Math

Multiple Choice
1. Write the ratio in the simplest form.

45:15 (1 point)
9:3
3:1
1:3
4:1
2. Solve the following proportion.

r over five equals nine over twenty-one (1 point)
r = 2.14
r = 9
r = 11.66
r = 37.8
3. Sarah’s mother has a miniature village modeled after her home town. The model is 10 feet long and 7 feet wide. The actual village is 7 miles long. What is the village’s actual width? If necessary, round to the nearest tenth of a mile. (1 point)
4.9 miles
10 miles
1 mile
0.7 mile
4. Find the unit rate for 306 miles in 10 hours. (1 point)
0.03 miles/hour
30.6 miles/hour
306 miles/hour
3,060 miles/hour
5. In 10 months, 62.6 gallons were used. Find the unit rate. (1 point)
0.16 gallons/month
10 gallons/month
6.3 gallons/month
626 gallons/month
6. On a recent day, one U.S. dollar was worth 0.81 euros. If you were to exchange 222 euros, how many U.S. dollars would you receive? (1 point)
$88.91
$274.07
$548.15
$179.82
7. The pair of polygons is similar. Find the value of x.

(1 point)
20 in.
15 in.
13 in.
2 in.
8. Two ladders are leaning against a wall at the same angle, as shown. How long is the short ladder?

(1 point)
20 ft
24 ft
30 ft
40 ft
9. The sides of a rectangle are increased by a scale factor of 4. The perimeter of the smaller rectangle is 20 cm. What is the perimeter of the larger rectangle? (1 point)
320 cm
80 cm
120 cm
60 cm
10. A right triangle has an area of 13 m2. The dimensions of the triangle are increased by a scale factor of 3. What is the area of the new triangle? (1 point)
39 m2
169 m2
117 m2
142 m2
11. Quadrilateral PQRS was dilated to produce quadrilateral P'Q'R'S' on the grid below.

What was the apparent scale factor of the dilation used to produce quadrilateral P'Q'R'S'?

(1 point)

12. The width of a picture is 20 cm. Using a color copier, you reduce the width of the picture to 5 cm. What is the scale factor of the dilation? (1 point)
5
1 over 5
4
1 over 4
13. On a given blueprint, 1 inch = 30 feet. If the dimensions of a meeting room on the blueprint are 1.5 inches × 1.25 inches, what are its actual measurements? (1 point)
4.5 ft × 3.75 ft
20 ft × 24 ft
45 ft × 37.5 ft
15 ft × 12.5 ft
14. Using a scale factor of 1 inch = 5 feet, what are the blueprint dimensions of a bedroom that is 12 feet × 18 feet? (1 point)
2.2 in. × 3.3 in.
2.4 in. × 3.6 in.
2.8 in. × 4.2 in.
2.9 in. × 5.0 in.
15. The scale of a map is 1 inch = 25 miles. How many miles does 1.25 inches represent? (1 point)
25 miles
31.25 miles
62.5 miles
49.25 miles
16. The ramp shown below is used to move crates of apples to loading docks at different heights. When the horizontal distance AB is 12 feet, the height of the loading dock, BC, is 6 feet. What is the height of the loading dock DE?

(1 point)
10 feet
12 feet
17 feet
18 feet

My Answers:1. C
2. A
3.A
4. B
5. C
6. D
7. C
8. B
9. D
10. D
11. B
12. A
13. B
14. A
15. B
16. B
am i right??

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  1. 1. no 3/1
    6. 222/.81 = 274
    7. no idea
    8. no idea, same ratio of sides of triangle
    9. 4*20 = 80
    10. 9 * 13 = 117
    11. no idea
    12. 5/20 = 1/4
    13. 1.5 * 30 = 45 !!!
    14. 12/5 = 2.4 !!!
    15. YES right 1.25 * 25 = 31.25
    16. No idea, similar triangles aging, same ratio of corresponding sides.

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  2. Wait is 2,3,4 and 5 right?

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