Mathematics, Grade 10  (2007)

Session 2, Multiple-choice Questions

You should have a pencil and sheet of paper for this section. You may use your calculator and reference sheet during this session.

 Please read the following information below before you start!!!

There are 18 multiple choice questions. Select the "Grade Me" button after each question. If you get a problem incorrect, work more on that problem until you get it correct. Do not go on to the next question until you get a correct answer. Write down on a sheet of paper the question # and "Report Category" for the question stated below the "Grade Me" button that you got incorrect. For example question 1 report category deals with "measurement". If you got question 1 incorrect you should write the down question #1 and the word "measurement" down on a sheet of paper and study more about questions dealing with "measurement" in the future. Following this procedure will help you with future similar MCAS questions. After you do this continue on to the next question. 

 

 

1)  Which of the following is closest to the circumference, in inches, of a circle that has a diameter of 12 inches? 

A.    18.84

B.    37.68

C.    75.36

D.   113.04

 

Check Your Progress Here!

Reporting Category/Substrand for Item 1: Measurement - Standard  10.M.1

2)    The table below shows the numbers of days Mallory and her friends went skating last month.

 

      Number of Days

          of Skating

Name Number of Days
Angela 12
Chelsea 7
Latifa 11
Mallory 12

What are the mean and median for this set of data?

A.    mean = 10.5; median = 11.5

B.    mean = 10.5; median = 9

C.    mean = 12;  median = 11.5

D.    mean = 12; median = 9

 

Check Your Progress Here!

Reporting Category/Substrand for Item 2: Data Analysis, Statistics, and Probability - Standard 10.D1

3)    A trapezoid and its dimensions are shown below.

 

   

 

 What is the area of the trapezoid?

A.     60 sq. in.

B.    168 sq. in.

C.    210 sq. in.

D.    336 sq. in.

 

Check Your Progress Here!

Reporting Category/Substrand for Item 3:Measurement - Standard 10.M.1   

     

4)    Julia spent 3 hours hiking 6 miles up a hill. She spent 2 hours hiking 8 miles down the hill on a different path.

        For Julia's complete hike up and down the hill, what was her average speed, in miles per hour?

A.     2.0

B.     2.5

C.    2.8

D.    3.0

 

Check Your Progress Here!

Reporting Category/Substrand for Item 4: Patterns, Relations, and Algebra - Standard 10.P.7

 

5)    A Total of 100 people bought all of the tickets that were available for a school raffle.

        The frequency table below shows the number who bought each number of tickets listed. For example, 27 people bought 2 tickets each.

Number of People Buying Raffle Tickets

Number of Tickets Bought 1 2 3 4 6
Number of People 38 27 20 9 6

    For these 100 people, what was the mean number of tickets bought per person?

A.    1.24

B.    2.24

C.    2.50

D.    3.20

Check Your Progress Here!

Reporting Category/Substrand for Item 5:Data Analysis, Statistics, and Probability - Standard 10.D.1

6)     An equilateral triangle and its side lengths are shown below.

 

 

    What is h, the height of the equilateral triangle?

 

.

 

Check Your Progress Here!

Reporting Category/Substrand for Item 6: Geometry - Standard 10.G.6

7)    Two containers in the shape of right circular cylinders are equal in height. The radius of the larger container is 3 times the radius of the smaller container. The volume of the larger container is how many the volume  of the smaller container?

A.    3

B.    6

C.    9

D.    27

 

Check Your Progress Here!

Reporting Category/Substrand for Item 7: Measurement - Standard 10.M.3

8)    

Triangle XYZ and two angle measures are shown in the diagram below

    What is the measure of  ÐY?

 

A.    50°

B.    85°

C.    90°

D.    95°

 

Check Your Progress Here!

Reporting Category/Substrand for Item 8: Geometry - Standard 10.G.5

9)    The length of a rectangle is 1 inch more that 2 times its width. The area  of the rectangle is a 36 square inches. What is the length of the rectangle?

A.    4 inches

B.    6 inches

C.    9 inches

D.   18 inches

 

Check Your Progress Here!

Reporting Category/Substrand for Item 9: Patterns, Relations, and Algebra - Standard 10.P.7

10)      Niraj went on the following airplane flight:

    Which of the following systems of equations can be used to find x, the number of hours in the first part of the flight, and y, the number of hours in the second part of the flight?

 

A.                x + y = 5

        120x +140y = 640

 

B.                x + y = 640

        120x + 140y = 5

 

C.                x + y = 5

        140x + 120y = 640

 

D.                x + y = 640

        140x + 120y = 5

                                            

 

Check Your Progress Here!

Reporting Category/Substrand for Item 10: Patterns, Relations, and Algebra - Standard 10.P.8

 

11)   The girls' soccer coach scheduled practice for 10 days during soccer season. The table below shows the number of players who attended practice each day.

           Practice Attendance Each Day

Day Number of Players
1 12
2 13
3 16
4 10
5 9
6 12
7 14
8 12
9 15
10 16

What is the range of the number of players who attended practice over the 10 days?

A.    4

B.    7

C.    9

D.   16

 

Check Your Progress Here!

Reporting Category/Substrand for Item 11: Data Analysis, Statistics, and Probability - Standard 10.D.1

12)    An artist carved a sphere out of stone. The radius of the sphere is 0.93 meter. Which of the following is closest to the volume of the sphere?

 

A.    3.37 m3

B.    3.62 m3

C.    10.11 m3

D.    11.69 m3

 

Check Your Progress Here!

Reporting Category/Substrand for Item 12: Measurement - Standard 10.M.2

 

13.     Justine drew the bar graph below to represent the time he allocated for each activity during one school day last week.

 

Based on the data in the graph, which of the following best represents the ratio of the time Justin allocated for homework to the time he allocated for school?

 

A.    1/4

B.    5/12

C.    4

D.    10

 

   

Check Your Progress Here!

Reporting Category/Substrand for Item 13: Data Analysis, Statistics and Probability - Standard 10.D.1

14.    The lines in the diagram below represent four streets in Linda's hometown.

 

 

    Keller Street is parallel to Garcia Street and Main Street is parallel to Second Street.

    If mÐ1 = 95°, what is mÐ 2?

A.    75°

B.    85°

C.    95°

D.    105°

 

Check Your Progress Here!

Reporting Category/Substrand for Item 14: Geometry - Standard 10.G.3

15)   Which of the following describes the slope of a horizontal line on the coordinate plane?

          

A.    zero

B.    positive

C.   negative

D.   undefined

 

Check Your Progress Here!

Reporting Category/Substrand for Item 15: Patterns, Relations, and Algebra - Standard 10.P.2

16)    

Parallelogram PQRS is shown below

 

Some of the dimensions of the parallelogram are as follows:

What is the area of the parallelogram?

A.    24 cm2

B.    32.5 cm2

C.    35 cm2

D.    45.5 cm2

 

 

Check Your Progress Here!

Reporting Category/Substrand for Item 16: Measurement - Standard 10.M.1

 

17.     Which of the following is the solution to the inequality below?

                            -4x - 7 < 5

 

A.    x >  -1/2

B.    x <  -1/2

C.    x >  -3

D.    x <  -3

 

   

Check Your Progress Here!

Reporting Category/Substrand for Item 17: Patterns, Relations, and Algebra - Standard 10.P.6

18.    Leroy will arrive at Gary's house at a time between 2 p.m. and 4 p.m. this afternoon. At 2 p.m., Gary will begin to watch a two-hour television program. There are 15 minutes of commercials scheduled to be shown during each hour of the program. Assuming that Leroy's arrival time at Gary's house will be random, what is the probability that Leroy will arrive during a commercial?

 

A.    1/3

B.    1/4

C.   1/8

D.    1/16

 

Check Your Progress Here!

Reporting Category/Substrand for Item 18: Data Analysis, Statistics and Probability - Standard 8.D.4

 

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