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Arclets explained
This article gives an wonderful insight into students working on the Arclets problem that first appeared in the Sept 2002 edition of the NRICH website.
Angles in polygons
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problemDarts and kites
Age14 to 16Challenge level
Explore the geometry of these dart and kite shapes! -
problemIsosceles meld
Age11 to 14Challenge level
Weekly Problem 9 - 2012
What is the angle QPT in this diagram? -
problemStellar angles
Age11 to 14Challenge level
Weekly Problem 30 - 2013
What is the angle $x$ in the star shape shown? -
problemPegboard quads
Age14 to 16Challenge level
Make different quadrilaterals on a nine-point pegboard, and work out their angles. What do you notice? -
problemFirst forward into Logo 7: angles of polygons
Age11 to 18Challenge level
More Logo for beginners. Learn to calculate exterior angles and draw regular polygons using procedures and variables.
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problemFirst forward into Logo 9: stars
Age11 to 18Challenge level
Turn through bigger angles and draw stars with Logo.
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problemLOGO challenge 3 - star square
Age7 to 16Challenge level
Creating designs with squares - using the REPEAT command in LOGO. This requires some careful thought on angles
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problemLOGO challenge 4 - squares to procedures
Age11 to 16Challenge level
This LOGO Challenge emphasises the idea of breaking down a problem into smaller manageable parts. Working on squares and angles.
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problemPolygon cradle
Age11 to 14Challenge level
Weekly Problem 18 - 2007
A regular pentagon together with three sides of a regular hexagon form a cradle. What is the size of one of the angles?