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1. Several English professors categorized the literary works from their seminars by time period and length as shown in the table at the left. According to the table, what percentage of those books with 500 or more pages are from the 19th
century?
A. 17%
B. 43%
C. 50%
D. 56%
Correct answer: C LEVEL 2
2. Guilherme asked 10th and 11th graders at his school which sport they preferred between basketball and football. The table above partially shows the results. Given that 20% of students in Guilherme's school who prefer football are in 10th grade, how many 11th graders at his school prefer basketball?
A. 27
B. 46
C. 120
D. 150
Correct answer: B LEVEL 2
3. A science textbook has four chapters, each with a number of skills problems and of analysis problems. A table representing this information is on the left. Based on the table, which of the following statements is true?
A. The relative frequency of analysis problems coming from chapter 4 is 439 .
B. The relative frequency of analysis problems coming from chapter 2 is 2189 .
C. The relative frequency of problems in chapter 1 being skills problems is 1223 .
D. The relative frequency of problems in chapter 2 being skills problems is 23 .
Correct answer: A LEVEL 2
4. Victor decides to try three different routes to work for a period of 40 days. In the table above, he tracked whether he arrived to work late or on time each time that he used a particular route. According to the table, what is the probability that Victor was late when he used Route A?
A. 320
B. 29
C. 35
D. 611
Correct answer: D LEVEL 2
5. A biology professor is investigating trends in current enrollment of male/female undergraduate students in certain biologically focused cross-departmental programs. The above table represents the professor's findings. Note that students are not allowed to enroll in more than one of these programs at this particular school. About how many female students should be enrolled in the forensics program to provide evidence that enrolling in forensics is independent of student gender?
A. 66
B. 118
C. 210
D. 214
Correct answer: B LEVEL 2
6. The houses in the “historic district” of a particular town are either historically protected or not. The above table partially represents these homes and whether they have foundations made from poured concrete, mortar and field stone, or a combination of both. If only 4.5% of the non-historically-protected homes have a field stone & mortar foundation, how many homes is this? Round to the nearest whole number.
Correct answer: 6±0.5 LEVEL 2
1. Geometry students participated in an activity to classify the shapes in the room by number of sides and color. The table above displays the results. If a triangle is chosen at random from this activity, what is the probability that it is blue?
A. 316
B. 18
C. 12
D. 34
Correct answer: D LEVEL 3
2. A group of restaurant owners surveyed a list of people to determine how preferences of meats compared to preferences of grains, and if they are related. The results are in the table above. Based on the table, is there evidence of association between chicken preferences and rice preferences?
A. Yes, because the proportion of chicken and rice eaters to all chicken eaters is higher than all rice eaters to all eaters; and because the proportion of chicken and rice eaters to all rice eaters is higher than all chicken eaters to all eaters.
B. Yes, because the proportion of chicken and rice eaters to all rice eaters is higher than all rice eaters to all eaters; and because the proportion of chicken and rice eaters to all rice eaters is higher than all rice eaters to all eaters.
C. No, because the proportion of chicken and rice eaters to all chicken eaters is lower than all rice eaters to all eaters; and because the proportion of chicken and rice eaters to all rice eaters is lower than all chicken eaters to all eaters.
D. No, because the proportion of chicken and rice eaters to all chicken eaters is lower than all chicken eaters to all eaters; and because the proportion of chicken and rice eaters to all rice eaters is lower than all rice eaters to all eaters.
Correct answer: A LEVEL 3
3. A survey conducted on a random sample reports findings on telecommuting in non-academic jobs in the United States, with a focus on sales and computer programming. According to the table above, what is the probability that a randomly chosen job from the study is a partially remote sales job? Round to the nearest hundredth.
Correct answer: 0.12 LEVEL 3
4. A manufacturer of plastics and epoxy resins has committed to eliminating the chemical Bisphenol-A (BPA) from its entire product line. According to the table, what percentage of the manufacturer's epoxy resin and polycarbonate products are BPA-containing polycarbonate products? Round answer to the nearest tenth of a percent.
Correct answer: 51.7±0.1 LEVEL 3
5. Students in a college geography class created a table in which the countries of North and Central America are displayed by both population and population density (per square kilometer). If the relative frequency of this occurring compared with all countries in North America is 0.174, how many countries have a population density of fewer than 100km2 and have a medium population?
A. 2
B. 4
C. 17
D. 63
Correct answer: B LEVEL 3
1. The table on the left shows the most commonly spoken five languages in the world by native and non-native speakers, in millions, according to the SIL Ethnologue. If the relative frequency of Spanish non-native speakers to all non-native speakers was 4.8%, approximately how many non-native Spanish speakers, in millions, were there in ?
A. 20
B. 59
C. 119
D. 594
Correct answer: B LEVEL 4
2. Donte and his friends ordered pizza for a birthday party. They asked all the guests at the party whether they wanted sauce or no sauce and whether they wanted cheese or no cheese. The results are displayed in the table above. Donte found that 1/5 of the people who wanted cheese did not want sauce. What fraction of the people who wanted sauce also wanted cheese?
A. 1/9
B. 8/13
C. 4/5
D. 8/9
Correct answer: D LEVEL 4
3. An English professor classified the novels in his British Literature syllabus by century written and length of the novel. Some of the results are in the table above. Based on the table, how many books, both from 20th century that are 200 pages and above, could there be in the class to suggest evidence of association?
Books
Correct answer: 12 LEVEL 4
1. The scatterplot to the left shows the number of smartphone solds, N, in millions, at a certain company from to , where t represents years since . Which of the following best models the relationship between N and t?
A. N=15(0.56)t
B. N=15(2.25)t
C. N=11.68(1.82)t
D. N=11.68(9.1)t
Correct answer: C LEVEL 4
2. The scatter plot at left shows the world population between the years 1950 and . A function that models the data shown is:
f(x)=0.07x+2.34
where x represents the number of years since 1950, and f(x) represents the world population in billions of people. According to this model, what was the approximate world population in the year 1981?
A. 5.2 billion people
B. 2.34 billion people
C. 1,252.29 billion people
D. 8.64 billion people
Correct answer: D LEVEL 4
3. The scatterplot to the left shows the percent, P, of Americans that reported accessing the Internet at home via dial-up Internet service. If t represents the years since , which of the following exponential equations best models the trend in the percent of dial-up users from to ?
A. P=30(0.7)t
B. P=30t(1.5)t
C. P=−30(0.7)t
D. P=−30(1.5)t
Correct answer: A LEVEL 4
4. The scatter plot drawn at left depicts the change in prime lending rates (interest rates) of United States (U.S.) major banks from to . Which of the following functions best describes the relationship shown?
A. y=4.02(1.25)x
B. y=−4.02(1.25)x
C. y=−0.65x2+3.74x+3.17
D. y=0.65x2+3.74x+3.17
Correct answer: C LEVEL 4
5. The scatter plot drawn at left depicts the change in prime lending rates (interest rates) of United States (U.S.) major banks from to . Which of the following functions best describes the relationship shown?
A. y=−0.65x2−3.74x+3.17
B. y=0.65x2−3.74x+3.17
C. y=−0.65x2+3.74x+3.17
D. y=0.65x2+3.74x+3.17
Correct answer: C LEVEL 4
6. The scatter plot at left shows the population of St. Louis, Missouri from 1950 to . Based on the line of best fit to the data shown, which of the following values is closest to the average yearly change in the population of St. Louis, Missouri?
A. −9.3 thousand
B. −93.3 thousand
C. −0.11 thousand
D. −0.93 thousand
Correct answer: A LEVEL 4
7. The scatterplot to the left shows the number of teams, t, that play in round r of a basketball tournament. For integer values of r, where 1≤r≤6, which of the following equations best models the data?
A. t=96−32r
B. t=64−16r
C. t=128(0.5)r
D. t=128(2)r
Correct answer: C LEVEL 4
8. A travel agent included the scatterplot to the left in an informational brochure on Hawaii's Big Island. A best fit curve is shown on the graph, where r represents the Big Island's average rainfall, in inches (in), and m represents the month of the year, with m=1 corresponding to January, m=2 corresponding to February, and so on. Which of the following best approximates the difference in what the model predicts for April's average rainfall and what the statistics shows for April's average rainfall? (Note: April is the 4th month of the year.)
A. 0 in
B. 0.25 in
C. 0.60 in
D. 0.85 in
Correct answer: B LEVEL 4
A ball was dropped from an initial height of 55 feet (ft). A motion detector recorded the maximum height, h, in feet, of the ball after the nth bounce. The results are shown in the scatterplot below.
9. Which of the following statements best describes the situation.
A. The maximum height of the ball decreases by 0.3 ft after each bounce.
B. The maximum height of the ball decreases by 0.5 ft after each bounce.
C. The maximum height of the ball decreases by 1% after each bounce.
D. The maximum height of the ball decreases by 12% after each bounce.
Correct answer: D LEVEL 4
After drinking a can of soda that contained 58 milligrams (mg) of caffeine, an experiment was conducted in which the amount of caffeine remaining in the body was measured each hour for one day. The data is displayed in the scatterplot below.
10. If C is the amount of caffeine, in mg, remaining in the body t hours after the soda is consumed, which of the following is the best model for the relationship between t and C?
A. C=58−5t
B. C=58−9t
C. C=58(0.84)t
D. C=58(1.88)t
Correct answer: C LEVEL 4
11. The scatter plot at left shows the temperature in degrees Celsius at different depths in meters at a location in the Pacific Ocean. A function that models the data shown is:
f(x)=−0.12x+24.91
where x represents the water depth in meters, and f represents the water temperature in degrees
Celsius. According to this model, at what depth will the temperature be −20 degrees Celsius?
A. 27.31 meters
B. 24.91 meters
C. 374.25 meters
D. 210 meters
Correct answer: C LEVEL 4
12. The saturation temperature for water in air is called the dew point. The scatter plot drawn at left shows the amount of water vapor, y, that will saturate 1 cubic meter of air at sea level for different temperatures in degrees Celsius, x. A function that models the data shown is:
y=4.19(1.07)x
What does the value 4.19 in the model tell us about the amount of water vapor that will saturate 1 cubic meter of air at sea level?
A. It will take approximately 4.19 grams of water vapor to saturate the air when the air temperature is 0 degrees Celsius.
B. It will take exactly 4.19 grams of water vapor to saturate the air when the air temperature is 0 degrees Celsius.
C. As the air temperature increases by 1 degree Celsius, the grams of water vapor needed to saturate it increases by a rate of 4.19%.
D. As the air temperature increases by 1 degree Celsius, the grams of water vapor needed to saturate it decreases by a rate of 4.19%.
Correct answer: A LEVEL 4
13. The scatterplot to the left shows information on organic food sales in United States (US) from to , where x represents years since and y represents total sales, in billions of dollars, of organic food in the US. Which of the following equations best models the relationship between the number of years since and the total sales of organic food?
A. y=15.1+0.42x
B. y=15.1+2.4x
C. y=0.42+15.1x
D. y=2.4+15.1x
Correct answer: B LEVEL 4
14. The scatterplot to the left shows the costs to run a 30 second (sec) advertisement during a major sporting event from 1970 to , where xx is years since 1970 and cc is the cost, in thousands of dollars. An exponential function that models the data is shown above. Based on the model, which of the following is a true statement?
A. The cost to run a 30 sec advertisement during this sporting event in 1970 was about $1.1 million.
B. The cost to run a 30 sec advertisement during this sporting event in was about $1.1 million.
C. Between 1970 and , the cost to run a 30 sec advertisement during this sporting event increased by about $110,000 each year.
D. Between 1970 and , the cost to run a 30 sec advertisement during this sporting event increased by about 10% each year.
Correct answer: D LEVEL 4
15. The scatterplot to the left shows the population of Florida, P, in millions, from 1900 to , where t represents years since 1900. Which of the following exponential equations best models the population of Florida from 1900 to ?
A. P=0.710(0.53)t
B. P=0.710(0.965)t
C. P=0.53(1.035)t
D. P=0.53(1.410)t
Correct answer: C LEVEL 4
16. The owners of the teams in the National Football League (NFL) have developed a trade value chart, which assigns a numerical value to recently drafted players. Draftees with the highest numerical value are considered to be most valuable on the trading market. For example, the number 1 draft pick is worth 3,000 draft points and could be traded for picks 2 (worth 2,600 points
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