Exploring and noticing

problem

Only Connect

Age

11 to 14

Challenge level

1 out of 3

The graph represents a salesman’s area of activity with the shops that the salesman must visit each day. What route around the shops has the minimum total distance?
problem

Path to the Stars

Age

7 to 11

Challenge level

2 out of 3

Is it possible to draw a 5-pointed star without taking your pencil off the paper? Is it possible to draw a 6-pointed star in the same way without taking your pen off?
problem

Arrange the Digits

Age

11 to 14

Challenge level

2 out of 3

Can you arrange the digits 1,2,3,4,5,6,7,8,9 into three 3-digit numbers such that their total is close to 1500?
problem

A Mean Tetrahedron

Age

11 to 14

Challenge level

3 out of 3

Can you number the vertices, edges and faces of a tetrahedron so that the number on each edge is the mean of the numbers on the adjacent vertices and the mean of the numbers on the adjacent faces?
problem

Homes

Age

5 to 7

Challenge level

1 out of 3

Six new homes are being built! They can be detached, semi-detached or terraced houses. How many different combinations of these can you find?
problem

What Shape and Colour?

Age

5 to 7

Challenge level

1 out of 3

Can you fill in the empty boxes in the grid with the right shape and colour?
problem

So It's 28

Age

5 to 7

Challenge level

1 out of 3

Here is your chance to investigate the number 28 using shapes, cubes ... in fact anything at all.
problem

All Change

Age

5 to 7

Challenge level

1 out of 3

There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?
problem

Starfish Spotting

Age

5 to 7

Challenge level

2 out of 3

How many starfish could there be on the beach, and how many children, if I can see 28 arms?
problem

Amazing Alphabet Maze

Age

5 to 7

Challenge level

2 out of 3

Can you go from A to Z right through the alphabet in the hexagonal maze?