Deck 23: Mathematics

Question 1

What part of a poll or survey is considered the 'sample'?

A)The sum total of responses collected through the poll or survey
B)The group of people participating in the survey or poll who represent a larger population
C)The larger population the poll or survey is attempting to understand
D)The questions the participants are asked

Answer 1

The group of people participating in the survey or poll who represent a larger population

Question 2

In which of the following scenarios would a pie chart be the most effective way to display data?

A)In a PTA newsletter showing the effect study time has on standardized test scores
B)In a news magazine story about the correlation between caffeine consumption and
C)In a manager's presentation about how he wants to allocate the next year's budget
D)In a White House press release demonstrating how the budget deficit has increased over

Answer 2

In a manager's presentation about how he wants to allocate the next year's budget

Question 3

What are the two primary categories of fractions?

A)True fractions and mixed fractions
B)Geometric fractions and algebraic fractions
C)Common fractions and uncommon fractions
D)Decimal fractions and common fractions

Answer 3

Decimal fractions and common fractions

Question 4

What is the mean for the following distances? 206 miles, 410 miles, 97 miles, 125 miles, 999 miles, 234 miles

A)220 miles
B)407.88 miles
C)345.17 miles
D)206 miles

Question 5

In a jar of candy there are 127 red candies, 92 orange ones, 108 yellow ones, 77 green ones, and 13 blue candies. If a person reaches into the jar without looking and grabs one piece of candy, what is the probability of that piece being red?

A)25%
B)35%
C)20%
D)30%

Question 6

A company just distributed candy bars wrapped with golden tickets hidden within ordinary shipments of their product. The company spokesperson announces that there is a "one in one thousand chance" of someone finding a golden ticket when they open a candy bar, and that 500,000 candy bars have been distributed in the golden ticket promotion. If a person buys three of the candy bars, what is their chance of finding a golden ticket?

A)0)30%
B)3%
C)0)00%
D)0)03%

Question 7

Data that is weighted toward one end of the numerical range in which it occurs is:

A)Diverse
B)Peaked
C)Overweight
D)Skewed

Question 8

All data can be divided into four equal sections that are called:

A)Quartiles
B)Quagmires
C)Quadrants
D)Quarternaries

Question 9

A variable that affects the data collected but is not accounted for or demonstrated in the statistical measure of the data is a:

A)Stealth variable
B)Lurking variable
C)Independent variable
D)Dependent variable

Question 10

In which of the following scenarios would a bar graph be the best graphic organizer for the data?

A)In a marketing presentation about total units sold by competing brands during the last month
B)In a student's presentation about how represented each eye color is in his class
C)In a city planner's presentation about intra-county migration in relation to construction
D)In a non-profit organization's presentation describing malnutrition as a byproduct of war, using one troubled nation over a period of time as the data source

Question 11

Which type of chart or graph would be the best graphic organizer to demonstrate the relationship between foreign aid to a nation and the decrease in child mortality rates among its citizens?

A)Bar graph
B)Line graph
C)Pie chart
D)Histogram

Question 12

In a graph, the horizontal line going from left-to-right in usually which axis?

A)A-axis
B)B-axis
C)X-axis
D)Y-axis

Question 13

What is the mean for the following expenditures? $79.84, $278.99, $342.16, $466.25, $111.39, $502.47, $98.12

A)$278.99
B)$268.46
C)$354.22
D)$317.54

Question 14

What is the outlier in the following set: 11, 22, 33, 44, 55, 112, 23, 34 and 45?

A)55
B)11
C)112
D)There is no outlier.

Question 15

People who score in the 95th percentile on an exam:

A)Earned a score of 95 on the test
B)Scored as well or better than 95% of the people who took the same exam
C)Scored in the top 95% of test takers
D)Answered 95% of the questions correctly

Question 16

On a trip to the Netherlands you spend €275 per night in a hotel, €37.58 per day on meals and €50 per day on transportation. If you were there for four days and three nights, and the exchange rate from U.S. dollars to euros was $1.00 : €0.7515, about how much did you spend altogether, in U.S. dollars?

A)$1,564
B)$1,175
C)$1,702
D)$1,398

Question 17

The test scores for eight students are 97, 94, 98, 97, 89, 92, 68 and 96. What would the seventh score be considered?

A)Outlier
B)Mean
C)Mode
D)Standard deviation

Question 18

What is the median for the numbers 89, 87, 94, 82, 89, 91, 95, 88, 90, 87, 92 and 93?

A)87 and 89
B)89.5
C)93
D)89.75

Question 19

What is the mode for the numbers 34, 62, 58, 49, 37, 85, 22, 44, 37 and 52?

A)48
B)46.5
C)61
D)37

Question 20

What is the median for the following set of numbers? 15, 62, 47, 33, 89, 4, 76, 40, 54

A)28
B)46.7
C)47
D)39.2

Question 21

What is the mean for the following test scores? 92%, 87%, 75%, 88%, 96%, 95%, 94%, 82%, 88%

A)85.56%
B)88%
C)84.92%
D)86%

Question 22

Which of the following is a digit?

A)10
B)0)5
C)-7
D)0

Question 23

What is the mode for the following set of numbers? 1, 7, 8, 7, 9, 1, 2, 4, 5, 1, 3, 6, 6, 0, 9, 3, 0, 1, 4, 6

A)1
B)4)15
C)4
D)2)5

Question 24

To analyze the effect of a federal stimulus package, researchers are going to compare it against consumer spending for one year, beginning six months before the stimulus took effect and ending six months after it took effect. The researchers are looking to see if the stimulus caused notable jumps in spending. What is one possible lurking variable for which the researchers must account in order to analyze the data correctly?

A)How popular the stimulus was
B)The most noteworthy consumer products during that time
C)Holiday spending
D)Which parties control the executive and legislative branches

Question 25

If Jack's plane takes off in New York City at 10 a.m. and lands in London seven hours later, what time is it in London when he arrives?

A)5 p.m.
B)10 p.m.
C)11 p.m.
D)1 a.m.

Question 26

Jacqueline and Lee are meeting for the weekend somewhere between their cities, which are 420 miles apart. Jacqueline drives 80 mph for the duration of her trip. If they both left home at 10 a.m. and met at 1 p.m., what speed did Lee drive to reach their meeting spot?

A)75 mph
B)70 mph
C)65 mph
D)60 mph

Question 27

Ellen is laying sod, and she has a small triangular area to cover to complete the task. The lengths of the three sides are 10 feet, 8 feet and 6 feet. How much sod does she need to fill the bare area?

A)24 sq. ft.
B)48 sq. ft.
C)12 sq. ft.
D)36 sq. ft

Question 28

If two cities are 1,846 kilometers apart, approximately how many miles apart are they?

A)2,765 miles
B)1,457 miles
C)2,369 miles
D)1,147 miles

Question 29

A natural disaster cut a town off from its water supply. People must consume two quarts of clean water per day to survive. If an agency is going to deliver a three-day supply of clean water for each person and there are 32,684 people in the town, how many gallons of water must the agency transport there?

A)49,026 gallons
B)65,368 gallons
C)98,052 gallons
D)16,342 gallons

Question 30

Car A and Car B leave Los Angeles at the same time on the same route bound for Atlanta, 2,200 miles away. If Car A drives 68 mph for 10 hours a day and Car B drives 75 mph for 8 hours a day, which car will reach Atlanta first and by how much time?

A)Car B by about 2 hours
B)Car A by about 10 hours
C)Car B by about 6 hours
D)Car A by about 4 hours

Question 31

A group interested in the result of an upcoming gubernatorial election is conducting a poll to find the likely result. They randomly select citizens over the age of 18 to poll. Each participant is asked two multiple-choice questions: which candidate they prefer and which attribute of the candidate or their platform compelled their choice. What is the flaw in this poll?

A)Not assessing voter status
B)There is no flaw.
C)Using multiple-choice questions
D)Using a random sample

Question 32

A group interested in the result of an upcoming presidential election is conducting a poll to find the likely result. They randomly select registered voters nationwide in a proportional model that mirrors the electoral breakdown of the country. The participants are asked if they are likely to vote in the upcoming election. Then, they are asked if they agree with characterizations of Religion X as exclusionary and encouraging of violence. The participants are then asked how they feel about Candidate A's affiliation with Religion X, his participation in which he has discussed publicly. What is the flaw in this poll?

A)There is no flaw.
B)Leading questions
C)Random selection
D)Asking a question about religion

Question 33

The division of your company that you oversee contains 18 employees whose total salary last year was $855,000. The average salary of all company employees with the same level of responsibility and qualifications is $50,000. Is your department above or below the company average?

A)Below by 20%
B)Above by 10%
C)Below by 5%
D)Above by 15%

Question 34

Which of the following polling methods is most likely to yield accurate or honest results on personal health topics?

A)A face-to-face, free response survey outside of post offices
B)Online polls for which users must register an active email address, limiting each user to one poll submission
C)By going door-to-door to ask people multiple-choice questions
D)By organizing polling groups in which groups answer and discuss questions together

Question 35

Which of the following polls is most likely to have the most valid results?

A)A survey regarding presidential candidate preference conducted within a discussion group in which the participants already know each other (a church group, a group culled from the same office, etc.)
B)An online poll asking about presidential candidate preference
C)An exit poll conducted one-on-one with people who have just voted in a presidential election
D)A telephone survey about presidential candidate preference that is conducted at 6 p.m. each evening for one week

Question 36

A group interested in the result of an upcoming ballot initiative about the public school system is conducting a poll to find the likely outcome. They randomly select registered voters with school-age children from the voting population. The first question in the poll ascertains whether or not the participant is a likely voter and only those people who plan to vote are asked to complete the poll. What is the flaw in this sample?

A)Using random selection
B)There is no flaw.
C)Voter registration status
D)Parental status

Question 37

During a three-day, two-night business trip to Egypt a traveler recorded her expenses so that she could be reimbursed upon her return. She paid $350 for her airfare to Cairo. For each cab ride she took in Cairo, she paid a fare of 40LE (40 livre égyptienne or Egyptian pounds), and she took two cab rides per day. She spent 300LE each day on food, and each night in the hotel cost 1500LE. Her plane fare home from Cairo cost 3923LE. If the exchange rate of American dollars to Egyptian pounds is $1 = 6.0361 EGP, how much will the traveler be reimbursed in American dollars?

A)About $1446
B)About $1286
C)About $1636
D)About $1396

Question 38

If the United States spends $1 billion a year on foreign aid and, of that money, 55% contributes to human rights improvements, 25% contributes to HIV/AIDS treatment and prevention, and 5% contributes to infrastructure improvements, how much money of the foreign aid budget is left to spend on food and water?

A)$150 billion
B)$150,000
C)$1.5 million
D)$150 million

Question 39

The United States budget is about $3.8 trillion and foreign aid comprises 1% of the budget. If African countries receive a combined 20% of the United States' foreign aid, how much money is sent to the continent?

A)$7.6 billion
B)$76 billion
C)$76 million
D)$7.6 million

Question 40

Using data to predict what might occur in the future, beyond what the data set has explicitly demonstrated, is called:

A)Variable anticipation
B)The futures market
C)Predicate analysis
D)Extrapolation

Question 41

Every U.S. dollar spent on foreign aid buys five gallons of clean water to distribute to people in need. Out of every five gallons of clean water intended for people in need, two gallons are lost due to environmental factors, transportation problems and conflict. If the United States spends $12 million on foreign aid in one year, how much of that money would actually make it to the people in need if spent on water?

A)$7.2 million
B)$6.5 million
C)$7 million
D)$8 million

Question 42

In a game, one card is drawn from a complete deck of playing cards without jokers. If the card is a club or a queen, the gambler wins double his bet. Otherwise, the dealer keeps the money. How much better are the dealer's odds in this game?

A)50% better
B)38% better
C)32% better
D)44% better

Question 43

If Martin invests $20,000 for 20 years and his investment earns 20% interest compounding quarterly, what will it be worth at the end of his investment period?

A)$991,228.82
B)$120,000.00
C)$244,529.20
D)$424,872.36

Question 44

To find the percentage (p) of any number (n), which formula can be used?

A)(p x 100) ÷ n
B)(p x n) ÷ 100
C)100 - (p x n)
D)(n x 100) ÷ p

Question 45

If two cities are 500 miles apart, approximately how many kilometers apart are they?

A)295 km
B)375 km
C)805 km
D)695 km

Question 46

If 11,300 people apply for entrance to an institution for which there is an 11% acceptance rate, how many people are offered admission?

A)1,027
B)1,243
C)1,159
D)1,205

Question 47

If Jack invests $2,500 for one year and his investment is worth $2,825 at the end of that period, how much interest did he earn on his investment?

A)11%
B)12%
C)13%
D)15%

Question 48

If Elizabeth invests $4,000 for five years and her investment earns 12% interest, compounding annually, what will it be worth at the end of her investment period?

A)$6,000.00
B)$6,400.00
C)$6,943.66
D)$7,049.37