XV. Mathematics, Grade 10
XV. Mathematics, Grade 10
MCAS_2017_Gr10_Math_S1_RID
Grade 10 Mathematics Test
The spring 2017 grade 10 Mathematics test was based on standards in the 2011 Massachusetts Curriculum Framework for Mathematics that match content in the grade 9?10 standards from the 2000 Massachusetts Mathematics Curriculum Framework. The standards in the 2011 Framework on the grade 10 test are organized under the five major conceptual categories listed below.
? Number and Quantity
? Algebra
? Functions
? Geometry
? Statistics and Probability
The Massachusetts Curriculum Framework for Mathematics is available on the Department website at doe.mass.edu/frameworks/current.html. More information and a list of standards assessable on the spring 2017 test are available at doe.mass.edu/mcas/transition/?section=math10.
Mathematics test results for grade 10 are reported under four MCAS reporting categories, which are based on the five Framework conceptual categories listed above.
The table at the conclusion of this chapter indicates each item's reporting category, the 2011 Framework standard it assesses, and the 2000 Framework standard it assesses. The correct answers for multiple-choice and short-answer items are also displayed in the table.
Test Sessions
The grade 10 Mathematics test included two separate test sessions, which were administered on consecutive days. Each session included multiple-choice and open-response items. Session 1 also included short-answer items.
Reference Materials and Tools
Each student taking the grade 10 Mathematics test was provided with a grade 10 Mathematics Reference Sheet. A copy of the reference sheet follows the final question in this chapter.
During Session 2, each student had sole access to a calculator with at least four functions and a square root key. Calculator use was not allowed during Session 1.
During both Mathematics test sessions, the use of bilingual word-to-word dictionaries was allowed for current and former English language learner students only. No other reference tools or materials were allowed.
MCAS_2017_Gr10_Math_S1_RID
200
Grade 10 Mathematics
Session 1
You may use your reference sheet during this session. You may not use a calculator during this session.
DIRECTIONS This session contains fourteen multiple-choice questions, four short-answer questions, and three open-response questions. Mark your answers to these questions in the spaces provided in your Student Answer Booklet.
ID:311214 B Common
1 The first four terms in a linear sequence are shown below. 1, 7, 13, 19, . . .
What is the sixth term in the sequence?
A. 30 B. 31 C. 32 D. 33
ID:312338 MCAS1415_Gr10_Math_VP97_A B Common
3 The line plot below shows the number of goals scored by a soccer team in each
of 12 games.
X
XX
X
XX
X
XXXXX
12345 Number of Goals Scored
ID:314972 C Common
2 The length, in centimeters, of a diagonal of a rectangle is represented by the expression below.
112 142
Which of the following is closest to the length of the diagonal?
A. 5 centimeters B. 7 centimeters C. 18 centimeters D. 25 centimeters
Based on the line plot, what is the median number of goals scored by the team in the 12 games?
A. 1 B. 2 C. 3 D. 4
MCAS_2017_Gr10_Math_S1_RID
201
Mathematics
ID:294145 D Common
4 Line g has a slope of 74. Which of the
following equations represents a line that
is perpendicular to line g?
A. y =
7 4
x
B. y =
4 7
x
C.
y
=
4 7
x
D.
y
=
7 4
x
ID:314979 A Common
5 An art museum has two types of pieces of art: paintings and sculptures.
? The museum has 2,009 paintings. ? The museum has 492 sculptures.
Which of the following is closest to the fraction of the museum's pieces of art that are paintings?
A.
20 25
B.
20 24
C.
21 24
D.
21 25
Session 1
ID:311978 B Common
6 A right circular cylinder has a diameter of 10 inches and a height of 3 inches. What is the volume, in cubic inches, of the cylinder?
A. 15 B. 75 C. 225 D. 300
ID:273617 D Common
7 Which of the following is equivalent to the expression below? (4x 6)(2x)
A. 16x B. 20x C. 8x2 6x D. 8x2 12x
MCAS_2017_Gr10_Math_S1_RID
202
Mathematics
ID:312365 D Common
8 Which of the following is equivalent to the expression below? x2 5x 24
A. (x 6)(x 4) B. (x 6)(x 4) C. (x 8)(x 3) D. (x 8)(x 3)
ID:316914 A Common
9 The approximate areas of four oceans are shown in the table below.
Ocean Areas
Ocean
Atlantic Pacific Indian Arctic
Area (square kilometers)
76,762,000 155,557,000 68,556,000 14,056,000
The area of Lake Superior is approximately 82,100 square kilometers. Based on the table, which ocean has an area that is closest to 1,000 times the area of Lake Superior?
A. Atlantic B. Pacific C. Indian D. Arctic
Number of Movies
Session 1
ID:303437 ADJ115_Movie_Lengths.eps C Common
10 The histogram below shows the lengths, in minutes, of the movies shown at Noble Cinema last month.
Movie Lengths at Noble Cinema
6 5 4 3 2 1 0
85?8990?9495?91900?110045?101910?111415?111920?121425?112390?134
Length of Movie (in minutes)
Based on the histogram, which of the following is true?
A. The median movie length was between 105 and 109 minutes.
B. The majority of the movies were between 130 and 134 minutes long.
C. There were a total of twelve movies that were less than 100 minutes long.
D. The number of movies shorter than 105 minutes was the same as the number of movies longer than 104 minutes.
MCAS_2017_Gr10_Math_S1_RID
203
Mathematics
ID:306523 C Common
11 What is the value of the expression below? ( 11)4
A. 11 B. 22 C. 121 D. 1331
Session 1
ID:306553 C Common
13 The volume of a cube is 24 cubic inches. Which of the following estimates is closest to the length of each edge of the cube?
A. 4.9 inches B. 3.1 inches C. 2.9 inches D. 2.5 inches
ID:273262 B Common
12 What are the solutions of the equation below? x2 4x 12 0
A. 26 and 22 B. 26 and 2 C. 28 and 24 D. 28 and 4
MCAS_2017_Gr10_Math_S1_RID
204
Mathematics
ID:307968 NEE167.eps [opt_a01, b01, A Common
14 Which of the following best represents the graph of the equation below?
y
1 2
x
4
Session 1
A.
y
10 8 6 4 2
?10 ?8 ?6 ?4 ?2 0 2 4 6 8 10 x
?2 ?4 ?6 ?8 ?10
C.
y
10 8 6 4 2
?10 ?8 ?6 ?4 ?2 0 2 4 6 8 10 x
?2 ?4 ?6 ?8 ?10
B.
y
10 8 6 4 2
?10 ?8 ?6 ?4 ?2 0 2 4 6 8 10 x
?2 ?4 ?6 ?8 ?10
D.
y
10 8 6 4 2
?10 ?8 ?6 ?4 ?2 0 2 4 6 8 10 x
?2 ?4 ?6 ?8 ?10
MCAS_2017_Gr10_Math_S1_RID
205
Mathematics
Session 1
Questions 15 and 16 are short-answer questions. Write your answers to these questions in the boxes provided in your Student Answer Booklet. Do not write your answers in this test booklet. You may do your figuring in the test booklet.
ID:250652 Common
15 What is the value of the expression below?
32 2 16 4 4 1 2
ID:294526 Common
16 The perimeter of a square is 48 inches. What is the area, in square inches, of the square?
MCAS_2017_Gr10_Math_S1_RID
206
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