2021 NSCAS Grade 7 Item Type Sampler English Language Arts and Mathematics - Student's Name
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2021 NSCAS Grade 7
Item Type Sampler
English Language Arts and Mathematics
Student’s Name:
Nebraska Department of Education 2021Copyright © 2021 by the Nebraska Department of Education. No part of this publication may be reproduced, copied or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written permission of the Nebraska Department of Education.
2021 Grade 7 - Item Type Sampler English Language Arts
4
ENGLISH LANGUAGE ARTS - ITEM TYPE SAMPLER
Directions:
On the following pages of your booklet are passages and questions for the Grade 7
Nebraska Student-Centered Assessment System English Language Arts (NSCAS-ELA)
Item Type Sampler.
Read these directions carefully before beginning this item type sampler.
This item type sampler will include several different types of questions. Some questions are
based on one or two passages. Multiple choice questions will ask you to select an answer
from among four choices. Multiple select questions will ask you to select multiple correct
answers from among five or more answer choices. For some questions, there may be two
parts, Part A and Part B, where each part has a multiple choice or multiple select question.
For all questions:
• Read each question carefully and choose the best answer.
• You may use scratch paper to make notes.
• Be sure to answer ALL the questions on your answer sheet.
When you come to the word STOP, you have finished the Grade 7 NSCAS English
Language Arts Item Type Sampler.
5 STOP.ENGLISH LANGUAGE ARTS - ITEM TYPE SAMPLER
The item on this page is not passage-based.
★ 1. Read the paragraph.
[1] My family has decided to take a Nebraska state vacation this summer. [2] Our first stop is
going to be the Homestead National Monument of America, which honors passage of the
Homestead Act of 1862. [3] There is about 100 acres of tallgrass prairie there, too; it looks
just like it did before pioneers settled Nebraska. [4] Also there is an original homesteader
cabin, called the Palmer-Epard Cabin, built in 1867. [5] There is also, from 1872 to 1967, the
Freeman School that was the longest continuously used school in Nebraska state history, and
it was a one-room school, too. [6] All of this is great, but what my sister and I are looking
forward to is walking on all of the trails at the monument. [7] We are looking at the online
National Park Service map and will convince our parents to park at the Homestead Heritage
Center in the bottom corner. [8] That way we can walk all of the trails in a big loop.
What is the BEST way to revise sentence 5?
A. From 1872 to 1967 there was the Freeman School that was the longest continuously
used school in Nebraska state history, a one-room school.
B. There is also the Freeman School that was the longest continuously used school in
Nebraska state history, from 1872 to 1967, and it was a one-room school.
C. There is also the Freeman School, which was the longest continuously used one-room
school in Nebraska state history, from 1872 to 1967.
D. There is also the longest continuously used school in Nebraska state history, the Freeman
School from 1872 to 1967, and it was a one-room school.
6 Go on to the next page.ENGLISH LANGUAGE ARTS - ITEM TYPE SAMPLER
The item on this page is not passage-based.
★ 2. Read the student’s essay.
Although most people are aware that girls’ athletics offer the same physical benefit as boys’
athletics—overall fitness—recent studies have shown that girls’ participation in sports also
carries unforeseen benefits. First, girls who participate in sports report having fewer problems
with depression and have higher self-esteem than those who don’t participate. Perhaps this
partly accounts for why female athletes graduate at a higher rate, 69 percent, compared to 51
percent for girls who are not in sports. The outlook for even more young women participating
in sports seems likely, especially since a survey of parents found that 83 percent believe that
girls’ athletic programs are as important as boys’ programs.
Which statements need citations to verify the information? Select all that apply.
A. Although most people are aware that girls’ athletics offer the same physical benefit as
boys’ athletics . . .
B. . . . girls who participate in sports report having fewer problems with depression and have
higher self-esteem than those who don’t participate.
C. First, girls who participate in sports . . .
D. . . . female athletes graduate at a higher rate, 69 percent, compared to 51 percent for girls
who are not in sports.
E. . . . a survey of parents found that 83 percent believe that girls’ athletic programs are as
important as boys’ programs.
7 Go on to the next page.ENGLISH LANGUAGE ARTS - ITEM TYPE SAMPLER
The items on this page are not passage-based.
★ 3. Read the paragraph.
Set in America’s heartland, stretching from Iowa to Texas, is a dangerous area known as
Tornado Alley. First named by researchers in 1952, this area of the United States is more
likely to experience tornadoes than any other place in the country (except Florida, which has
over 60 tornadoes per year). Tornado Alley is prime territory for tornadoes because of its
geographic location. Each year, hundreds of supercell thunderstorms form over this region,
which is between two mountain ranges and the Gulf Coast. Despite the large number of
occurrences each year, only a small number of tornadoes cause significant damage. When a
tornado is reported, the National Weather Service assigns it a rating on the Enhanced Fujita
Scale based on different characteristics of the storm (wind speed, size, damage caused, etc.).
Americans who live in Tornado Alley need to be prepared for any size of tornado, simply
because of where they live.
Select the word that could BEST replace set to make the paragraph more precise.
A. fixed
B. found
C. located
D. placed
★ 4. Read the paragraph.
My class went on a field trip to the Neligh Mill State Historic Site near Norfolk, Nebraska.
It was a water-powered flour mill powered by the Elkhorn River, which operated until 1969.
It was built by John Neligh, who also founded the town of Neligh. Grinding wheat, corn,
and buckwheat, the mill began operation on August 29, 1874, when W. C. Gallaway finished
construction. Its turbines were improved so it could supply electricity until 1925. It is now a
museum run by the Nebraska State Historical Society. It commemorates the importance of
flour mills to Nebraska as well as the Western United States.
Which revision needs to be made to improve the author’s sentence fluency?
A. Sentences need to vary more in length.
B. More pronouns should replace proper nouns.
C. The word commemorates should be changed.
D. The beginnings of the sentences need more variation.
8 Go on to the next page.ENGLISH LANGUAGE ARTS - ITEM TYPE SAMPLER
Excerpt from The Little Colonel Stories
by Annie Fellows Johnston
1 It was one of the prettiest places in all Kentucky where the Little Colonel stood that
morning. She was reaching up on tiptoes, her eager little face pressed close against the iron
bars of the great entrance gate that led to a fine old estate known as “Locust.”
2 A ragged little Scotch and Skye terrier stood on its hind feet beside her, thrusting his
inquisitive nose between the bars, and wagging his tasselled tail in lively approval of the
scene before them.
3 They were looking down a long avenue that stretched for nearly a quarter of a mile
between rows of stately old locust-trees.
4 At the far end they could see the white pillars of a large stone house gleaming through the
Virginia creeper that nearly covered it. But they could not see the old Colonel in his big chair
on the porch behind the cool screen of vines.
5 At that very moment he had caught the rattle of wheels along the road, and had picked
up his field-glass to see who was passing. . . . Then his glance fell on the two small strangers
coming through his gate down the avenue toward him. One was the friskiest dog he had ever
seen in his life. The other was a child he judged to be about five years old. . . .
6 There was something strangely familiar about the child, especially in the erect, graceful
way she walked.
7 Old Colonel Lloyd was puzzled. He had lived all his life in Lloydsborough, and this was
the first time he had ever failed to recognize one of the neighbours’ children. He knew every
dog and horse, too, by sight if not by name.
8 Living so far from the public road did not limit his knowledge of what was going on in
the world. A powerful field-glass brought every passing object in plain view, while he was
saved all annoyance of noise and dust.
9 “I ought to know that child as well as I know my own name,” he said to himself. “But the
dog is a stranger in these parts. Liveliest thing I ever set eyes on! They must have come from
the hotel. Wonder what they want.”
10 He carefully wiped the lens for a better view. When he looked again he saw that they
evidently had not come to visit him.
11 They had stopped half-way down the avenue, and climbed up on a rustic seat to rest.
12 The dog sat motionless about two minutes, his red tongue hanging out as if he were
completely exhausted.
9 Go on to the next page.ENGLISH LANGUAGE ARTS - ITEM TYPE SAMPLER
13 Suddenly he gave a spring, and bounded away through the tall blue grass. He was back
again in a moment, with a stick in his mouth. Standing up with his fore paws in the lap of his
little mistress, he looked so wistfully into her face that she could not refuse this invitation for
a romp.
14 The Colonel chuckled as they went tumbling about in the grass to find the stick which the
child repeatedly tossed away. . . .
15 It had been many a long year since those old locust-trees had seen a sight like that.
Children never played any more under their dignified shadows. . . .
16 Suddenly the little maid stood up straight, and began to sniff the air, as if some delicious
odour had blown across the lawn.
17 “Fritz,” she exclaimed, in delight, “I ’mell ’trawberries!”
18 The Colonel, who could not hear the remark, wondered at the abrupt pause in the game.
He understood it, however, when he saw them wading through the tall grass, straight to his
strawberry bed. It was the pride of his heart, and the finest for miles around. The first berries
of the season had been picked only the day before. Those that now hung temptingly red on
the vines he intended to send to his next neighbour, to prove his boasted claim of always
raising the finest and earliest fruit.
19 He did not propose to have his plans spoiled by these stray guests. Laying the field-glass
in its accustomed place on the little table beside his chair, he picked up his hat and strode
down the walk. . . .
20 He could not hear the happiest of little voices that was just then saying, “Oh, Fritz, isn’t
you glad we came? An’ isn’t you glad we’ve got a gran’fathah with such good ’trawberries?”
21 It was hard for her to put the s before her consonants.
22 As the Colonel came nearer she tossed another berry into the dog’s mouth. A twig
snapped, and she raised a startled face toward him. . . .
23 “What are you doing here, child?” he asked, in a voice so much kinder than his eyes that
she regained her usual self-possession at once.
24 “Eatin’ ’trawberries,” she answered, coolly.
25 “Who are you, anyway?” he exclaimed, much puzzled. As he asked the question his gaze
happened to rest on the dog, who was peering at him through the ragged, elfish wisps of hair
nearly covering its face, with eyes that were startlingly human. . . .
26 “Mothah calls me her baby,” was the soft-spoken reply, “but papa an’ Mom Beck they
calls me the Little [Colonel].”
27 “What under the sun do they call you that for?” he roared.
28 “’Cause I’m so much like you,” was the startling answer.
10 Go on to the next page.ENGLISH LANGUAGE ARTS - ITEM TYPE SAMPLER
5. Which phrase in paragraph 4 helps the reader understand what Virginia creeper is?
A. big chair
B. white pillars
C. screen of vines
D. large stone house
6. This question has two parts. Answer Part A, and then answer Part B.
Part A
Read the sentence.
“Standing up with his fore paws in the lap of his little mistress, he looked so wistfully
into her face that she could not refuse this invitation for a romp.”
What is the meaning of wistfully?
A. angrily and bittery
B. frantically and wildly
C. excitedly and eagerly
D. sadly and thoughtfully
Part B
Based on your answer in Part A, which sentence uses the word wistfully the same way it is
used in the excerpt?
A. The commander rode by, yelling wistfully at his soldiers.
B. I screamed wistfully when I saw my father come home after a long trip.
C. The high school coach wistfully ran on the court to assist his injured player.
D. Dean looked wistfully at his old house as he remembered the good times he had
had there.
11 Go on to the next page.ENGLISH LANGUAGE ARTS - ITEM TYPE SAMPLER
7. What is the tone in paragraphs 1–4 of the excerpt?
A. sad and depressing
B. anxious and frustrated
C. humorous and mocking
D. light-hearted and curious
8. From what point of view is this excerpt told?
A. first person, told by the little girl
B. first person, told by the Old Colonel
C. third person, limited to the Old Colonel’s thoughts and experiences
D. third person, providing the thoughts and experiences of both characters
9. What is MOST LIKELY the author’s purpose for writing this excerpt?
A. to inform readers how to care for a plantation
B. to entertain with a story about two people meeting
C. to illustrate conflicts between different generations
D. to share observations with readers about life in the Old South
12 Go on to the next page.ENGLISH LANGUAGE ARTS - ITEM TYPE SAMPLER
10. Based on information in the story, why is the estate called “Locust”?
A. It was named after the Old Colonel.
B. It was named after the grassy fields.
C. It was named after the trees on the estate.
D. It was named for the insects that roam the field.
11. This question has two parts. Answer Part A, and then answer Part B.
Part A
What is the relationship between the young girl and the Old Colonel in the story?
A. They are neighbors.
B. They are close friends.
C. He is the young girl’s father.
D. She is the old man’s granddaughter.
Part B
Which pieces of textual evidence support your answer in Part A? Select all that apply.
A. Then his glance fell on the two small strangers coming through his gate . . .
B. The other was a child he judged to be about five years old. . . .
C. “Who are you, anyway?” he exclaimed, much puzzled.
D. “An’ isn’t you glad we’ve got a gran’fathah with such good ’trawberries?”
E. “but papa an’ Mom Beck they calls me the Little [Colonel]. . . . Cause I’m so much
like you.”
13 Go on to the next page.ENGLISH LANGUAGE ARTS - ITEM TYPE SAMPLER
from Women in STEM: Saving the Natural World through Conservation
As manager of Valle de Oro National Wildlife Refuge, Jennifer Owen-White is used to getting her
hands dirty. Established in 2012, Valle de Oro is the first urban wildlife refuge in the southwest,
and it’s becoming an important asset for the residents of New Mexico. In a recent . . . talk,
Owen-White shared her story of why she gave up being a doctor to play in the dirt and why we
need more women in the conservation field.
Valle de Oro National Wildlife Refuge in Albuquerque, New Mexico, is one of the
newest wildlife refuges in the country. What makes it unique?
1 Valle de Oro National Wildlife Refuge is the first urban national wildlife refuge in the
Southwest region, but what really makes it special is the community support and involvement
in the refuge’s establishment and development. People from the surrounding neighborhood
created Friends of Valle de Oro because they were concerned about what the land would turn
into and wanted to see something positive for their community and families. Community
members continue to play an active role in the refuge’s design and development—Valle de
Oro is built BY and FOR its community!
Why are urban wildlife refuges important?
2 Urban refuges bring the great conservation and restoration work of U.S. Fish and
Wildlife Service to the front doors and backyards of large populations of people, some of
whom have limited access to the outdoors. This is key for Valle de Oro—45 percent of
New Mexico’s population lives within 30 minutes of the refuge. Providing a safe place for
community members to get outside that’s easy to get to, allows people who may have never
played in a field or experienced wildlife to learn about the connection between people and a
healthy environment. This is critical not only to the success of Valle de Oro but also
conservation work all over the country.
What are some interesting things visitors can do or learn about at Valle de Oro?
What’s your favorite part of the refuge?
3 Since Valle de Oro is in its very beginning stages, it still looks like a dairy farm. . . . The
refuge doesn’t have trails or habitat restoration YET, but there is still a lot of wildlife to be
seen. Our first Sandhill Cranes of the season showed up in early October, and in total over
200 species of birds have been seen in the area. Prairie dogs were just spotted on the property
for the first time this summer, and through visitor observations and student research, we are
adding new species to the refuge list all the time.
4 What’s most exciting requires multiple visits: Visitors can experience and even be a part
of the refuge’s growth and development! Watching the property go from basically a blank
slate to a vibrant community asset that serves wildlife and people is something everyone can
be a part of.
14 Go on to the next page.ENGLISH LANGUAGE ARTS - ITEM TYPE SAMPLER
You recently gave a . . . talk about getting more women in conservation. How did you
end up working in this field?
5 As a young girl, I loved science and did well in school so I felt pressure to become a
doctor—even though all my free time was spent outdoors learning about animals. Through
soul-searching, following my passion, some great role models and supportive friends, I
finally put stock into what really fulfilled me as opposed to what I could do to impress others.
Now I am incredibly happy and fulfilled because I have a job that is exciting, engaging and
makes a difference. I am proud of the work I do, and you know what—so is my family . . . .
What are some of the cool projects you’ve worked on in your career as a
conservationist?
6 Once I made the decision to focus on conservation biology, I was overwhelmed by great
opportunities! As an undergraduate student, I worked in a lab studying Morelet’s Crocodiles,
and for my Master’s Degree, I spent time in the Caribbean studying Cuban Treefrogs. As
a Fish and Wildlife Services employee, I have helped on projects with Kemp’s Ridley Sea
Turtles (they’re endangered), Ocelots and Peregrine Falcons. I even spent a couple weeks in
China, talking with Chinese reserve managers and conservation officials about connecting
people to birds.
You mentor a number of young women. What’s one piece of advice you would give all
women—or even young men?
7 My biggest advice would be to diversify your skills. I studied conservation biology AND
environmental education/interpretation—I loved both and didn’t want to choose one over the
other. Being a biologist who can make scientific data understandable and relatable has given
me opportunities that I wouldn’t have had if I focused on one or the other. Diversity is the
key to success in our ecosystems, our communities and our careers.
15 Go on to the next page.ENGLISH LANGUAGE ARTS - ITEM TYPE SAMPLER
12. If the suffix -ation means “action or process,” what does the word restoration mean in
paragraph 2?
A. the act of returning something to its original state
B. the act of taking on the work of another organization
C. the process of involving community members in a task
D. the process of moving an organization closer to an urban area
13. According to the information in paragraph 5, what did Ms. Owen-White feel would
impress others?
A. becoming a doctor
B. becoming a role model
C. being happy and fulfilled
D. managing a wildlife refuge
14. Select the words that are synonyms of the word focus in paragraph 6. Select all that apply.
A. attention
B. challenge
C. concentrate
D. distract
E. ignore
16 Go on to the next page.ENGLISH LANGUAGE ARTS - ITEM TYPE SAMPLER
15. What does the word overwhelmed mean in paragraph 6?
A. overboard
B. overcome
C. overdue
D. overlooked
16. After which interview question does Ms. Owen-White indicate that changes are coming
to the refuge?
A. What makes it unique?
B. Why are urban wildlife refuges important?
C. What’s your favorite part of the refuge?
D. How did you end up working in this field?
17. Which text from the passage BEST supports the idea that the refuge has multiple goals?
A. . . . something positive for their community . . .
B. . . . conservation work all over the country.
C. . . . asset that serves wildlife and people . . .
D. . . . focused on one or the other.
17 Go on to the next page.ENGLISH LANGUAGE ARTS - ITEM TYPE SAMPLER
18. Which phrase from paragraph 2 BEST helps determine the meaning of conservation?
A. front doors and backyards
B. limited access to the outdoors
C. safe place for community members to get outside
D. connection between people and a healthy environment
19. Which word BEST describes the interviewer’s attitude toward conservation?
A. delighted
B. disappointed
C. interested
D. unconvinced
20. Which text from the passage states an opinion?
A. Valle de Oro National Wildlife Refuge is the first urban national wildlife refuge in the
Southwest region, . . .
B. . . . allows people who may have never played in a field or experienced wildlife to
learn . . .
C. Our first Sandhill Cranes of the season showed up in early October, . . .
D. . . . I have a job that is exciting, engaging and makes a difference.
18 STOP.THIS IS THE END OF THE
THISSECTION
CALCULATOR IS THE END
OF THE TEST
OF THIS CONTENT SECTION
You may NOT use a calculator for any other questions on this test.
Please wait for your Proctor to instruct you to
Raise your hand and notify your Examiner or Proctor that you are
ready move
to turnon to the
in your next content section of the sampler.
calculator.
Once your Examiner has collected your calculator and given you
permission, you may go on to the non‐calculator section of the test.
On
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202021
Grade 7 - Item Type Sampler
Mathematics22
PART 1 MATHEMATICS - ITEM TYPE SAMPLER
Directions:
On the following pages of your booklet are questions for the Grade 7 Nebraska
Student-Centered Assessment System Mathematics (NSCAS-M) Item Type Sampler.
Read these directions carefully before beginning the item type sampler.
This item type sampler will include several different types of questions. Multiple
choice questions will ask you to select an answer from among four choices. Multiple
select questions will ask you to select multiple correct answers from among five or
more choices. For some questions, there may be two parts, Part A and Part B, where
each part has a multiple choice or multiple select question. These questions will be
found in your item type sampler.
For all questions:
• Read each question carefully and choose the best answer.
• You may use scratch paper to solve the problems.
• The Mathematics Reference Sheet is provided in the back of the Mathematics section.
You may refer to this page at any time during the sampler.
• You may use a calculator ONLY for questions 1–6. You may NOT use a
calculator for any other questions on this sampler.
• Be sure to answer ALL the questions.
When you come to the word STOP at the end of Part 1, you have finished Part 1
of the Grade 7 NSCAS Mathematics Item Type Sampler. You may review ONLY Part 1
to check your answers. Your calculator must be collected before you can continue with
Part 2. When your calculator has been collected, and your proctor has given you
permission, you may move on to Part 2.
When you are finished with Part 2, you may review ONLY Part 2 to check your answers.
23 STOP.MATHEMATICS - ITEM TYPE SAMPLER PART 1
1. Use the figure below to answer the question.
600 meters
1000 meters
400 meters
1200 meters
The figure shows three pieces of land available for development. What is the total area of
the land available for development?
A. 840,000 meters squared
B. 1,020,000 meters squared
C. 1,080,000 meters squared
D. 1,200,000 meters squared
24 Go on to the next page.PART 1 MATHEMATICS - ITEM TYPE SAMPLER
2. The table shows the relationship between and .
Which ordered pairs have the same relationship between and as the ordered pairs in the
table? Select all that apply.
A.
B.
C.
D.
E.
F.
25 Go on to the next page.MATHEMATICS - ITEM TYPE SAMPLER PART 1
3. Use the diagram of a block below to answer the question.
3 inches
1 inch
2 inches
3 inches
2 inches
7 inches
What is the surface area of the block?
A. 48 square inches
B. 92 square inches
C. 104 square inches
D. 116 square inches
4. A store sells all of its products at a price 15% greater than the price the store paid for the
product. How much does the store sell a product for when the store paid $120 for the
product?
A. $102
B. $135
C. $138
D. $180
26 Go on to the next page.PART 1 MATHEMATICS - ITEM TYPE SAMPLER
5. The graph shows Kara’s expenses this month.
Monthly Expenses
other food
15% 30%
savings
5%
entertainment
10%
rent
transportation 25%
15%
The total of Kara’s expenses this month was $3,500. How much more did Kara spend on rent
than on transportation?
A. $350
B. $525
C. $875
D. $1,400
27 Go on to the next page.MATHEMATICS - ITEM TYPE SAMPLER PART 1
6. Use the graph to answer the questions.
y
6
5
4
3
2
1
x
–6 –5 –4 –3 –2 –1 1 2 3 4 5 6
–1
–2
–3
–4
–5
–6
Part A
What is the area of the circle?
A. 18.84 square units
B. 19.63 square units
C. 28.26 square units
D. 36.00 square units
Part B
What is the circumference of the circle?
A. 15.70 units
B. 18.84 units
C. 28.26 units
D. 37.68 units
28 STOP.THIS
THIS IS
IS THE
THE END
END OF
OF THE
THE
THIS IS THE
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CALCULATOR ENDOF
SECTION
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OF THE
THE TEST
TEST
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collected your
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and given
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permission, you may go on to the non‐calculator section of the test.
you may go on to the non‐calculator section of the test.
permission, you may go on to the non-calculator section of the sampler.
On
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STOP.
STOP.MATHEMATICS - ITEM TYPE SAMPLER PART 2
7. Tiffany bought songs for per song. Which equation shows the BEST estimate of
the total cost?
A.
B.
C.
D.
8. As a fundraiser, a student group is selling bags of cookies for .
Which proportion could be used to determine the number of bags of cookies that someone
could purchase for ?
A.
B.
C.
D.
30 Go on to the next page.PART 2 MATHEMATICS - ITEM TYPE SAMPLER
9. Use the table below to answer the question.
Elizabeth’s Number Cube Experiment
Number Tally Total
1 2
2 1
3 2
4 4
5 6
6 3
Total 18
The table shows Elizabeth’s results from rolling a fair number cube. How does the set of data
from Elizabeth’s experiment compare to the theoretical probability?
A. The number 1 occurred more B. The number 4 occurred more
than expected. than expected.
C. The number 5 occurred less than D. The number 6 occurred less than
expected. expected.
31 Go on to the next page.MATHEMATICS - ITEM TYPE SAMPLER PART 2
10. Brad will work for no more than hours painting lamps and vases. It takes him minutes
to paint a lamp and minutes to paint a vase.
Part A
Which inequality can be used to describe , the number of lamps, and , the number of
vases, that Brad can paint?
A.
B.
C.
D.
Part B
If Brad paints lamps in that time, what is the greatest number of vases he can paint?
A. vase
B. vases
C. vases
D. vases
11. Use the proportion below to answer the question.
What is the value of ?
A.
B.
C.
D.
32 Go on to the next page.PART 2 MATHEMATICS - ITEM TYPE SAMPLER
12. Use the picture below to answer the question.
A C
C B
C
What is the probability of spinning a C?
A.
B.
C.
D.
13. What is the measure of an angle supplementary to an angle measuring 75°?
A. 15°
B. 25°
C. 105°
D. 115°
33 Go on to the next page.MATHEMATICS - ITEM TYPE SAMPLER PART 2
14. What is the value of the expression when and ?
A.
B.
C.
D.
15. Juan spins two different fair spinners. One spinner has numbers through . The other
has letters A through F. What is the probability that one spinner will land on and the
other will land on C?
A.
B.
C.
D.
16. Which inequality is equivalent to ?
A.
B.
C.
D.
34 Go on to the next page.PART 2 MATHEMATICS - ITEM TYPE SAMPLER
17. What is the value of ?
A.
B.
C.
D.
18. What is the value of when ?
A.
B.
C.
D.
35 Go on to the next page.MATHEMATICS - ITEM TYPE SAMPLER PART 2
19. A spinner is spun 20 times. The results are recorded in the table.
4 1
3 2
Experimental Results
1 2 3 4
Which comparisons are correct? Select all that apply.
A. The experimental probability of spinning 1 is less than the theoretical probability of
spinning 1.
B. The experimental probability of spinning 1 is greater than the theoretical probability of
spinning 1.
C. The experimental probability of spinning 2 is equal to the theoretical probability of
spinning 2.
D. The experimental probability of spinning 2 is greater than the theoretical probability of
spinning 2.
E. The experimental probability of spinning 3 is less than the theoretical probability of
spinning 3.
F. The experimental probability of spinning 3 is equal to the theoretical probability of
spinning 3.
36 Go on to the next page.PART 2 MATHEMATICS - ITEM TYPE SAMPLER
20. Jim is creating a scale drawing of an airplane. The scale factor is one inch equals seven feet.
The length of the actual airplane is feet. What is the length of the airplane in the scale
drawing?
A. inch
B. inches
C. inches
D. inches
37 STOP.PAGE INTENTIONALLY
LEFT BLANK
DO NOT WRITE ON THIS PAGE
38Mathematics Grade 7 and Grade 8 Reference Sheet
Mathematics Grade 7 and Grade 8 Reference Sheet
Shape Area Circumference Key
Circle � = �� 2 � = �� = 2�� � = base � = length
1
Triangle � = �ℎ Perimeter ℎ = height � = width
2
Rectangle � = �� � = 2� + 2� = 2(� + �) � = area of base � = side length
1
Trapezoid � = ℎ(�1 + �2 )
2
� = height of triangular prism
�1 , �2 , �3 are the lengths of each
Parallelogram � = �ℎ side of the triangular base
Square � = �2 � = diameter � = radius
Use 3.14 for �.
3 – Dimensional Shape Volume Surface Area
Rectangular Prism � = ��ℎ = �ℎ �� = 2�� + 2�ℎ + 2�ℎ = 2� + 2�� + 2�ℎ
1
Triangular Prism � = ��ℎ = �ℎ
2
�� = �ℎ + (�1 + �2 + �3 )� = 2� + (�1 + �2 + �3 )�
1
Cone � = �� 2 ℎ Percent Change
3
���������� �� ������
Cylinder � = �� 2 ℎ % change =
�������� ������
4
Sphere � = �� 3
3 Pythagorean Theorem
� 2 = �2 + � 2
Standard Units Metric Units
Conversions – Length
1 yard (yd) = 3 feet (ft) = 36 inches (in.) 1 meter (m) = 100 centimeters (cm)
1 mile (mi) = 1,760 yards (yd) = 5,280 feet (ft) 1 meter (m) = 1,000 millimeters (mm)
1 kilometer (km) = 1,000 meters (m)
Conversions – Volume
1 cup = 8 fluid ounces (fl oz) 1 liter (l) = 1,000 milliliters (ml)
1 pint (pt) = 2 cups 1 liter (l) = 1,000 cubic centimeters (cu. cm)
1 quart (qt) = 2 pints (pt)
1 gallon (gal.) = 4 quarts (qt)
Conversions – Weight/Mass
1 pound (lb) = 16 ounces (oz) 1 gram (g) = 1,000 milligrams (mg)
1 ton = 2,000 pounds (lb) 1 kilogram (kg) = 1,000 grams (g)You can also read
