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Parallelogram in the Middle
Weekly Problem 27 - 2013
The diagram shows a parallelogram inside a triangle. What is the value of $x$?
Tangram Area
Weekly Problem 29 - 2008
The seven pieces in this 12 cm by 12 cm square make a Tangram set. What is the area of the shaded parallelogram?
Two Exterior Triangles
Weekly Problem 35 - 2009
Two equilateral triangles have been drawn on two adjacent sides of a square. What is the angle between the triangles?
U in a Pentagon
Weekly Problem 18 - 2008
The diagram shows a regular pentagon. Can you work out the size of the marked angle?
Triangle Split
Weekly Problem 50 - 2008
The lengths SP, SQ and SR are equal and the angle SRQ is x degrees. What is the size of angle PQR?
Right Angled Octagon
Weekly Problem 38 - 2008
A quadrilateral can have four right angles. What is the largest number of right angles an octagon can have?
Indigo Interior
The diagram shows 8 shaded squares inside a circle. What is the shaded area?
Triangle in a Hexagon
Weekly Problem 3 - 2009
What fraction of the area of this regular hexagon is the shaded triangle?
One or Two
The diagrams show squares placed inside semicircles. What is the ratio of the shaded areas?