Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2015 Grade 5 Geometry
Problem
1) Determine the total number of squares in this figure.

2) A rectangular wooden box measuring 3 in x 5 in x 7 in is immersed in black paint and then cut into 1 in cubes. What fraction of the resulting cubes will have no paint on any of the faces?

3) A three-dimensional object can be represented by different perspectives: from above (Top view), from the front (Front view), and from the side (typically, Right Side view). This figure shows you an arrangement of cubes. What is the greatest number of cubes that could be in the arrangement shown?

Problem

4) The perimeter of a rectangle is 122 feet. The lengths of its sides are whole numbers of feet. What is the greatest area the rectangle can encompass?

5) Angle A is 5/9th the measure of angle C.
Find the measure of angle B.