Problems

Robinson Crusoe’s goat is tied to a single peg with one rope. Draw how Robinson should arrange pegs, ropes, a sliding ring, and a wolf so that the goat grazes in the shape of a half-circle.

Each number denotes the area of a rectangle it is written into. What is the area of the last rectangle? (That is, the yellow one)

Divide the trapezium into two parts such that they can be reassembled to make a triangle.

Which of the triangles has the smallest area?

In a square \(ABHI\) two smaller squares are drawn: \(ACFG\) with area \(16\) and \(BCED\) with area \(4\). Find the area of hexagon \(DEFGIH\).

Each of the small squares has an area of \(1\). What is the area of the triangle?

Divide the parallelogram into two parts such that they can be reassembled to make a triangle.

Charlie drew a triangle. Show a method of cutting this triangle into three parts which can then be reassembled into a rectangle - which works no matter what triangle he drew.

Each of the small squares has an area of \(1\). What is the area of the triangle?

Each number denotes the area of the rectangle it is written into. What number should be written where the “?" character is?