Assessment
Big Idea 2: MA.8.G.2.1: First Assessment
Title:
1) Terence wants to estimate the height of a tree. He places a mirror on level ground, as
shown in the picture below, and stands so that he can see the top of the tree in the
mirror. Since light bounces off the mirror at the same angle at which it strikes the
mirror, angle 1 equals angle 2, and ΔABC is similar to ΔCDE.
If Terrence's eyes are exactly 6 feet from the ground and the mirror is 20 feet from the
tree and 1 foot from Terence, how tall is the tree?
A.
15 feet
B.
25 feet
C. 120 feet
D. 126 feet
Assessment Title: Big Idea 2: MA.8.G.2.1: First Assessment
2) In the figure below ΔABC and ΔDBE are similar.
What is the length of
, in centimeters?
A.
7 cm
B. 10 cm
C. 12 cm
D. 15 cm
Assessment Title: Big Idea 2: MA.8.G.2.1: First Assessment
3) Tasha saw a gorgeous sailboat while walking along the pier. She thinks it is the tallest
sailboat she has ever seen. The shadow cast by the boat was 14 ft long, while
Tasha's shadow was only 2 ft long.
If Tasha is 5.5 ft tall, how tall was the sailboat, in feet?
A. 17 . 5 ft
B. 25
ft
C. 28
ft
D. 38 . 5 ft
Assessment Title: Big Idea 2: MA.8.G.2.1: First Assessment
4) Carlos and his family went to the Great Lake National Park for a weekend camping
trip. There is a mile-long straight path from the Welcome Pavilion to the canoe rental
station on the edge of the lake. Along this path there is a sign that says "Head north 2
miles for the Camp Site...continue ahead mile for canoe rentals." The diagram below
shows an overview of the National Park.
In this diagram, ΔWCS and ΔWED are similar triangles. What is the length of the lake,
in miles?
Gridded Response
Assessment Title: Big Idea 2: MA.8.G.2.1: First Assessment
5) In the figure below, ΔBAD is similar to ΔCAT.
What is the length of
, in millimeters (mm)?
Gridded Response
Assessment Title: Big Idea 2: MA.8.G.2.1: Second Assessment
1) In the figures below, ΔABC and ΔDEF are similar triangles.
What is the length of
, in centimeters?
A. 36 cm
B. 39 cm
C. 57 cm
D. 64 cm
Assessment Title: Big Idea 2: MA.8.G.2.1: Second Assessment
2) In the figure below, ΔDEG andΔHFG are similar triangles.
What is the length of
A. 36 yards
B. 39 yards
C. 48 yards
D. 52 yards
, in yards?
Assessment Title: Big Idea 2: MA.8.G.2.1: Second Assessment
3) Jerome is fascinated with the radio tower across the street from his school and wants
to know its height. Jerome determines that the radio tower casts a shadow of 30 feet,
while he casts a shadow of only 5 feet.
If Jerome is 6 feet tall, what is the height of the radio tower, in feet?
A. 20 ft
B. 25 ft
C. 31 ft
D. 36 ft
Assessment Title: Big Idea 2: MA.8.G.2.1: Second Assessment
4) Danny and his father are both flying kites on opposite sides of a tree. The tree is
located at point S, as shown in the diagram below. Danny is standing at point K, and
his kite string, represented by
and his kite string, represented by
, is 50 feet long. His father is standing at point E,
, is 75 feet long.
If ΔKIS is similar to ΔETS, how many feet apart are Danny and his father?
Gridded Response
Assessment Title: Big Idea 2: MA.8.G.2.1: Second Assessment
5) In the figure below, ΔCAB and ΔGEB are similar triangles.
What is the length of
, in inches?
Gridded Response
Assessment Title: Big Idea 2: MA.8.G.2.2: First Assessment
1) The optical illusion below shows a rectangle in front of a straight line. (The line may
not look straight, but it is − you can put a ruler or the edge of a piece of paper next to
it to see this picture more clearly.) What is the measure of ∠a?
A.
40 degrees
B.
50 degrees
C. 140 degrees
D. 180 degrees
Assessment Title: Big Idea 2: MA.8.G.2.2: First Assessment
2) The map below shows a section of Orlando, Florida. W Church St, W Jackson St, and
South St are all parallel to each other. What is the measure of ∠a?
A.
35 degrees
B.
55 degrees
C. 125 degrees
D. 145 degrees
Assessment Title: Big Idea 2: MA.8.G.2.2: First Assessment
3) In the diagram below, lines l and m are parallel. Two transversals intersect on m,
resulting in the formation of different angles, as shown below. What is the measure of
∠x?
A.
8°
B. 16°
C. 53°
D. 74°
Assessment Title: Big Idea 2: MA.8.G.2.2: First Assessment
4) In the diagram below, lines l and m are parallel. Two transversals intersect on m,
resulting in the formation of different angles, as shown below. What is the measure, in
degrees, of angle x?
Gridded Response
Assessment Title: Big Idea 2: MA.8.G.2.2: First Assessment
5) Teresa is putting together a computer desk. The side view is shown below.
The instructions say the legs of the table should make a 130° angle with the floor, as
shown in the diagram. Knowing that the desk top is parallel to the floor, what is the
measure, in degrees, of angle x, which is formed when the two legs meet at the desk
top?
Gridded Response
Assessment Title: Big Idea 2: MA.8.G.2.2: Second Assessment
1) The map below shows a portion of Washington, DC, where Maryland Avenue and I
Street form opposite sides of a parallelogram. The obtuse angle between 19th Street
and Maryland Avenue measures 122 degrees. What is the measure of the acute
angle between 21st Street and Maryland Avenue?
A.
32 degrees
B.
58 degrees
C. 122 degrees
D. 302 degrees
Assessment Title: Big Idea 2: MA.8.G.2.2: Second Assessment
2) In the figure below, lines l and m are parallel. What is the measure of angle x?
A.
30°
B.
60°
C.
90°
D. 120°
Assessment Title: Big Idea 2: MA.8.G.2.2: Second Assessment
3) In the diagram below, lines l and m are parallel. Two transversals intersect on l,
resulting in the formation of different angles, as shown below. What is the measure of
angle x?
A. 40°
B. 52°
C. 88°
D. 92°
Assessment Title: Big Idea 2: MA.8.G.2.2: Second Assessment
4) In the figure below, lines m and n are parallel. What is the measure, in degrees, of
angle x?
Gridded Response
Assessment Title: Big Idea 2: MA.8.G.2.2: Second Assessment
5) Sean is building a storage unit for his surfboards similar to the one in the diagram
below.
The top and bottom boards are both horizontal, and are therefore parallel. Sean
knows the angle formed by the bottom board and one of the planks is 58°, as shown
in the diagram. What is the measure, in degrees, of angle x?
Gridded Response
Assessment Title: Big Idea 2: MA.8.G.2.3: First Assessment
1) The base of a gazebo in the city park is in the shape of a regular octagon. What is the
sum of the interior angles of the gazebo, shown in the diagram below?
A.
135
B.
360
C. 1080
D. 1440
Assessment Title: Big Idea 2: MA.8.G.2.3: First Assessment
2) Barbara is making a decorative triangular garden in her yard, as shown in the figure
below. The measures of two of the angles are shown. What is the measure of ∠C?
A.
70
B.
72
C. 180
D. 252
Assessment Title: Big Idea 2: MA.8.G.2.3: First Assessment
3) Antonio is building a patio by laying quadrilateral tiles. The measures of three of the
interior angles of a tile are shown below. What is the measure of ∠C?
A.
81
B.
86
C.
95
D. 360
Assessment Title: Big Idea 2: MA.8.G.2.3: First Assessment
4) The benzene ring shown below consists of six carbon atoms arranged in a regular
hexagon pattern. What is the number of degrees of ∠a?
Gridded Response
Assessment Title: Big Idea 2: MA.8.G.2.3: First Assessment
5) The figure shown below is a regular octagon. The measure of ∠HAB is 135 degrees.
What is the measure of ∠HBG, in degrees?
Gridded Response
Assessment Title: Big Idea 2: MA.8.G.2.3: Second Assessment
1) The base of a gazebo in Mia's yard is in the shape of a regular hexagon. What is the
sum of the interior angles of the gazebo, shown in the diagram below?
A.
120
B.
360
C.
720
D. 1080
Assessment Title: Big Idea 2: MA.8.G.2.3: Second Assessment
2) Juanita is making triangular pennants, as shown in the figure below. The measures of
two of the angles are shown. What is the measure of ∠B?
A.
71
B.
73
C. 107
D. 180
Assessment Title: Big Idea 2: MA.8.G.2.3: Second Assessment
3) Salena is building a patio by laying quadrilateral tiles. The measures of three of the
interior angles of a tile are shown below. What is the measure of ∠B?
A. 79
B. 85
C. 88
D. 94
Assessment Title: Big Idea 2: MA.8.G.2.3: Second Assessment
4) A truncated icosahedron, more commonly known as a Buckyball, is the threedimensional arrangement of a molecule made of up 60 carbon atoms. It consists of 20
regular hexagons and 12 regular pentagons. In degrees, what is the measure of ∠a?
Gridded Response
Assessment Title: Big Idea 2: MA.8.G.2.3: Second Assessment
5) The figure shown below is a regular hexagon. The measure of ∠FAB is 120 degrees.
What is the measure of ∠FBE, in degrees?
Gridded Response
Assessment Title: Big Idea 2: MA.8.G.2.4: First Assessment
1) On a baseball field, the distance from one base to the next is 60 feet, as shown in the
diagram below. Which of the following is closest to the distance between home plate
and second base?
A.
60 feet
B.
85 feet
C.
90 feet
D. 120 feet
Assessment Title: Big Idea 2: MA.8.G.2.4: First Assessment
2) On the coordinate plane below, Stewart mapped out an area to be used for
pastureland, represented by ΔUVW. He needs to build a fence to contain animals
within the pastureland.
How many miles of fencing will Stewart need in order to build a fence from point U to
point V, point V to point W, and then back to point U?
A. 19
B. 25
C. 56
D. 62
Assessment Title: Big Idea 2: MA.8.G.2.4: First Assessment
3) On the coordinate plane below, the location of Diana's home, her school, and the
local mall are shown.
How much greater is the distance between Diana's home and the mall than the
distance between the school and the mall?
A.
3 miles
B. 10 miles
C. 13 miles
D. 23 miles
Assessment Title: Big Idea 2: MA.8.G.2.4: First Assessment
4) The map below shows an area along the north rim of the Grand Canyon. To find the
distance across the canyon from the Lodge to the start of the Uncle Jim Trail, an
engineer measured the distance from these locations to point Q, shown below. The
distance from the Lodge to point Q is 1.7 miles. The distance from point Q to the start
of the Uncle Jim Trail is 0.9 miles. To the nearest tenth of a mile, what is the distance
from the Lodge to the start of the Uncle Jim Trail?
Gridded Response
Assessment Title: Big Idea 2: MA.8.G.2.4: First Assessment
5) Marvin has a 27-foot ladder. Safety standards dictate that the base of a 27-foot ladder
should be placed 7 feet from a vertical wall.
How far above the ground will the top of the ladder be on the wall, in feet? Round your
answer to the nearest hundredth.
Gridded Response
Assessment Title: Big Idea 2: MA.8.G.2.4: Second Assessment
1) The in-bounds region of a high school football field is a rectangle that measures 160
feet by 300 feet, as shown in the diagram below. Which of the following is closest to
the diagonal distance of the field?
A. 170 feet
B. 230 feet
C. 340 feet
D. 460 feet
Assessment Title: Big Idea 2: MA.8.G.2.4: Second Assessment
2) On the coordinate plane below, Angie mapped out an area that she plans to use for
building a garden, represented by ΔPQR. She plans to build a fence around the area
in order to keep animals out of the garden.
How many feet of fencing does Angie need in order to build a fence from point P to
point Q, point Q to point R, and then back to point P?
A. 26
B. 30
C. 58
D. 60
Assessment Title: Big Idea 2: MA.8.G.2.4: Second Assessment
3) On the coordinate plane below, the location of the airport, Jason's home, and the mall
are shown.
How much greater is the distance between the mall and the airport than the distance
between Jason's home and the airport?
A.
8 miles
B. 12 miles
C. 20 miles
D. 32 miles
Assessment Title: Big Idea 2: MA.8.G.2.4: Second Assessment
4) A multi-sport athlete was training on Honeymoon Island. He ran from point A to point
C, a distance of 800 meters. He then biked from point C to point B, a distance of 600
meters. In meters, how far will he have to kayak from point A to point B ?
Gridded Response
Assessment Title: Big Idea 2: MA.8.G.2.4: Second Assessment
5) The Meridian Fire Department has a 40-foot extension ladder. Safety standards
dictate that the base of a 40-foot ladder should be placed 11 feet from a vertical wall.
How far above the ground will the top of the ladder be on the wall, in feet? Round your
answer to the nearest hundredth.
Gridded Response
Assessment Title: Big Idea 3: MA.8.S.3.1: First Assessment
1) The table below shows the number of Home Runs (HR) Carl Crawford hit with the
Tampa Bay Rays for the 2002 through 2009 baseball seasons.
Which of the following box-and-whisker plots best represents the Home Run data in
the table?
A.
B.
C.
D.
Assessment Title: Big Idea 3: MA.8.S.3.1: First Assessment
2) The box-and-whisker plots below compare a class of students' scores on a spelling
pre-test, which they took on Monday, and their scores for the actual spelling test,
given to them on Friday. The same students took both tests.
Which of the following is true, based on this data?
A. The lowest score on Friday's test was higher than the median score on
Monday's test.
B. At least half of the students scored less than 50 on Monday's test.
C. At least one student had a score of 100 on Friday's test.
D. Every student scored better on Friday's test than on Monday's test.
Assessment Title: Big Idea 3: MA.8.S.3.1: First Assessment
3) The students at Wilson Middle School took a survey that asked what they considered
the most important factor to be when choosing a fast food restaurant to eat at. The
results of the survey are shown in the circle graph below.
How does food quality compare to fast service as a reason for choosing a fast food
restaurant?
A. About one-third as many students thought food quality was more
important than fast service.
B. About half as many students thought food quality was more important
than fast service.
C. About 15 more students thought food quality was more important than fast
service.
D. About twice as many students thought food quality was more important
than fast service.
Assessment Title: Big Idea 3: MA.8.S.3.1: First Assessment
4) The number of students attending Marlin Middle school from 2005 through 2010 is
shown in the graph below.
If this trend continues, which of the following is the best estimate for the number of
students in 2011?
A. 280
B. 300
C. 345
D. 400
Assessment Title: Big Idea 3: MA.8.S.3.1: First Assessment
5) The line graph below shows the average monthly temperature for three U.S. cities.
How much colder, in degrees Fahrenheit, would you expect it to be in New York City
than in Miami in December?
A. 10 degrees
Fahrenheit
B. 20 degrees
Fahrenheit
C. 35 degrees
Fahrenheit
D. 50 degrees
Fahrenheit
Assessment Title: Big Idea 3: MA.8.S.3.1: Second Assessment
1) The table below shows the number of Home Runs (HR) Mickey Mantle hit with the
New York Yankees for the 1961 through 1968 baseball seasons.
Which of the following box-and-whisker plots best represents the Home Run data in
the table?
A.
B.
C.
D.
Assessment Title: Big Idea 3: MA.8.S.3.1: Second Assessment
2) The box-and-whisker plots below compare a class of students' scores on a math pretest, which they took on Monday, and their scores for the actual math test, given to
them on Friday. The same students took both tests.
Which of the following is true, based on this data?
A. The lowest score on Friday's test was higher than the median score on
Monday's test.
B. The range of scores on Friday's test was greater than the range of scores
on Monday's test.
C. Half of the scores on Friday's test were greater than all of the scores on
Monday's test.
D. Every student scored better on Friday's test than on Monday's test.
Assessment Title: Big Idea 3: MA.8.S.3.1: Second Assessment
3) The students at Washington Middle School took a survey that asked what they
considered the most important factor to be when choosing a fast food restaurant to
eat at. The results of the survey are shown in the circle graph below.
How does food quality compare to fast service as a reason for choosing a fast food
restaurant?
A. About one-third as many students thought food quality was more
important that fast service.
B. About 22 more students thought food quality was more important than fast
service.
C. About twice as many students thought food quality was more important
than fast service.
D. About three times as many students thought food quality was more
important than fast service.
Assessment Title: Big Idea 3: MA.8.S.3.1: Second Assessment
4) The number of students attending Buccaneer Middle school from 2005 through 2010
is shown in the graph below.
If this trend continues, which of the following is the best estimate for the number of
students in 2011?
A.
75
B. 190
C. 225
D. 250
Assessment Title: Big Idea 3: MA.8.S.3.1: Second Assessment
5) The line graph below shows the average monthly temperature for three U.S. cities.
How much warmer, in degrees Fahrenheit, would you expect it to be in Miami than
in Portland in March?
A. 15 degrees
Fahrenheit
B. 25 degrees
Fahrenheit
C. 55 degrees
Fahrenheit
D. 80 degrees
Fahrenheit
Assessment Title: Big Idea 3: MA.8.S.3.2: First Assessment
1) Tyrece's quarter grade in Science is calculated by finding his mean test score for that
quarter. So far this quarter, Tyrece has taken three tests and scored 68, 83, and 74.
He wants to earn an 80 for the quarter and has his last test on Friday.
What grade does Tyrece need to earn on his last test so that he will have an 80 for
the quarter?
A.
25
B.
80
C.
95
D. 100
Assessment Title: Big Idea 3: MA.8.S.3.2: First Assessment
2) Hannah is trying to spend less time watching TV after school. For the past two school
weeks she has recorded the number of minutes she spent watching TV. Her data is in
the stem-and-leaf plot below.
Over the next two school weeks, Hannah watches the same amount of TV, with the
exception of one day: instead of watching 90 minutes of TV, she watches 45 minutes.
What is the median amount of time she spent watching TV over the second two
weeks?
A. 57
B. 69 . 6
C. 76 . 5
D. 79
Assessment Title: Big Idea 3: MA.8.S.3.2: First Assessment
3) The following box-and-whisker plot represents the amount of times Alana bought a
cup of coffee each month over the past year.
The mean amount of times Alana bought coffee in a month was 5.75, the median was
5, and the mode was 6. Alana thought buying coffee 19 times in one month was too
many times. After double checking her data, she realized she actually bought 9 cups
of coffee in that month, not 19. Which of the following values will the correction to the
data definitely change?
A. minimum
B. mean
C. median
D. mode
Assessment Title: Big Idea 3: MA.8.S.3.2: First Assessment
4) Mr. Garcia teaches French class. He has 14 students in his class, and the mean
grade on his midterm was 72. After the midterm, one of his students, who had scored
a 37 on the midterm, dropped out of the class. Mr. Garcia's recalculates the mean
midterm grade, excluding the score from the student who dropped out.
What is the recalculated mean midterm grade? Round your answer to the nearest
tenth.
Gridded Response
Assessment Title: Big Idea 3: MA.8.S.3.2: First Assessment
5) Ana has been recording the amount of times she baby-sat the Chandra children over
the past six months. For the first two months, she baby sat for the same amount of
time each month. The last two months, she baby-sat 7 times each month. The most
she baby-sat them in one month was 10 times and the least amount of times was 2.
If the median amount for the six months was 6.5 times, what was the mean number of
times Ana baby-sat the Chandra children? Round your answer to the nearest tenth.
Gridded Response
Assessment Title: Big Idea 3: MA.8.S.3.2: Second Assessment
1) Mallory runs 5 days a week to train for an upcoming cross country meet. Her goal is to
run a mean of 5 miles per day for the week. This week she ran 4.2 miles on Monday,
5.5 miles on Wednesday, 6 miles on Thursday, and 4.8 miles on Friday.
How many miles does she need to run on Saturday to have a mean running distance
of 5 miles per day for this week?
A. 0 . 9 miles
B. 4 . 1 miles
C. 4 . 5 miles
D. 6 . 2 miles
Assessment Title: Big Idea 3: MA.8.S.3.2: Second Assessment
2) Javier is an avid bird watcher. For the past week and a half, he has been recording
the number of times he hears a mockingbird sing each day. His data is recorded in
the stem-and-leaf plot below.
Over the next 10 days, Javier records that he heard a mockingbird sing the same
number of times each day, with the exception of one day: instead of hearing a
mockingbird sing eight times, he only heard singing 6 times.
What is the median number of times Javier heard a mockingbird sing each day over
the second set of 10 days?
A.
7. 2
B.
8
C.
9
D. 20
Assessment Title: Big Idea 3: MA.8.S.3.2: Second Assessment
3) The following box-and-whisker plot summarizes weekly attendance at the Book Club
meetings for two months.
The mean attendance was 13.5 students, and the median and mode were both 15
students. The club president thought there was an error, because she did not
remember a meeting in which no one attended. After double-checking the data, the
club president realized the minimum attendance was 10, not 0.
Which of the following values will this correction to the data definitely change?
A. mean
B. median
C. mode
D. maximum
Assessment Title: Big Idea 3: MA.8.S.3.2: Second Assessment
4) Sasha has been preparing for a triathlon. Last month, she did the course 8 times and
had a mean completion time of 10.3 hours. However, on one of the days, her foot was
hurting, and it took her 13.6 hours to complete the course, which was much longer
than usual. Sasha recalculates her mean completion time, excluding the time from the
day her foot hurt.
What is the recalculated mean completion time, in hours? Round your answer to the
nearest tenth.
Gridded Response
Assessment Title: Big Idea 3: MA.8.S.3.2: Second Assessment
5) On Sunday, Lee's mom said he spends too much time playing video games. Lee
decided to record the number of full hours he played video games daily for the next 6
days. On Monday and Tuesday, he played the same amount of time each day. On
Friday and Saturday, he played 2 hours each day. The most he played in one day
was 6 hours, and the least he played in one day was 1 hour.
If the median time played for those 6 days was 3 hours, what was the mean amount
of time Lee played video games for the week? Round your answer to the nearest
tenth.
Gridded Response