Visualising and representing

problem
Tumbling down

Age

7 to 11

Challenge level

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

Gomoku

Age

7 to 11

Challenge level

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

Put yourself in a box

Age

7 to 11

Challenge level

A game for 2 players. Given a board of dots in a grid pattern, players take turns drawing a line by connecting 2 adjacent dots. Your goal is to complete more squares than your opponent.
problem
Two squared

Age

7 to 11

Challenge level

What happens to the area of a square if you double the length of the sides? Try the same thing with rectangles, diamonds and other shapes. How do the four smaller ones fit into the larger one?
problem
Part the polygons

Age

7 to 11

Challenge level

Draw three straight lines to separate these shapes into four groups - each group must contain one of each shape.
problem
Pyramid numbers

Age

7 to 11

Challenge level

What are the next three numbers in this sequence? Can you explain why are they called pyramid numbers?
problem
Which scripts?

Age

7 to 11

Challenge level

There are six numbers written in five different scripts. Can you sort out which is which?
problem
Square to L

Age

7 to 11

Challenge level

Find a way to cut a 4 by 4 square into only two pieces, then rejoin the two pieces to make an L shape 6 units high.
problem
Dicey

Age

7 to 11

Challenge level

A game has a special dice with a colour spot on each face. These three pictures show different views of the same dice. What colour is opposite blue?
problem
Knight's swap

Age

7 to 11

Challenge level

Swap the stars with the moons, using only knights' moves (as on a chess board). What is the smallest number of moves possible?