Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2015 Grade 5 Geometry

Problem
1) Ahmed is trying to make a parallelogram on the given coordinate grid. A, B, C are three corners of the parallelogram. If he wants to complete the figure in quadrant III, where should the final point go?

2) What is the angle between the hour and minute hands of an analog clock at 3:30 pm?


Problem
3) The rectangle shown is divided evenly into squares. Each square has an area of 25 square centimeters. What is the perimeter of the rectangle?
4) Lenore is filling a box measuring 14 inches by 6 inches by 10 inches with cubes measuring 2 inches to a side. With the box standing at its tallest, she has filled one layer with the cubes. How many more cubes will she need to fill the box?

5) A 16 in x 16 in square piece of paper is folded in half to form a triangle. That triangle is folded in half again three more times. If the original paper has a side length of 16 inches, what is the area of the last triangle after folding?