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Test Review Ratio/Rate/Similar Figures (proportion)
22 Nov 10 Test Review Ratio/Rate/Similar Figures (proportion)
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#1 On a map, the distance between San Antonio and Houston is 6 1/2 inches. If the scale of the map is 1/2 inch = 15 miles, about how long would it take the Garoni family to drive from Houston to San Antonio if they drove 60 miles per hour? (Hint: answer should be in hours and minutes.)
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1A
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#2 When projected onto a movie screen, the image from a film is 9 meters wide and 6.75 meters high. If the image from this same film is projected so that it appears 8 meters wide, what is the height of the projected image?
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2A
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#3 For every 7 people who say they floss daily, there are 18 people who say they do not. Write and solve a proportion to determine out of a total of 65 people how many you would expect to say they floss daily. (Hint: label the ratios and make sure the same thing is being compared on both sides of the equal sign.)
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3A
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#4 An 8 ounce serving of milk provides 30% of the daily value of calcium. How much milk provides 50% of the daily value of calcium?
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4A
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#5 An artist is measuring a rectangular canvas. Its length is 30 in. The distance from one corner of the canvas to the other (along the diagonal) is 34 in. What is the width?
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5A a2 + b2 = c2 302 + b2 = 342 900 + b2 = 1156 b2 = 256
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#6 Express 9 inches:3 yards as a ratio in simplest form.
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6A
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How tall is the flagpole?
#7 How tall is the flagpole?
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7A
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#8 Write a proportion to find the missing measure. Then solve.
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8A
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#9 Determine whether the pair of polygons is similar. Explain your reasoning.
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9A Proportional; Cross Products are Equal
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#10 The pair of polygons is similar. Write a proportion to find the missing measure. Then solve.
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10A
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#11 The Washington Monument casts a shadow 200 m long. At the same time, a nearby van that is 2.1 m high casts a shadow 2.5 m long. How tall is the monument? Draw and label a diagram. Write a proportion. Solve the proportion.
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11A
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#12 One of the models of a dinosaur used in the filming of a movie was only 15 inches tall. In the movie, the dinosaur appeared to have an actual height of 20 feet. What was the scale factor of the model?
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12A
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#13 Find the scale factor for each scale. a. 1 inch = 15 feet
b. 10 cm = 2.5 m
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13A
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#14 The top of a badminton net is 5 feet high. Ropes connect the top of each pole to stakes in the ground. The ropes are 8.5 feet long. What is the closest distance from a stake to the base of a pole?
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14A a2 + b2 = c2 a = 8.52 a2 +25 = 72.25 a2 = 47.25
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