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| 1 | |
A triangle has two exterior angles that add to 210°. What is the measure of the third exterior angle? |
| | A) | 30° |
| | B) | 120° |
| | C) | 150° |
| | D) | 170° |
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| 2 | |
In triangle PQR, the interior angle at P is 120°, and the exterior angle at Q is 140°. What is the measure of the exterior angle at R? |
| | A) | 160° |
| | B) | 150° |
| | C) | 140° |
| | D) | 120° |
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| 3 | |
A patio stone is in the shape of a regular hexagon. What is the sum of the exterior angles of the stone? |
| | A) | 180° |
| | B) | 360° |
| | C) | 540° |
| | D) | 1080° |
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| 4 | |
Cheryl has a ski chalet in the shape of an A-Frame, as shown. The second floor balcony joins the midpoints of the two sides. What is the length of the balcony?
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| | A) | 6 m |
| | B) | 4m |
| | C) | 3 m |
| | D) | 2 m |
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| 5 | |
Consider the diagonals of a parallelogram. Which of these is always true? |
| | A) | All of these are true. |
| | B) | The diagonals bisect the interior angles. |
| | C) | The diagonals meet at right angles. |
| | D) | The diagonals bisect each other. |
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| 6 | |
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Find the measure of angle x. |
| | A) | 125° |
| | B) | 115° |
| | C) | 105° |
| | D) | 75° |
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| 7 | |
A new coin is proposed to be a regular polygon with 13 sides. Find the sum of the exterior angles of the coin. |
| | A) | 180° |
| | B) | 360° |
| | C) | 1980° |
| | D) | 2340° |
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| 8 | |
When the mathematician Archimedes was attempting to find the ratio of the circumference of a circle to its diameter, he drew polygons inside and outside the circle. The biggest of these polygons is said to have had a sum of the interior angles equal to 736 920°. How many sides did the polygon have? |
| | A) | 1024 |
| | B) | 2048 |
| | C) | 4096 |
| | D) | 8192 |
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| 9 | |
Find the measure of each of the interior angles in the polygon in question#8. |
| | A) | 170° |
| | B) | 175° |
| | C) | 179° |
| | D) | 179.9° |
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| 10 | |
Kameha drew a parallelogram. He found the midpoints of each of the sides, and joined them. Then, he drew a diagonal for the interior parallelogram, forming two triangles. What is the ratio between the area of one of the triangles and the original parallelogram? |
| | A) | 1:4 |
| | B) | 1:3 |
| | C) | 1:2 |
| | D) | 4:1 |
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