GRADE 8 MATHEMATICS. Form M0119, CORE 1 VIRGINIA STANDARDS OF LEARNING. Spring 2009 Released Test. Property of the Virginia Department of Education
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1 VIRGINIA STANDARDS OF LEARNING Spring 009 Released Test GRADE 8 MATHEMATICS Form M09, CORE Propert of the Virginia Department of Education 009 b the Commonwealth of Virginia, Department of Education, P.O. o 0, Richmond, Virginia 8-0. All rights reserved. Ecept as permitted b law, this material ma not be reproduced or used in an form or b an means, electronic or mechanical, including photocoping or recording, or b an information storage or retrieval sstem, without written permission from the copright owner. Commonwealth of Virginia public school educators ma reproduce an 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 b to Student_Assessment@doe.virginia.gov.
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3 Grade 8 Mathematics Formula Sheet h b A = bh s p = s A = s s h Geometric Formulas b b A = bh b b h A = h(b + b ) h l w V = r h V = lwh S.A.= rl + r S.A.= lw + lh + wh V = r h S.A.= rh + r r h h h V = h S.A.= lp + r l l w r a c l p = l + w A = lw C = r A = r b c = a + b milligram mg gram g kilogram kg milliliter ml liter L kiloliter kl millimeter mm centimeter cm meter m kilometer km square centimeter cm cubic centimeter cm Abbreviations ounce pound quart gallon inch foot ard mile square inch square foot cubic inch cubic foot oz lb qt gal. in. ft d mi. sq in. sq ft cu in. cu ft Pi. volume total surface area area of base V S.A. ear month hour minute second r mon hr min sec
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5 Mathematics Directions Read each question and choose the best answer. SAMPLE Vicki had $8. She spends $ on a gift. How much did she have left? A $ $9 C $8 D $
6 According to the order of operations, which operation should be performed first to simplif the epression? + i A C + i D 8. 0 = F,800,000 G 8,000 H J Which of the following does not contain the number? A C D Integers Whole numbers Natural numbers Irrational numbers
7 Which value is equivalent to F G H 0 J 0? What is 0,000,000 epressed in scientific notation? A C D 0. 0 Which of the following is not a rational number? F 0. G 0 H J
8 Which statement is true? A C 009. > 8 8 % < 009. < D > % 8 etween which two whole numbers is? F and G and H and J and 9 What is the value of the following when v =? ( v 0) A C D
9 0 The school had a fundraiser. Students collected mone at three locations. The spent $.80 on materials. How much mone did the make in the fundraiser after subtracting the cost of materials? F $8.0 G $8.80 H $0.0 J $9.0 Mone Raised at School Fundraiser Location Location Location $8.9 $9.0 $. What is the value of ( ) when =? A C 0 D Which of the following numbers is a perfect square? F G 8 H J
10 What is the value of the epression ( a+ b) ( b+ c) if a=, b=,and c=? A 0 8 C D 0 The running shoes Gina bought at a 0%-off sale were originall priced at $0. efore ta was added, how much mone did Gina save b buing the shoes on sale? F $ G $0 H $ J $0 8
11 O Which of the following shows the figure after it has been reflected over the horizontal ais? A O O C O D O
12 If CE intersects DF at X, which angle must be congruent to CXD? C D F X E F G H J CXF DXE FXD FXE What is the volume of a square-based pramid with base side lengths of meters, a slant height of meters, and a height of meters? A,80 m,0 m C,0 m D,00 m 0
13 8 What is the value of m in the right triangle shown?. m F. G.0 H. J 0. 9 What is the surface area of the rectangular prism shown? cm cm 8 cm A 0 cm 9 cm C 0 cm D 8 cm
14 0 A figure has the bottom and left-side views shown, and its front view is shaded. Which represents the figure? ottom View Left-side View F G H J
15 In this figure, two ras intersect AD at point X. The measure of AX is. The figure is not necessaril drawn to scale. C A X D What is the measure of XD? A 8 90 C D 8
16 Which graph shows onl a translation? F O G O H O J O
17 Three different views of a three-dimensional figure constructed from cubes are shown. Front Right Side Top Which figure could be represented b these views? A C D
18 The legs of a right triangle measure 9 inches and inches. What is the length of the hpotenuse of this triangle? F G H J in. 8 in. in. in. Z A P Which correctl names the hpotenuse of the triangle pictured? A C D PZA APZ PZ AP
19 In which figure is line L most likel a line of reflection? L F G L L H L J
20 Jill is plaing a game with a spinner like the one pictured below. Yellow Yellow Red Red Green lue lue Green lue lue Yellow Green Red Red Green Yellow If the sections are congruent, what is the probabilit that on Jill s net spin the arrow will land on a section labeled red? A C D 8
21 8 The bo-and-whisker plot shows the ages of emploees at a local compan. Emploee Ages Years 80 What is the apparent upper quartile of this plot? F G H J 8 9 Which element is located at row, column? 8 9 A C 8 D 9 9
22 0 This graph shows the number of students on the honor roll at three schools. Students on the Honor Roll School A Number of Students C Ke: = 0 students What is the total number of students on the honor roll at these three schools? F G 0 H J 00 In Happ Hills Pond, out of fish are goldfish. If 0 fish were randoml chosen from the pond, which is most likel the number of goldfish chosen? A 8 C D 0
23 The matri shows the number of male and female students in each of the classes at radle High School. Freshman Sophomore Junior Senior Male Female According to the matri, how man male sophomores are there? F G 0 H 9 J,0
24 The table shows all of the possible outcomes when Juan tosses a penn, a nickel, and a quarter at the same time. Penn Nickel Quarter Heads Heads Heads Heads Tails Tails Tails Tails Heads Heads Tails Tails Heads Heads Tails Tails Heads Tails Heads Tails Heads Tails Heads Tails What is the probabilit that Juan s result will be tails on his first toss? A C 8 D
25 Manuel surveed 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 Football % Hocke % aseball 0% asketball 0% Soccer 0% F 0% G % H % J %
26 In which table do all the ordered pairs make the following equation true? + = A 0 0 C 9 9 D 9 9
27 Which rule represents the relation shown in the table? 9 F = G = + H = J = + Jenna uses beads to make bracelets. How man of the same tpe of bracelet can Jenna make with 08 beads? A C D 9
28 8 The following set of ordered pairs of the form (, ) lie on the graph of a function of. Which equation describes the function? F = + G = H = + J = {( 0, ), (, ), (, ), (, 8) }
29 9 The table shows the number of hours it takes to mow a certain number of lawns. Time (hours) 8 0 Number of Lawns Mowed Which graph best represents the relationship shown in the table? A C D Number of Lawns Mowed Number of Lawns Mowed Number of Lawns Mowed Number of Lawns Mowed Mowing Lawns Time (Hours) Mowing Lawns Time (Hours) Mowing Lawns Time (Hours) Mowing Lawns Time (Hours)
30 0 What value of n makes the equation true? n + = 0 F G 9 H J The formula for converting temperatures from Celsius to Fahrenheit is 9 F = C+. Which temperature, in degrees Fahrenheit, is closest to 0 C? A C D 0. F. F 0.0 F. F 8
31 What is the domain of this relation? F G H {, } {, 0,, } {,,, } {,, 0,,, } J {(, ), (, ), (, ), (, 0) } What is the value of in the following equation? A C D + = 9
32 - 0-0 Which graph best represents the line defined b the table of ordered pairs? F O G O H O J O 0
33 The values for a function of are in the table What is the range of the function? A C {,,, } {.,., 8., 0. } {(,. ), (,. ), (, 8. ), (, 0. ) } D {,,,,.,., 8., 0. }
34 Which graph contains the ordered pairs in the table? 0 0 F G H J O O O O
35 A function of is defined b the following equation. What is the independent variable? A C D = + 8 The profit, P, a school makes selling tickets to a pla can be determined b the formula P = If the school made a profit of $00 on the pla, how man tickets were sold? F 00 G 0 H 00 J 0
36 9 What value of w makes the following true? A C D w = 0 To graph the equation =, Renita created the following table of values. 0 0? Which -value corresponds to? F G H J 8
37 Answer Ke-80-M09 Test Sequence Number Correct Answer Reporting Categor Reporting Categor Description D 00 Number and Number Sense G 00 Number and Number Sense D 00 Number and Number Sense F 00 Number and Number Sense 00 Number and Number Sense J 00 Number and Number Sense 00 Number and Number Sense 8 J 00 Computation and Estimation 9 A 00 Computation and Estimation 0 G 00 Computation and Estimation 00 Computation and Estimation F 00 Computation and Estimation A 00 Computation and Estimation H 00 Computation and Estimation 00 Measurement and Geometr J 00 Measurement and Geometr A 00 Measurement and Geometr 8 H 00 Measurement and Geometr 9 D 00 Measurement and Geometr 0 F 00 Measurement and Geometr D 00 Measurement and Geometr J 00 Measurement and Geometr C 00 Measurement and Geometr H 00 Measurement and Geometr D 00 Measurement and Geometr J 00 Measurement and Geometr 00 Probabilit and Statistics 8 H 00 Probabilit and Statistics 9 00 Probabilit and Statistics 0 H 00 Probabilit and Statistics 00 Probabilit and Statistics H 00 Probabilit and Statistics A 00 Probabilit and Statistics H 00 Probabilit and Statistics A 00 Patterns, Functions, and Algebra H 00 Patterns, Functions, and Algebra A 00 Patterns, Functions, and Algebra 8 J 00 Patterns, Functions, and Algebra 9 D 00 Patterns, Functions, and Algebra 0 G 00 Patterns, Functions, and Algebra C 00 Patterns, Functions, and Algebra H 00 Patterns, Functions, and Algebra D 00 Patterns, Functions, and Algebra F 00 Patterns, Functions, and Algebra 00 Patterns, Functions, and Algebra F 00 Patterns, Functions, and Algebra A 00 Patterns, Functions, and Algebra 8 H 00 Patterns, Functions, and Algebra 9 D 00 Patterns, Functions, and Algebra 0 G 00 Patterns, Functions, and Algebra
38 Grade 8 Math, Core If ou get this man items correct: Then our converted scale score is:
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