Georgia Online Formative Assessment Resource (GOFAR) G9...

G9-S-STA+PRO-Q1-78

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Georgia Online Formative Assessment Resource (GOFAR)

Copyright © 2015by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (1 of 43 )

1.

A Venn Diagram has three main categories. How many total groups can be formed from the three maincategories?

A)5

B)6

C)7

D)8

2. A model has 15 different shirts, 8 different hats, and 10 different pairs of pants to choosefrom. How many different outfits of 1 shirt, 1 hat, and 1 pair of pants are possible?

A)33

B)99

C)400

D)1200

3. A café offers a daily sandwich special that allows customers to choose 1 from each of thefollowing.

different types of bread

4 different types of meat

2 different types of cheese

3 different types of topping

The manager of the café is considering adding 1 more topping. How many MORE sandwiches arepossible if another topping is offered?

A)12

B)16

C)22

D)49

4. The probability that it will rain tomorrow in Georgia is 30%. The probability that it will raintomorrow in both Georgia and Alaska is 12%.

If it rains tomorrow in Georgia, what is the probability that it will rain tomorrow in Alaska?

A)12%

B)18%

C)32%

D)40%



5. A bag contains equal numbers of red, blue, and yellow marbles. A student chooses a marble atrandom.

What is the relationship between the probability that the marble is red and the probability thatthe marble is NOT red?

A)

B)

C)

D)

6. A bag contains tiles that each have a letter on them. The letters spell the word ELEPHANT.

A tile is chosen at random. What is the probability that the tile chosen has a vowel on it?

A)

B)

C)

D)

7. This spinner is divided into 12 congruent sections numbered 1 through 12.

A student will spin the arrow on the spinner one time. What is the probability that the arrow willstop on a number that is a multiple of 3 or 4?

A)



B)

C)

D)

8. A high school cross-country team consists of 6 freshmen, 5 sophomores, 4 juniors, and 5seniors. The coach randomly chooses one of the runners to hand out race numbers.

What is the probability that the chosen runner is a junior or senior?

A)

B)

C)

D)

9. The freshman class is choosing representatives for a homecoming contest. The names of 6girls and 6 boys are each written on a piece of paper. The pieces are placed in a bag. Two namesare chosen at random.

What is the probability that one boy's name and one girl's name are chosen?

A)

B)

C)

D)

10. Which scenario represents a dependent situation?

A)Two coins are flipped by the same person.



B)Two marbles are taken from a bag at the same time.

C)Two number cubes are rolled at the same time and their face values are added together.

D)A colored paperclip is taken from a box, put back, and then a second paperclip is taken.

11. There are 4 blue tiles and 1 red tile in a bag. Two tiles are drawn from the bag at the sametime.

What is the probability that both tiles drawn are blue?

A)

B)

C)

D)

12. A drawer contains the following 9 pairs of socks:

· 3 blue pairs

· 2 black pairs

· 4 white pairs

Two pairs of socks are randomly selected from the drawer at the same time. What is theprobability that both pairs are white?

A)

B)

C)

D)

13. Eight students will compete in a race. There will be no ties.



Which expression represents the number of different ways the students can finish the race infirst place, second place, and third place?

A)

B)

C)

D)

14. Michelle wants to invite 2 friends to go with her to a concert. She has 4 friends from which tochoose.

How many combinations of 2 friends can Michelle choose from the 4?

A)6

B)8

C)12

D)16

15. A group of 4 cheerleaders from a squad of 10 will be chosen to lead a halftime show during afootball game. How many different groups of 4 cheerleaders can be chosen from the squad of10?

A)40

B)210

C)5040

D)6300

16. A student wants to create a DVD with 2 video clips on it. She has 6 video clips to choose from.

How many different arrangements of 2 video clips can the student choose from the 6 for theDVD?

A)12

B)15

C)30



D)36

17. A competition is being held for 4 positions on a student debate team. There are 3 juniors and 5 seniorscompeting for the positions.

How many different groups of 4 students can be selected from the 8 competing?

A)70

B)420

C)1680

D)4096

18.

Ken is interviewing for 2 open positions at his bakery. If 14 people apply for the position, but he can onlychoose 2, how many possible combinations of 2 exist?

A)78

B)91

C)182

D)1,050

19. A student surveyed a random sample of female students in three out of four of the twelfth-gradehomerooms at her school. Which population does the sample BEST represent?

A)all the students at the school

B)all the female students at the school

C)all the twelfth-grade students at the school

D)all the female twelfth-grade students at the school

20. A student plans to survey randomly selected spectators at a school football game. For which questionwill the sample be the MOST representative of the relevant population?

A)Which food should be added to the concession stands at the football stadium?

B)Which activities should be offered for the school's activity day this year?

C)How should we spend the money from the annual fundraiser?

D)Which play should the drama club perform next?

21.

Joe wants to find out if the favorite subject of students is mathematics or english. He decides to survey 100



students. Which method would give Joe the BEST representative sample?

A)randomly pick students in a hallway

B)randomly walk up to people at lunch

C)ask every 5th person that walks by on their way into school

D)randomly pick students from the school’s total population

22.

Cara is conducting a survey of the eating habits of students in her high school. Which of the following is thebest sample for her to use in the study?

A)Survey the students in her chorus class.

B)Survey the students on the football team.

C)Survey random students as they walk into school.

D)Survey all of the students in the pizza line at lunch.

23.

Sandy wants to see if people with higher paying jobs die earlier than those without. She goes to a localhospital and collects death records for the past five years. She then researches the type of job each personhad and draws her conclusions. What type of study did Sandy conduct?

A)experimental

B)observational

C)random

D)theoretical

24.

Which statement correctly describes an experimental study?

A)The investigators create differences in explanatory variables and examine the results.

B)The investigators observe differences in results from matching experiments.

C)Randomization is not a component of a experimental study.

D)Data can be collected through surveys.

25. The box-and-whisker plot shown below represents the heights, in inches, of the members of the CentralHigh School girls' basketball team.

What is the median height of the members of the team?

A)67 inches



B)68 inches

C)69 inches

D)70 inches

26.These tables show the number of vanilla ice-cream cones and the number of chocolate ice-cream cones sold at an amusement park each day for 12 days.

Which statement correctly compares the two data sets?

A)The interquartile range is less for the number of vanilla ice-cream cones sold than for the number ofchocolate ice-cream cones sold.

B)The interquartile range is the same for the number of vanilla ice-cream cones sold as it is for the numberof chocolate ice-cream cones sold.

C)The mode of the number of vanilla ice-cream cones sold is less than the mode of the number of chocolateice-cream cones sold.

D)The mode of the number of vanilla ice-cream cones sold is the same as the mode of the number ofchocolate ice-cream cones sold.




Which statement correctly compares the two data sets?

A)The median number of vanilla ice-cream cones sold is less than the median number of chocolate ice-cream cones sold.

B)The median number of vanilla ice-cream cones sold is the same as the median number of chocolate ice-cream cones sold.

C)The range of the numbers of vanilla ice-cream cones sold is less than the range of the numbers ofchocolate ice-cream cones sold.

D)The range of the numbers of vanilla ice-cream cones sold is the same as the range of the numbers ofchocolate ice-cream cones sold.




On Day 13, the number of vanilla ice-cream cones sold was the same as the number of chocolate ice-cream cones sold. When this data was added to the two data sets,

· the median number of vanilla ice-cream cones sold decreased by 1, and

· the median number of chocolate ice-cream cones sold increased by 1.

Which number could be the number of vanilla ice-cream cones sold on Day 13?

A)74

B)75

C)77

D)78

29. Madeline and David take weekly math quizzes. Each quiz has 20 possible points. These data sets showtheir last five quiz scores.

Madeline: 13, 13, 13, 14, 15

David: 12, 12, 12, 13, 20

What is the MOST likely reason the mean score for David is greater than the mean score for Madeline?

A)The range of scores for David is greater than the range of scores for Madeline.

B)The median of Madeline's scores is greater than the median of David's scores.

C)The mode of Madeline's scores is greater than the mode of David's scores.

D)The data for David has an outlier that the data for Madeline does not have.



30. This table shows the gas prices charged at two different stations each day for one week.

Which statistic has a greater value for Fred's Fuel Stop than for Gary's Gas Station?

A)first quartile

B)median

C)third quartile

D)interquartile range

31. This table shows the number of hot dogs sold during each of the nine innings of a baseball game at twodifferent hot dog stands.

Which statement supports the correct comparison of the two data sets?

A)The interquartile range for Stand 1 is greater than the interquartile range for Stand 2 because themedian value for Stand 1 is greater than the median value for Stand 2.

B)The interquartile range for Stand 2 is greater than the interquartile range for Stand 1 because themedian value for Stand 2 is greater than the median value for Stand 1.

C)The interquartile range for Stand 1 is greater than the interquartile range for Stand 2 because the third



quartile value for Stand 1 is greater than the third quartile value for Stand 2.

D)The interquartile range for Stand 2 is greater than the interquartile range for Stand 1 because the thirdquartile value for Stand 2 is greater than the third quartile value for Stand 1.

32. These lists show the heights, in inches, of 12 players on a basketball team and 12 players on a soccerteam.

Basketball Players: 73, 74, 70, 72, 75, 73,

72, 70, 75, 77, 68, 72

Soccer Players: 68, 70, 69, 71, 73, 72,

75, 70, 71, 68, 70, 69

Which statement BEST explains the variability of the two sets?

A)The heights of the soccer players are more variable because the median of the soccer team is greater.

B)The heights of the basketball players are more variable because the median of the basketball team isgreater.

C)The heights of the soccer players are more variable because the interquartile range of the soccer team isgreater.

D)The heights of the basketball players are more variable because the interquartile range of the basketballteam is greater.

33. Jadyn's data set has a median of 50. Ryan's data set also has a median of 50. The interquartile range ofJadyn's data set is greater than the interquartile range of Ryan's data set.

Which statement about the data in the two sets MUST be true?

A)There are more values in Jadyn's data set than in Ryan's data set.

B)The middle 50% of Jadyn's data set has a wider spread than the middle 50% of the data in Ryan's dataset.

C)The upper 50% of Jadyn's data set has a wider spread than the upper 50% of the data in Ryan's dataset.

D)The mean of Jadyn's data set is equal to the mean of Ryan's data set.

34.A student recorded the high temperature on September 15 in two different cities for a random sample of 10 out of the last 100 years. The data are shown in this table.

How does the standard deviation of the data for City P compare to the standard deviation of the data forCity Q?



A)The standard deviations of the data for the two cities are the same.

B)The standard deviation for City P is greater than the standard deviation for City Q by 10.

C)The standard deviation for City P is greater than the standard deviation for City Q by

D)The standard deviation for City P is less than the standard deviation for City Q by

35. This graph shows the lengths of a sample of Chinese box turtles.

Based on these data, what is the estimated standard deviation in length of the population from which thesample was drawn?

A)18.6 mm

B)20.3 mm

C)45.4 mm

D)49.0 mm

36. This graph shows the life spans of a sample of 45 houseflies of the same species.



Which is the best estimate of the standard deviation of this data set?

A)1.0 days

B)2.7 days

C)7.3 days

D)9.9 days

37. This list shows the average monthly electric bills, in whole dollars, for a random sample of 10households in a county.

67, 85, 79, 46, 21, 52, 68, 77, 33, 64

Based on these data, what is the standard deviation, in dollars, of the monthly electric bills for the wholepopulation of households in the county?

A)6.9

B)8.1

C)19.8

D)20.8

38. This histogram shows the distribution of ages for a random sample of 60 people attending a movie.




A)5

B)16

C)60

D)240

39. This histogram shows the numbers of floors of a random sample of 15 buildings in the downtown area ofa large city.


A)15

B)25

C)63

D)94



40. This graph shows the numbers of advertisements seen in the last ten days by 8 survey respondents.


A)123

B)236

C)309

D)326

41. This histogram shows the cholesterol levels of a sample of 50 people.


A)5

B)15



C)25

D)35

42. A student measured the relative hardness of 6 different materials. The standard deviation of the valueswas approximately 10.

Which graph could represent the student's data?

A)

B)

C)



D)

43. The salaries of a group of 60 workers in one year had a mean of $34,100 and a standard deviation of $7,200. At the end of the year, each worker received a bonus of $2,500.

What are the mean and standard deviation of the salaries after the bonus is included?

A)

B)

C)

D)

44. Melissa recorded her weekly expenses for 10 weeks. Her data are shown in this graph.



Melissa observes that the range of her data is $91 and the standard deviation is $31.97.

Her total expenses for weeks 11 and 12 are $192 and $303. If these values are added to the data, how willthe range and standard deviation change?

A)The range and standard deviation will both increase by $20.

B)The range will remain the same, but the standard deviation will increase by $5.43.

C)The range will increase by $20, but the standard deviation will remain the same.

D)The range will increase by $20, and the standard deviation will increase by $5.43.

45. These graphs show the relative humidity in Atlanta at noon each day for two weeks.



Which statement correctly compares the data for week 1 and week 2?

A)The mean and standard deviation are both greater for week 1 than for week 1.

B)The mean and standard deviation are both greater for week 2 than for week 1.

C)The mean is greater for week 1, but the standard deviation is greater for week 2.

D)The mean is greater for week 2, but the standard deviation is greater for week 1.

46. A car dealer has four locations in a city. This table shows the number of cars sold each week by eachlocation for a period of 5 weeks.

Which location has the LEAST variation in weekly sales?



A)Location A

B)Location B

C)Location C

D)Location D

47. Two football teams have played the same number of games. Team P has scored a mean of 23.6 pointsper game with a standard deviation of 4.7 points. Team Q has scored a mean of 23.6 points per game witha standard deviation of 12.1 points.

Which statement can be justified based on this information?

A)Team P typically scores more points than Team Q.

B)Team P typically scores fewer points than Team Q.

C)The number of points scored per game is more consistent for Team P than for Team Q.

D)The number of points scored per game is less consistent for Team P than for Team Q.

48. These graphs show usage statistics for two automated teller machines (ATMs) at a bank last week.

Which statement is BEST supported by these data?



A)ATM 1 is used more consistently than ATM 2.

B)ATM 2 is used more consistently than ATM 1.

C)ATM 1 is used more frequently every day than ATM 2.

D)ATM 2 is used more frequently every day than ATM 1.

49. The relationship between the price of a CD and the profit is modeled by a quadratic function.Whichgraph MOST likely shows this relationship?

A)

B)

C)



D)

50. A student conducted an experiment to determine the relationship between the amount of photosynthesisin leaves and their age. The student found that a quadratic curve fit the data well.

Which of the following graphs MOST likely shows the student's data?

A)

B)



C)

D)

51. This graph shows a set of data from a study of the nitrogen concentration in plants with multiple basestems.



Which equation BEST fits the data in the graph?

A)

B)

C)

D)

52. A student concludes from a set of experimental data that the relationship between the growth of a plantand the loss of water through its surface is modeled well by a quadratic function.

Which graph MOST likely shows the data from this experiment?

A)

B)



C)

D)

53. A student measures the period of a simple pendulum using strings of different lengths. The studentconcludes that the data can best be modeled by an increasing linear function.

Which graph could represent the student's data?

A)



B)

C)

D)

54. These graphs show experimental data that relates the energy intake of infants to their age, in months.Which graph is MOST likely to be best modeled by a quadratic function?



A)

B)

C)



D)

55. A researcher concludes from a set of experimental data that the relationship between the proteinconcentration of a plant and the plant's density is best modeled by aquadratic function.

Which graph BEST supports this conclusion?

A)

B)



C)

D)

56. This scatter plot shows the relationship between the length of some plant stems that are covered bylichen, and the mass of the lichen.

What is the approximate slope of the median-median line?

A)0.23

B)0.35



C)0.64

D)0.88

57. This scatter plot shows the relationship between the sodium chloride concentration in a soilsample and the germination rate of cotton seeds in that soil.

What is the equation of the median-median line?

A)

B)

C)

D)

58. This graph shows the average gas price per gallon each month in a city over a period of nine months.



Which statement explains why the regression line is LESS suitable than the median-median line as a modelfor these data?

A)The data points are not evenly spaced.

B)The least-squares regression line does not pass through the origin.

C)quadratic model fits the data better than a linear model.

D)The data includes an outlier that will affect the slope of the least-squares regression line.

59. This graph shows the relationship between the usage of water in cultivating grain and the grain yield.

Which is the best estimate of the slope of the median-median line for these data?

A)8



B)10

C)12

D)14

60. This graph shows a set of data from a study of hearing loss among professional dancers over a period offive years.

Based on an estimated line of best fit, what is the probability of hearing loss for a dancer who dances 70hours per month?

A)30%

B)32%

C)34%

D)36%

61. A payroll specialist at a company made this graph to show the relationship between experience at thecompany and monthly income for a random sample of employees of the company.



What is the equation of the median-median line for these data?

A)

B)

C)

D)

62. This scatter plot shows how the average height of a corn stalk varies with the concentration of zinc inthe corn stalk.



Which equation BEST models the relationship between zinc concentration, x, and plant height, y?

A)

B)

C)

D)

63. A meteorologist recorded the wind speed and air pressure at different times during a storm in 2002. Thedata are shown in this graph.

Which linear equation BEST models these data?

A)

B)

C)

D)

64. Jenny studied the effect of light on plant growth. She graphed a scatterplot to represent her data.



Which of the following best represents the equation for the line of best fit for the data shown?

A)y= –0.4x+ 5

B)y= 0.4x+ 5

C)y= –4x+ 5

D)y =4x+ 5

65.

Given the scatter plot, determine the line of best fit.

A)y = 1.1x + 4

B)y = -1.1x + 4



C)y = 0.9x + 3

D)y = -0.9x + 3

66.

Which linear function best approximates the data?

A)y = 0.67x + 38

B)y = -0.67x + 38

C)y = 1.52x + 38

D)y = -1.52x + 38

67. A delivery service company maintains several vehicles. The table summarizes the cost forauto insurance related to the number of vehicles insured.

Using the equation of a line of best fit for the data, which is the closest estimate of the total costof insuring eight vehicles?

A)$5,050

B)$5,200

C)$5,500

D)$5,950



68. An engine is tested for torque output at different revolutions per minute.

Which equation most closely defines the line of best fit for the data?

A)y= 4.1x+ 414

B)y= –4.1x +414

C)y= 3.1x+ 383

D)y= –3.1x+ 383

69. A landing pad for a helicopter is in the shape of a circle with a radius of 7 meters. Which of the followingis closest to the area of the landing pad?

A)44 square meters

B)154 square meters

C)205 square meters

D)308 square meters

70. A restaurant prints a unique survey code that can only be used one time and phone number at thebottom of each receipt. When a customer calls and answers the survey questions, a coupon for $5 off thenext visit to the restaurant is mailed to the customer. Which best describes the greatest source of biaswith this survey method?A)People may not answer the questions truthfully.

B)Only one person per receipt gets to participate in the survey.



C)Only people with access to a telephone can participate in the survey.

D)Participants are more likely to be satisfied customers who plan on returning to the restaurant.

71. Paul randomly selected 25 people from among several thousand people who had placed orders using hiscompany’s online catalog. He computed a mean online order to be $45.05, with a margin of error of $6.25.If he had randomly selected 100 people from that same population instead of 25, which result is mostlikely?A)same mean and larger margin of error

B)same mean and smaller margin of error

C)different mean and larger margin of error

D)different mean and smaller margin of error

72. The scatter plot shows the relationship between the popcorn sales and the bottled water sales for eachbasketball game.

Which statement can be concluded from the data?

A)The data has a weak correlation and demonstrates causation.

B)The data has a strong correlation and demonstrates causation.

C)The data has a weak correlation and does not demonstrate causation.

D)The data has a strong correlation and does not demonstrate causation.

73. A group of 7 senior citizens is traveling together on a bus tour. Their mean age is 81.4 years, and thestandard deviation is 2.4 years. The bus driver is 25 years old. If the bus driver’s age is included in thedata set, which statement could be true?

A)The new mean is 50% less.

B)The new mean is 50% greater.



C)The new standard deviation is 50% less.

D)The new standard deviation is 50% greater.

74. Dale graphed a set of points to determine the relationship between the cost, x, of a product and thetotal profit, y, from the sale of the product. The resulting scatter plot showed a quadratic relationship.Which set of points could be the ones Dale graphed?

A)

B)

C)

D)

75. The table shows data for the three types of questions on Ms. Warner's algebra quiz.

Each type of question has one correct answer. What is the probability of randomly answering a Type IIIquestion correctly?

A)

B)

C)

D)

76. Canyon High School had 124 of its 250 seniors visit colleges during their senior year. Of those seniorsthat visited colleges, 70 visited only one college, 44 visited exactly two colleges, and the remaining visitedmore than two colleges. Which percent is closest to the likelihood that a senior who visited a college duringsenior year visited two or more colleges?



A)8%

B)22%

C)36%

D)44%

77. LaTonya read an article that stated 70% to 95% of all people write with their right hand. She wanted tosee whether the percentage stated is true for the students of her school. She interviewed the first 40students she saw entering school one morning. Twenty-seven of those students said they write with theirright hand. Which statement is true?

A)LaTonya used randomization in selecting her sample data.

B)LaTonya’s sample was not large enough to draw a valid statistical conclusion.

C)If LaTonya had asked another group of 40 students in her school the same question, her results wouldlikely be different.

D)The proportion of right-handed writers in LaTonya’s school does not lie within the interval of proportionsstated in the article.

78. During a recent election, two candidates running for mayor made the following claims about funding forthe city’s libraries.

Candidate 1: “More than 68% of the voters want to increase funding.”Candidate 2: “Fewer than 44% of the voters want to increase funding.”

Suppose that after those remarks were made, a random sample of 125 potential voters showed that xpeople wanted to increase funding for the libraries. Which value of x is the best indication that neithercandidate has valid evidence to support their claim?

A)30

B)55

C)70

D)85



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