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Coordinate Patterns
Route to Infinity
Marbles in a Box
Kite in a Square
Geometry: A History from Practice to Abstraction
Reasoning Geometrically
Reasoning Geometrically
Geometrical reasoning can involve coordinate geometry and properties of 2d and 3d shapes, and may even lead to algebraic representations. These problems invite you to explore geometry in a variety of contexts.
Coordinate Patterns Age 11 to 14Challenge Level 
Age 11 to 14
Challenge Level
Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?
Route to Infinity Age 11 to 14Challenge Level
Age 11 to 14
Challenge Level
Can you describe this route to infinity? Where will the arrows take you next?
Marbles in a Box Age 11 to 16Challenge Level
Age 11 to 16
Challenge Level
How many winning lines can you make in a three-dimensional version of noughts and crosses?
Kite in a Square Age 14 to 18Challenge Level
Age 14 to 18
Challenge Level
Can you make sense of the three methods to work out what fraction of the total area is shaded?
Geometry: A History from Practice to Abstraction Age 11 to 18
Age 11 to 18
This article gives a brief history of the development of Geometry.
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Patterns in Number Sequences
These resources are designed to get you thinking about number sequences and patterns.