Visualising and representing

game

Dragons and swans

Age

5 to 7

Challenge level

A game for two players. You'll need some counters.
game

Sprouts

Age

11 to 16

Challenge level

A game for 2 people. Take turns joining two dots, until your opponent is unable to move.
game

Gomoku

Age

7 to 11

Challenge level

A game for two players on a large squared space.
game

Endless noughts and crosses

Age

7 to 11

Challenge level

An extension of noughts and crosses in which the grid is enlarged and the length of the winning line can to altered to 3, 4 or 5.
game

Yih or Luk tsut k'i or Three Men's Morris

Age

11 to 18

Challenge level

Some puzzles requiring no knowledge of knot theory, just a careful inspection of the patterns. A glimpse of the classification of knots and a little about prime knots, crossing numbers and knot arithmetic.
problem
Tumbling down

Age

7 to 11

Challenge level

Watch this animation. What do you see? Can you explain why this happens?
problem
Eightness of eight

Age

5 to 7

Challenge level

What do you see as you watch this video? Can you create a similar video for the number 12?
problem
Square surprise

Age

5 to 11

Challenge level

Why do you think that the red player chose that particular dot in this game of Seeing Squares?
problem
Number lines in disguise

Age

7 to 14

Challenge level

Some of the numbers have fallen off Becky's number line. Can you figure out what they were?
problem
Price match

Age

7 to 11

Challenge level

Can you find pairs of differently sized windows that cost the same?