Worksheets7th Grade Bootcamp SP 1-8 Review
Total questions: 62
Worksheet time: 1hrs 2mins
Kate conducts a survey at her middle school to determine the students' favorite sport. Which sampling method would best produce a representative sample of the population?
A. Kate surveys the football team.
B. Kate surveys seventh grade students.
C. Kate surveys every 4th student entering the school.
D. Kate surveys every 8th student from a roster of the choir members.
Mr. Harris wants to find out if the new tardy policy is effective. Where should he conduct his research to ensure an unbiased survey?
at the school entrance after the bell rings to signal the beginning of school
at Saturday School where tardy students are assigned after 6 tardies
at the school entrance before the bell rings to signal the beginning of school
at the next parent-teacher meeting
Luzminda takes a survey to find out what snack food students like in her elementary school. How should she collect the data to get the most accurate information?
approach students in the hall at lunchtime to fill out a questionnaire
have students put up their hands to vote for certain choices
leave a pile of questionnaires in the hallway for students to pick up and fill in
get a random sample of students from each grade to fill out a questionnaire
Diane decides to find out what snack food students like at her elementary school. What should she do to get the most accurate information?
ask her friends
take a survey among the girls in her class
take a survey among students in each grade
find out what was ordered last year
A spinner face is divided into 8 sections and each section is either blue, orange, black, or pink. The spinner is spun 24 times and the results are shown in the chart. How many sections of the spinner would you expect to be black?
1
2
5
6
A company manufactures cell phones. In August, a random sample of 125 cell phones was inspected, and 3 phones were found to be defective. The company manufactured 8,000 cell phones in August. Based on the results from the sample, about how many cell phones are expected to be defective?
64 cell phones
192 cell phones
2,667 cell phones
3,360 cell phones
Which statement correctly compares the two data sets?
A. The median in August is about half of the median in November.
B. The median in November is about 400 more than the median in August.
C. The difference in the medians is about half of the range in November.
D. The difference in the medians is about half of the interquartile range in August.
Ryan created the line plots to determine overlap between laps completed during 8th Grade Fitness Day and 6th Grade Fitness Day. Which of these describes the overlap of the two data sets?
Both grades had students that completed between 1 and 3 laps.
Both grades had students that completed between 4 and 9 laps.
Both grades had students that completed between 6 and 15 laps.
No overlap. The two grades had completely different numbers of laps completed.
Victoria lives in Vermont and her cousin, NaDalia lives in North Dakota. The girls researched population distribution in the two states and displayed the data in a graph. Compare the data sets.
A. The urban population of Vermont is about 2 times the urban population of North Dakota.
B. The total rural population of the states is less than half the total urban population of the states.
C. The rural population of Vermont is about half the rural population of North Dakota.
D. The urban population of Vermont is about 3 times the urban population of North Dakota.
Describe the variability between retirement savings for the younger and older age groups.
The savings rate of the young was less than half the savings rate of the old.
The savings rate of the old was double the savings rate of the young.
The savings rate of the old was less than half the savings rate of the young.
The savings rate of the old was more than 3 times the savings rate of the young.
Which of these describes the overlap of the data sets?
A. Both have fat contents between 12 and 17 grams.
B. Both have fat contents between 10 and 26 grams.
C. Both have fat contents between 14 and 19 grams.
D. There is no overlap of the data sets.
Which of these describes the variability between the two data sets?
A. The difference between means is 4 which is about 2 times the variability of the data sets.
B. The difference between means is 4 which means the 8th Grade data set has a greater range.
C. The difference between MAD of the data sets is 0.5 laps which indicates little variability.
D. The variability cannot be determined.
Based on the samples, which statement best compares the length of the fish in each pond?
A. The fish in Pond A are generally longer and have less variability than the fish in Pond B
B. The fish in Pond A are generally longer and have greater variability than the fish in Pond B
C. The fish in Pond A are generally shorter and have less variability in length than the fish in Pond B.
D. The fish in Pond A are generally shorter and have greater variability in length than the fish in Pond B.
Based on the data, select the box to indicate whether each statement is True or False. The mean height of the 7th grade girls is greater than the mean height of the 8th grade girls. True/False
True
False
Based on the data, select the box to indicate whether each statement is True or False. The heights of 8th grade girls varies more than the heights of 7th grade girls. True/False
True
False
Based on the data, select the box to indicate whether each statement is True or False. The girls in both grades have the same median height. True/False
True
False
For which group of data does the median equal the mean?
84, 84, 85, 86
74, 79, 82, 87
63, 66, 67, 68
14, 16, 18, 19
Which measure of center gives a better sense of the price of gas during the 10 month period?
mean because it includes the extremes of 3.38and 3.96
mean because it indicates absolute price per gallon
median because it leaves out the extremes of 3.38and 3.96
median because it indicates the expected range of gas prices
Which event is most likely to occur?
tossing a fair coin and landing on heads
spinning a 3 on a spinner divided into 4 equal sections numbered 1 through 4
picking a red marble from a bag of marbles that contains 3 blue, 4 red, and 2 green marbles
rolling a number cube that has sides numbered 1 through 6 and landing on a number less than 5
A middle school is having a raffle for a laptop. The school will draw the winning ticket once all 450 tickets have been sold. Mark bought 5 tickets.
What is the probability of winning the laptop if one ticket is purchased?
Express the answer as a decimal rounded to the nearest thousandth.
(a)
A middle school is having a raffle for a laptop. The school will draw the winning ticket once all 450 tickets have been sold. Mark bought 5 tickets.
What is the probability that Mark will win the laptop?
Express the answer as a decimal rounded to the nearest hundredth.
(a)
Choose a word or phrase to describe the chances of winning the following game. The spinner is spun once and if it lands on an A, B, or C the player wins.
impossible
equal chance
likely
certain
Which number could be used to express the probability of an event occurring?
-3/4
1/4
7/4
2 1/4
Choose a word or phrase to describe the chances of winning the following game. The spinner is spun once and if it lands on a vowel the player wins.
impossible
unlikely
equal chance
certain
Given:
Event A: Rolling an odd number on a single die.
Event B: Rolling a sum less than 7 on a pair of dice.
Which event would have the greater probability of occurring?
Event A has the greater probability.
Event B has the greater probability.
Event A and Event B have the same probability of occurring.
Event A and Event B are not possible.
A fair number cube, with numbers 1 through 6, was rolled 200 times. The number 5 was rolled 34 times. If the number cube was rolled 300 times, approximately how many times would the number 5 be rolled?
9 times
15 times
51 times
134 times
Based on the data in the table, how many times would you expect the spinner to land on green if Jamie spun the spinner 400 times?
20 times
67 times
80 times
100 times
What fraction describes the likelihood that a striped marble will be pulled from the bag?
21
31
32
94
Andy put 8 letter cards into a box. He reaches in, chooses a card, reads the letter, and returns it to the box. On the 20th time he chooses a card, what is the probability that Andy will choose an 'R'?
1/20
1/10
1/8
1/4
In an apartment building with 60 tenants, 15 people own dogs, 20 own cats, 6 own fish, and 19 have no pets. Based on this data, for each number select the probability it represents.
Probability of owning a pet
41/60
1/10
1/3
In an apartment building with 60 tenants, 15 people own dogs, 20 own cats, 6 own fish, and 19 have no pets. Based on this data, for each number select the probability it represents.
Probability of owning a cat
41/60
1/10
1/3
In an apartment building with 60 tenants, 15 people own dogs, 20 own cats, 6 own fish, and 19 have no pets. Based on this data, for each number select the probability it represents.
Probability of owning fish
41/60
1/10
1/3
If Thao picks one tile without looking, what is the probability that the number on the tile will be a multiple of 6?
3/10
2/9
1/2
2/5
If you take a number from this box without looking, what is the probability of drawing a 5?
30%
15%
20%
25%
The faces of a cube are numbered one to six. If this cube is tossed, what is the probability of getting a 1?
61
31
21
65
If one marble is picked from the bag, what is the probability of getting a red or green color?
61
125
21
95
What is the probability that the spinner will not land on blue?
31
53
32
43
A coin is flipped 60 times, resulting in 12 heads and 48 tails. What is the observed probability of the coin landing on heads?
51
41
21
54
Out of a bag containing marbles of three different colors, 40 are drawn. The frequency of different colors drawn is shown in the table. Based on this table what would be the probability of drawing a white marble?
81
41
21
85
Use the frequency table and the sentence in bold type to find the probability of picking the letter E in the sentence.
If a man does his best, what else is there?
163
323
41
83
In a bag of marbles there are 6 purple marbles, 3 green marbles, and 3 red marbles. Which spinner could be used to simulate pulling a marble out of the bag without looking?
A
B
C
D
Which spinner could not be used to simulate a baby being born male or female?
A. A spinner with 2 equal sections
B. A spinner with 3 equal sections
C. A spinner with 6 equal sections
D. A spinner with 10 equal sections
The Lighton Motel chain claims that 5 out of every 6 travelers prefers to stay in their motels. A college research group randomly surveyed 100 travelers and found that 35 travelers preferred Lighton Motels. What can be concluded?
A. The difference in results is acceptable and the company's claim is valid
B. The survey did not have a big enough sample size
C. Travelers prefer hotels over motels
D. The difference in results is greater than expected and the company's claim is invalid
Cai needs to roll a dice for an experiment. However, she cannot find a dice. Which model could she use to simulate rolling a dice?
A coin
A spinner with 6 equal sections of different colors
A regular deck of 52 cards
A bag of 2 red, 2 white, and 2 blue marbles
Jaime rolls a number cube and spins a colored spinner. The spinner is divided into three equal sections. The tree diagram shows all the possible outcomes that can occur. Which statements are true? Select two that apply.
The probability of Jaime rolling a 5 on the number cube and the spinner landing on red is 81 .
The probability of Jaime rolling a 3 on the number cube and the spinner landing on blue is 61 .
The probability of Jaime rolling a 2 or 3 on the number cube and the spinner landing on green is 181 .
The probability of Jaime rolling an even number on the number cube and the spinner landing on blue is 61 .
The probability of Jaime rolling a 1 on the number cube and the spinner landing on blue or green is 91 .
Raul has a fair coin and a spinner divided into four congruent sections labeled A, B, C, and D. Raul will toss the coin once and then spin the spinner. Which tree diagram correctly shows all the possible outcomes?
A
B
C
D
If the meat is chosen at random, according to this chart what is the probability ham will be served?
A. 61
B. 41
C. 31
D. 32
Two cubes, each numbered 1–6, are thrown. What is the probability their sum will be 4? (Use the table of sums to help determine the answer.)
A. 121
B. 61
C. 41
D. 31
In the diagrams, the two circles are divided into four equal parts. The first spinner is spun followed by the second. A character is formed consisting of a symbol and a number. Find the probability that the character formed has a spade or diamond followed by an even number.
161
41
163
31
Riva has one nickel, one dime, and one quarter in her pocket. Riva picks one coin at random. Without replacing the coin, she picks a second coin. Using the tree diagram drawn what is the probability that the two coins picked have a sum of exactly 30 cents?
A. 31
B. 21
C. 65
D. 109
If a fair coin is tossed 3 times, what is the probability of getting heads, then tails, and then heads again?
A. 1/4
B. 1/8
C. 1/32
D. 1/16
For her school uniform, Pamela can choose from three pairs of pants and four shirts. The pants colors are black, gray, and khaki. The shirt colors are black, white, purple, and yellow. Use the boxes in the tree diagram to show the color combinations that she can wear. If she chooses her pants and shirt randomly, find the probability that she is not wearing yellow.
A. 2/3
B. 1/3
C. 1/6
D. 1/12
What is the probability of tossing 4 heads?
1/2
1/16
1/32
1/4
If you toss a coin and spin the spinner, what is the probability of heads and blue?
A. 1/8
B. 3/8
C. 1/2
D. 3/4
Maurice has 10 coins in his pocket. He has 4 pennies, 2 nickels, 1 dime, and 3 quarters. If he pulls 5 coins out of his pocket, which of the following is a possible selection?
DDDPP
NNNQQ
QQQPP
NNDDD
The box contains 5 counters. They are the same size and shape but have different patterns. Which is a possible outcome if 3 counters are selected from the box at one time?
A
B
C
D
On Heavenly Airlines, passengers can choose meat, chicken, or vegetarian dinners. They can also choose coffee, soda, or water to drink with their meals. Which diagram shows all of the possible combinations of types of meals and drinks?
A
B
C
D
Mr. Daniels is going to wear a tuxedo to the party. He has two shirts that go with the tuxedo: plain and ruffled. He also has three bow ties: red, green, and blue. Which diagram shows every possible combination of shirt and bowtie that Mr. Daniels could wear with the tuxedo?
A
B
C
D
At Martha's restaurant, there are three kinds of drinks: Water, Juice or Coffee. Each drink comes in a small, medium, or large cup size. Which drawing shows all of the combinations of drinks and sizes?
A
B
C
D
7
3
9
1
0.64
0.17
0.25
0.80
0.17
0.25
0.80
0.08
