Borck Test 2 (tborck2)
Name:_____________________________________________
Date:________________________
1. What is the median of the numbers?
12 7 22 15 31
A. 12
B. 15
C. 22
D. 87
2. Jamie rolls two six-sided number cubes. What is the probability that the sum of the numbers on the cube
faces will be greater than or equal to 7?
A.
B.
C.
D.
3. Marissa has a collection of the new quarters that commemorate the 50 states. There are 9 Georgia quarters,
8 Virginia quarters, and 7 Connecticut quarters. If Marissa randomly chooses one of these quarters, what is
the probability it will be a Georgia quarter?
A.
B.
C.
D.
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Borck Test 2 (tborck2)
4. The probability that a customer will bring 1, 2, 3, 4, 5, or 6 items to the express lane in a grocery store is shown in
the chart below.
What is the probability that a customer will bring less than 5 items to the express lane?
A. 0.11
B. 0.31
C. 0.44
D. 0.75
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5. Travis is rolling a fair number cube with faces numbered 1 through 6. What is the probability that the result on his
next roll will be an odd number?
A. 1 out of 6
B. 2 out of 6
C. 3 out of 6
D. 6 out of 6
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6. Shelley is registering at a hotel that has 14 rooms available on the first floor, 10 rooms available on the second
floor, and 16 rooms available on the third floor. If Shelley is assigned one of these hotel rooms at random, what is the
probability that it will be on the second floor?
A.
B.
C.
D.
This online assessment item contains material that has been released to the public by the Massachusetts Department of Education.
7. The line plot below shows the number of people in each student's household for a class of students.
What is the mean number of people in households for this class of students?
A. 3
B. 3.5
C. 4
D. 6
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8. Kyra will toss a number cube that has faces numbered 1 through 6. What is the probability that the cube will land
with an even number showing on the top face?
A.
B.
C.
D.
This online assessment item contains material that has been released to the public by the Massachusetts Department of Education.
9. Jiro bowled 7 games in a tournament. The list below shows his scores for those 7 games.
What is the mode of Jiro's scores?
A. 155
B. 157
C. 158
D. 160
This online assessment item contains material that has been released to the public by the Massachusetts Department of Education.
10. Sina's goal is to exercise a mean of 45 minutes per day for one week. For the first 6 days of the week, she
exercised 35, 40, 37, 42, 45, and 50 minutes.
What is the number of minutes Sina must exercise on the 7th day of the week to reach her goal exactly?
A. 21 minutes
B. 42 minutes
C. 49 minutes
D. 66 minutes
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Borck Test 2 (tborck2)
11. The table below shows the average depth of each of the five deepest oceans and seas in the world.
What is the median depth of these five oceans and seas?
A. 13,215 feet
B. 13,002 feet
C. 12,880 feet
D. 10,650 feet
This online assessment item contains material that has been released to the public by the Massachusetts Department of Education.
12. In Mr. Montgomery's class, there are 8 boys and 12 girls. If Mr. Montgomery selects 1 student from his class at
random, what is the probability that the student will be a girl?
A.
B.
C.
D.
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13. Jennifer put 4 red checkers and 10 black checkers into an empty paper bag. Without looking, she picked one of
the checkers from the bag. What is the probability that the checker she picked was red?
A.
B.
C.
D.
14.
The weather forecast predicts a 50% chance of rain today and a 20% chance of rain tomorrow. What is the
probability that it will rain today but NOT tomorrow?
A. 70%
B. 50%
C. 40%
D. 10%
15.
The door of Mr. Smith's garage has 400 square feet of surface area. Twenty-five square feet of the door is glass.
During a neighborhood baseball game, a ball is thrown wildly and hits the garage door. What is the probability
that the ball hit a window?
A. 1:4
B. 1:16
C. 1:25
D. 1:400
16. In the school band there are 15 sophomores, 25 juniors, and 40 seniors. What is the probability that the band
director will randomly select a junior to keep the attendance records for the weekly practices?
A. 1:25
B. 1:3
C. 5:16
D. 5:8
17. What is the mode of the following set of numbers: 2, 3, 3, 6, 4, 5, 3, 4, 7, and 3?
A. 3
B. 4
C. 5
D. 7
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18. The test scores for Mrs. Jones's class were as follows: 90, 85, 66, 100, 82, 95, 80, 70, 90, 90, 84, 94, 78, 90, 50,
60, 80, 65.
What is the range of the data?
A. 90
B. 83
C. 81
D. 50
19. Alice has scored 92, 72, and 79 on the last three mathematics tests. What is the average (mean) of these three test
scores?
A. 77
B. 79
C. 81
D. 92
20. The soccer team scored 3 goals in its first game, 7 goals in the next game, and 2 goals in the last game. Which
was the average (mean) number of goals the team scored per game?
A. 4
B. 5
C. 7
D. 12
21. The soccer team scored 3 goals in each of their first two games, 7 goals in the next game, and 2 goals in each of
the last four games. What was the average (mean) number of goals the team scored per game?
A. 2
B. 3
C. 4
D. 5
22. Betsy's spelling test scores were 65, 80, 85, 70, and 70. What is her average (mean) score in spelling?
A. 65
B. 70
C. 74
D. 75
23. There are one yellow ball, two green balls, three red balls, and four blue balls in a box. If you closed your eyes
and picked a ball, what color would most likely be picked?
A. yellow
B. green
C. red
D. blue
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Borck Test 2 (tborck2)
24. A jar has 25 green grapes and 75 purple grapes. What is the probability that a purple grape will be chosen at
random?
A.
B.
C.
D.
25. There is a box that contains one yellow pencil, two green pencils, three red pencils, and four blue pencils. If you
picked one pencil out of the box without looking, which color would most likely be picked?
A. blue
B. green
C. yellow
D. red
26.
Which is the mean number of hours the students study per week as shown in the chart?
A. 2
B. 4
C. 5
D. 7
27. At a basketball game, 12 out of the first 40 people who enter the gym are wearing hats. If this sample is
representative of the 250 people attending the game, about how many of them will probably be wearing hats?
A. 65 people
B. 70 people
C. 75 people
D. 80 people
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Borck Test 2 (tborck2)
28. At Chesak Elementary School, 2 out of 3 students have brown eyes. Approximately how many students have
brown eyes if the building has 432 students?
A. 144 students
B. 216 students
C. 288 students
D. 324 students
29.
Jan has a cookie jar that contains five peanut butter cookies, eight chocolate chip cookies, and twelve oatmeal raisin
cookies. Jan reaches in and grabs a cookie, what is the probability that she will get a chocolate chip cookie?
A.
B.
C.
D.
30.
What is the approximate median number of orange Skittles in a bag?
A. 4
B. 6
C. 8
D. 12
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31.
The five number summary for a set of data is shown.
min: 1
Q1: 5
Q2: 24
Q3: 37
max: 45
What is the interquartile range for this set of data?
A. 44
B. 1-45
C. 32
D. 5-37
32.
Vicki measured the length of 8 leaves. The lengths were 10 cm, 12 cm, 15 cm, 15 cm, 19 cm, 11 cm, 18 cm, and 15
cm. What is the interquartile range of Vicki's data?
A. 1
B. 3
C. 5
D. 6
33.
What is the median weight of the computer boxes?
A. 101
B. 102
C. 103
D. 104
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Borck Test 2 (tborck2)
34.
Which type of sampling is best for selecting a representative sample?
A. Stratified
B. Cluster
C. Random
D. Systematic
35. A study was conducted to determine the effectiveness of a speed limit sign. The speeds of cars at the 65 mph
sign were:
60 70 65 70 85 74 58 71 88 65
Which box-and-whisker plot correctly displays the information?
A.
B.
C.
D.
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36.
What is the mean height of the players in the starting lineup of the Alton Tigers?
A. 67.4 in.
B. 68.8 in.
C. 72 in.
D. 74 in.
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© Virginia Department of Education
37. These are the sides of a number cube used in a game.
Sam will win the game he is playing if he gets a number less than 3 the next time he rolls the number cube.
What is the probability that Sam will win the game on his next roll?
A.
B.
C.
D.
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© Virginia Department of Education
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38. Darrell had biology test scores of
76, 78, 76, 82, 62, and 100.
For this data, which measure is greatest?
A. Mean
B. Median
C. Mode
D. Range
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© Virginia Department of Education
39. Sally recorded her daily grades for one grading period.
88, 88, 87, 92, 78, 88, 93, 100, 92, 90, 92, 92
What was her mean grade?
A. 92
B. 91
C. 90
D. 88
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© Virginia Department of Education
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Borck Test 2 (tborck2)
40. The chart below shows the ages in years of the girls on two Olympic teams.
What is the difference in the median ages of the two teams?
A. 0 yrs
B. 1 yrs
C. 2 yrs
D. 3 yrs
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© Virginia Department of Education
41. Mr. Rampell gave 9 students a makeup exam. The scores were 79, 68, 100, 79, 84, 92, 68, 100, and 68. What
was the mode of these scores?
A. 84
B. 82
C. 79
D. 68
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© Virginia Department of Education
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42.
Which diagram shows all the possible combinations of 1 shirt, 1 pair of shorts, and 1 kind of shoes?
A.
B.
C.
D.
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© Virginia Department of Education
43. In a bag of candies there are 13 red candies, 13 green candies, 13 yellow candies, and 13 blue candies. If you
choose 1 candy from the bag, what is the probability the candy will not be blue?
A.
B.
C.
D.
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© Virginia Department of Education
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44. {5, 6, 6, 8, 9, 10}
For the data set shown, which measure is the greatest?
A. Mean
B. Median
C. Mode
D. Range
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© Virginia Department of Education
45. Tommy and Jeremy are pitchers for the baseball team and are being evaluated by the coach. The speeds in
miles per hour of each of their practice pitches are shown below.
Which of the following statements is true regarding their performances?
A. Tommy has a lower mean speed.
B. Tommy has a greater range of speeds.
C. Tommy has a lower median speed.
D. Jeremy's median speed is higher than Tommy's mean speed.
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© Virginia Department of Education
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Borck Test 2 (tborck2)
46. The table below shows the number of boxes of cookies sold by members of two softball teams, the Hawks
and the Tigers.
What is the difference in the mean number of cookies sold by the two teams?
A. 2.5
B. 4.5
C. 6
D. 14
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© Virginia Department of Education
47. 76, 79, 75, 77, 74
For the data listed, the value 76.2 represents the —
A. median
B. mode
C. range
D. mean
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© Virginia Department of Education
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Borck Test 2 (tborck2)
48. Mark has a basket of 40 yellow tennis balls and 35 white tennis balls. What is the probability that the next
tennis ball he randomly chooses will be yellow?
A.
B.
C.
D.
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© Virginia Department of Education
49. {5, 6, 6, 8, 9, 10}
For the data set shown, which measure is the greatest?
A. Mean
B. Median
C. Mode
D. Range
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© Virginia Department of Education
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Borck Test 2 (tborck2)
Answer Key
1. B) 15
2. D)
3. B)
4. C) 0.44
5. C) 3 out of 6
6. A)
7. C) 4
8. D)
9. D) 160
10. D) 66 minutes
11. C) 12,880 feet
12. B)
13. C)
14. C) 40%
15. B) 1:16
16. C) 5:16
17. A) 3
18. D) 50
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Borck Test 2 (tborck2)
19. C) 81
20. A) 4
21. B) 3
22. C) 74
23. D) blue
24. C)
25. A) blue
26. C) 5
27. C) 75 people
28. C) 288 students
29. B)
30. C) 8
31. C) 32
32. D) 6
33. C) 103
34. C) Random
35. A)
36. B) 68.8 in.
37. B)
38. A) Mean
39. C) 90
40. A) 0 yrs
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Borck Test 2 (tborck2)
41. D) 68
42. C)
43. D)
44. A) Mean
45. B) Tommy has a greater range of speeds.
46. A) 2.5
47. D) mean
48. C)
49. A) Mean
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