Skip to content / Đến nội dung
ThichHocToan.com

IMSO 2015 — Math Division — Exploration Question 4

IMSO Maths · IMSO 2015 — Math Division — Exploration

Question 4

The diagram shows nine pieces of puzzles, including one that has the shape that looks like the letter P, and one that looks like the letter U. All nine pieces may be rotated or reflected.

Question illustration

(a) Consider the two diagrams below. The diagram on the left shows a $5\times5$ square with a hole in the shape of the letter U. The one on the right shows the double-sized letter U. Choose five different pieces, including the P-shaped one, to construct each of the diagrams. Find one solution for each diagram.

Question illustration

(b) Consider the other two diagrams below. This time, the diagram on the left shows a $5\times5$ square with a hole in the shape of the letter P. The one on the right shows the double-sized letter P. Choose five different pieces, including all four pieces which are not used in (a) to construct each of the diagrams. Find one solution for each diagram.

Question illustration