What is the ratio of orange and green areas? (The orange triangle is 45-45-90)
Category: Beginner
Roly poly doll
Two circles with diameters (green and orange) from one of the intersection points. Show that the other intersection point of the circles is on the (purple dotted) line connecting the other ends of the diameters.
Flying purple people eater
What is the area of the purple people eater, in terms of the lengths AD and BC?
Mouth to mouth
What is the ratio of the blue and yellow lines?
Equal rights
Two squares sharing a vertex. Two vertices are connected by a line segment. What is yellow : green?
The boomerang
A quadrilateral and a triangle. What’s the angle α?
Running man
What is the area of the coloured figure? Can you determine the area without counting the number of squares in each different-coloured shape?
The lighthouse
A parallelogram and four equilateral triangles. What is yellow : green?
Tip of the veil
A square with two right angles. What fraction is yellow?
Some chords and segments inside a semicircle. What is the ratio of red to blue?