Decimals Test Questions & Answers Chapter 3

Chapter 03

Decimals

True/False Questions
 

1. A percent is the result of a number being expressed as a fraction of 100. 
True    False

2. 40% is 40 parts out of 1,000. 
True    False

3. To convert a decimal to a percent, the decimal point is moved two places to the left. 
True    False

4. .83 in percent equals 83%. 
True    False

5. .532 in percent equals 5.32%. 
True    False

6. .009 in percent equals .9%. 
True    False

7. .6% means 6/10 of 10%. 
True    False

8. .5% means 5/10 of 1%. 
True    False

9. Numbers greater than 1% in decimal will have at least two zeros in front of the number. 
True    False

10. 8/10 of 1% is equal to .008. 
True    False

11. To convert a decimal to percent, divide the number by 100. 
True    False

12. To convert a percent to a decimal, drop the percent sign and move the decimal point two places to the left. 
True    False

13. 72.4% in decimal equals .0724. 
True    False

14. 8 3/4% in decimal equals .00875. 
True    False

15. 6 1/2% in decimal equals .065. 
True    False

16. 1/4 in percent is equal to 250%. 
True    False

17. 3/20 in percent is equal to 15%. 
True    False

18. To convert a percent to fraction, attach the percent sign and divide by 1/100. 
True    False

19. 33% in fraction is 33/100. 
True    False

20. 1/7% converted to a fraction is 1/700. 
True    False

21. 139% in fraction is 1 39/1,000. 
True    False

22. 12 1/2% is equal in fraction to 3/8. 
True    False

23. 5 1/3% is equal in fraction to 4/75. 
True    False

24. The base of the portion formula represents the whole or 100%. 
True    False

25. The rate in the portion formula is always expressed with a percent symbol. 
True    False

26. The rate in the portion formula could be expressed as a percent, decimal, or fraction. 
True    False

27. The portion is sometimes expressed with a percent symbol. 
True    False

28. The portion can never be larger than the base. 
True    False

29. The portion is equaled to the base divided by the rate. 
True    False

30. A rate of 40% could be expressed as 2/5. 
True    False

31. In many problems the base is found before the word "of." 
True    False

32. The rate can be found by dividing the base into the portion. 
True    False

33. The base is calculated by dividing the portion into the rate. 
True    False

34. To calculate a percent increase, the portion is the missing element. 
True    False

35. A percent decrease can never be more than 50%. 
True    False

Multiple Choice Questions
 

36. To convert a decimal to a percent you: 
A. Move the decimal point two places to the left
B. Multiply by 100 and delete the percent symbol
C. Move the decimal point two places to the right and attach a percent symbol
D. Drop the decimal entirely
E. None of these

37. To convert a percent to a decimal: 
A. Drop percent symbol and move decimal two places to left
B. Attach percent symbol
C. Move decimal two places to right
D. Drop percent symbol and move decimal two places to right
E. None of these

38. To convert a percent to a fraction, which of the following is not done? 
A. Drop percent symbol
B. Divide by 1/100
C. Reduce to lowest terms
D. Multiply by 1/100
E. None of these

39. The rate in the portion formula is equal to: 
A. Portion divided by base
B. Base × portion
C. Portion divided by rate
D. Base × portion divided by 2
E. None of these

40. In the percent increase or decrease problems, the portion is: 
A. Original price
B. New price
C. 1/2 the original price
D. Amount of increase or decrease
E. None of these

41. .65 converted to percent is: 
A. .06%
B. 6.0%
C. 65.05%
D. 65%
E. None of these

42. 102% converted to decimal is: 
A. 10.20
B. 1.02
C. .0102
D. .00102
E. None of these

43. .0066% converted to decimal is: 
A. 6.6
B. .00066
C. .066
D. .000066
E. None of these

44. 93/100 converted to percent equals: 
A. .93%
B. 9.3%
C. .093%
D. 93%
E. None of these

45. 170% converted to a fraction equals: 
A. 170/1000
B. 17/10
C. 70/100
D. 7/10
E. None of these

46. 9 3/4% converted to a fraction equals: 
A. 39/400
B. 39/40
C. 390/400
D. 39/4,000
E. None of these

47. 160% of 1,825 is? (Round to nearest tenth.)
A. 1,140.63
B. 1,140.62
C. 1,104.63
D. 1,014.62
E. None of these

48. 750 is what percent of 900? (Round to nearest tenth of a percent.)
A. 16.6%
B. 16.66%
C. 83.33%
D. 83.3%
E. None of these

49. 1,440 is 120% of _________: 
A. 120
B. 1,200
C. 12,000
D. 1,728
E. None of these

50. An LCD flat screen TV at Best Buy increased in price from $900 to $1,200. What was the percent of increase? 
A. 3 31/3%
B. 50%
C. 60%
D. 70%
E. None of these

51. The price of a hairpiece was increased from $500 to $550. What was the percent of increase? 
A. 9.1%
B. 10%
C. 20%
D. 25%
E. None of these

52. The price of a iPod dropped from $299.99 to $180.55. What was the percent decrease in price? (Round to nearest hundredth percent.)
A. 39.82%
B. 39.81%
C. 39.80%
D. 39%
E. None of these

53. Pete Moran bought a Dell laptop computer priced at $699. He put down 30%. The amount of the down payment is: 
A. $207.90
B. $209.07
C. $209.70
D. $489.30
E. None of these

54. Lee Wong receives an annual salary of $65,000 from CVS Pharmacy. Today his boss informs him that he will be getting a $3,000 raise. The percent increase rounded to the nearest tenth of a percent is: 
A. 4.61%
B. 5%
C. 4%
D. 4.6%
E. None of these

55. Barnes & Noble bookstore ordered 800 art books. On verifying the order, only 160 books were actually received. The percent of the order missing was: 
A. 40%
B. 20%
C. 80%
D. 90%
E. None of these

56. Joyce Flynn, an insurance agent, earned in her first week on the job a commission of $1,800. Her commission percent is 30%. Joyce's total sales for the week were: 
A. $3,000
B. $6,000
C. $600
D. $300
E. None of these

57. The sales tax in Bill's state is 6%. Bill bought a Scion having a sales tax of $820. What was the cost of the car? Round to the nearest dollar. 
A. $13,666
B. $13,667
C. $13,665
D. $13,668
E. None of these

58. Bill Space gets a hit 3 out of each 10 times at bat. The percent of the times he fails to get a hit is: 
A. 30%
B. 10%
C. 70%
D. 20%
E. None of these

59. At the Boston Children's Museum, it was estimated that 38% of all visitors are from in state. On Saturday, 8,000 people attended the museum. What is the number of out-of-state people in attendance? 
A. 3,040
B. 3,404
C. 4,960
D. 4,690
E. None of these

60. Jim Debt was reviewing the total accounts receivable. This month he received $80,000 from credit customers. This represented 40% of all receivables due. The total amount of accounts receivable is: 
A. $200,000
B. $320,000
C. $500,000
D. $230,000
E. None of these

61. Joe Company in 2013 had sales of $800,000. In 2014 sales were up 75%. Calculate the sales for 2014. 
A. $140,000
B. $1,400,000,000
C. $1,400
D. $1,400,000
E. None of these

62. Granite College has 1,200 female students. This represents 40% of the total student body. The number of male students at Granite is: 
A. 700
B. 500
C. 480
D. 710
E. None of these

63. Lee, the manager of Lexington soccer team, was trying to figure the percent of games the team lost this season. Their record was 30 wins and 10 losses. What percent of the soccer games did they lose? 
A. 20%
B. 75%
C. 80%
D. 25%
E. None of these

64. Mel Company has a net income, before taxes, of $95,000. The treasurer of the company estimates 45% of net income will have to be paid for federal and state taxes. The tax for both federal and state is: 
A. $21,111
B. $42,750
C. $42,560
D. $47,250
E. None of these

65. .616 converted to a percent is:

A. 6.16%

B. .0061%

C. .616%

D. 61.6%

E. None of these

66. 1,620 is 120% of ______:

A. 13

B. 135

C. 1,350

D. 13,500

E. None of these

67. Ford Motor Company sells the Fusion SES for $24,400. The Fusion Hybrid sells for $29,975. What is the percentage increase in price for the Hybrid over the Fusion SES?

A. 1.23%

B. 122.9%

C. 22.9%

D. 22%

E. None of these

68. Jamie earned $25,000 as an early childhood teacher in the Lindbergh school district. She was promoted to a sixth grade teaching position that included an 80% raise. What will she earn as a new sixth grade teacher?

A. $45,000

B. $31,250

C. $20,000

D. $65,000

E. None of these

69. In Professor Shannon’s economics class there are 12 male students. Females represent 60% of the class total. How many students does Professor Shannon have in his economics class?

A. 7

B. 17

C. 33

D. 30

E. None of these

Short Answer Questions
 

70. 1. Base
2. Rate
3. Percent decrease
4. Percent increase
5. Portion
6. Hundredth %
7. Base larger than portion
8. Portion larger than base
9. Fractional percent
10. Less than 1%
A. Rate greater than 100%
B. .008
C. The whole
D. Not a percent
E. Not a whole number
F. Portion is amount of dollar increase
G. Rate less than 100%
H. Portion is amount of dollar decrease
I. 33 1/3%
J. Two places to right of decimal and followed by a percent symbol.
Answer: 1.C, 2.E, 3.H, 4.F, 5.D, 6.J, 7.G, 8.A, 9.I, 10.B

Feedback: Review your notes on terminology and vocabulary related to this material. 

71. Convert to percent:
.005 

72. Convert to percent:
7.853 

73. Convert to decimal:
1/5% 

74. Convert to decimal:
5 3/4% 

75. Convert to percent (to nearest tenth of a percent):
5/6 

76. Convert to percent:
4/5 

77. Convert to fraction (round to lowest terms as needed):
1/8% 

78. Convert to fraction (round to lowest terms as needed):
81 1/4%. 

79. Solve for portion:
12% of 600 

80. Solve for portion:
40% of 12,000 

81. Solve for rate (round to nearest tenth percent):
66 is ________% of 900 

82. Solve for base (round to nearest tenth):
67 is 30% of _______ 

83. The price of a hamburger increased from $1.10 to $1.59. What percent did the price increase? (Round to nearest hundredth or hundredth percent as needed.) 

84. Juan Sevez buys a new computer priced at $650. He makes a down payment of 15%. How much of the purchase is not paid for? (Round to nearest hundredth or hundredth percent as needed.) 

85. In 2014, the cost of electricity at Pete's Diner increased by 25%. In 2013, the cost to Pete was $410.50. What is the total cost of electricity to Pete in 2014? (Round to nearest hundredth or hundredth percent as needed.) 

86. Of 3,600 students surveyed, 40% eat cold pizza for breakfast. How many students do not eat cold pizza for breakfast? (Round to nearest hundredth or hundredth percent as needed.) 

87. Natalie Five puts down $800 on a car. Natalie still owes 90% of the purchase price. What was the price she bought the car for? (Round to nearest hundredth or hundredth percent as needed.) 

88. Convert the following decimal to percent:
.193 

89. Convert the following decimal to percent:
.9 

90. Convert the following decimal to percent:
15.82 

91. Convert the following decimal to percent:
7 

92. Convert the following percent to a decimal:
12% 

93. Convert the following percent to a decimal:
2.48% 

94. Convert the following percent to a decimal:
400% 

95. Convert the following percent to a decimal:
1/4% 

96. Convert the following fraction to percent. (Round to the nearest tenth percent.)
1/7 

97. Convert the following fraction to percent. (Round to the nearest tenth percent.)
6/7 

98. US Airways has a net income before taxes of $60,000. It is expected that 45% of the net income will go to federal and state taxes. How much will US Airways have left? 

99. IUB Corporation projected a year end net income of $80,000. This net income represented 15% of projected annual sales. What are IUB's projected annual sales? (Round to nearest dollar.) 

100. North Conway Ski Shop ordered 300 pairs of skis. When the shop received the order, 60 pairs of skis were missing. What percent of the order did the shop receive? 

101. Joy Lindman, who works for GE, receives an annual salary of $35,000. Today she was informed by her boss that she will be receiving a $3,000 raise. What percent of her old salary is the $3,000 raise? (Round to nearest hundredth percent.)

102. The price of a Delta Airlines ticket from New York to Orlando increased to $450. This is an 8% increase. What was the old fare to the nearest cent? 

103. Ray Jene earns $900 a week at a Publix supermarket. Ray's payroll deductions are 28%. What is Ray's take-home pay? 

104. Joyce Clark is reviewing the accounts receivable of Moe's Hardware. Credit customers paid $80,000 this month. This represents 30% of all receivables due. What is Moe's total accounts receivable? (Round to the nearest dollar.) 

105. Convert .194 to a percent:

106. 9.15% in decimal is equal to: 

107. Convert .895 to a percent: 

108. Convert 12/13 to a percent (round to hundredth percent): 

109. Convert 14/15 to a percent (round to hundredth percent): 

110. Convert 18.54% to a fraction (reduce): 

111. 80% of what number is 50? 

112. 900 is what percent of 3,600? 

113. 22% of 80 is what? 

114. 42% of 900 is what? 

115. 200 is what percent of 1,000? 

116. 60% of what number is 180? 

117. Complete:    

118. Complete:
   

119. 150 is 60% of _____? 

120. 21 is 6% of _____? 

121. 800 is 5 1/4% of _____ (round to nearest tenth)? 

122. 1,200 is 55 1/4% of _____? 

123. Out of 3,000 students surveyed, 600 preferred cheese pizza over mushroom. What percent of students preferred cheese pizza? 

124. Out of 5,000 students surveyed, 1,000 preferred diet drinks over sugared sodas. What percent preferred sugared sodas? 

125. Bonnie's Bookstore ordered 200 business math texts. Only 50 have arrived to date. What percent of the order is missing? 

126. Alvin's Bookstore ordered 300 marketing texts. To date only 30 texts have arrived. What percent has been received? 

127. Bill Blum bought a dozen hamburgers at Von's Drive-In and was charged a meal tax of $.80. The tax rate is 5%. How much was the cost of the dinner before tax? 

128. Mel's Hardware ordered 80 rakes. When the order was received, 20 rakes were missing. What percent of the order was received? 

129. At Y University, it is estimated that 42% of all students are from out of state. The current enrollment is 1,400. What is the number of in-state students? 

130. Earl Miller receives an annual salary of $30,000. Today, his boss, Jay, informs him he will be getting a $3,500 raise. What percent of his old salary is the $3,500 raise? (Round answer to nearest hundredth percent.) 

131. The cost of a video game increased in price from $20 to $39. What was the percent of the increase? 

132. The price of a calculator decreased from $60 to $15. What was the percent of the decrease? 

133. The sales tax in Massachusetts is 5%. Joanne bought a wood stove with a sales tax of $15. What was the cost of the wood stove before tax? 

134. Amy Gridley earns a gross pay of $500. If payroll deductions are 28%, what is her take-home pay? 

135. At the end of the season, the Marblehead Indians had 18 wins and 4 losses. What percent of the games did the team win? (Round to the nearest hundredth percent.) 

136. Mel Rickter is reviewing the total accounts receivable. This month, he received $45,000 from credit customers. This represented 25% of all receivables due. What is the total amount of Mel Rickter's accounts receivable? 

137. At Acorn College the tuition has increased 20% for each of the last two years. If tuition this year is $6,000, what was the tuition two years ago? (Round all answers to nearest dollar.) 

138. In the North Shore Community College in 2014, the total student body was 5% more than in 2013. The enrollment in 2011 was 4,200, which was 5% more than in 2013. How many students attended the college in 2013? (Round answer to nearest whole number.) 

139.  Convert to a decimal:

1/6%

140. 22 is 72% of _____ (round to the tenth):

141. Merck Company has downsized by firing 22,386 employees because of prolonged recessionary conditions. This represents 18% of its global workforce. What was the total global workforce before the layoffs?

142. Dierberg’s meat department’s annual sales per store were $485,000. Sales for next year are expected to rise by 32%. What are the forecasted sales for the meat department next year?

143. Ann earns $3,900 per month as a gym teacher in California. Her state, local, and federal taxes represent 53% of her monthly gross income. What amount does Ann take home after taxes are deducted from her salary?