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Name: ________________________ Class: ___________________ Date: __________
ID: A
Unit III .......................................................Assessment Review ..................................................Part 3
Find the ratio of the area of the shaded region to
the area of the unshaded region. The figures are
composed of rectangles, squares, and right
triangles.
11.
0.8 5.6
=
0.9
y
12.
0.42 1.5
=
d
2.5
Find the value of x.
13.
x
5
=
9 x+4
1.
Find the unit rate.
926 cycles
30 sec
4.
110 mi
90 min
5.
$2.25
3 days
x+6
200
15. x% =
2x + 4
400
16. You are making almond milk. The recipe states that
you need 4 parts water for every 1 part almonds.
You used 16 cups of water and 2 bags of almonds.
How many cups of almonds are in each bag?
2.
3.
14. x% =
Given JKLMN ≅ VWXYZ, find the indicated
measure.
Write the equivalent rate.
6.
2 mi
? in.
=
1 min 1 min
17. m∠Y
18. m∠X
15 m
?m
7.
=
1 min 1 day
8.
19. YZ
$3.60 ? $
=
1 gal 1 pt
Solve the proportion.
9.
a 16.5
=
2
4.4
10.
4.5
90
=
13.5 w
1
Name: ________________________
ID: A
Given ∆ABE, ∆CDE, and ∆EFG are all similar,
find the indicated measure.
Use the following information. At a carnival,
you are playing a game in which you throw a
dart at the rectangular board shown. You must
throw the dart into the square region marked
with the "X" to win a prize. The dart has an
equal likelihood of landing at any point on the
rectangular board.
20. AB
21. FG
22. BE
23. EF
29. What is the probability that you win a prize?
24. A cereal company sells their cereal in three
different size boxes. All three boxes are similar.
Box A has a height of 12 inches, a width of 8
inches, and a depth of 4 inches. Box B has a height
of 10 inches, and Box C has a width of 6 inches.
What are the dimensions of Box B and Box C?
30. What are the odds in favor of you winning a prize?
31. About how many times would you expect to throw
the dart to win two prizes?
Use the following information. You roll a
6-sided number cube and a 10-sided number
decahedron.
1
miles. Use the
2
given map distance to find the actual distance.
A map has a scale of 1 inch : 2
25.
32. How many different possible outcomes are there
for the pairs of numbers rolled?
33. What is the probability that you roll the same
number on the cube and the decahedron?
1
in.
8
26. 3
Write the percent as a fraction in simplest form,
or write the fraction as a percent.
3
in.
4
34. 2.52%
A map has a scale of 1 centimeter : 150
kilometers. Use the given actual distance to find
the distance on the map.
35. 0.35%
36.
27. 1575 km
28. 30 km
1
11
Find the percent of the number.
37. 11% of 84
38. 0.15% of 220
Use a proportion to answer the question in
terms of y.
39. What number is 60% of 20y?
2
Name: ________________________
ID: A
40. 7y is 20% of what number?
48. How many more people chose the beach than the
mountains?
41. You are making cupcakes for a bake sale. So far,
you have made 60 cupcakes. Of those, 24 are
vanilla and 36 are chocolate. You want the
chocolate cupcakes to make up 70% of the total
number of cupcakes. Write and solve a proportion
to find the number of chocolate cupcakes that need
to be added.
Use a proportion or the percent equation to
answer the question.
49. What number is 128% of 30?
50. 1.02 is 2% of what number?
51. What percent of 9 is 12?
Write the percent as a decimal or the decimal as
a percent.
Find the new amount.
42. 100.85%
52. Increase 14 by 105% .
43. 0.0402
53. Decrease 36 by 75% .
Use a number line to order the numbers from
least to greatest.
44. 240%, 3,
54. You buy a sweater during a one-day sale for
$18.75. This amount is 75% of the original price of
the sweater. After the sale, the sweater will be back
to its original price. By what percent will the sale
price of the sweater increase in order for it to be
back to its original price?
7
5
, 200%, , 2.1
3
2
Evaluate the expression when t = 30.
Use the given information to find the original
price.
45. t% of 65
46. (t − 12)% of 4
55. Retail price: $72.25
Markup percent: 70%
Use the circle graph that shows the results of a
survey asking 450 people their favorite place to
vacation.
56. Sale price: $21.73
Discount percent: 18%
Find the unknown quantity for an account that
earns simple annual interest.
57.
47. How many people chose either the park or a
historic site?
58.
A = $1365.68, P = $860, r = 5.6%, t = ? years
3
A = $1342.85, P = ? , r = 3.5%, t = 2 years
ID: A
Unit III .......................................................Assessment Review ..................................................Part 3
Answer Section
1
8
3
2.
1
1.
13
cycles per minute
15
2
1 miles per minute
9
$.75 per day
126,720 in.
1 min
21,600 m
1 day
3. 30
4.
5.
6.
7.
8.
$.45
1 pt
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
7.5
270
6.3
0.7
5
6
2
2 cups
138°
90°
8 in.
10 m
7.5 m
16 m
12 m
24.
Box B: 10 in. × 6
2
1
in. × 3 in.
3
3
Box C: 9 in. × 6 in. × 3 in.
25.
26.
27.
28.
29.
5
mi
16
3
9 mi
8
10.5 cm
0.2 cm
1
30
1
ID: A
30.
31.
32.
33.
34.
35.
36.
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
1
29
60 times
60
1
10
63
2500
7
2000
1
9 %
11
9.24
0.33
12y
35y
20 chocolate cupcakes
1.0085
4.02%
7
5
200% , 2.1, , 240% , , 3
3
2
19.5
0.72
180 people
99 people
38.4
51
1
133 %
3
28.7
9
1
33 %
3
$42.50
$26.50
$1255
1
10 years
2
2