WASHINGTON STATE MATHEMATICS COUNCIL 2000 MIDDLE SCHOOL MATH OLYMPIAD Session II: EIGHTH GRADE GEOMETRIC SENSE Make sure you include proper units in your answer!

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1.

Draw a right triangle that has the same area as the figure at right. Label the lengths of the two legs.

2. What is the maximum number of cubes measuring 5 cm on an edge that can be obtained by cutting a solid cube that measures 1 m on edge?

3. Show how to plant 14 roses in 7 straight rows with 4 roses in each row. (Note: In addition to 7 rows of 4 roses, other rows of other sizes may be visible.)

(Ask for graph paper if it would help you to work on this problem.)

4.

Triangle A is similar to triangle B. Find the perimeter of triangle A to the nearest whole unit.

5. The total surface area of a closed circular cylinder is mπ sq. in. If the cylinder is 5 in. tall and 4 in. in diameter, what is the value for m?