List

Position and Direction

Break it up!
problem
Favourite

Break It Up!

Age
5 to 11
Challenge level
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In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?

A rolled up old-fashioned treasure map.
problem
Favourite

Treasure Hunt

Age
7 to 14
Challenge level
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Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

A Cartesian Puzzle
problem
Favourite

A Cartesian Puzzle

Age
7 to 11
Challenge level
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Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.

Transformations on a Pegboard
problem
Favourite

Transformations on a Pegboard

Age
7 to 11
Challenge level
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How would you move the bands on the pegboard to alter these shapes?

Coordinate Challenge
problem
Favourite

Coordinate Challenge

Age
7 to 11
Challenge level
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Use the clues about the symmetrical properties of these letters to place them on the grid.

Eight hidden squares
problem
Favourite

Eight Hidden Squares

Age
7 to 14
Challenge level
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On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?

Ten Hidden Squares
problem
Favourite

Ten Hidden Squares

Age
7 to 14
Challenge level
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These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?