Problems

Age
Difficulty
Found: 1974

Is it possible to cover a \(6 \times 6\) board with the \(L\)-tetraminos without overlapping? The pieces can be flipped and turned.

Is it possible to cover a \((4n+2) \times (4n+2)\) board with the \(L\)-tetraminos without overlapping for any \(n\)? The pieces can be flipped and turned.

Is it possible to cover a \(4n \times 4n\) board with the \(L\)-tetraminos without overlapping for any \(n\)? The pieces can be flipped and turned.

Each number denotes the area of a rectangle it is written into. What is the area of the last rectangle?

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

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

If 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.

Cut a triangle into three parts, which can be reassembled into a rectangle.