Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2016 Grade 7 Geometry
Problem

1) Find the perimeter of the figure to the nearest centimeter. Each circular section has a radius of 13 cm.

2) The ratio of the angles of a triangle is 4:7:9. What is the measure of largest angle?

3) In rectangle ABCD, X is the midpoint of segment AB and Y is the midpoint of segment CD. The area of the shaded portion is 5.75 square inches. What is the area of the rectangle ABCD?

Problem

4) A 110o section is taken from a circle with a radius of 4 inches and folded to create a cone by connecting the straight edges together. What is the radius of this cone? (Use 3.14 for pi)
(Round your answer to the nearest tenth of an inch)

5) In triangle XYZ, segment VW is parallel to XY. What is the measure of angle XVW?