Assessment Title: Geometry and Measurement: MA.6.G.4.1: First

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Assessme
Geometry and Measurement: MA.6.G.4.1: First Assessment
nt Title:
1) The Lopez family wants to put in some decorative tile around the circular hot tub on their
back deck. Mr. Lopez wants to find the circumference of the hot tub to help him determine
how much tile he will need to buy.
Which of the following is the best estimate of the circumference of the Lopez family's hot
tub?
A.
12 . 6 feet
B.
25 . 1 feet
C.
50 . 2 feet
D. 100 . 5 feet
Assessme
Geometry and Measurement: MA.6.G.4.1: First Assessment
nt Title:
2) Sebastian's science class learned that one way to compare the age of two trees is to count
the number of rings each tree has. The teacher showed them a cross-section of a tree and
marked the center. The students counted the number of rings the tree had, and took several
other measurements as well.
Which of the following is closest to the circumference of the tree's cross-section?
A.
21 . 98 inches
B.
43 . 96 inches
C.
87 . 92 inches
D. 307 . 72 inches
Assessme
Geometry and Measurement: MA.6.G.4.1: First Assessment
nt Title:
3) The archery team at Trisha's school practices two days a week, using regulation targets. A
regulation target has 10 concentric circles, and has a radius of 24 inches.
Which of the following is the best estimate for the area of a regulation archery target?
A. 1809 square
inches
B.
904 square
inches
C.
237 square
inches
D.
151 square
inches
Assessme
Geometry and Measurement: MA.6.G.4.1: First Assessment
nt Title:
4) Anna works at a pizza restaurant on Friday and Saturday nights. The restaurant offers small,
medium, and large pizzas. The medium pizza is 10 inches in diameter.
Which of the following is closest to the area of a medium pizza at Anna's restaurant?
A. 15 . 7 square
inches
B. 31 . 4 square
inches
C. 49 . 3 square
inches
D. 78 . 5 square
inches
Assessme
Geometry and Measurement: MA.6.G.4.1: First Assessment
nt Title:
5) John and his sister are helping their parents put new upholstery on a set of bar stools they
have. Their mother cuts out the fabric needed to cover one stool and lays it flat. She wants
to measure the fabric required for one stool and determine its area in order to make sure she
has enough to cover all 4 barstools.
Which of the following is the best estimate of the total area of the fabric needed to cover all
four barstools?
A. 11 . 34 square
feet
B. 45 . 34 square
feet
C. 74 . 93 square
feet
D. 95 . 46 square
feet
Assessme
Geometry and Measurement: MA.6.G.4.1: Second Assessment
nt Title:
1) Gina is helping her grandmother build a small fence to put around the roses in her backyard.
The rose garden is circular in shape and is currently marked off with stones. They want to
know the circumference of the rose garden so that they can buy enough materials to build
the fence.
Which of the following is the best estimate of the circumference of the rose garden?
A.
9 . 81 feet
B. 19 . 63 feet
C. 39 . 25 feet
D. 61 . 33 feet
Assessme
Geometry and Measurement: MA.6.G.4.1: Second Assessment
nt Title:
2) Suzanna is looking at red blood cells under a microscope. She writes the different
characteristics of the blood cells down in her lab notebook. She takes several measurements
of the blood cells in her sample.
Which of the following is closest to the circumference of the red blood cell pictured below?
A. 11 . 0 micrometers
B. 22 . 0 micrometers
C. 38 . 5 micrometers
D. 76 . 9 micrometers
Assessme
Geometry and Measurement: MA.6.G.4.1: Second Assessment
nt Title:
3) Toby's mother bought a new table for their kitchen. She wants to buy a tablecloth that
matches the kitchen, so Toby helps her measure the round table so that they can figure out
which size tablecloth to buy. Toby also tries to guess what the area of the table is.
Which of the following is the best estimate of the table's area?
A.
66 square
inches
B.
132 square
inches
C.
693 square
inches
D. 1385 square
inches
Assessme
Geometry and Measurement: MA.6.G.4.1: Second Assessment
nt Title:
4) Adam told his parents that for his birthday, instead of having a birthday cake, he'd rather
have an enormous chocolate chip cookie cake. His father had one made for Adam at a shop
in the mall.
Which of the following is closest to the area of Adam's birthday cookie?
A. 1 . 77 square
feet
B. 2 . 36 square
feet
C. 3 . 53 square
feet
D. 4 . 71 square
feet
Assessme
Geometry and Measurement: MA.6.G.4.1: Second Assessment
nt Title:
5) Lucy is making homemade holiday decorations. She cuts a large piece of green felt in the
shape of a tree to put on her front door. She then wants to cut pieces of red, gold, and blue
felt into equal-sized circles to use as ornaments on her tree. She plans to make 3 ornaments
of each color.
Which of the following is the best estimate of the total area that the 9 ornaments will cover?
A.
58 . 8 square
centimeters
B. 141 . 3 square
centimeters
C. 176 . 6 square
centimeters
D. 221 . 8 square
centimeters
Assessme
Geometry and Measurement: MA.6.G.4.2: First Assessment
nt Title:
1) Mr. Brown plans on fertilizing his lawn, shown in the diagram below. The lawn wraps around
the side of his house and contains a small pond. He needs to calculate the area of the lawn
so he can purchase the correct amount of fertilizer for the grass.
Which of the following best describes the area of the lawn that needs to be fertilized?
A. 1351 square yards
B. 1436 square yards
C. 1445 square yards
D. 1455 square yards
Assessme
Geometry and Measurement: MA.6.G.4.2: First Assessment
nt Title:
2) Herschel is the groundskeeper at the local park. Every weekday he walks through the park
and picks up litter. The shape and dimensions of the park are shown below. Which of the
following is closest to the area of the park?
A. 4547 square meters
B. 4594 square meters
C. 5207 square meters
D. 7327 square meters
Assessme
Geometry and Measurement: MA.6.G.4.2: First Assessment
nt Title:
3) Mr. Draper wants to install a new barbed wire fence around his farm to keep his livestock
safe. The area to be enclosed is shown in green in the diagram below. Mr. Draper needs to
calculate the perimeter of his farm so he can acquire the right amount of fencing.
What is the perimeter of Mr. Draper's farm?
A. 380 yards
B. 420 yards
C. 440 yards
D. 460 yards
Assessme
Geometry and Measurement: MA.6.G.4.2: First Assessment
nt Title:
4) Julie wants to calculate the area of her room before she has new carpet put in. Her room is
shown in the diagram below. What is the area, in square feet, of Julie's room?
Gridded Response
Assessme
Geometry and Measurement: MA.6.G.4.2: First Assessment
nt Title:
5) A 1 foot by 1 foot square is cut from each corner of the 5 foot by 7 foot rectangle in Figure 1
in order to make Figure 2.
What is the perimeter, in feet, of Figure 2?
Gridded Response
Assessme
Geometry and Measurement: MA.6.G.4.2: Second Assessment
nt Title:
1) Sally and her brother are painting the front of the family garage. The front of the garage,
shown in the diagram below, is rectangular in shape and has 2 rectangular doorways. They
need to calculate the area of the front of the garage so they can purchase the correct
amount of paint.
What is the area, in square feet, of the front of the garage that needs to be painted?
A.
60 square
feet
B. 104 square
feet
C. 160 square
feet
D. 216 square
feet
Assessme
Geometry and Measurement: MA.6.G.4.2: Second Assessment
nt Title:
2) Mr. Phillips works for a construction company that is building a regional airport. Soon, his
crew will be paving the runways. The shape and dimensions of the runways are shown
below. Mr. Phillips needs to know the area of the runways in order to know how much
concrete to purchase.
What is the area, in square meters, of the regional airport's runways?
A. 25,550 square meters
B. 26,600 square meters
C. 49,000 square meters
D. 51,100 square meters
Assessme
Geometry and Measurement: MA.6.G.4.2: Second Assessment
nt Title:
3) The town hall of Lively wants to install a railing around the top floor of the old clock tower for
the safety of visitors. The shape and dimensions of the top floor are shown below. The Lively
city council needs to know the perimeter of the top floor in order to know how much railing to
purchase.
Which of the following is closest to the perimeter, in feet, of the top floor of the Lively old
clock tower?
A.
95 feet
B. 107 feet
C. 114 feet
D. 126 feet
Assessme
Geometry and Measurement: MA.6.G.4.2: Second Assessment
nt Title:
4) Seymour is trying to calculate the area of his classroom. He creates the following diagram of
the room's shape and dimensions. Using the diagram, what is the area,
in square feet, of Seymour's classroom?
Gridded Response
Assessme
Geometry and Measurement: MA.6.G.4.2: Second Assessment
nt Title:
5) A 2 inch by 2 inch square is cut from each corner of the 8 inch by 13 inch rectangle in Figure
1 to make Figure 2.
In inches, how much greater is the perimeter of Figure 2 than the perimeter of Figure 1?
Gridded Response
Assessme
Geometry and Measurement: MA.6.G.4.3: First Assessment
nt Title:
1) Helena has a rectangular fish tank that is 20 inches long, 10 inches wide and is filled with
water to a height of 12 inches.
If Helena pours all the water into a second rectangular tank that is 30 inches long and 8
inches wide, how many inches high will the water level be in the second tank?
A.
6 inches
B.
8 inches
C. 10 inches
D. 12 inches
Assessme
Geometry and Measurement: MA.6.G.4.3: First Assessment
nt Title:
2) A rectangular box is 8 inches long, 4 inches wide, and 10 inches high. A second rectangular
box is 8 inches long, 4 inches wide, and 20 inches high. Which statement correctly describes
the relationship between the two boxes?
A. The volume of the second box is of the volume of the first box.
B.
The volume of the second box is
of the volume of the first box.
C. The volume of the second box is 4 times the volume of the first box.
D. The volume of the second box is 2 times the volume of the first box.
Assessme
Geometry and Measurement: MA.6.G.4.3: First Assessment
nt Title:
3) The triangle shown below has an area of 24 square feet, and the base is 8 feet. What is the
height of this triangle?
A. 3 feet
B. 6 feet
C. 16 feet
D. 32 feet
Assessme
Geometry and Measurement: MA.6.G.4.3: First Assessment
nt Title:
4) Keenan is building a toy sail boat for a scouting project. To make the two sails, he cuts out a
rectangular piece of fabric. If each sail has a height of 16 inches and each sail has an area
of 96 square inches, what is the width, in inches, of each sail?
A. 3 inches
B. 6 inches
C. 10 inches
D. 12 inches
Assessme
Geometry and Measurement: MA.6.G.4.3: First Assessment
nt Title:
5) Heather is training for a swim meet. The pool she swims in has a volume of 600 cubic feet,
and measures 4 feet deep and 3.75 feet wide. What is the length, in feet, that Heather
swims from one end of the pool to the other?
A. 20 feet
B. 38 feet
C. 40 feet
D. 76 feet
Assessme
Geometry and Measurement: MA.6.G.4.3: Second Assessment
nt Title:
1) Derrick has a rectangular fish tank that is 20 inches long, 15 inches wide, and is filled with
water to a height of 5 inches.
If Derrick pours all the water into a second rectangular tank that is 15 inches long and 10
inches wide, how many inches high will the water level be in the second tank?
A. 10 inches
B. 12 inches
C. 15 inches
D.
7 inches
Assessme
Geometry and Measurement: MA.6.G.4.3: Second Assessment
nt Title:
2) A rectangular box is 10 inches long, 5 inches wide, and 4 inches high. A second rectangular
box is 10 inches long, 5 inches wide, and 12 inches high. Which statement correctly
describes the relationship between the two boxes?
A. The volume of the second box is 2 times the volume of the first box.
B. The volume of the second box is 3 times the volume of the first box.
C. The volume of the second box is 4 times the volume of the first box.
D. The volume of the second box is 8 times the volume of the first box.
Assessme
Geometry and Measurement: MA.6.G.4.3: Second Assessment
nt Title:
3) The artist Lando wants to carve a sculpture from a cube of Italian marble, shown below. The
volume of the cube is 343 cubic feet. What is the height of the cube?
A.
5 feet
B.
7 feet
C.
9 feet
D. 11 feet
Assessme
Geometry and Measurement: MA.6.G.4.3: Second Assessment
nt Title:
4) Alyssa is studying the Ashanti tribe of Africa in her geography class. The Ashanti tribe uses
items like yams and potatoes to stamp decorative designs onto fabric. Alyssa decides to try
this process and will use an orange to make her stamp.
If the area of the stamping surface of the orange is 78.5 square centimeters, what is the
radius, in centimeters, of Alyssa's orange?
A.
5 centimeters
B.
10 centimeters
C. 12.5 centimeters
D.
25 centimeters
Assessme
Geometry and Measurement: MA.6.G.4.3: Second Assessment
nt Title:
5) Mr. Gilroy owns a t-shirt shop. He uses a heat press to transfer images onto the t-shirts. If
the surface area of the heat plate is 224 square inches and the length of the heat plate is 16
inches, what is the width, in inches, of the heat plate?
A.
7 inches
B. 14 inches
C. 16 inches
D. 20 inches
Assessme
Big Idea 3: MA.6.A.3.2: First Assessment
nt Title:
1) Marcie paid $35 to join a wholesale office supply club and she spends $50 each month for
supplies at the club.
Which expression describes the total cost, C, of her membership and office supplies for m
months?
A. C = 50m − 35
B. C = 50m + 35
C. C = 35m + 50
D. C =
m + 35
Assessme
Big Idea 3: MA.6.A.3.2: First Assessment
nt Title:
2) According to the Guinness Book of World Records, the tallest man in medical history stood
272 centimeters (cm) tall, and the shortest man was only 57 cm.
Let h represent the height, in centimeters, of any other man in history. Which inequality best
describes the possible value of h?
A. 57 > h > 272
B. 57 < h < 272
C. 57 < h > 272
D. 57 > h < 272
Assessme
Big Idea 3: MA.6.A.3.2: First Assessment
nt Title:
3) All the employees at the corner store earn a wage of at least $7 per hour, but no one earns
more than $11 per hour.
Let m represent the hourly wage, in dollars, of any employee at the corner store. Which
number line best represents the possible value of m?
A.
B.
C.
D.
Assessme
Big Idea 3: MA.6.A.3.2: First Assessment
nt Title:
4) The perimeter p of a rectangle can be found using the expression p = 2l + 2w, where l
represents the length and w represents the width of the rectangle.
If a rectangle has a length of 7 feet, and the width is 6 feet, what is the perimeter of the
rectangle, in feet?
Gridded Response
Assessme
Big Idea 3: MA.6.A.3.2: First Assessment
nt Title:
5) Darika is planning to put a fence around her rectangular vegetable garden. The perimeter of
the vegetable garden is 90 feet. If the width of the garden is represented by w, and the
length of the garden is 25 feet, the following expression represents the garden's perimeter,
p.
2w + 50 = p
What is the width, in feet, of Darika's vegetable garden?
Gridded Response
Assessme
Big Idea 3: MA.6.A.3.2: Second Assessment
nt Title:
1) A plumber charges $60 to come to a house and then charges $50 for each hour that he
works to make the repairs.
Which expression describes the total cost, C, for h hours of work done by the plumber?
A. C =
h + 60
B. C = 50h + 60
C. C = 60h +50
D. C = 50h − 60
Assessme
Big Idea 3: MA.6.A.3.2: Second Assessment
nt Title:
2) For a social studies assignment, Michael needed to find out the ages of the youngest and
oldest students in his school. Michael found that the youngest student was 11 years old and
the oldest student was 15.
Let a represent the age, in years, of any student in the school. Which number line best
represents the value of a?
A.
B.
C.
D.
Assessme
Big Idea 3: MA.6.A.3.2: Second Assessment
nt Title:
3) Marla is 14 years old and is the president of her middle school math team. After school she
often helps elementary school students with their math homework. The youngest student
she has helped is 6 years old, and the oldest is 2 years younger than Marla.
Let m represent the age, in years, of any student Marla has helped with their math
homework. Which inequality best represents the value of m?
A. 6 ≤ m ≤ 14
B. 6 ≤ m ≤ 12
C. 6 ≤ m ≥ 12
D. 6 ≥ m ≤ 12
Assessme
Big Idea 3: MA.6.A.3.2: Second Assessment
nt Title:
4) Mrs. Schmidt is organizing a testing center that will allow 4 square yards of space per testing
station, plus an additional 20 square yards for the instructor's desk and equipment. The
room she will use has an area of 180 square yards. The expression below shows how many
students, s, the room will accommodate.
4s + 20 = 180
How many students will the room accommodate?
Gridded Response
Assessme
Big Idea 3: MA.6.A.3.2: Second Assessment
nt Title:
5) Chen would like to put carpeting in his rectangular family room. The area of the room is 30
square yards. If the length of the room is 6 yards and its width is represented by w, the
following expression represents, a, the area of the family room.
6w = a
What is the width, in yards, of the family room?
Gridded Response
Assessme
Big Idea 3: MA.6.A.3.6: First Assessment
nt Title:
1) Scientists at the local university are studying a chemical reaction. The table below shows
that P, the total amount of product of the reaction, depends on m, the number of minutes
after the last chemical was added.
Which equation correctly shows the relationship between P and m?
A. P = 3m + 8
B. P = 5m + 8
C. P = 5m + 23
D. P = 3m + 23
Assessme
Big Idea 3: MA.6.A.3.6: First Assessment
nt Title:
2) The number of new customers at Veggie-Bright Industries has grown by 1000 customers a
quarter for the past 7 quarters since their new ad campaign began. The graph below shows
that G, customer growth, depends on q, the number of quarters since the new ad campaign
began (summer 1997).
Which equation correctly shows the relationship between G and q?
A. G = q + 7000
B. G = q + 1000
C. G = 1000q + 7000
D. G = 1000q + 1000
Assessme
Big Idea 3: MA.6.A.3.6: First Assessment
nt Title:
3) Larry's Scooter Store rents scooters and bikes. There is a flat fee all renters must pay, plus
an additional fee of $12 per hour the scooter or bike is gone. The table below shoes that C,
the total cost of renting, depends on h, the number of hours the scooter or bike is gone.
Which equation correctly shows the relationship between C and h?
A. C = h + 12
B. C = h + 15
C. C = 12h + 12
D. C = 12h + 15
Assessme
Big Idea 3: MA.6.A.3.6: First Assessment
nt Title:
4) David buys tokens at the local arcade to play video games. At the end of the night, the
arcade will allow him to trade back unused tokens in exchange for prize tickets. David gets a
set number of tickets, plus 6 additional tickets per coin traded. The table below shoes that P,
the total number of prize tickets, depends on t, the number of coins David trades.
Which of the following graphs correctly shows the relationship between P and t?
A
.
B
.
C
.
D
.
Assessme
Big Idea 3: MA.6.A.3.6: First Assessment
nt Title:
5) Dr. Fuller is writing a research paper on a new medical treatment. He plans on including the
graph below of patient recovery over the 4 week trial. According to the graph, what is the
rate of change of patient recovery per week?
A. 1 patient per week
B. 2 patients per week
C. 3 patients per week
D. 4 patients per week
Assessme
Big Idea 3: MA.6.A.3.6: Second Assessment
nt Title:
1) The Easy Breezy Bakery has a large bread slicer. It takes the slicer a set time to warm up,
plus 12 seconds for each loaf of bread to be sliced. The table below shows that T, the total
amount of time the slicer operates, depends on L, the number of loaves being sliced.
Which equation correctly shows the relationship between T and L?
A. T = 12L + 10
B. T = 12L + 22
C. T = 3L + 10
D. T = 3L + 22
Assessme
Big Idea 3: MA.6.A.3.6: Second Assessment
nt Title:
2) Dale is the chairman of a farmer's cooperative and wants to show his members their impact
on the market. The price of their produce has grown by 30 cents a bushel for the past 5
years since the cooperative was formed. The graph below shows that P, produce price,
depends on y, the number of years since the cooperative was formed (1989).
Which equation correctly shows the relationship between P and y?
A. P = 20y + 190
B. P = y + 190
C. P = 45y + 190
D. P = 30y + 190
Assessme
Big Idea 3: MA.6.A.3.6: Second Assessment
nt Title:
3) Shady Oaks Country Club charges players a fee to play at their golf course. There is a flat
fee each golfer must pay as their annual membership dues, plus an additional fee of $50 per
round of golf. The table below shoes that C, the total cost of playing golf at Shady Oaks,
depends on r, the number of rounds the golfer wishes to play.
Which equation correctly shows the relationship between C and r?
A. C = 50r + 500
B. C = 3r + 500
C. C = 10r + 50
D. C = 3r + 50
Assessme
Big Idea 3: MA.6.A.3.6: Second Assessment
nt Title:
4) Kylie works weekends as a delivery girl for a local restaurant. She gets paid a fixed wage
each day she works, plus an additional $3 per delivery. The table below shoes that P, Kylie's
total pay, depends on d, the number of deliveries she makes.
Which of the following graphs correctly shows the relationship between P and d?
A
.
B
.
C
.
D
.
Assessme
Big Idea 3: MA.6.A.3.6: Second Assessment
nt Title:
5) Emily is conducting an experiment for her school science fair. She measures the height of a
group of plants every week for a month and plots their average height on the graph below.
According to the graph, what is the rate of change of average plant height per week?
A. 1 inch per week
B. 2 inches per week
C. 3 inches per week
D. 4 inches per week
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