Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2016 Grade 6 Geometry

Problem
1) A square can be split to make four smaller squares of equal sizes to completely fill the original square as shown. How would you split up the original square into six smaller squares that completely fill the original square without any overlaps of the smaller squares?
(The squares do not all need to be the same size.)

2) If the total surface area of a cube is 150 sq. cm., what is its volume?


Problem
3) In rectangle ABCD, X is the midpoint of CD and Y is the midpoint of AD. What percentage of the figure does the shaded area represent?
4) What is the sum of all the interior angles of an octagon?

5) How long is segment BC?