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1 | |
Which of the following angles always measures less than 90°?
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| | A) | an acute angle |
| | B) | a reflex angle |
| | C) | a right angle |
| | D) | a straight angle |
| | E) | the supplement of a 25° angle |
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2 | |
Look at the following illustration:
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If angle w = 62.5°, what is the measurement of angle z?
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| | A) | 27.5° |
| | B) | 62.5° |
| | C) | 92.5° |
| | D) | 117.5° |
| | E) | 137.5° |
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3 | |
A rectangular playground is 48 feet long and 21 feet wide. What is the distance in yards around the playground?
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| | A) | 42 yards |
| | B) | 46 yards |
| | C) | 56 yards |
| | D) | 96 yards |
| | E) | 138 yards |
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4 | |
The polar diameter of Earth is about 7,900 miles. (The diameter at the equator is a little more.) Latitude is a measure of the angular distance from the equator. The latitude of the equator is 0°, and the latitude of each pole is 90°. At Earth’s surface, how many miles are there in each degree of latitude? Round your answer to the nearest ten miles.
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| | A) | 70 miles |
| | B) | 60 miles |
| | C) | 50 miles |
| | D) | 45 miles |
| | E) | 40 miles |
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5 | |
Which of the following represents the area of a triangle with a base of 14 feet and a height of 12.5 feet?
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| | A) | 2(12.5) + 14 |
| | B) | 2(12.5) + 2(14) |
| | C) | 0.5 x 14 x 12.5 |
| | D) | 14 x 12.5 |
| | E) | 2 x 14 x 12.5 |
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6 | |
Find the surface area in square feet of a walkway that is 32 feet long and 42 inches wide.
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| | A) | 112 square feet |
| | B) | 134.4 square feet |
| | C) | 448 square feet |
| | D) | 1,224 square feet |
| | E) | 1,344 square feet |
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7 | |
One cubic foot contains 7.481 gallons. A cylindrical barrel has a diameter of 3 feet and a height of 4 feet. Approximately how many gallons of water can the barrel hold?
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| | A) | about 50 gallons |
| | B) | a little less than 70 gallons |
| | C) | a little over 100 gallons |
| | D) | about 150 gallons |
| | E) | a little over 200 gallons |
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8 | |
The vertex angle of an isosceles triangle measures 46°. What is the measurement of each base angle?
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| | A) | 44° |
| | B) | 67° |
| | C) | 76° |
| | D) | 88° |
| | E) | 92° |
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9 | |
A 15-foot tall flagpole casts a shadow that is 8 feet long. At the same time, a hickory tree casts a shadow that is 36 feet long. Which expression represents the height of the hickory tree?
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| | A) | 8 ÷ (15 x 36) |
| | B) | (8 x 36) ÷ 15 |
| | C) | (8 x 15) ÷ 36 |
| | D) | (15 x 36) ÷ 8 |
| | E) | 15 ÷ (8 x 36) |
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10 | |
For exercise, Ruth likes to walk. She lives in Chicago where many streets run directly north and south or east and west. Ruth walks with a pedometer, a device that calculates the distance she has walked. One day she decided to walk the perimeter of a large square. She walked 3 miles east. Then she turned and walked 3 miles south. A sudden rainstorm prevented her from completing the square. She had walked 6 miles when she called her husband to ask him to pick her up. To the nearest tenth of a mile, what was the straight-line distance from Ruth’s starting point when she stopped?
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| | A) | 4.2 miles |
| | B) | 6 miles |
| | C) | 7.2 miles |
| | D) | 8.4 miles |
| | E) | 12 miles |
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2002 McGraw-Hill Higher Education