Working systematically

problem

Seven flipped

Age

7 to 11

Challenge level

Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
problem

Cuboid-in-a-box

Age

7 to 11

Challenge level

What is the smallest cuboid that you can put in this box so that you cannot fit another that's the same into it?
problem

Sticks and triangles

Age

7 to 11

Challenge level

Using different numbers of sticks, how many different triangles are you able to make? Can you make any rules about the numbers of sticks that make the most triangles?
problem

More and more buckets

Age

7 to 11

Challenge level

In this challenge, buckets come in five different sizes. If you choose some buckets, can you investigate the different ways in which they can be filled?
problem
Favourite

Curious number

Age

7 to 11

Challenge level

Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?
problem

Three sets of cubes, two surfaces

Age

7 to 11

Challenge level

How many models can you find which obey these rules?
problem

Building with rods

Age

7 to 11

Challenge level

In how many ways can you stack these rods, following the rules?
problem

Crossing the town square

Age

7 to 11

Challenge level

This tricky challenge asks you to find ways of going across rectangles, going through exactly ten squares.
problem
Favourite

Dice in a corner

Age

7 to 11

Challenge level

How could you arrange at least two dice in a stack so that the total of the visible spots is 18?
problem

Cover the tray

Age

7 to 11

Challenge level

These practical challenges are all about making a 'tray' and covering it with paper.