TEST: Describing and Comparing Percentages
46 multiplechoice questions. [Version 1c].
Fill in your name, class or place, date and start time.
After you finish, fill in your end time. Calculate your test time in minutes (End time minus Start time).
Name 

Date 

Class/Place 

Start Time 

Score 

Test Time 

End Time 

 What grade are you currently in (or the highest completed)?
a. 16 (Jr. High)... b. 912 (High School)... c. 1314 (College)... d. 1516 (College)... e. Grad School
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 What of these is the highest math course you have completed?
a. Arithmetic (18)... b. High school algebra... c. College algebra... d. College Calculus or Finite Math
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 What is your gender?
a. male ... b. female
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 How would you rate your math ability for your level of education?
a. very good ... b. quite good ... c. average ... d. poor ... e. very poor
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 Do you typically need to use a calculator to do arithmetic (add, subtract, multiply and divide)?
a. always ... b. mostly ... c. sometimes ... d. seldom ... e. never
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 Do you think you know how to calculate a percent?
a. definitely ... b. probably ... c. possibly ... d. doubtful ... e. no way.
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 Do you know how to calculate a percentage change?
a. definitely ... b. probably ... c. possibly ... d. doubtful ... e. no way.
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 Do you know the meaning of "times as much as"?
a. definitely ... b. probably ... c. possibly ... d. doubtful ... e. no way.
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 Do you know the meaning of a percentage point?
a. definitely ... b. probably ... c. possibly ... d. doubtful ... e. no way.
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*** FRONT SIDE OF SCANTRON
 What is 30% of 70?
a. 21 …b. 42 …c. 73 …d. 100 …e. None of these
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 What is 30% more than 70?
a. 21 ... b. 42 ... c. 91 ... d. 100 ... e. None of these
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 What is three times as much as 70?
a. 70 ... b. 140 ... c. 210 ... d. 280 ... e. None of these
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Suppose there are 20 males and 30 females in a group.
 The number of males is ____ than the number of females.
a. 10 more ... b. 10 less ... c. None of these or can't tell from this data.
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 The percent of females in this group is ____.
a. 30% ... b. 60% ... c. 20% ... d. 67% ... e. None of these or can't tell from this data.
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 As a percent, the number of females is _________ than the number of males.
a. 10% more ... b. 20% more ... c. 50% more ... d. 50% less ... e. None of these
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Suppose that sales two years ago were $80,000 and the profit was 20% of the sales.
 In dollars, what were the profits for that year
a. 20% ... b. $160 ... c. $1,600 ... d. $16,000 ... e. None of these.
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Suppose that sales last year were $100,000 and expenses were 120% of sales.
 In dollars, what were the expenses for that year?
a. 120% ... b. $120 ... c. $120,000 ... d. $1,200,000 ... e. None of these.
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Suppose that sales last year were $100,000 and sales this year were $300,000.
 In percent, sales increased by ___________.
a. 100% ... b. 200% ... c. 300% ... d. 67% ... e. None of these.
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 As a ratio, sales this year were ___________ sales last year.
a. two times as much as ... b. three times more than ... c. three time as much as ... e. None of these
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Suppose that sales last year were $100,000 and sales this year were $80,000.
 In percent, sales this year decreased by ___________ as compared to last year.
a. 20% ... b. 25% ... c. 80% ... d. 75% ... e. None of these.
.
 As a ratio, sales this year were ___________ sales last year.
a. 80% of ... b. 20% of ... c. None of these
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Suppose that an interest rate last year was 10%. This year the same rate was 15%.
 As a percent, the rate this year is _________ than the rate for last year.
a. 5% more ... b. 5% less ... c. 50% more ... d. 50% less ... e. None of these
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 As a difference, the rate this year is _________ than the rate last year.
a. 5% more ... b. 5 percentage points more ... c. None of these
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 As a ratio, the rate this year is _________ as much as the rate last year.
a. 1.5 times ... b. 50% ... c. twothirds ... d. half ... e. None of these
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Suppose there were 60 deaths among 5,000 males and 40 deaths among 4,000 females.
 What is the rate of deaths among males?
a. 60 per 100,000 ... b. 120 per 100,000 ... c. 1,200 per 100,000 ... d. None of these
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 What is the rate of deaths among females per 100,000 females?
a. 40 per 100,000 ... b. 100 per 100,000 ... c. 1,000 per 100,000 ... d. None of these
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 As a difference, the death rate of males is __________ than that of females.
a. 20 more ... b. 20 more per 100,000 ... c. 200 more per 100,000 ... d. None of these
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 As a percent, the death rate of males is ___________ than that of females?
a. 20% more ... b. 20% less ... c. 200 more ... d. 20 more ... e. None of these
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 As a ratio, the death rate of males is ___________ the death rate of females.
a. 1.2 times as much as ... b. 1.2 times more than ... c. None of these
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Using this table, answer the following questions.
COUNTS 
runners 
nonrunners 
Total 
males 
4 
36 
40 
females 
16 
44 
60 
Total 
20 
80 
100 
 How many males are runners?
a. 4 ... b. 16 ... c. 36% ... d. 44 ... e. None of these of can't tell from this data
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 What percentage of males are runners?
a. 4% ... b. 10% ... c. 20% ... d. 25% ... e. None of these or can't tell from this data
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 What is the percentage of males?
a. 4% ... b. 10% ... c. 36% ... d. 40% ... e. None of these or can't tell from this data
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 As a difference, the number of males who run is _____ than the number of females who run.
a. 12 greater ... b. 12 less ... c. 32 greater ... d. 28 less ... e. None of these or can't tell
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 The number of male runners is ________ the number of males who run.
a. the same as ... b. 12 less than ... c. 32 greater than ... d. 28 less than ... e. None of these or can't tell
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 In comparing runners and nonrunners, which of the following is true?
a. The number of runners is 60 greater than the number of nonrunners.
b. The number of nonrunners is 60 less than the number of runners.
c. The number of nonrunners is 60 greater than the number of runners.
d. None of these or more than one of these.
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 In comparing males and females, which of the following is true?
a. The number of females is 20% greater than the number of males.
b. The number of females is 20% less than the number of males.
c. The number of females is 50% greater than the number of males.
d. The number of females is 50% less than the number of males.
e. None of these or more than one of these.
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 In comparing runners and nonrunners, which of the following is true?
a. There are two times as many nonrunners as [there are] runners
b. There are onefourth as many nonrunners as [there are] runners
c. There are four times as many nonrunners as [there are] runners
d. There are four times more nonrunners than [there are] runners
e. None of these or more than one of these.
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Use this table to answer the following questions:
PERCENTS 
Smokers 
nonsmokers 
Total 
Males 
40% 
70% 
50% 
Females 
60% 
30% 
50% 
Total 
100% 
100% 
100% 
 Which of the following best describes the 40% in the upper lefthand corner cell?
a. 40% of these subjects are malesmokers.
b. 40% of these subjects are males.
c. 40% of these males are smokers.
d. 40% of these smokers are males.
e. None of these or we can't answer this question from this table.
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 What is the percentage of males?
a. 40% ... b. 60% ... c. 50% ... d. 70% ... e. None of these or can't tell.
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 What is the percentage of smokers?
a. 40% ... b. 60% ... c. 100% ... d. 50% ... e. None of these or can't tell.
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 What is the percentage of smokers who are male?
a. 40% ... b. 70% ... c. 80% ... d. 50% ... e. None of these or can't tell.
.
 What is the percentage of males who are smokers?
a. 40% ... b. 70% ... c. 80% ... d. 50% ... e. None of these or can't tell.
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 The percentage of males is ___________ among nonsmokers than [among] smokers.
a. 30% greater... b. 30% less... c. 30 percentage points greater... d. 75% less... e. None of these
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 The percentage of smokers who are male is _____ the percentage of nonsmokers who are male.
a. 30% greater... b. 30% less... c. 30 percentage points greater... d. 75% less... e. None of these
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Use this table to answer the following questions.
Suppose these are rates of accidental deaths per year.
Rate per 100,000 
Whites 
NonWhites 
Total 
Males 
75 
150 
90 
Females 
25 
50 
30 
Total 
50 
100 
60 
 The 75 in the upper left hand corner cell is
a. the number of accidental deaths among white males
b. the number of accidental deaths among 100,000 white males
c. the expected number of accidental deaths among 100,000 white males
d. the number of accidental deaths among 100,000 males.
e. None of these or can't say from this data.

 The rate of accidental deaths for males is
a. 75 ... b. 75 per 100,000 ... c. 150 per 100,000 ... d. 90 per 100,000 ... e. None of these
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 As a ratio, the accidental death rate for males is ________ as for females.
a. two times as much ... b. three times as much ... c. onethird as much ... d. None of these
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 As a percent, the accidental death rate for males is ________ than for females.
a. 33% less ... b. 100% more ... c. 200% more ... d. 300% more ... e. None of these

 The rate of accidental deaths among nonwhite males is
a. 75 ... b. 75 per 100,000 ... c. 150 per 100,000 ... d. 50 per 100,000 ... e. None of these
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 The rate of accidental deaths among nonwhite females is
a. 50 ... b. 50 per 100,000 ... c. 25 per 100,000 ... d. 150 per 100,000 ... e. None of these
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 As a ratio, the accidental death rate for nonwhites is ________ among males as among females.
a. two times as much ... b. three times as much ... c. 1.2 times as much ... d. None of these
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 As a percent, the accidental death rate for nonwhites is ______ among males than among females.
a. 50% more ... b. 100% more ... c. 200% more ... d. 300% more ... e. None of these

 As a ratio, the accidental death rate for males is ________ among nonwhites as among whites.
a. two times as much ... b. three times as much ... c. 1.2 times as much ... d. None of these
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 As a percent, the accidental death rate for males is ________ among nonwhites than among whites.
a. 25% more ... b. 50% more ... c. 100% more ... d. 200% more ... e. None of these

 As a percent, the number of whites that die of accidental death is __ than the number of nonwhites.
a. 50% more ... b. 100% more ... c. 200% more ... d. None of these ... e. Can't say from this table
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What time did you complete this test? ___________________. Enter this as the endtime on the first page.
Calculate your total test time: ______________________. Enter this time in minutes on the first page.
 In minutes, how long did it take you finish this test. __________________ minutes.
a. 119 ... b. 2029 ... c. 30  39 ... d. 4049 ... e. At least 50 minutes.
Test designed by Milo Schield at schield@augsburg.edu
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