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Contemporary's GED Mathematics

Basic Geometry

# Chapter Review Quiz

## Directions:

Choose the best answer to each problem. Use any formulas that you need on page 439 in Contemporary’s GED Mathematics. You may also refer to pages 223–280 if you need additional help. When you have finished the quiz, click on Submit Answers to receive feedback and results. You may also choose to e-mail your results to your instructor.

 1 Which of the following angles always measures less than 90°? A) an acute angle B) a reflex angle C) a right angle D) a straight angle E) the supplement of a 25° angle 2 Look at the following illustration: (4.0K) If angle w = 62.5°, what is the measurement of angle z? A) 27.5° B) 62.5° C) 92.5° D) 117.5° E) 137.5° 3 A rectangular playground is 48 feet long and 21 feet wide. What is the distance in yards around the playground? A) 42 yards B) 46 yards C) 56 yards D) 96 yards E) 138 yards 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. A) 70 miles B) 60 miles C) 50 miles D) 45 miles E) 40 miles 5 Which of the following represents the area of a triangle with a base of 14 feet and a height of 12.5 feet? 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 6 Find the surface area in square feet of a walkway that is 32 feet long and 42 inches wide. A) 112 square feet B) 134.4 square feet C) 448 square feet D) 1,224 square feet E) 1,344 square feet 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? 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 8 The vertex angle of an isosceles triangle measures 46°. What is the measurement of each base angle? A) 44° B) 67° C) 76° D) 88° E) 92° 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? 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) 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? A) 4.2 miles B) 6 miles C) 7.2 miles D) 8.4 miles E) 12 miles