Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2017 Grade 7 Geometry
Problem

1) How many cubes with a 3 inch side would fit in a box with dimensions 12 inches by 15 inches by 9 inches?

2) What is the measure of angle x? (not drawn to scale).

3) ABCD is a square with side length 20 inches. A, B, C, and D are all the centers of 4 congruent circles that touch each other as shown in the picture. Find the area of the shaded region. Round your answer to the nearest whole number.

Problem

4) In triangle ABC, Angle A's measure is twice angle B's measure. Angle C's measure is 41⁄2 times A's measure. What is the measure of angle A?

5) Which shape has the greatest volume? (not drawn to scale)