Exploring and noticing

problem

Junior frogs

Age

5 to 11

Challenge level

Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
problem
Favourite

Three squares

Age

5 to 11

Challenge level

What is the greatest number of squares you can make by overlapping three squares?
problem
Favourite

4 dom

Age

5 to 11

Challenge level

Use these four dominoes to make a square that has the same number of dots on each side.
problem
Favourite

Count me in

Age

7 to 11

Challenge level

How do you know whether you will reach these numbers when you count in steps of six from zero?
problem
Favourite

Tumbling down

Age

7 to 11

Challenge level

Watch this animation. What do you see? Can you explain why this happens?
game

Sliding game

Age

7 to 11

Challenge level

A shunting puzzle for 1 person. Swop the positions of the counters at the top and bottom of the board.
game
Favourite

Dicey operations in line

Age

7 to 11

Challenge level

In these addition, subtraction, multiplication and division games, you'll need to think strategically to get closest to the target.
problem
Favourite

Cubes

Age

7 to 11

Challenge level

How many faces can you see when you arrange these three cubes in different ways?
problem

Sending cards

Age

7 to 11

Challenge level

This challenge asks you to investigate the total number of cards that would be sent if four children send one to all three others. How many would be sent if there were five children? Six?
problem

The great tiling count

Age

7 to 11

Challenge level

Compare the numbers of particular tiles in one or all of these three designs, inspired by the floor tiles of a church in Cambridge.