Working systematically

problem

Sticky Dice

Age

7 to 11

Challenge level

1 out of 3

Throughout these challenges, the touching faces of any adjacent dice must have the same number. Can you find a way of making the total on the top come to each number from 11 to 18 inclusive?
problem

Rearranged Rectangle

Age

7 to 11

Challenge level

1 out of 3

How many different rectangles can you make using this set of rods?
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?
$Build it \Up more$

problem

Build It Up More

Age

7 to 11

Challenge level

2 out of 3

This task follows on from Build it Up and takes the ideas into three dimensions!
problem

Open Boxes

Age

7 to 11

Challenge level

2 out of 3

Can you work out how many cubes were used to make this open box? What size of open box could you make if you had 112 cubes?
problem

Centred Squares

Age

7 to 11

Challenge level

2 out of 3

This challenge, written for the Young Mathematicians' Award, invites you to explore 'centred squares'.
problem

Dice Stairs

Age

7 to 11

Challenge level

2 out of 3

Can you make dice stairs using the rules stated? How do you know you have all the possible stairs?
problem

Geoboards

Age

7 to 11

Challenge level

2 out of 3

This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.
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

Worms

Age

7 to 11

Challenge level

2 out of 3

Place this "worm" on the 100 square and find the total of the four squares it covers. Keeping its head in the same place, what other totals can you make?