Mathematics

Insert <, >, or = between each pair of numbers to form a true statement.

31. 0.463 _____ 0.46300

a. >

b.<

c. =

 

Arrange in order from smallest to largest. 32. 6.09, 6.9, 6.099, 6.999

a. 6.999, 6.9, 6.099, 6.09

b. 6.09, 6.9, 6.099, 6.999

c. 6.099, 6.09, 6.999, 6.9

d. 6.09, 6.099, 6.9, 6.999

 

Solve.

33. According to his ultra-precise scale, Jeremy gained 3.249 pounds in a three-month period. Round this amount off to the nearest hundredth.

a. 3.2 pounds

b. 3.25 pounds

c. 0.25 pounds

d. 3.26 pounds

 

Divide.
34. (2.24) divided by 7

a. 1.32

b. 13.2

c. 3.2

d. 0.32

35. (3.9732) divided by 516

a. 0.0077

b. 0.0087

c. 0.78
d. 0.77

 

36. (163.2186) divided by 2.8 Round to the nearest hundredth.

a. 58.33

b. 58.332

c. 58.29

d. 5.83

 

Solve.
37. 0.028 × n = 0.7

a. 24.8
b. 26
c. 25
d. 0.0196

Write as an equivalent decimal. If a repeating decimal is obtained, use notation such as 0.4, 0.23, or 0.567

38. 317/20

a. 3.85

b. 3.855

c. 3.85

d. 3.85

Simplify by using the order of operations. Round your answer to the nearest hundredth. 39. 2.9 + (13.9 – 3.8) ∙ 7.2

a. -38.36

b. 99.18

c. 75.62

d. 93.60

 

First round each number to one non-zero digit. Then perform the calculation using the rounded numbers to obtain an estimate.

40. 51.7 – 5.17

a. estimate: 45

b. estimate: 55

c. estimate: 54

d. estimate: 46

 

Round as indicated.

41. Round 25.4564 to the nearest hundredth.

a. 25.56

b. 25.36

c. 25.46

d. 25.44

 

Divide.
42. (0.00786) divided by 0.04

a. 0.201

b. 0.1965

c. 0.1977

d. 0.1974

 

Write the ratio in lowest terms. 43. 20:14

a. (7/10)

b. (20/14)

c. (14/20)

d. (10/7)

 

Write the following as a rate in lowest terms. 44. $685 for 20 rolls of film

a. ($137/20 rolls of film)

b. ($685/4 rolls of film)

c. ($5/20 rolls of film)
d. ($137/4 rolls of film)

 

Write the rate as a unit rate. 45. 8 cents for 4 marbles
a. 2 cents/marble

b. 0.5 cents/marble

c. 12 cents/marbles

d. 32 cents/marble

 

46. 420 people in 20 buses

a. 210 people/bus

b. 400 people/bus

c. 21 people/bus
d. 0.048 person/bus

 

Solve using a proportion. Round your answer to the nearest hundredth when necessary.

47. Find which is the better buy (lower cost per ounce) by finding each unit price rounded to three decimal places if necessary.

Jelly:
$1.41 for 6 ounces. $2.35 for 10 ounces

a. $2.35 for 10 ounces
b. $1.41 for 6 ounces
c. Both cost the same per ounce.

d. None of the above.

 

Write as a proportion.

48. If 60 pounds of potatoes is enough to feed 150 children, then 68 pounds should be the right amount for 170 children.

a. (60 pounds/150 children) = (170 children/68 pounds)

b. (150 children/60 pounds) = (68 pounds/170 children)

c. (60 pounds/150 children) = (68 pounds/170 children)

d. (60 pounds/170 children) = (68 pounds/150 children)

 

Solve each proportion for the given variable.

49. (n/22) = (6/11)

a. 12
b. 40c. 3
d. 24

 

50. (x/3.9) = (0.08/9) Round to the nearest hundredth.

a. 0.03
b. 438.75 c. 2.81
d. 28.85

 

Find the value of n. Round to the nearest hundredth if necessary.

51. (1200 revolutions/20 minutes) = (n revolutions/21 minutes)

a. 1134

b. 1260

c. 2.86

d. 25,200

 

52. (n pounds/4 kilograms) = (11.35 pounds/5 kilograms)

a. 8.63

b. 9.08

c. 2.84

d. 9.53

 

Solve using a proportion. Round your answer to the nearest hundredth when necessary.

53. On an architect’s blueprint, 1 inch corresponds to 12 feet. If an exterior wall is 68 feet long, find how long the blueprint measurement should be. Write answer as a mixed number if necessary.

a. 113/17 inches

b. 51 inches
c. 5inches

d. 68 inches

 

Solve.

54. In a survey of 100 people, 8 preferred relish on their hot dogs. What percent preferred relish?

a. 0.8%

b. 0.08%

c. 2/25%

d. 8%

 

Write as a decimal. 55. 0.079%

a. 0.00079

b. 7.9
c. 0.0079
d. 0.000079

 

Write the percent as a decimal.

56. In the last election Mr. Thomas received 0.2% of the vote.

a. 0.02

b. 2
c. 0.2
d. 0.002

 

Write as a fraction or as a mixed number

57. 50%

a. 5

b. 1/4

c. 1/2

d. 1

 

58. 171 3/7%

a. 171/7

b. 33/7

c. 6/7
d. 15/7

 

Solve. Round decimals to the nearest thousandth and percents to the nearest tenth of a percent. 59. Write the equivalent decimal and percent for (7/12).

a. 0.703;70.3%

b. 0.583;58.3%

c. 0.703;703%

d. 0.583;5.83%

 

Solve.
60. 37% of what is 74?

a. 0.5

b. 50
c. 2000

d. 200

 

61. A $210 camera is on sale at 5% off. How much will the camera cost?

a. $2089.50

b. $1.05
c. $199.50

d. $10.50

 

62. A stock broker is paid $600 per month plus 2% of the total sales of stocks that she sells. Last month Cora sold $68,000 worth of stock. What was her total income for the month?

a. $13,600

b. $1360

c. $14,200

d. $1960

 

63. Raya borrowed $10,000 to finish college at an interest rate of 6.5% per year. How much interest will Raya need to pay next year?

a. $10,650

b. $6500

c. $16,500

d. $650

 

Convert. When necessary, round the answer to two decimal places. 64. 2pounds = ____ ounces

a. 52

b. 44

c. 32

d. 45

 

Solve the problem.

65. Dennis is hosting a dinner party. His recipe calls for 4 ounces of chicken per person. If he is expecting 24 guests, how many pounds of chicken should he buy? Round your answer to two decimal places if necessary.

a. 1536 pounds

b. 96 pounds
c. 6 pounds
d. 12 pounds

 

66. A rectangular window is 3 feet 10 inches wide and 6 feet 9 inches tall. If the window needs to be sealed with insulation that costs $1.22 per inch, how much will it cost to insulate the perimeter?

a. $265.96

b. $309.88

c. $26.60

d. $319.15

 

Change to a convenient unit of measure and add. 67. 53 cm + 9 dm + 19 mm

a. 1449 cm

b. 144.9 cm

c. 243.9 cm

d. 81 cm

 

Write true or false for the statement.
68. A grown man might weigh 101 kilograms.

a. True

b. False

 

Perform the conversion. Round to the nearest hundredth when necessary. 69. 33 L to qt

a. 14.98 qt

b. 39.60 qt

c. 31.22 qt

d. 34.88qt

 

Convert as indicated. When necessary, round to the nearest tenth of a degree. 70. 230° F to degrees Celsius

a. 446° C

b. 145.6° C

c. 110° C

d. 95.8° C

 

Solve.

71. The flow rate of a safety discharge pipe at a dam is rated for a maximum of 204,000 gallons per hour. Convert this rate to pints per second. Round your answer to the nearest tenth. During a flood, the flow rate at the dam is measured as 428 pints per second. Could the safety discharge pipe safely handle this flow rate?

a. 226.7 pints per second; no

b. 214.8 pints per second; no

c. 566.7 pints per second; yes

d. 453.3 pints per second; yes

 

72. Brian and Heather drove 426 miles in 6 hours. What was their average speed in kilometers per hour? (Round your answer to the nearest whole number, if necessary.)

a. 686 km/hr

b. 44 km/hr

c. 114 km/hr

d. 71 km/hr

 

Perform the conversion. Round to the nearest hundredth when necessary. 73. 898 yd = ____ m

a. 821.13

b. 2945.44

c. 978.82

d. 273.89

 

Find the area of the rectangle or square. 75. Length = 0.53 m, width = 0.24 m

a. 0.2544 m to power of ((2))

b. 0.77 m to power of ((2))
c. 1.54 m to power of ((2))
d. 0.1272 m to power of ((2))

 

Find the perimeter and area of the rhombus. 76. The height is 8 m and the base is 17 m

a. P = 34 m, A = 68 m to power of ((2))

b. P = 17 m, A = 25 m to power of ((2))

c. P = 68 m, A = 136 m to power of ((2))

d. P = 136 m, A = 68 m to power of ((2))

 

Find the area of the trapezoid.
The height is 5 m and the bases are 7 m and 8 m.

a. 140 m to power of ((2))

b. 75 m to power of ((2))

c. 10 m to power of ((2))

d. 37.5 m to power of ((2))

 

Find the perimeter of the triangle.
An equilateral triangle whose side measures 8 mi

a. 23 mi

b. 32 mi

c. 24 mi

d. 16 mi

 

Find the diameter of a circle if the radius has the value given. 79. r = 22 ft

a. 44 ft
b. 1519.76 ft c. 69.08 ft
d. 11 ft

 

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