VIRGINIA STANDARDS OF LEARNING Spring 2009 Released Test GRADE MATHEMATICS Form M0119, CORE Property of the Virginia Department of Education ©2009 by the Commonwealth of Virginia, Department of Education, P.O Box 2120, Richmond, Virginia 23218-2120 All rights reserved Except as permitted by law, this material may not be reproduced or used in any form or by any means, electronic or mechanical, including photocopying or recording, or by any information storage or retrieval system, without written permission from the copyright owner Commonwealth of Virginia public school educators may reproduce any portion of these released tests for non-commercial educational purposes without requesting permission All others should direct their written requests to the Virginia Department of Education, Division of Student Assessment and School Improvement, at the above address or by e-mail to Student_Assessment@doe.virginia.gov Grade Mathematics Formula Sheet Geometric Formulas b h l h h h A= b b bh A = bh s l w V = lwh S.A.= 2lw + 2lh + 2wh b1 s b2 A= h(b1 + b2 ) w V = 13 r2h S.A.= rl + r2 r h h h p = 4s A = s2 r B V = r2h S.A.= 2rh + 2r2 V = 13 Bh S.A.= 12 lp + B c a r b l c2 C = 2r A = r2 p = 2l + 2w A = lw l Abbreviations = a2 + b2 Pi milligram gram kilogram milliliter liter kiloliter millimeter centimeter meter kilometer square centimeter cubic centimeter mg g kg mL L kL mm cm m km cm2 cm3 ounce pound quart gallon inch foot yard mile square inch square foot cubic inch cubic foot oz lb qt gal in ft yd mi sq in sq ft cu in cu ft volume total surface area area of base V S.A B year month hour minute second yr mon hr sec Ϸ 3.14 Ϸ 227 Mathematics Directions Read each question and choose the best answer SAMPLE Vicki had $228 She spends $37 on a gift How much did she have left? A B C D $211 $191 $181 $164 According to the order of operations, which operation should be performed first to simplify the expression? 12 + i −1 A 12 + B −1 C 2i5 D 52 5.78 ×105 = F G H J 57,800,000 578,000 0.0000578 0.00000578 Which of the following does not contain the number 24 ? A B C D Integers Whole numbers Natural numbers Irrational numbers 4 Which value is equivalent to 22 − 23 ? F G H J What is 102,000,000 expressed in scientific notation? A B C D 14 16 20 30 1.02 ×109 1.02 ×108 1.02 ×107 1.02 ×106 Which of the following is not a rational number? F G H J − 0.75 15 Which statement is true? 0.09 > B 6% < 0.09 C − < 8.0 ×10 D 8.0 ×10 −3 > 6% Between which two whole numbers is F G H J A 33 ? 32 and 34 16 and 17 and and What is the value of the following when v = ? 5(v − 10) − A B C D − − 47 7 47 10 The school had a fundraiser Students collected money at three locations They spent $17.80 on materials Money Raised at School Fundraiser Location Location $87.95 $49.40 Location $64.25 How much money did they make in the fundraiser after subtracting the cost of materials? F G H J 11 What is the value of 3(x2 − x) when x = ? A B C D 12 $148.20 $183.80 $201.60 $219.40 15 30 55 Which of the following numbers is a perfect square? F G H J 36 28 22 14 13 What is the value of the expression 5(a + b) − 3(b + c) if a = , b = 3, and c = ? A B C D 14 20 18 14 10 The running shoes Gina bought at a 20%-off sale were originally priced at $70 Before tax was added, how much money did Gina save by buying the shoes on sale? F G H J $7 $10 $14 $20 34 Manuel surveyed his class to determine each student’s favorite sport According to the circle graph, what percent of Manuel’s classmates selected football or baseball as their favorite sport? Favorite Sports Baseball 20% Football 25% Soccer 10% Hockey 15% F G H J Basketball 30% 20% 25% 45% 55% 23 35 In which table all the ordered pairs make the following equation true? x + y = 15 A B C D x y x y 3 x y –3 –6 –9 x y –3 –6 –9 24 36 Which rule represents the relation shown in the table? F G H J 37 x y 3 5 y = x −1 y = x +3 y = 2x − y = 2x + Jenna uses 36 beads to make bracelets How many of the same type of bracelet can Jenna make with 108 beads? A B C D 12 27 432 972 25 38 The following set of ordered pairs of the form (x , y) lie on the graph of a function of x { (0 , −1), (1, 2), (2, 5), (3, 8) } Which equation describes the function? F G H J y = 2x + y = x −1 y = x +5 y = 3x −1 26 The table shows the number of hours it takes to mow a certain number of lawns Time (hours) Number of Lawns Mowed 10 A Number of Lawns Mowed Which graph best represents the relationship shown in the table? Mowing Lawns 10 1 10 B Number of Lawns Mowed Time (Hours) Mowing Lawns 10 1 10 C Number of Lawns Mowed Time (Hours) Mowing Lawns 10 1 10 Time (Hours) D Number of Lawns Mowed 39 Mowing Lawns 10 1 10 Time (Hours) 27 40 What value of n makes the equation true? n + = 10 41 F 14 G H J 3 The formula for converting temperatures from Celsius to Fahrenheit is F = C + 32 Which temperature, in degrees Fahrenheit, is closest to 60°C? A B C D 50.4°F 65.3°F 140.0°F 165.6°F 28 42 What is the domain of this relation? { (1, − 4), 43 F { 1, } G { − 4, 0, 1, } H { −1, 1, 3, } J { − 4, − (3, 6), (−1, 1), (6, 0) } 1, 0, 1, 3, } What is the value of x in the following equation? − A B C D x + = −14 − − 3 29 44 x y -2 -1 Which graph best represents the line defined by the table of ordered pairs? y F – – – O – 1 x x x x – – y G – – – O – – – y H – – – O – – – y J – – – O – – – 30 45 The values for a function of x are in the table x y 3.14 12.56 28.26 50.24 What is the range of the function? A { 1, 2, 3, } B { 3.14, 12.56, 28.26, 50.24 } C { (1, 3.14), (2, 12.56), (3, 28.26), (4, 50.24) } D { 1, 2, 3, 4, 3.14, 12.56, 28.26, 50.24 } 31 46 Which graph contains the ordered pairs in the table? x y –2 0 –1 –3 y F -7 -6 -5 -4 -3 -2 -1 O -1 -2 x x x x -3 -4 -5 -6 -7 y G -7 -6 -5 -4 -3 -2 -1 O -1 -2 -3 -4 -5 -6 -7 y H -7 -6 -5 -4 -3 -2 -1 O -1 -2 -3 -4 -5 -6 -7 y J -7 -6 -5 -4 -3 -2 -1 O -1 -2 -3 -4 -5 -6 -7 32 47 A function of x is defined by the following equation y = x + 12 What is the independent variable? A B C D 48 x y 12 The profit, P, a school makes selling x tickets to a play can be determined by the formula P = x − 400 If the school made a profit of $1200 on the play, how many tickets were sold? F G H J 100 150 200 250 33 49 What value of w makes the following true? 3w − = A B C D 50 − − To graph the equation y = x − 7, Renita created the following table of values x y –1 –10 –7 ? Which y-value corresponds to ? F G H J − 14 21 28 34 Answer Key-8075-M0119 Test Sequence Number 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 Correct Answer D G D F B J B J A G B F A H B J A H D F D J C H D J B H B H B H A H A H A J D G C H D F B F A H D G Reporting Category 001 001 001 001 001 001 001 002 002 002 002 002 002 002 003 003 003 003 003 003 003 003 003 003 003 003 004 004 004 004 004 004 004 004 005 005 005 005 005 005 005 005 005 005 005 005 005 005 005 005 Reporting Category Description Number and Number Sense Number and Number Sense Number and Number Sense Number and Number Sense Number and Number Sense Number and Number Sense Number and Number Sense Computation and Estimation Computation and Estimation Computation and Estimation Computation and Estimation Computation and Estimation Computation and Estimation Computation and Estimation Measurement and Geometry Measurement and Geometry Measurement and Geometry Measurement and Geometry Measurement and Geometry Measurement and Geometry Measurement and Geometry Measurement and Geometry Measurement and Geometry Measurement and Geometry Measurement and Geometry Measurement and Geometry Probability and Statistics Probability and Statistics Probability and Statistics Probability and Statistics Probability and Statistics Probability and Statistics Probability and Statistics Probability and Statistics Patterns, Functions, and Algebra Patterns, Functions, and Algebra Patterns, Functions, and Algebra Patterns, Functions, and Algebra Patterns, Functions, and Algebra Patterns, Functions, and Algebra Patterns, Functions, and Algebra Patterns, Functions, and Algebra Patterns, Functions, and Algebra Patterns, Functions, and Algebra Patterns, Functions, and Algebra Patterns, Functions, and Algebra Patterns, Functions, and Algebra Patterns, Functions, and Algebra Patterns, Functions, and Algebra Patterns, Functions, and Algebra Grade Math, Core If you get this many items correct: 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 Then your converted scale score is: 000 001 059 94 120 141 158 173 187 199 211 221 231 241 250 259 268 276 284 292 300 307 315 322 330 337 345 352 360 368 375 383 391 399 408 417 426 435 445 455 466 478 491 505 520 538 560 586 600 600 600