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1. |
Express the ratio 18 inches to 2 feet in simplest form. |
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A. |
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B. |
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C. |
9 |
D. |
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Hint |
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2. |
Express the ratio 6 cups to 40 cups in simplest form. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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3. |
In a recipe, 3 cups of fruit serves 5 people. How many cups of fruit would serve 100 people? |
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A. |
80 cups |
B. |
70 cups |
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C. |
90 cups |
D. |
60 cups |
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Hint |
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4. |
Similar triangles must have the same ______. |
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A. |
shape |
B. |
size |
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C. |
right angles |
D. |
size and shape |
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Hint |
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5. |
The average human heart beats 72 times in 60 seconds. How many times does it beat in 45 seconds? |
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A. |
96 times |
B. |
84 times |
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C. |
54 times |
D. |
30 times |
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Hint |
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6. |
A guy wire is attached to the top of a telephone pole and goes to the ground 8 feet from the base. When Jim stands under the guy wire so that his head touches it, he is 3 feet from where the wire goes into the ground. If Jim is 6 feet tall, how tall is the telephone pole? |
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A. |
16 feet |
B. |
20 feet |
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C. |
24 feet |
D. |
12 feet |
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Hint |
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7. |
Assume the triangles are similar. What is the value of x? |
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A. |
5 |
B. |
3.2 |
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C. |
10 |
D. |
20 |
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Hint |
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8. |
On a map with a scale of 1 inch = 80 miles, the distance between two towns is 4 inches. If a person travels 65 miles per hour, how long will it take to travel from one town to the other? |
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A. |
about 12 hours
and 30 minutes |
B. |
about 5 hours
and 20 minutes |
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C. |
about 4 hours
and 55 minutes |
D. |
about 16 hours
and 15 minutes |
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Hint |
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9. |
If the actual distance between two airports is 375 kilometers and the distance on a map is 8 centimeters, what is the scale for the map? |
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A. |
1:4,687,500 |
B. |
1:468,750 |
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C. |
1:46,875 |
D. |
1:4,687.5 = 2:9,375 |
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Hint |
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10. |
Graph  with vertices A(1, 2), B(4, 1), C(5, 3). Graph the image of with a scale factor of 2. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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11. |
Rectangle A has dimensions 17.5 cm by 22.9 cm. Rectangle B has dimensions 4.375 cm by 5.725 cm. Are the two rectangles similar? Why? |
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A. |
Not enough information given |
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B. |
Yes, all rectangles are similar. |
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C. |
No, because the ratios of the corresponding sides are not the same. |
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D. |
Yes, because the ratios of the corresponding sides are the same. |
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Hint |
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12. |
A projector displays an image from 35-millimeter film onto a screen that is 10 meters wide. What is the scale factor? |
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A. |
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B. |
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C. |
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D. |
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Hint |
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13. |
The owner of a house graphed the value of her home starting in 1997. Find the rate of change in value from 2000 to 2003. |
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A. |
$1,500 per year |
B. |
$1,000 per year |
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C. |
$500 per year |
D. |
$4,500 per year |
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Hint |
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14. |
The graph shows the change in the number of poodles registered with the American Kennel Club. Find the rate of change in number of poodles registered from 2000 to 2002. |
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A. |
-6,000 poodles per year |
B. |
-12,000 poodles per year |
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C. |
-3,000 poodles per year |
D. |
-4,500 poodles per year |
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Hint |
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15. |
The graph shows the distance traveled by some hikers. Interpret the meaning of the slope as a rate of change. |
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A. |
The hikers have traveled a total of 3 miles. |
B. |
The hikers are traveling at a rate of 6 miles per hour. |
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C. |
The hikers are traveling at a rate of 3 miles per hour. |
D. |
The hikers have traveled a total of 6 miles. |
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Hint |
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16. |
Kata has a part time job. The graph shows the amount she makes. Interpret the meaning of the slope as a rate of change. |
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A. |
Kata earns $10 per hour. |
B. |
Kata earns $10 for her work. |
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C. |
Kata earns $30 for her work. |
D. |
Kata earns $30 per hour. |
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Hint |
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