Categories
Beginner

The snowy peak

A triangle is split in two. What is the blue area?

Categories
Advanced

The tortilla wrap

The edge of a circle is folded to touch a diameter. The tangency point lies 2 from the centre. Given that the fold has length 4, what was the circle area before folding?

Categories
Intermediate

The rolling mill

A rectangle with a semicircle, a quarter circle and a common tangent. What fraction is blue?

Categories
Beginner

Three stories

Six squares and a diagonal. What fraction is orange?

Categories
Intermediate

The holiday home

An isosceles triangle, a rectangle and two diagonals. What is the proportion green : blue?

Categories
Beginner

Darth Vader

A regular hexagon containing three diagonals and three congruent circular arcs. What fraction is black?

Categories
Intermediate

The triangle trio

Three triangles, one of which is right and one is isosceles, form a large triangle. Two side lengths are given. What fraction of the total area is red?

Categories
Beginner

The ragged mountain

A square containing three line segments of given length. What fraction is green?

Categories
Advanced

The birdwatcher

Two congruent circles and a right triangle inside a semicircle. What fraction is blue?

Categories
Beginner

The hammock

A square inscribed in a triangle. Two areas are given. What is the square’s area?