
2D shapes and their properties
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problemThe diagram shows two semicircular arcs... What is the diameter of the shaded region?
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problem
Hexapentagon
Weekly Problem 53 - 2007
The diagram shows a regular pentagon and regular hexagon which overlap. What is the value of x? -
problem
Like a circle in a spiral
A cheap and simple toy with lots of mathematics. Can you interpret the images that are produced? Can you predict the pattern that will be produced using different wheels? -
problem
Spirostars
A spiropath is a sequence of connected line segments end to end taking different directions. The same spiropath is iterated. When does it cycle and when does it go on indefinitely? -
problem
2 rings
The red ring is inside the blue ring in this picture. Can you rearrange the rings in different ways? Perhaps you can overlap them or put one outside another?
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problem
Triangular hexagons
Investigate these hexagons drawn from different sized equilateral triangles. -
problem
LOGO challenge 12 - concentric circles
Can you reproduce the design comprising a series of concentric circles? Test your understanding of the realtionship betwwn the circumference and diameter of a circle.
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problem
LOGO challenge 11 - more on circles
Thinking of circles as polygons with an infinite number of sides - but how does this help us with our understanding of the circumference of circle as pi x d? This challenge investigates this relationship.
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problem
Torn shapes
These rectangles have been torn. How many squares did each one have inside it before it was ripped?
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problem
Trapezium four
The diagonals of a trapezium divide it into four parts. Can you create a trapezium where three of those parts are equal in area?