Directions: Answer the following questions. Show all of your work and circle your
final answer.
1. Decide if each of the following events is impossible, unlikely, equally likely
to occur or not occur, likely, or certain to occur. One term will be used
twice and one term will not be used at all.
a. A vowel (a vowel is the letters a, e, i, o, or u) will be picked when a
letter is randomly selected from the word “lieu”
__________________________________________________________________
b. A vowel will be picked when a letter is randomly selected from the
word “math.”
__________________________________________________________________
c. A blue cube will be drawn from a bag containing only five blue and
five black cubes.
__________________________________________________________________
d. A red cube will be drawn from a bag of 100 red cubes.
__________________________________________________________________
e. A red cube will be drawn from a bag of 10 red and 90 blue cubes.
__________________________________________________________________
Name: ______________________________
Date: March 8, 2017
Homeroom:
Mrs. Huber (614) 859-0019
7th Grade Math:
Unit: Statistics
and Probability
Packet 97:
Chance
Experiments
Redo:
Score: ________/5 _________% DNG A B C D F
Directions: Shade the squares below with a pencil, crayon, marker or highlighter
in order to match each situation.
1. Color the cubes below so that it would be equally likely to choose a black
or white cube.
2. Color the cubes below so that it would be likely but not certain to choose
a black cube from the bag.
3. Color the cubes below so that it would be unlikely but not impossible to
choose a black cube from the bag.
Directions: Answer the following questions. Show all of your work and circle your
final answer.
A seventh grade student surveyed students at her school. She asked them to
name their favorite pet. Below is a table showing the results of the survey.
Pet Frequency
Dog 9
Cat 6
Turtle 4
Snake 5
Fish 5
Gerbil 2
1. How many students answered the survey questions?
2. How many students said that the snake was their favorite pet?
Name: ______________________________
Date: March 9, 2017
Homeroom:
Mrs. Huber (614) 859-0019
7th Grade Math:
Unit: Statistics
and Probability
Packet 98:
Estimating
Probabilities
Redo:
Score: ________/5 _________% DNG A B C D F
3. What is the experimental probability of a student saying that a dog is
his or her favorite pet?
4. What is the experimental probability of a student saying that a gerbil is
his or her favorite pet?
5. What is the experimental probability of a student saying that a frog is
his or her favorite pet?
Directions: Answer the following questions. Show all of your work and circle your
final answer.
Directions: For questions 1-3, list the sample space (all the possible outcomes).
1. Selecting a marble from a bag containing 50 black marbles and 45
orange marbles.
2. Selecting a number from the even numbers 2-14, including 2 and 14.
3. Spinning the spinner below:
1
3
4
2
Name: ______________________________
Date: March 10, 2017
Homeroom:
Mrs. Huber (614) 859-0019
7th Grade Math:
Unit: Statistics
and Probability
Packet 99:
Equally Likely
Outcomes
Redo:
Score: ________/5 _________% DNG A B C D F
Directions: For questions 4-6, decide if the two outcomes are equally likely to
occur. Give a reason for your answer.
4. Selecting a black or an orange marble from a bag of 50 black and 45
orange marbles.
Yes No
______________________________________________________________________________
5. Landing on a 3 when spinning the spinner below.
1
3
4
2
Yes No
______________________________________________________________________________
6. Color the cubes below so that it would be more likely to choose a white
cube than a black cube.
Directions: Answer the following questions. Show all of your work and circle your
final answer.
1. The “Gator Girls” are a soccer team. The possible number of goals that
Gator Girls will score in a game and their probabilities are listed in the
table below.
Number of Goals 0 1 2 3 4
Probability 0.22 0.31 0.33 0.11 0.03
a. What is the probability that the Gator Girls will score more than two goals?
b. What is the probability that the Gator Girls will score at least two goals?
c. What is the probability that the Gator Girls do not score exactly 3 goals?
Name: ______________________________
Date: March 13, 2017
Homeroom:
Mrs. Huber (614) 859-0019
7th Grade Math:
Unit: Statistics
and Probability
Packet 100:
Outcomes Not
Equally Likely
Redo:
Score: ________/5 _________% DNG A B C D F
2. The diagram below shows a spinner. The pointer is spun, and the player is
awarded a prize according to the color on which the pointer stops.
a. What is the probability that the pointer stops in the red region?
3. Wayne asked every student in his class how many siblings (brother and
sisters) they had. Survey results are shown in the table. (Wayne included
himself in the results).
Number of Siblings 0 1 2 3 4
Number of Students 4 5 14 6 3
a. How many students are there in Wayne’s class?
b. What is the probability that a randomly selected student does not have
any siblings?
Directions: Answer the following questions. Show all of your work and circle your
final answer.
1. Create a tree diagram to represent the following situation. Work carefully
and neatly!
A pizza shop owner is trying to determine the number of different choices
a customer has when ordering a pizza. If you can choose between 3
different sizes, 2 different types of sauce, and five different toppings, how
many possible pizza combinations do you have?
Name: ______________________________
Date: March 14, 2017
Homeroom:
Ms. Huber (614) 859-0019
7th Grade Math:
Unit: Statistics
and Probability
Packet 101: Tree
Diagrams
Redo:
Score: ________/5 _________% DNG A B C D F
2. Create a tree diagram that represents the total number of different pies
that can be made from two different crust flavors, six different filling flavors
and 2 different types of pie pans.
3. Use the counting method to verify your answer to #2.
Directions: Answer the following questions. Show all of your work and circle your
final answer.
1. There are 8 red, 5 yellow, and 7 green cubes in a box. What is the
probability of drawing a yellow cube and then a green cube, if the first
cube is not replaced before the second cube is drawn?
2. There were 10 cards in a bag labeled 0-9. What is the probability of
drawing a “3” and then a “5” if the first card is not replaced before the
second is drawn?
Name: ______________________________
Date: March 15, 2017
Homeroom:
Ms. Huber (614) 859-0019
7th Grade Math:
Unit: Statistics
and Probability
Packet 102:
Compound
Probability
Redo:
Score: ________/5 _________% DNG A B C D F
Use the following information to answer questions 3-4.
Mike has 25 red tiles, 10 green tiles and 15 blue tiles in a bag. He draws a tile at
random from the bag, returns it to the bag, and draws a second tile.
3. What is the probability that the first tile is green and the second tile is blue?
4. What is the probability that the first and second tiles are both green?
5. What is the probability of the arrow landing on an odd number on this
spinner and rolling an odd number on the number cube with faces
numbered 1 to 6?
Directions: Answer the following questions. Show all of your work and circle your
final answer.
Suppose that a dartboard is made up of the 8 X 8 grid of squares shown below.
Also, suppose that when a dart is thrown, it is equally likely to land on any one of
the 64 squares. A point is won if the dart lands on one of the 16 black squares.
Zero points are earned if the dart lands in a white space.
1. For one throw of the dart, what is the probability of winning a point? Note
that a point is won if the dart lands on a black square.
2. For one throw of the dart, what is the probability of NOT winning a point?
Note that you do not earn any points if the dart lands on a white square.
Name: ______________________________
Date: March 16, 2017
Homeroom:
Ms. Huber (614) 859-0019
7th Grade Math:
Unit: Statistics
and Probability
Packet 103:
Simulations
Redo:
Score: ________/5 _________% DNG A B C D F
Suppose a game consists of throwing a dart three times. A trial consists of three
rolls of the number cube. (1 is a win, 2, 3, or 4 is a loss). The results of the
experiment are listed below.
324 332 411 322 124 224 221 241 111 223
321 332 112 433 412 443 322 424 412 433
144 322 421 414 111 242 244 222 331 224
113 223 333 414 212 431 233 314 212 241
421 222 222 112 113 212 413 341 442 324
3. For each roll, you can either win 0, 1, 2 or 3 points. For each outcome
listed in the table, how many points did you win?
324 321 144 113 421
332 332 322 223 222
411 112 421 333 222
322 433 414 414 112
124 412 111 212 113
224 443 242 431 212
221 322 244 233 413
241 424 222 314 341
111 412 331 212 442
223 433 224 241 324
4. You rolled the number cube 50 times. Write the probabilities for getting 0,
1, 2, or 3 points.
Number of
Points
0 1 2 3
Times You
Rolled
Probability
Directions: Answer the following questions. Show all of your work and circle your
final answer.
1. Nancy spins the spinner at the right 60 times. Predict how many times the
spinner will land on the number 2.
2. Predict the number of outcomes for each of the given number rolls on a
standard die.
a. Outcome: 7
Number of Rolls: 36
b. Outcome: Greater than 5
Number of Rolls: 120
Name: ______________________________
Date: March 20, 2017
Homeroom:
Mrs. Huber: (614) 859-0019
7th Grade Math:
Unit: Statistics
and Probability
Packet 105:
Probability and
Decision Making
Redo:
Score: ________/5 _________% DNG A B C D F
3. Ohio’s state flower is the scarlet carnation. A garden has 30 scarlet
carnation seeds and 9 of them sprout. Use experimental probability to
predict how many scarlet carnation seeds will sprout if you plant 50 seeds.
4. A pin is dropped at random onto the rectangle below. The pin lands in
one of the small squares. If you drop a pin 72 times, how many times
would you expect to land inside a white square?
Directions: Answer the following questions. Show all of your work and circle your
final answer.
1. The chart below shows the number of miles Sam drove each day for two
weeks.
What is the difference in average daily miles between the two weeks?
Average week 1:
Average week 2:
Difference:
Name: ______________________________
Date: March 21, 2017
Homeroom:
Mrs. Huber: (614) 859-0019
7th Grade Math:
Unit: Statistics
and Probability
Packet 106:
Measures of
Central
Tendency
Redo:
Score: ________/5 _________% DNG A B C D F
2. Veronica and James are both on a bowling team. Below are their bowling
scores. How much higher is Veronica’s median score than James’s
median score?
Veronica:
James:
Eli scored a 93, 97, 75, and 100 in four science tests. What will he need to score
on the 5th test to have a test average of exactly a 93?
Directions: Answer the following questions. Show all of your work and circle your
final answer.
1. In the data set below, what is the mean absolute deviation?
83, 55, 93, 53, 11, 44
Step One: Find the average of your data set.
Step Two: Calculate the absolute value of each data point’s distance from the
average found in step one.
Step Three: Find the average of those distances found in step two.
Name: ______________________________
Date: March 22, 2017
Homeroom:
Mrs. Huber: (614) 859-0019
7th Grade Math:
Unit: Statistics
and Probability
Packet 107:
Mean Absolute
Deviation
Redo:
Score: ________/5 _________% DNG A B C D F
2. In the data set below, what is the mean absolute deviation?
52, 90, 94, 38, 19
Step One: Find the average of your data set.
Step Two: Calculate the absolute value of each data point’s distance from the
average found in step one.
Step Three: Find the average of those distances found in step two.
Directions: Answer the following questions. Show all of your work and circle your
final answer.
For the box-and-whisker plot, identify the following.
1.) lower extreme ____________ 2.) lower quartile ____________
3.) upper extreme ____________ 4.) upper quartile ____________
The box-and-whisker plot shows the number of stories of buildings in
Cleveland, Ohio.
5.) About what fraction of the buildings have more than 46 stories?
Name: ______________________________
Date: March 23, 2017
Homeroom:
Mrs. Huber: (614) 859-0019
7th Grade Math:
Unit: Statistics
and Probability
Packet 108: Box
and Whisker
Plots
Redo:
Score: ________/5 _________% DNG A B C D F
Directions: Use your notes to complete the steps you need to follow in order
to create a box and whisker plot. After you have filled in the blanks, use the
data to create a box and whisker plot.
Step One: Put the data in ____________________.
Step Two: Find the ________________ of the _________________ data set.
Step Three: Find the _______________ of the two halves. These numbers will
become your ____________________ and ____________________ quartiles.
Step Four: Find the ____________________ and ____________________
extremes.
Step Five: Create a number line and graph your values!
The data: Math test scores 80, 75, 90, 95, 65, 65, 80, 85, 70, 100
Name: ______________________________
Date: March 28, 2017
Homeroom:
7th Grade Math:
Unit: Statistics
and Probability
Packet 111:
Random
Sampling
Directions: Answer the following questions. Read carefully to determine if it is
asking for you to identify the population or the sample.
1. You want to know how many students in your school are going to the
volleyball game. You survey 50 students. Ten are going to the game. The
rest are not going to the game. Identify the population and the sample.
2. A beverage company wanted to see if people in the United States liked
their new logo. Which choice BEST represents a population?
a. A selection of logo artists.
b. Every person in the United States.
c. A selection of shoppers from different states.
d. 3,800 children age 5-15.
3. A musician wanted to see what people who bought his last album
thought about the songs. Which choice BEST represents a random
sample?
a. Every person who bought the album.
b. A selection of people who didn’t want to buy the album.
c. 250 girls who bought the album.
d. A selection of 3,294 people who bought the album.
4. A gaming console website wanted to find out which console its visitors
owned. Which choice BEST represents a population?
a. Visitors to the 3DS section.
b. All of the website visitors.
c. Visitors to the PS4 sections.
d. Visitors who are on the website for more than 5 minutes.
5. A mayor wanted to see if the people in his town thought he was doing a
good job. Which choice BEST represents a random sample?
a. 1,000 unemployed voters.
b. The mayor’s family.
c. The residents of a town.
d. 242 voters.
6. Before a nationwide election, a polling place was trying to see who would
win. Which choice BEST represents a random sample?
a. A selection of voters over 50.
b. A selection of male voters.
c. All voters.
d. A selection of voters of different ages.
7. A restaurant chain wanted to find out how the customer experience was
in a store. Which choice BEST represents a random sample?
a. 1 out of every 35 customers.
b. All of the people who ate at a store.
c. 240 customers who spent more than $10.
d. 299 people who filled out complain cards.
Directions: Read the following scenarios. Determine if the sampling method used
would produce unbiased results. If you think the results are unbiased, explain
why. If you think the results are biased, what could you do to make it unbiased?
1. To evaluate customer satisfaction, a grocery store gives double coupons to
anyone who completes a survey as they enter the store. The store manager
determines that customers are very satisfied with their shopping experience in
his store.
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
2. To evaluate the integrity of underground water lines, the department of
public works randomly selects 20 sites in the city to unearth and observe the
water lines.
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
Name: ______________________________
Date: March 30, 2017
Homeroom:
Mrs. Huber: (614) 859-0019
7th Grade Math:
Unit: Statistics
and Probability
Packet 112:
Biased vs
Nonbiased
Samples
Redo:
Score: ________/5 _________% DNG A B C D F
3. To award prizes at a hockey game, four tickets with individual seat numbers
printed on them are picked from a barrel. Since Mrs. Petrozzi’s seat was not
picked, she assumes that they forgot to include her ticket in the drawing.
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
4. To evaluate the quality of their product, a manufacturer of cell phones
checks every 50th phone off the assembly line.
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
5. A magazine asks its readers to complete and return a questionnaire about
popular television actors.
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
Name: _____________________________
Date: April 3, 2017
Homeroom:
7th Grade Math:
Unit: Statistics
and Probability
Packet 114:
Statistics Review
TEST FRIDAY
1. Anita is in charge of ordering food for the snack bar at the upcoming
elementary school track meet. In order to make as much money as possible,
she should:
a. Order what she likes
b. Order what she thinks people will buy
c. Order something of everything
d. Make a survey of what students are most likely to buy
2. Diane decides to find out what snack food students like at her elementary
school. What should she do to get the most accurate information?
a. Ask her friends
b. Take a survey among the girls in her class
c. Take a survey among students in each grade
d. Find out what was ordered last year
3. Jung wanted to find out which band was most popular among the high
school students. Where should he conduct his survey to get the most
unbiased survey?
a. In the school cafeteria
b. At a school dance where band A is playing
c. At the record store where a member of band B is giving autographs
d. At the next school board meeting
4. Feticia wanted to find out which hip hop video was most popular among the
junior high school students. Where should she conduct her survey to get the
most unbiased survey?
a. At a teacher’s meeting
b. In her physical education class where her classmates all like jazz
c. In the band hall where hip-hop music is not allowed
d. At a school dance
5. Earl wanted to find out which sport was most popular among high school
students. Where should he conduct his survey to get the most unbiased
survey?
a. At a game for sport A
b. At the tryouts for sport B
c. At a chess club meeting
d. At physical education sign-ups
6. A track coach wanted to know how fast an average 7th grade girl at her
school could run a 400-meter dash. There are 55 seventh graders at her
school. How could the track coach find a reasonable estimate for the
average 400-meter time?
a. By asking one of the 7th grade girls how fast she could run
b. By timing one 7th grade girl and using that time
c. By timing two 7th grade girls and averaging their times
d. By timing twenty 7th grade girls and averaging their times
7. Jared checked the school soda vending machine sales each hour between
8 am and 3 pm. The 11 am count each day averaged about 20 sodas. Jared
then predicted about 20 sodas will be sold each hour of the day. What is
wrong with this prediction?
a. Students might buy pizza
b. It might start raining
c. More sodas are usually sold during lunchtime
d. Students may not have any more money
8. To show that M&M candy bags have more of a certain color than other
colors you could:
a. Survey your friends for the favorite M&M color
b. Sort several bags and calculate percentages
c. Count only the bag you just bought
d. Tell people to buy more M&Ms
Directions: Answer the following questions. Show all of your work and circle your
final answer.
1. The owner of a new coffee shop is keeping track of how much each
customer spends (in dollars). One hundred of these amounts are shown in
the table below. These amounts will form the population for this question.
𝟎 𝟏 𝟐 𝟑 𝟒 𝟓 𝟔 𝟕 𝟖 𝟗
𝟎 𝟔. 𝟏𝟖 𝟒. 𝟔𝟕 𝟒. 𝟎𝟏 𝟒. 𝟎𝟔 𝟑. 𝟐𝟖 𝟒. 𝟒𝟕 𝟒. 𝟖𝟔 𝟒. 𝟗𝟏 𝟑. 𝟗𝟔 𝟔. 𝟏𝟖
𝟏 𝟒. 𝟗𝟖 𝟓. 𝟒𝟐 𝟓. 𝟔𝟓 𝟐. 𝟗𝟕 𝟐. 𝟗𝟐 𝟕. 𝟎𝟗 𝟐. 𝟕𝟖 𝟒. 𝟐𝟎 𝟓. 𝟎𝟐 𝟒. 𝟗𝟖
𝟐 𝟑. 𝟏𝟐 𝟏. 𝟖𝟗 𝟒. 𝟏𝟗 𝟓. 𝟏𝟐 𝟒. 𝟑𝟖 𝟓. 𝟑𝟒 𝟒. 𝟐𝟐 𝟒. 𝟐𝟕 𝟓. 𝟐𝟓 𝟑. 𝟏𝟐
𝟑 𝟑. 𝟗𝟎 𝟒. 𝟒𝟕 𝟒. 𝟎𝟕 𝟒. 𝟖𝟎 𝟔. 𝟐𝟖 𝟓. 𝟕𝟗 𝟔. 𝟎𝟕 𝟕. 𝟔𝟒 𝟔. 𝟑𝟑 𝟑. 𝟗𝟎
𝟒 𝟓. 𝟓𝟓 𝟒. 𝟗𝟗 𝟑. 𝟕𝟕 𝟑. 𝟔𝟑 𝟓. 𝟐𝟏 𝟑. 𝟖𝟓 𝟕. 𝟒𝟑 𝟒. 𝟕𝟐 𝟔. 𝟓𝟑 𝟓. 𝟓𝟓
𝟓 𝟒. 𝟓𝟓 𝟓. 𝟑𝟖 𝟓. 𝟖𝟑 𝟒. 𝟏𝟎 𝟒. 𝟒𝟐 𝟓. 𝟔𝟑 𝟓. 𝟓𝟕 𝟓. 𝟑𝟐 𝟓. 𝟑𝟐 𝟒. 𝟓𝟓
𝟔 𝟒. 𝟓𝟔 𝟕. 𝟔𝟕 𝟔. 𝟑𝟗 𝟒. 𝟎𝟓 𝟒. 𝟓𝟏 𝟓. 𝟏𝟔 𝟓. 𝟐𝟗 𝟔. 𝟑𝟒 𝟑. 𝟔𝟖 𝟒. 𝟓𝟔
𝟕 𝟓. 𝟖𝟔 𝟒. 𝟕𝟓 𝟒. 𝟗𝟒 𝟑. 𝟗𝟐 𝟒. 𝟖𝟒 𝟒. 𝟗𝟓 𝟒. 𝟓𝟎 𝟒. 𝟓𝟔 𝟕. 𝟎𝟓 𝟓. 𝟖𝟔
𝟖 𝟓. 𝟎𝟎 𝟓. 𝟒𝟕 𝟓. 𝟎𝟎 𝟓. 𝟕𝟎 𝟓. 𝟕𝟏 𝟔. 𝟏𝟗 𝟒. 𝟒𝟏 𝟒. 𝟐𝟗 𝟒. 𝟑𝟒 𝟓. 𝟎𝟎
𝟗 𝟓. 𝟏𝟐 𝟓. 𝟓𝟖 𝟔. 𝟏𝟔 𝟔. 𝟑𝟗 𝟓. 𝟗𝟑 𝟑. 𝟕𝟐 𝟓. 𝟗𝟐 𝟒. 𝟖𝟐 𝟔. 𝟏𝟗 𝟓. 𝟏𝟐
a. Let’s select a random sample of size 5 from the population above. Fill in
the following table.
Random Number Corresponding Population Observation
26 $4.22
92
55
71
02
b. Calculate the sample mean.
Name: ______________________________
Date: April 5, 2017
Homeroom:
Mrs. Huber: (614) 859-0019
7th Grade Math:
Unit: Statistics
and Probability
Packet 115:
Sample Size
Redo:
Score: ________/5 _________% DNG A B C D F
Use the following information to answer questions 2-3.
Two dot plots are shown below. One of the dot plots shows the values of some
sample means from random samples of size 5 from the population given in Part
A. The other dot plot shows the values of some sample means from random
samples of size 20 from the population given in Part A.
Dot Plot A
Dot Plot B
2. Which dot plot is for sample means from samples of size 5? How do you
know? Answer in complete sentences.
3. Which dot plot is for sample means from samples of size 20? How do you
know? Answer in complete sentences.
Directions: Classify the triangles below based on their angles and sides.
Angles: ______________________________
Sides: ________________________________
Angles: ______________________________
Sides: ________________________________
Angles: ______________________________
Sides: ________________________________
Angles: ______________________________
Sides: ________________________________
Directions: Can the angles in a triangle have the measures given?
1. 143˚, 27˚, 10˚ __________________________________________________________
2. 104˚, 42˚, 44˚ __________________________________________________________
Name: _____________________________
Date: April 10, 2017
Homeroom:
Mrs. Huber: (614) 859-0019
7th Grade Math:
Unit: Geometry
Packet 117:
Triangles
Redo:
Score: ________/5 _________% DNG A B C D F
Directions: Find the value of x in the triangles below. Then classify the triangles
by its sides and angles.
x = __________
Angles:
Sides:
x = __________
Angles:
Sides:
x = __________
Angles:
Sides:
x = __________
Angles:
Sides:
Directions: Decide whether each set of numbers is a triangle.
1. 15, 12, 9
2. 23, 16, 7
3. 20, 10, 9
4. 8.5, 6.5, 13.5
5. 47, 28, 70
6. 28, 41, 13
7. 5, 10, 15
8. 9, 40, 41
Name: _____________________________
Date: April 11, 2017
Homeroom:
Mrs. Huber: (614) 859-0019
7th Grade Math:
Unit: Geometry
Packet 118:
Triangle
Inequality
Theorem
Redo:
Score: ________/5 _________% DNG A B C D F
9. 12, 2.2, 14. 10. 6, 9, 16
Directions: The measures of two sides are given. Between what two numbers
must the third side fall?
11. 9 and 15
12. 11 and
20
13. 23 and 14
14. 5 and 8
15. 15 and 18
Directions: Answer the following questions. Show all of your work
and circle your final answer.
1. Use the figures below to answer the following questions.
a. Which angle is congruent to: U _________ T _________ V _________
b. Which side is congruent to:
TU __________ TV __________ UV __________
c. Write a correct congruence statement about the
triangles. (Example: GHI JKL)
2. Complete each congruence statement.
HGI __________
JKL __________
IGH __________
LJK __________
Name:
_____________________________
Date: April 12, 2017
Homeroom:
Mrs. Huber: (614) 859-0019
7th Grade
Math:
Unit:
Geometry
Packet
119:
Identical
Triangles
Redo:
Score: ________/5 _________%
DNG
A B C
D F
3. Complete each congruent statement. ATM __________ TMA __________
MAT __________
TAM __________
4. State whether the following appear to be true or false.
a.) PUT RAZ True False
b.) TUP RZA True False
c.) UPT ARZ True False
d.) PTU RZA True False
Name: _____________________________
Date: April 14, 2017
Homeroom:
7th Grade Math:
Unit: Year
Review
Packet 121: Year
Review 2
1. What is the value of the expression?
8
15+ (−0.35)
a. −75
14
b. −32
21
c. −21
32
d. −14
75
2. What is the value of the expression below?
a. -2.5
b. -2.3
c. 2.3
d. 2.5
Work:
Work:
3. Which expression is equivalent to 4 – (-7)?
a. 7 + 4
b. 4 – 7
c. -7 – 4
d. -4 + 7
4. The elevation at ground level is 0 feet. An elevator starts 90 feet below
ground level. After traveling for 15 seconds, the elevator is 20 feet below
ground level. Which statement describes the elevator’s rate of change in
elevation during this 15-second interval?
a. The elevator traveled upward at a rate of 6 feet per second.
b. The elevator traveled upward at a rate of 42
3 feet per second.
c. The elevator traveled downward at a rate of 6 feet per second.
d. The elevator traveled downward at a rate of 42
3 feet per second.
5. Which expression represents the product of 3 and (6
4𝑛 + 1.8)?
a. 5.55n
b. 9.15n
c. 3.75n + 1.8
d. 3.75n + 5.4
Work:
Work:
Name: _____________________________
Date: April 24, 2017
Homeroom:
7th Grade Math:
Unit: Year
Review
Packet 122: Year
Review 3
1. A recycling plant processes an average of 1
3 ton of glass each minute. At
approximately what rate does the recycling plant process glass, in tons
per day? (1 day = 24 hours)
a. 20
b. 180
c. 480
d. 4,320
2. When Keisha installed a fence along the 200-foot perimeter of her
rectangular back yard, she left an opening for a gate. In the diagram
below, she used x to represent the length, in feet, of the gate.
What is the value of x?
a. 10
b. 20
c. 25
d. 30
Work:
Work:
3. Last year, 950 people attended a town’s annual parade. This year, 1,520
people attended. What was the percent increase in attendance from last
year to this year?
a. 37.5%
b. 57.0%
c. 60.0%
d. 62.5%
4. An after-school program offers tutoring for different subjects. During the
last month, a teacher recorded the number of students who participated
in tutoring in each subject, as shown in the table below.
Explain how the teacher could use these data to predict about how
many of the next 100 students will participate in math tutoring.
Work:
Name: _____________________________
Date: April 25, 2017
Homeroom:
7th Grade Math:
Unit: Year
Review
Packet 123: Year
Review 4
1. A contractor is building the base of a circular fountain. On the blueprint, the
base of the fountain has a diameter of 18 centimeters. The blueprint has a
scale of three centimeters to four feet. What will be the actual area of the
base of the fountain, in square feet, after it is built? Round your answer to the
nearest tenth of a square foot.
2. Explain the steps needed to determine the value of the expression shown
below. Be sure to provide the correct value of the expression in your
explanation.
3. The lines graphed below show the amounts of water in two tanks as they
were being filled over time.
For each tank, explain whether or not there is a proportional relationship
between the amount of water, in gallons, and the time, in minutes. If there is
a proportional relationship, identify the unit rate. Use specific features of the
graph to support your answer.
Directions: Define the following terms. Use your notes to help!
1. Acute Angle: __________________________________________________________
2. Obtuse Angle: _________________________________________________________
3. Straight Angle: _________________________________________________________
4. Right Angle: ___________________________________________________________
Directions: Measure the following angles. Classify the angles on the line.
5. ______________________________
6. ________________________________
Name: ______________________________
Date: April 27, 2017
Homeroom:
Mrs. Huber: (614) 859-0019
7th Grade Math:
Unit: Geometry
Packet 124:
Measuring
Angles
Redo:
Score: ________/5 _________% DNG A B C D F
7. ______________________________
8. ________________________________
9. ______________________________
10. ________________________________
Directions: Use the following diagram to answer the following questions.
1. Name 3 acute angles in the diagram.
____________________ ____________________ ____________________
2. Name 2 obtuse angles in the diagram.
______________________________ ______________________________
3. Name 1 straight angle in the diagram.
______________________________
Name: ______________________________
Date: May 1, 2017
Homeroom:
Ms. Huber: (614) 859-0019
7th Grade Math:
Unit: Geometry
Packet 125:
Drawing Angles
Redo:
Score: ________/5 _________% DNG A B C D F
4. 𝑚∠𝐿𝐴𝑋 = 27˚
5. 𝑚∠𝑆𝐹𝑂 = 150˚
6. 𝑚∠𝑆𝐴𝐶 = 40˚ 7. 𝑚∠𝑆𝐴𝑁 = 85˚
Directions: Answer the following questions. Show all of your work.
1. Draw segment AB that is 5 cm in length, perpendicular to segment CD, 2
cm in length.
2. Draw supplementary angle so that one angle is 26˚. Label each angle
with its measurement.
Name: ______________________________
Date: May 2, 2017
Homeroom:
Ms. Huber 614-949-7963
7th Grade Math:
Unit: Geometry
Packet 126:
Drawing
Geometric
Shapes 1
Redo:
Score: ________/5 _________% DNG A B C D F
Review!
1. Find the measure of angle m in the figure below.
A. 180˚
B. 63˚
C. 28˚
D. 243˚
2. Caleb drew two congruent triangles as shown.
Jan asked Caleb to prove that the triangles are congruent.
Explain how Caleb can prove to Jan that triangle ABC is congruent to triangle XYZ.
Answer in complete sentences.
Directions: Answer the following questions. Show all of your work and circle your
final answer.
1. Is it possible to construct a triangle with angle measurements of 20˚, 55˚
and 105˚? Explain why or why not in a complete sentence.
2. The Ohio state flag contains an isosceles triangle. What is the measure of
x? Show all of your work.
Name: ______________________________
Date: May 3, 2017
Homeroom:
Ms. Huber (614) 859-0019
7th Grade Math:
Unit: Geometry
Packet 127:
Drawing
Geometric
Shapes 2
Redo:
Score: ________/5 _________% DNG A B C D F
3. Jennifer has 78 feet of fencing to make a rectangular vegetable garden.
Which dimensions will give Jennifer the garden with the greatest area?
The diagrams are not made to scale. Prove your answer is correct by
calculating the area for each of the rectangles.
A.
B.
C.
D.
Directions: Answer the following questions. Show all of your work and circle your
final answer.
1. Find the measure of angle m in the figure below.
A. 180˚
B. 63˚
C. 28˚
D. 243˚
Name: ______________________________
Date: May 4, 2017
Homeroom:
Ms. Huber (614) 859-0019
7th Grade Math:
Unit: Geometry
Packet 128:
Drawing
Geometric
Shapes 3
Redo:
Score: ________/5 _________% DNG A B C D F
Work:
2. Gary is learning about mosaics in Art class. His teacher passes out small square
tiles and encourages the students to cut up the tiles in various angles. Gary’s first
cut tile looks like this:
Solve for m.
A. 50˚
B. 75˚
C. 25˚
D. 15˚
3. During her summer vacation, Rachel mows lawns. Rachel is mowing a
rectangular section of lawn that measures 120 feet long and 80 feet wide. What
is the area of the lawn?
A. 200 square feet
B. 40 square feet
C. 960 square feet
D. 9,600 square feet
(𝑚 − 10)°
3𝑚°
Work:
Directions: Answer the following questions. Show all of your work and circle your
final answer.
1. Which of the following cannot be used to prove that two triangles are
congruent?
A. Angle, Angle, Side (AAS)
B. Side, Angle, Side (SAS)
C. Side, Side, Side (SSS)
D. Angle, Angle, Angle (AAA)
2. Which pair of triangles shows congruency by the Side, Angle, Side Condition?
A. Figure A
B. Figure B
C. Figure C
D. Figure D
Name: ______________________________
Date: May 8, 2017
Homeroom:
Mrs. Huber (614) 859-0019
7th Grade Math:
Unit: Geometry
Packet 130:
Checking for
Identical
Triangles
Redo:
Score: ________/5 _________% DNG A B C D F
3. Which of the following conditions can be used to prove that the triangles below
are congruent?
A. Angle, Side, Angle
B. Side, Side, Side
C. Side, Angle, Side
D. Angle, Angle, Side
4. Which of the following conditions can be used to prove ΔPQR ≅ ΔABC?
A. Side, Side, Side
B. Angle, Side, Angle
C. Side, Angle, Side
D. Angle, Angle, Side
5. Are the following triangles identical? How do you know? Answer in complete
sentences.
Directions: Answer the following questions. Show all of your work and circle your
final answer. Make sure you include units!
1. Find the area of the figure shown.
2. A trapezoid has an area of 36 mm2, and it’s two bases are 10 mm and 2
mm. What is the height of the trapezoid? Show all work and circle your
answer.
Name: ______________________________
Date: May 9, 2017
Homeroom:
Ms. Huber (614) 859-0019
7th Grade Math:
Unit: Geometry
Packet 132:
Area of
Trapezoids and
SA
Redo:
Score: ________/5 _________% DNG A B C D F
14 ft
5 ft
6 ft
?
3. The state of Vermont is shaped like a trapezoid. What is the approximate
area of Vermont?
Vermont is approximately ________________________ square miles.
4. Calculate the surface area of the below prism.
5. Calculate the surface area of the below prism.