. Which route gives you the highest return? And the lowest?
problem

Butterfly Cards

Age

7 to 11

Challenge level

1 out of 3

Four children were sharing a set of twenty-four butterfly cards. Are there any cards they all want? Are there any that none of them want?
problem

Polydron

Age

7 to 11

Challenge level

1 out of 3

This activity investigates how you might make squares and pentominoes from Polydron.
problem

Five More Coins

Age

7 to 11

Challenge level

1 out of 3

Could Ben have any amount of money between 5p and £2 in his pocket if he has five coins?
problem

Tiles on a Patio

Age

7 to 11

Challenge level

2 out of 3

How many ways can you find of tiling the square patio, using square tiles of different sizes?
problem

Little Boxes

Age

7 to 11

Challenge level

2 out of 3

How many different cuboids can you make when you use four CDs or DVDs? How about using five, then six?