7th Grade MCT2 Practice Test

28
 Student Name GRADE 7 PRACTICE TEST BOOK MCT2 Mississippi C urriculum T est, Second Edition MATHEMATICS

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Math Practice Test

Transcript of 7th Grade MCT2 Practice Test

  • Student Name

    GRADE

    77PRACTICE

    TEST BOOK

    MMCCTT22Mississippi Curriculum Test, Second Edition

    MATHEMATICS

    MSGr7M-PT 2/14/08 10:28 AM Page 1

  • Developed and published under contract with the Mississippi Department of Education by Pearson Educational Measurement, Inc., or itsaffiliates, 2510 N. Dodge Street, Iowa City, IA 52245-USA. Copyright 2008 by Mississippi Department of Education. All rights reserved.No part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system,without the prior written permission of the publisher. The Mississippi logo appears courtesy of the Mississippi Development Authority.

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    Mathematics

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    MMark your answers for questions 160 on your answer document. Mark only one answerfor each question. You may write in your test booklet, but you must mark your answers onyour answer document.

    2. What is the value of the expressionshown below when a = 36, b = 12, and c = 2?

    F. 9

    G. 18

    H. 27

    J. 81

    3( )a b c

    4. The highest point in the state of

    Washington is Mt. Rainier, which is

    14,410 feet tall. The height can be

    written in scientific notation as

    What is the value of n?

    F. 1.441

    G. 14.41

    H. 144.1

    J. 1,441

    n 10 4.

    1. If the sum of three numbers is 200 andthe smallest number is 25, could thelargest number be 75?

    A. Yes, because the sum of 25 and 75 isless than 200.

    B. Yes, because the difference between75 and 25 is less than 75.

    C. No, because the sum of 25 and 100 ismore than 100.

    D. No, because the difference between200 and 100 is more than 75.

    3. A recipe requires cups of milk.

    Which of the following statements

    explains how to calculate the amount of

    milk needed to make of the recipe?

    A. Divide by

    B. Subtract from

    C. Divide by 2.

    D. Multiply by 2.3 34

    3 34

    3 34

    .12

    12

    .3 34

    12

    3 34

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    M7. Alden drew a line of symmetry on the

    following figure.

    Which statement best justifies thatAldens line is a line of symmetry?

    A. When the figure is folded, the twoparts are the same shape and thesame size.

    B. When the figure is folded, the twoparts have the same number ofangles.

    C. When the figure is folded, the twoparts are the same shape.

    D. When the figure is folded, the twoparts are the same size.

    5. The angles formed by the hands ofwhich two clocks appear to be closest tocomplementary angles?

    A. 1 and 2

    B. 1 and 3

    C. 2 and 3

    D. 2 and 4

    1

    12

    6

    9 32

    457

    8

    1011 1

    3

    12

    6

    9 32

    457

    8

    1011 1

    2

    12

    6

    9 32

    457

    8

    1011 1

    4

    12

    6

    9 32

    457

    8

    1011 1

    6. The pattern below starts with 1.

    1, 2, 2, 4, 8, 32, . . .

    Which rule could be used to find eachterm after the second term in thepattern?

    F. Add the 2 previous terms.

    G. Multiply the 2 previous terms.

    H. Square each previous term.

    J. Divide the 2 previous terms.

    8. Jeremy ran 440 meters each day for5 days during physical education class.How many total kilometers did he runduring these 5 days?

    F. 2.2

    G. 22

    H. 220

    J. 2200

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    M9. Erica surveyed the students in her class to see what their favorite sport is, then

    constructed a circle graph with the results.

    If 20% chose football, 20% chose golf, 25% chose volleyball, and the rest choseswimming, which of the following graphs did Erica create?

    A. C.

    B. D.

    Football

    Swimming

    Golf

    Volleyball

    Football

    Golf

    Swimming

    Volleyball

    Swimming

    Football

    GolfVolleyball

    Golf Football

    10. Which phrase describes a fraction that is

    between and

    F. Any fraction with a numerator of 5

    G. Any fraction with a denominator of 8

    H. Any fraction with a denominator of63 and a numerator less than 63

    J. Any fraction with a denominator of 63 and a numerator between 35and 45

    57

    ?59

    11. Caleb ate c carrots and p pickles each dayfor a full week. He used the expression

    to represent the number ofvegetables he ate that week.

    Which equation correctly shows theDistributive Property?

    A.

    B.

    C.

    D. 7 7( ) ( )c p cp+ =

    7 7( )c p c p+ = +

    7 7 7( )c p c p+ = +

    7 7( ) ( )c p c p+ = + +

    7( )c p+

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    M14. For each grade, the number of students

    in the journalism club at Carver MiddleSchool is given below.

    7 students from sixth grade

    15 students from seventh grade

    20 students from eighth grade

    If one student will be chosen at randomto interview the mayor, what is theprobability that the student chosen is inthe sixth grade?

    F.

    G.

    H.

    J. 1021

    514

    15

    16

    12. Cheryl drew the following hexagonalprism.

    Which properties does Cherylshexagonal prism have?

    F. 8 faces, 18 vertices, and 12 edges

    G. 8 faces, 16 vertices, and 16 edges

    H. 8 faces, 12 vertices, and 18 edges

    J. 7 faces, 10 vertices, and 15 edges

    15. Do all of the following expressions equal2a for all values of a?

    a plus a

    a times a

    2 times a

    A. No, because is equivalent to

    B. No, because is not equivalent to

    C. Yes, because is equivalent to

    D. Yes, because is equivalent toa a+ .

    2a

    0 0 .0 0+

    1 1+ .1 1

    12.1 1

    13. The equation below can be used to findq, the number of quarters equal to 60 dollars.

    How many quarters are equal to 60 dollars?

    A. 15

    B. 56

    C. 64

    D. 240

    q4

    60=

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    M

    19. Charles knows that the length of a nail

    should be 3 times the thickness of the

    board being fastened by it.

    If a boards thickness is inch, which

    equation can be used to find N, the

    length of the nail?

    A.

    B.

    C.

    D. N = 34

    13

    N = 3 34

    N = 34

    3

    N = 34

    3

    34

    18. At an appliance store the entire stock ofmicrowaves was on sale. The store sold19 microwaves and had 23 remaining instock after the sale. The equation belowcan be used to find x, the number ofmicrowaves that were in stock beforethe sale.

    How many microwaves were in stockbefore the sale?

    F. 4

    G. 14

    H. 32

    J. 42

    x 19 23 =

    17. The table below represents a pattern.

    Which rule best represents this pattern?

    A.

    B.

    C.

    D. y x= 2

    y x= 4 8

    y x= +2 3

    y x= 3 4

    8

    11

    14

    17

    yx

    4

    5

    6

    7

    16. What is the area, in square units, of therhombus shown on the grid below?

    F. 5

    G. 12

    H. 16

    J. 24

    y

    x

    54

    6789

    3210123456789

    1 123456789 2 3 4 5 6 7 8 9

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    M

    23. The Positives played the Negatives in agame of three-on-three basketball. Theteam members basketball jerseys arepictured below.

    Which is the correct order, from least togreatest, of the numbers on the playersbasketball jerseys?

    A.

    B.

    C.

    D. , , , , ,32 30 12 3 15 42

    , , , , ,12 30 32 3 15 42

    3 15 42 12 30 32, , , , ,

    3 12 15 30 32 42, , , , ,

    12 32 30

    15 3 42

    22. Students who buy tickets at a localmovie theater receive a 10% discount onthe price of a ticket.

    What is the total price for 4 studentstickets if the regular cost per ticket is$6.00?

    F. $5.40

    G. $6.60

    H. $21.60

    J. $26.40

    21. What is written

    in scientific notation?

    A.

    B.

    C.

    D. 830 101

    83 10 2

    0 83 10 2.

    8 3 101.

    ( . ) ( . )2 49 10 3 0 104 2

    20. Grace says that the graph of thefollowing function table will be a verticalline.

    Is Grace correct?

    F. No, because the line will behorizontal.

    G. No, because the line does not gothrough the origin.

    H. Yes, because the line goes throughthe y-axis.

    J. Yes, because all of the values of yare the same.

    yx

    2

    1

    0

    1

    2

    2

    2

    2

    2

    2

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    M24. Marilyn used a recipe to cook fish which calls for different numbers of fish to make

    different numbers of servings. She used the equation below to find f, the number offish needed for n, the number of servings she wants to make.

    Which table represents this relationship correctly?

    F. H.

    G. J.

    2

    3

    4

    5

    6

    9

    12

    15

    Number of Fish (f )

    Number of Servings (n)

    2

    3

    4

    5

    7

    10

    13

    16

    Number of Fish (f )

    Number of Servings (n)

    3

    4

    5

    6

    8

    11

    14

    17

    Number of Fish (f )

    Number of Servings (n)

    2

    3

    4

    5

    5

    8

    11

    14

    Number of Fish (f )

    Number of Servings (n)

    f n= 3 1

    25. Ryan bought three packages of slicedturkey. Their weights were 1 pound 10 ounces, 1 pound 6 ounces, and 1 pound 2 ounces.

    What was the total weight of the threepackages of turkey?

    A. 2 pounds 8 ounces

    B. 3 pounds 6 ounces

    C. 4 pounds 2 ounces

    D. 4 pounds 8 ounces

    26. The lengths of the sides of MNO are 40 centimeters, 50 centimeters, and30 centimeters.

    Which formula could be used to showthat MNO is a right triangle?

    F. 302 402 502

    G. 302 502 402

    H. 402 502 302

    J. 402 302 502

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    M27. The 300 summer campers at Riverview

    Park voted for their favorite field trip.They choose between going hiking,going to a theme park, or going to abeach. The circle graph below shows thevoting results.

    How many campers voted for the hikingfield trip?

    A. 60

    B. 100

    C. 120

    D. 150

    Favorite Field Trip Voting Results

    Beach40%

    Theme Park40%

    Hiking20%

    28. Alexis created a scale drawing to

    represent the floor dimensions of a

    storage bin.

    Alexiss scale drawing represents the

    longest side of the storage bin as

    inches.

    What is the actual length, in feet, of the

    longest side of the storage bin?

    F. ft

    G. ft

    H. ft

    J. 11 ft

    5 12

    2 14

    178

    2 34

    Alexiss Scale Drawing

    Scale 12 in. = 1 ft

    2 34 in.

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    M29. Mona used a rule to create the table of

    values below.

    Which of the following rules do thevalues for n and b in the table satisfy?

    A.

    B.

    C.

    D. b n= 18

    b n= 19

    b n= +18

    b n= +19

    57

    76

    95

    114

    (b)(n)

    3

    4

    5

    6

    30. The manager of Crispy Quick Burgersrecorded the number of hamburgers soldeach hour from 10 a.m. to 12 noon andfrom 1 p.m. to 8 p.m. for one day, asshown below.

    12, 11, 10, 23, 19, 14, 17, 31, 24

    The manager found that the range of thedata was 21.

    If 35 hamburgers were sold between 12noon and 1 p.m., how will the range ofthe data change?

    F. It will increase by 1

    G. It will increase by 4

    H. It will increase by 7

    J. It will increase by 35

    32. Connie used 1 rectangle and 2 circles tomake a three-dimensional shape,without any overlapping parts.

    Which of these shapes did Connie make?

    F. Cone

    G. Sphere

    H. Cube

    J. Cylinder

    31. Which of the following statementscorrectly explains how to perform arotation, then a reflection of a figure onthe coordinate plane?

    A. Turn the figure clockwise by thespecified number of degrees andthen flip the figure over thespecified line of reflection orsymmetry.

    B. Slide the figure the specifiednumber of units and then flip thefigure over the specified line ofreflection or symmetry.

    C. Turn the figure clockwise by thespecified number of degrees andthen slide the figure the specifiednumber of units.

    D. Flip the figure over the specified lineof reflection or symmetry and thenturn the figure clockwise by thespecified number of degrees.

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    M33. Ms. Loman made a table to show the number of employees who worked at her store

    each day for three weeks, as shown below.

    Later Ms. Loman added the following data for Week 4.

    What will be the change in mode if the Week 4 data is added to Ms. Lomans table?

    A. Changes from 22 to 24

    B. Changes from 22 to 23

    C. Changes from 24 to 22

    D. Changes from 23 to 22

    23 23 24 23 24

    Week

    1

    2

    3

    Employee Attendance

    Day

    Mon.

    22

    24

    24

    Tue.

    24

    22

    23

    Wed.

    23

    22

    23

    Thur.

    22

    24

    22

    Fri.

    22

    24

    21

    34. The equation below can be used to findy, the number of yards in 132 feet.

    3y 132

    How many yards are equal to 132 feet?

    F. 40

    G. 44

    H. 227

    J. 396

    35. A new middle school plans to havereserved spaces for bicycles for studentswho ride their bicycles to school. Eachspace will be in the shape of a rectangle.Each space will have a width of 2 feetand a length of 6 feet.

    If the school plans to have 40 bicyclespaces, what is the minimum area, insquare feet, that will be needed forbicycle spaces?

    A. 12

    B. 16

    C. 320

    D. 480

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    M36. Which of the following shows a triangle and the 180 rotation of the triangle about the

    origin?

    F. H.

    G. J. y

    x

    54321

    12345

    012345 1 2 3 4 5

    y

    x

    54321

    12345

    012345 1 2 3 4 5

    y

    x

    54321

    12345

    012345 1 2 3 4 5

    y

    x

    54321

    12345

    012345 1 2 3 4 5

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    M37. Freddie made a paper fan with the angle shown below.

    Which of the following angles is a supplement of the angle of Freddies fan?

    A. C.

    B. D.

    120

    105

    25

    75

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    M38. Dorian wants to make a circle graph to display the data shown in the table below.

    Which of the following circle graph models can best represent the data in the table?

    F. H.

    G. J.

    Favorite Sports

    Football

    Baseball

    Tennis

    Soccer

    Number of Students

    40

    20

    5

    15

    Sport

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    M

    41. Celeste used the following function tableto make a graph.

    Which graph shape would represent theconnected points in Celestes functiontable?

    A. A straight line that slopes up fromleft to right

    B. A straight line that slopes downfrom left to right

    C. A symmetrical V-shape that opensdown

    D. A symmetrical V-shape that opensup

    x y

    4

    2

    0

    2

    4

    4

    2

    0

    2

    4

    40. Look at the equation below.

    What value of x makes the equation truewhen ?

    F. 0

    G. 1

    H. 2

    J. 3

    a 0

    a x a( ) =39. Myra drew a figure with 5 faces,

    6 vertices, and 9 edges.

    Which figure has these properties?

    A.

    B.

    C.

    D.

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    M42. Eric recorded the number of doors and windows in each room of the Art Museum his

    class visited.

    Which of the following equations represents the relationship between d, the numberof doors, and w, the number of windows?

    F.

    G.

    H.

    J. w d= +3 1

    w d= 3 1

    w d= +2 1

    w d= 2 1

    Doors and Windows

    1

    2

    3

    4

    Number of Windows (w)

    3

    5

    7

    9

    Number of Doors (d)

    44. The is between which twonumbers?

    F. 4 and 5

    G. 9 and 10

    H. 10 and 11

    J. 20 and 21

    10543. Which shows 3.36 written as a mixednumber?

    A.

    B.

    C.

    D. 3 36

    3 925

    3 9100

    3 336

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    M45. The 7th grade class officers conducted a survey to help them decide what type of

    end-of-the-year party they should plan. The results of the survey are given in thefollowing circle graphs.

    Based on the information in the graphs above, should the class officers begin makingplans for a Western Bar-B-Q?

    A. Yes, because 68% of the students voted for it.

    B. Yes, because 65 students voted for it.

    C. No, because there was a tie between the Western Bar-B-Q and the Picnic in thePark.

    D. No, because the Picnic in the Park received the highest percentage of votes.

    75 Boys 125 Girls

    WesternBar-B-Q

    40%Day atthe Zoo

    20%

    HawaiianLuau16%

    Picnic inthe Park

    24%

    Picnic inthe Park

    40%

    WesternBar-B-Q

    28%Day atthe Zoo

    8%

    HawaiianLuau24%

    47. Hanna finds of 64.

    Which decimal is equivalent to ?

    A. 0.125

    B. 0.58

    C. 0.625

    D. 1.6

    58

    5846. Johnnas reading rate is 150 words per

    minute. She is reading a 364-page bookthat has about 275 words on each page.

    At this rate, which is closest to theamount of time Johnna should take toread the book?

    F. 10 hrs

    G. 11 hrs

    H. 12 hrs

    J. 13 hrs

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    M48. Lee constructed a circle graph from the

    data he collected in a survey, as shownbelow.

    Which section of Lees circle graphrepresents team games?

    F. I

    G. II

    H. III

    J. IV

    Which One is Your Favorite?

    I

    II

    III

    IV

    Which One is Your Favorite?

    Board

    Card

    Team

    Video

    3

    5

    7

    10

    Number of Students

    Type of Game

    49. Renee drew triangle A on a coordinategrid. Then she used one transformationof triangle A to create triangle B, asshown below.

    Which transformation did Renee use tocreate triangle B?

    A. Dilation

    B. Rotation

    C. Reflection

    D. Translation

    y

    x

    54321

    12345

    012345 1 2 3 4 5

    A

    B

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    M50. The graph below shows the yearly profit, in percent of total earnings, of Smith

    Engineering Company for five years.

    If the trend continues, what will be the profit, in percent, for the company in 2009?

    F. 24

    G. 26

    H. 30

    J. 36

    Smith Engineering Company Profitsfrom 19992007

    Year

    Pro

    fit

    (perce

    nt)

    24681012141618202224262830323436

    0 1999 2001 2003 2005 2007 2009

    y

    x

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    M51. Breanna has a bag that contained the letter tiles shown below.

    She will select one tile from the bag at random.

    What is the probability that she will select a tile with an A on it?

    A.

    B.

    C.

    D. 12

    25

    27

    15

    B R E A N N A

    52. You may use a ruler to help answer this question.

    Which measurement is closest to the average length, in centimeters, of the following 3 line segments?

    F. 1.75 centimeters

    G. 2.83 centimeters

    H. 3.25 centimeters

    J. 8.50 centimeters

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    M53. Trenton used the following pattern to construct a cylinder that is 10 centimeters tall.

    Which equation should Trenton use to find S, the surface area, in square centimeters, of the cylinder?

    A.

    B.

    C.

    D. S = +2 3 2 3 102i i i i i

    S = +3 10 32 i i

    S = 2 3 10i i i

    S = 3 102 i i

    10 cm

    3 cm

    3 cm

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    M54. Harry drew a right triangle on a grid. Some of the properties of his triangle are listed

    below.

    The length of the triangles hypotenuse is 10 units.

    The triangle has a leg that is 8 units.

    According to the information given, which of the following best represents thetriangle?

    F. H.

    G. J.

    Each represents 1 unitEach represents 1 unit

    Each represents 1 unitEach represents 1 unit

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    58. Faith bought yards of ribbon. She is

    going to cut the ribbon into smaller

    pieces that are each yard long.

    What is the maximum number of

    yard-long pieces of ribbon that can be

    cut from the original length of the

    ribbon?

    F.

    G. 8

    H.

    J. 26

    16 23

    2 89

    13

    13

    8 23

    57. Mr. Spencer planted 12 rows of daisieswith 8 plants in each row and 15 rows ofmarigolds with 14 plants in each row. Hewrote the expression tofind the total number of plants.

    What is the total number of plants?

    A. 306

    B. 620

    C. 1554

    D. 3864

    12 8 15 14 +

    56. Which verbal description represents thealgebraic expression below?

    6 c

    F. Six times a number c

    G. The sum of six and a number c

    H. The quotient of six and a number c

    J. The difference between six and anumber c

    55. Which equation is true for all the x- andy-values in the table?

    A.

    B.

    C.

    D. y x= +3 2

    y x= 3 2

    y x= +2 3

    y x= 2 3

    1

    1

    3

    5

    yx

    1

    2

    3

    4

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    M

    STOP

    BE SURE YOU HAVE MARKED ALL YOUR ANSWERS

    ON THE ANSWER DOCUMENT.

    60. Grace cut 3 pieces of ribbon that wereeach 2 feet 6 inches long.

    What was the total length of the 3pieces of ribbon?

    F. 6 feet 6 inches

    G. 6 feet 9 inches

    H. 7 feet 6 inches

    J. 7 feet 8 inches

    59. Laquesia drew the following design forthe front of a restaurant.

    Which statement describes how Laquesiashould change her design so that it has avertical line of symmetry?

    A. Draw another circle 4 feet below theroof and 2 feet to the right of thedoors.

    B. Draw another circle 2 feet below theroof and 4 feet to the right of thedoors.

    C. Draw another circle 2 feet below theroof and 4 feet above the doors.

    D. Draw another circle 4 feet below theroof and 2 feet above the doors.

    2 ft

    4 ft

    Laquesias Design

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  • GRADE

    77MATHEMATICSPRACTICE TEST

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