Name: ______________________ Class: _________________ Date: _________ ID: A Competency 9 pretest Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. A boat builder wants to make a model of a schooner, a type of sailboat with at least two masts. The schooner is 34 meters in length and has a beam of 8 meters (the measure of the widest point of a ship). If the builder wants her model to be 1.2 meters in length, what would be the length of the beam of the model? a. 5.10 meters c. 0.70 meters b. 3.54 meters d. 0.28 meters ____ 2. A souvenir maker wants to create a scale model of the Empire State Building. The Empire State Building is 1472 feet tall and has a base with dimensions 286 ft meters by 286 ft. If the model is 6 in. tall, approximately what are the dimensions of its base in inches? a. 1.2 in. by 1.2 in. c. 0.2 in. by 0.2 in. b. 1 in. by 1 in. d. 2.3 in. by 2.3 in. ____ 3. Bob and his best friend Bill have the same birthday, but Bob is 3 years older than Bill. Let the variable x represent Bob’s age and y represent Bill’s age. Which equation describes the relationship between Bill’s age and Bob’s age? a. y = x/3 c. x = y + 3 b. y = x + 3 d. y = 3x ____ 4. Manny and Emma are both competing in a long jump competition at their school. Manny can jump four fifths of the distance that Emma can jump. Manny can jump 40 inches. How far can Emma jump? a. 40.8 inches c. 32 inches b. 50 inches d. 39.2 inches ____ 5. Steven wants to buy a $565 bicycle. Steven has no money saved, but will be able to deposit $30 into a savings account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give his sister $65 that he owes her. For how many weeks will Steven need to deposit money into his savings account before he can pay back his sister and buy the bike? a. 25 weeks b. 19 weeks c. 22 weeks d. 21 weeks ____ 6. Nina wants to download games for her video game console. Older games cost 250 points and new releases cost 500 points. Nina has 7500 points to use. The equation 250a + 500b = 7500, where a is the number of older games and b is the number of new releases, models the situation. How many older games can she download if she downloads five new games? a. 20 c. 17 b. 12 d. 40 ____ 7. What is the radius of a circle with circumference 17 mm? Round to the nearest tenth. Use 3.14 for p. a. 5.4 mm c. 26.7 mm b. 10.8 mm d. 2.7 mm ____ 8. What is the height of a triangle that has an area of 60 yd and a base with a length of 12 yd? a. 0.1 yd c. 5 yd b. 2.5 yd d. 10 yd 2 1 Name: ______________________ ID: A Find the area. The figure is not drawn to scale. ____ 9. a. 1188 in.2 b. 69 in.2 c. 138 in.2 d. 1440 in.2 a. 188 in.2 b. 278 in.2 c. 322 in.2 d. none of these ____ 10. Find the area of the trapezoid. Leave your answer in simplest radical form. ____ 11. a. 98 cm2 b. 91 cm2 c. 2 38.5 cm2 d. 11 cm2 Name: ______________________ ID: A ____ 12. Find the ratio of the perimeter of the larger rectangle to the perimeter of the smaller rectangle. a. 4 b. 3 3 c. 4 5 d. 3 11 9 Find the surface area of the cylinder in terms of p. ____ 13. a. 350p cm 2 b. 896p cm 2 c. 602 cm 2 d. 644p cm 2 Find the surface area of the pyramid shown to the nearest whole number. ____ 14. a. 165 ft 2 b. 95 ft 2 c. 3 70 ft 2 d. 28 ft 2 Name: ______________________ ID: A Find the volume of the given prism. Round to the nearest tenth if necessary. ____ 15. a. 580 ft 3 b. 567 ft 3 c. 4 576 ft 3 d. 488 ft 3 ID: A Competency 9 pretest Answer Section MULTIPLE CHOICE 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. D A C B D A D D A B B A A B C 1
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