Question 1

Solve for the percentage in the problem. Round to the nearest tenth of a percent.
-______$\% \text { of } 8 \text { gross is } 0.04 \text { gross. }$

Accepted Answer

A) 0.5 
B) 200.0 
C) 5.0 
D) 50.0 
A) 0.5 
B) 200.0 
C) 5.0 
D) 50.0

Question 2

Answer the question.
-A teacher gives the same math exam to two different classes. The second class has more students than the first. The mean score for the first class is 70% and the mean score for the second class is
90%. What can you say about the mean score for both classes combined?

Accepted Answer

A) It is equal to 80%. 
B) It may be higher or lower than 80%, this cannot be determined from the information given. 
C) It is higher than 80%. 
D) It is lower than 80%. 
A) It is equal to 80%. 
B) It may be higher or lower than 80%, this cannot be determined from the information given. 
C) It is higher than 80%. 
D) It is lower than 80%.

Question 3

Solve the problem.
-Suppose it cost $16.19 to fill a gas tank in 2000. How much would it have cost to fill the same tank in 1985?
Use the table below: $$\begin{array}{l}
\text { YEAR|GASOLINE PRICE }\
\begin{array} { l | l } 
& \text { (cents per gallon) } \
\hline 1955 & 29.1 \
1965 & 31.2 \
1975 & 56.7 \
1985 & 119.6 \
1995 & 120.5 \
2000 & 155.0 \
2010 & 284.0
\end{array}
\end{array}$$

Accepted Answer

A) $20.98 
B) $12.49 
C) $13.88 
D) $11.36 
A) $20.98 
B) $12.49 
C) $13.88 
D) $11.36

Question 4

Solve for the percentage in the problem. Round to the nearest tenth of a percent.
-$69.6$ yards is $\quad \%$ of 5 yards.

Accepted Answer

A)  $13,920.0$ 
B)  $7.2$ 
C)  $0.7$ 
D)  $1392.0$ 
A)  $13,920.0$ 
B)  $7.2$ 
C)  $0.7$ 
D)  $1392.0$

Question 5

Solve the problem.
-A store manager paid $192 for an item and set the selling price at $261.12. What was the percent markup?

Accepted Answer

A) 26% 
B) 35% 
C) 36% 
D) 34% 
A) 26% 
B) 35% 
C) 36% 
D) 34%

Question 6

Determine whether the statement makes sense. If the statement is possible then it makes sense. If it is clearly impossible,it does not make sense.
-In the next hour, roughly $10 ^ { 9 }$people will die worldwide.

Accepted Answer

A) True 
 B)False

Question 7

Write the number in scientific notation.
-A company produces 137,000 small appliances in one year.

Accepted Answer

A)  $13.7 \times 10 ^ { 4 }$ 
B)  $1.37 \times 10 ^ { - 5 }$ 
C)  $1.37 \times 10 ^ { 5 }$ 
D)  $1.37 \times 10 ^ { 6 }$ 
A)  $13.7 \times 10 ^ { 4 }$ 
B)  $1.37 \times 10 ^ { - 5 }$ 
C)  $1.37 \times 10 ^ { 5 }$ 
D)  $1.37 \times 10 ^ { 6 }$

Question 8

Use the Consumer Price Index below to answer the question. $$\begin{array}{l}
\text { Average Annual Consumer Price Index (1982-1984 = 100) }\
\begin{array} { c | c | c | c | c | c } 
\text { Year } & \text { CPI } & \text { Year } & \text { CPI } & \text { Year } & \text { CPI } \
\hline 1986 & 109.6 & 1995 & 152.4 & 2004 & 188.9 \
1987 & 113.6 & 1996 & 156.9 & 2005 & 195.3 \
1988 & 118.3 & 1997 & 160.5 & 2006 & 201.6 \
1989 & 124.0 & 1998 & 163.0 & 2007 & 207.3 \
1990 & 130.7 & 1999 & 166.6 & 2008 & 215.3 \
1991 & 136.2 & 2000 & 172.2 & 2009 & 214.5 \
1992 & 140.3 & 2001 & 177.1 & 2010 & 218.1 \
1993 & 144.5 & 2002 & 179.9 & 2011 & 224.9 \
1994 & 148.2 & 2003 & 184.0 & 2012 & 229.6
\end{array}
\end{array}$$
-In 1995, the price of gasoline was 120.5 cents per gallon. In 2000 it was 155.0 cents per
gallon. Find the relative change in the price of gasoline over that period and compare it to
the overall rate of inflation as measured by the CPI. In real terms, was gasoline more
expensive in 1995 or 2000?

Accepted Answer

Relative change in cost betwee

Question 9

Use the Consumer Price Index below to answer the question. $$\begin{array}{l}
\text { Average Annual Consumer Price Index (1982-1984 = 100) }\
\begin{array} { c | c | c | c | c | c } 
\text { Year } & \text { CPI } & \text { Year } & \text { CPI } & \text { Year } & \text { CPI } \
\hline 1986 & 109.6 & 1995 & 152.4 & 2004 & 188.9 \
1987 & 113.6 & 1996 & 156.9 & 2005 & 195.3 \
1988 & 118.3 & 1997 & 160.5 & 2006 & 201.6 \
1989 & 124.0 & 1998 & 163.0 & 2007 & 207.3 \
1990 & 130.7 & 1999 & 166.6 & 2008 & 215.3 \
1991 & 136.2 & 2000 & 172.2 & 2009 & 214.5 \
1992 & 140.3 & 2001 & 177.1 & 2010 & 218.1 \
1993 & 144.5 & 2002 & 179.9 & 2011 & 224.9 \
1994 & 148.2 & 2003 & 184.0 & 2012 & 229.6
\end{array}
\end{array}$$
-The table below shows the federal hourly minimum wage in various years. Complete the
table by converting each minimum wage from actual dollars to 2001 dollars. In which year
was the purchasing power of the minimum wage the highest? $$\begin{array} { l | l } 
\text { Year } & \text { Actual dollars 2001 dollars } \
\hline 1990 & \$ 3.50 \
1991 & \$ 4.25 \
1996 & \$ 4.75 \
1997 & \$ 5.15
\end{array}$$

Accepted Answer

\[\begin{array} { c | c c } 
\text { Yea

Question 10

State the number of significant digits and the implied precision of the given number.
-2005 people

Accepted Answer

A) 1 significant digit, precise to the nearest 1000 people 
B) 2 significant digits, precise to the nearest person 
C) 4 significant digits, precise to the nearest person 
D) 2 significant digits, precise to the nearest 1000 people 
A) 1 significant digit, precise to the nearest 1000 people 
B) 2 significant digits, precise to the nearest person 
C) 4 significant digits, precise to the nearest person 
D) 2 significant digits, precise to the nearest 1000 people

Question 11

Round to the indicated place value.
-Round to the nearest hundredth: 10.8763

Accepted Answer

A) 10.876 
B) 10.88 
C) 10.875 
D) 10.89 
A) 10.876 
B) 10.88 
C) 10.875 
D) 10.89

Question 12

Decide whether the statement is believable, given the precision with which it is stated.
-Using a meter stick, I measured the length of the kitchen to within 0.0373 centimeters.

Accepted Answer

A) Believable 
B) Not believable at that precision 
A) Believable 
B) Not believable at that precision

Question 13

Give an appropriate response.
-Due to poor sales, a company eliminated a number of jobs. Twenty-five percent of the 300
men in full-time positions lost their jobs, while 20% of the 300 women in full-time
positions lost their jobs. 80% of the 150 men in part-time positions lost their jobs, and 75%
of the 600 women in part-time positions lost their jobs. Explain the apparent inconsistency
in these results.

Accepted Answer

Within each category, the percentage of

Question 14

Solve the problem.
-The table below shows the number of people testing positive for a certain disease amongst those who do have the disease and amongst those who don't. Use the table to answer the question.   What percentage of those that tested positive actually have the disease?

Accepted Answer

A) 87.4% 
B) 1.3% 
C) 1.1% 
D) 9.9% 
A) 87.4% 
B) 1.3% 
C) 1.1% 
D) 9.9%

Question 15

Give an appropriate response.
-The table shows the results of a study examining the effectiveness of home schooling as
compared to traditional schooling. The same reading test is given to all students regardless
of grade.   For each age grade, determine the percentage passing the test amongst those schooled at
home and among those with traditional schooling. If the two age groups are combined,
what percentage pass the test amongst those schooled at home and among those with
traditional schooling?
Explain the apparent inconsistency in these results, and how the design of the study
brought about the inconsistency.

Accepted Answer

\[\begin{array} { r | c c } 
& \text { H

Question 16

Determine whether the source of error represents random or systematic error.
-Athlete's are timed in the 100-m dash by a person with a stop watch. There is some error involved in stopping the watch at the correct instant.

Accepted Answer

A) Random error 
B) Systematic error 
A) Random error 
B) Systematic error

Question 17

Determine by what factor the numbers differ. In other words, determine how many times larger the first number is thanthe second.
-1 billion, 1 thousand

Accepted Answer

A)  $10 ^ { 6 }$ 
B)  $10 ^ { 12 }$ 
C)  $10 ^ { 3 }$ 
D)  $10 ^ { 9 } - 10 ^ { 3 }$ 
A)  $10 ^ { 6 }$ 
B)  $10 ^ { 12 }$ 
C)  $10 ^ { 3 }$ 
D)  $10 ^ { 9 } - 10 ^ { 3 }$

Question 18

Solve the problem.
-Brand X copier advertises that its copiers run 16% longer between service calls than its competitor. If Brand X copiers run 55,300 copies between services, how many copies would the competitor run?

Accepted Answer

A) 46,452 copies 
B) 47,672 copies 
C) 64,148 copies 
D) 30,054 copies 
A) 46,452 copies 
B) 47,672 copies 
C) 64,148 copies 
D) 30,054 copies

Question 19

Write the percentage as a fraction or decimal, as indicated.
-Write as a decimal. 51.5%

Accepted Answer

A) 0.515 
B) 0.0515 
C) 5.15 
D) 0.405 
A) 0.515 
B) 0.0515 
C) 5.15 
D) 0.405

Question 20

Round to the indicated place value.
-Round to the nearest tenth: 12.559

Accepted Answer

A) 12.6 
B) 12.7 
C) 12.56 
D) 12.5 
A) 12.6 
B) 12.7 
C) 12.56 
D) 12.5

Solve for the percentage in the problem. Round to the nearest tenth of a percent. -______ $\% \text { of } 8 \text { gross is } 0.04 \text { gross. }$

Answer the question. -A teacher gives the same math exam to two different classes. The second class has more students than the first. The mean score for the first class is 70% and the mean score for the second class is 90%. What can you say about the mean score for both classes combined?

Solve the problem. -Suppose it cost $16.19 to fill a gas tank in 2000. How much would it have cost to fill the same tank in 1985? Use the table below: YEAR|GASOLINE PRICE (cents per gallon) 1955 29.1 1965 31.2 1975 56.7 1985 119.6 1995 120.5 2000 155.0 2010 284.0

Solve for the percentage in the problem. Round to the nearest tenth of a percent. - $69.6$ yards is $\quad \%$ of 5 yards.

Solve the problem. -A store manager paid $192 for an item and set the selling price at $261.12. What was the percent markup?

Determine whether the statement makes sense. If the statement is possible then it makes sense. If it is clearly impossible,it does not make sense. -In the next hour, roughly $10 ^ { 9 }$ people will die worldwide.

Write the number in scientific notation. -A company produces 137,000 small appliances in one year.

State the number of significant digits and the implied precision of the given number. -2005 people

Round to the indicated place value. -Round to the nearest hundredth: 10.8763

Decide whether the statement is believable, given the precision with which it is stated. -Using a meter stick, I measured the length of the kitchen to within 0.0373 centimeters.

Solve the problem. -The table below shows the number of people testing positive for a certain disease amongst those who do have the disease and amongst those who don't. Use the table to answer the question. What percentage of those that tested positive actually have the disease?

Determine whether the source of error represents random or systematic error. -Athlete's are timed in the 100-m dash by a person with a stop watch. There is some error involved in stopping the watch at the correct instant.

Determine by what factor the numbers differ. In other words, determine how many times larger the first number is thanthe second. -1 billion, 1 thousand

Solve the problem. -Brand X copier advertises that its copiers run 16% longer between service calls than its competitor. If Brand X copiers run 55,300 copies between services, how many copies would the competitor run?

Write the percentage as a fraction or decimal, as indicated. -Write as a decimal. 51.5%

Round to the indicated place value. -Round to the nearest tenth: 12.559

Thinking Critically

Approaches to Problem Solving

Managing Money

Statistical Reasoning

Putting Statistics to Work

Probability: Living With the Odds

Exponential Astonishment

Modeling Our World

Modeling With Geometry

Mathematics and the Arts

Filters

Exam 3: Numbers in the Real World

Solve for the percentage in the problem. Round to the nearest tenth of a percent. -______ % of 8 gross is 0.04 gross. \% \text { of } 8 \text { gross is } 0.04 \text { gross. }% of 8 gross is 0.04 gross.