Two semicircles and two right triangles. What fraction of the large triangle does the small one cover?
Categories
Mars rover has landed
Categories
Two hefty volumes
Two congruent rectangles inscribed in a square. What fraction of the area is blue?
Categories
Ménage à trois
Three equilateral triangles of which two are congruent. Are the three points collinear?
Categories
The flying banner
A triangle with a quadrilateral that covers half its area. What is the angle?
Categories
Mini and Maxi
Two squares of area 1 and 4 are inscribed in their own triangle and placed as shown. What fraction is coloured?
Categories
Turning tables
Two squares share a vertex. What fraction of the area is the overlap region?
Categories
The observatory dome
A semicircle with a radius, a chord and an altitude. What is the angle?
Categories
The hanging door
Two congruent rectangles support a third rectangle. What fraction is blue?
Categories
The PowerPoint
A point lies 8 from the centre of a circle of radius 6. The angle α is variable. What’s the maximum triangle area?
Categories
The kids windmill
Six congruent equilateral triangles placed inside a regular hexagon. What fraction is coloured?