VIRGINI STNDRDS OF LERNING Spring 007 Released Test GRDE 7 MTHEMTIS Form M07, ORE Property of the Virginia Department of Education 007 by the ommonwealth of Virginia, Department of Education, P.O. ox 0, Richmond, Virginia 8-0. ll 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. ommonwealth of Virginia public school educators may reproduce any portion of these released tests for non-commercial educational purposes without requesting permission. ll others should direct their written requests to the Virginia Department of Education, Division of Student ssessment and School Improvement, at the above address or by e-mail to Student_ssessment@doe.virginia.gov.
ISD676
Grade 7 Mathematics Formula Sheet Geometric Formulas s b h s w h b = bh p = 4s = s l p = l + w = lw b = h(b + b ) r r h h l w V = lwh S..= lw + lh +wh bbreviations Pi 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 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 7 area perimeter circumference volume total surface area p V S.. year month hour minute second yr mon hr min sec opyright 006 by the ommonwealth of Virginia Department of Education
Mathematics Directions Read and solve each question. Then mark the space on your answer document for the best answer. SMPLE One hundred students were asked to name one favorite color. The chart shows the results. Favorite olors olor Number of Students lue 8 Red Purple Green lack 9 What percent of the students named blue? 8% 9% 50% D 57% 5
Harrison is buying a bicycle for $40. What amount of sales tax must he pay if the sales tax rate is 7%? $7.00 $.80 $4.60 D $8.00 Jack spent 0% of the money he earned mowing lawns last summer. If Jack spent $45, what was the total amount of money he earned mowing lawns last summer? F $5 G $75 H $50 J $95 6
Mike is making a scale model of his favorite car. The actual car is 8 feet long and 4 feet wide. Mike wants his model to be inches in length. Which could be used to find the width of his model if he uses the same ratio? 8 4 = x 8 = x 4 8 = x 4 D 8 4 = x 4 nita put $,000 in a savings account. The account earns an annual interest rate of.5%. How much interest will nita earn after her money has been in the account for one year? F $05 G $50 H $,050 J $,650 7
5 Joe knows a 5-pound turkey breast will feed 8 people. If 0 people are coming to Joe s home for dinner, at this rate how many pounds of turkey breast will he need? D 7.5 lbs.5 lbs 7 lbs lbs 6 dolphin is 0 feet below the surface of the water. She rises feet, sinks 7 feet, and finally rises another 7 feet. If there are no other changes, the dolphin is F G H J feet above the surface of the water feet below the surface of the water 6 feet above the surface of the water 6 feet below the surface of the water 7 Use the number line to complete the sentence. z y 0 The value of y z will be D negative because both y and z are negative positive because both y and z are negative negative because z is farther from 0 than y positive because y is closer to 0 than z 8
9 Do not turn the page until your teacher tells you to do so.
8 Which property is shown in the following number sentence? x + 9 0 x 9 4 + = 4 + F G H J Multiplicative identity property dditive identity property Multiplicative inverse property dditive inverse property 9 Which statement is false? 7 = 70 i = 0 7+ ( 7) = 0 D 7i = 7 0 Which number is equivalent to 0.7%? F 0.007 G 0.07 H 7 J 70 0
nne s utility bills for three months were $59, $67, and $. To add the utility bills mentally, nne thought What property did nne use? ( 59 + 67) + = 59 + ( 67 + ). D Inverse property of addition Identity property of addition ommutative property of addition ssociative property of addition 4 9 9 i = F 404 G 6 H 6 J 404
Which is correctly written in scientific notation? 56. 0 6 56 0 5 5,600,000 D 56 million 4 Which is true? F G H 0% = 00 50 = 006. 0 =, 000 00. J 60% = 50
5 Triangle MOE is similar to triangle SW. S M O E W Which must be true? MO OE = S SW MO ME = S W MEO SW D MEO SW ( ) 6 The ordered pair, 4is located in which quadrant of a coordinate plane? F G H J I II III IV
7 Which figure is a decagon? D 4
8 Which is a parallelogram with all congruent sides? F G H J Trapezoid Heptagon Rhombus Decagon 9 Look at the coordinate grid. y 5 4 L P - 5-4 - - - O 4 5 - x M - - - 4-5 N Which point is located in Quadrant II? D M P L N 5
0 Which is most likely not a rhombus? F G H J cylindrical-shaped water tank has a diameter of 4 feet and is feet tall. Which is closest to the volume of this tank? D 48 cubic feet 5 cubic feet 45 cubic feet 60 cubic feet 6
helsea wants to cover a rectangular prism-shaped box with paper. Which is closest to the minimum amount of paper helsea needs? 4 cm cm F G H 6 cm 54 cm 7 cm J 08 cm 6 cm 7
Pablo has a large, circular rug on his square-shaped bedroom floor. feet If the diameter of the rug is equal to the length of the bedroom floor, which is closest to the area of the rug? D 8 sq ft 75 sq ft sq ft 44 sq ft 8
4 cm 4 cm What is the minimum number of same-sized triangles as the one above that would be required to form the polygon below? cm cm 4 cm 4 cm F G 4 H 6 J 8 9
5 y 5 4 5 4 O 4 5 x 4 5 If the figure shown above is rotated 80º clockwise about the origin, which best represents the new figure? y 5 4 5 4 O 4 5 x 4 5 y 5 4-5 -4 - - - O - 4 5 - - -4-5 x y 5 4 5 4 O 4 5 x 4 5 D y 5 4-5 -4 - - - O - 4 5 - - -4-5 x 0
6 What is the area of the parallelogram shown? 0 ft 50 ft 40 ft 65 ft F G H J 85 sq ft 0 sq ft,600 sq ft,50 sq ft
7 Look at the table. amp Whitaker Sandwich hoices Type of read White Wheat Rye Type of Meat Turkey Ham Roast beef Pastrami Type of heese merican Swiss Provolone Which is equivalent to the total number of sandwich combinations of type of bread, type of meat, and type of cheese? + 4+ + 4 ( 4) + ( 4) D 4 8 The faces of a fair 6-sided cube are numbered through 6. What is the probability that a,, or 5 will land face-up on the next roll? F G H J 5 6
9 8, 4, 8,, 9, 4,, 8 Which measure has the greatest value for the data listed? D Mode Mean Range Median 0 heeseburgers Sold Last Week Day Sunday Monday Tuesday Wednesday Thursday Friday Saturday Number 59 4 8 44 46 87 9 What is the range of the data? F G 44 H 58 J 9
Part of the box-and-whisker plot Jim was creating is shown below. 5 0 5 0 5 ge (in years) What could be missing from Jim s plot? D Upper extreme Lower extreme Upper quartile Median 4
Mike has attempted 84 free throws. Of those attempted, 6 have gone in the basket. ased on this rate, what is the probability that Mike s next free throw attempt will go in the basket? F G H J 4 4 5
High Temperatures for Oakwood ity Day Mon. Tue. Wed. Thu. Fri. Sat. Sun. Temperature (ºF) 56 59 6 6 6 6 59 Which is closest to the mean (average) high temperature? 56 F 60 F 6 F D 6 F 4 Jesse has pairs of jeans, 4 sweaters, and pairs of shoes. How many different combinations of a pair of jeans, a sweater, and a pair of shoes does she have? F 8 G 9 H J 4 6
5 Which of the following is not a necessary calculation for constructing a boxand-whisker plot? D Lower extreme Median Mean Upper quartile 6 Freddie has colors of construction paper. He will cut 5 different shapes from each color of construction paper to make a collage. Which is equivalent to the total number of shapes Freddie will cut? F G H 5i 5+ 5i5i5 J iiii 7
7 eth s ag of Same-Sized alloons olor Red Green lue Yellow Number 0 0 eth will reach into the bag and randomly choose balloon. What is the probability she will choose a green balloon? 5 5 D 8
8 ustom Skateboard Options Design Wavy lines Geometric shapes Solid color ackground olor Red lack lue Gray Which tree diagram shows all the possible combinations of custom skateboards with design and background color? F Wavy lines Geometric shapes Solid color Red lack lue Red lack lue Red lack lue G Wavy lines Geometric shapes Red lack lue Gray Red lack lue Gray H Wavy lines Geometric shapes Solid color Red lack lue Gray Red lack lue Gray Red lack lue Gray J Wavy lines Geometric shapes Solid color old lettering Red lue Gray Red lue Gray Red lue Gray Red lue Gray 9
9 What is the value of x for which the following is true? 4 4 0 D 70 0x = 40 40 Which is a value for r that makes the following true? F G H 7 J 7 + r > 4 4 Which is a value for h that makes the following true? 7 7 5 D 5 4h 4 0
4 Which best describes the following? x + 5x + F G H J onstant Expression Equation Inequality 4 Tasha read 00 pages in her book this week. This was 50 more pages than she read last week. How many pages did she read last week? 4 40 50 D 50
44 x.5 0 y 0 9 Which is true for all values in the table above? F G H y = x + y = x y = x + J y = x + 45 Which best represents the number sentence shown? x 7= 8 D Seven less than a number is eight. The quotient of x and 7 is eight. Seven take away a number is eight. number subtracted from seven is eight.
46 If z stands for the number, which best represents the sentence below? Forty less than thirty is a number. F G H 40 0 =z 0 40 =z 40 z < 0 J z 0 < 40 47 4x + 4 Which should be placed on the blank line above to make an inequality? = > D
48 If n stands for the number, which best represents the following phrase? The sum of a number and five divided by fifteen F n + 5 5 G H J 5 5 n + 5 ( n + 5) ( n + 5) 5 49 Ginni wrote the following geometric sequence in her notebook., 9, 7, 8, 4, 79,... What would be the 8th term in Ginni s sequence?,458,87 5,8 D 6,56 4
50 Which table contains only values that make the following true? y = x + 7 F x 0 y 7 9 G x 5 y 9 6 0 H x y 7 4 J x 0 y 0 5
nswer Key-7074-M07 Test Sequence Number orrect nswer Reporting ategory Reporting ategory Description 00 omputation and Estimation H 00 omputation and Estimation 00 omputation and Estimation 4 F 00 omputation and Estimation 5 00 omputation and Estimation 6 F 00 omputation and Estimation 7 00 omputation and Estimation 8 G 00 Number and Number Sense 9 00 Number and Number Sense 0 F 00 Number and Number Sense D 00 Number and Number Sense J 00 Number and Number Sense 00 Number and Number Sense 4 G 00 Number and Number Sense 5 00 Measurement and Geometry 6 G 00 Measurement and Geometry 7 D 00 Measurement and Geometry 8 H 00 Measurement and Geometry 9 00 Measurement and Geometry 0 J 00 Measurement and Geometry 00 Measurement and Geometry J 00 Measurement and Geometry 00 Measurement and Geometry 4 G 00 Measurement and Geometry 5 00 Measurement and Geometry 6 H 00 Measurement and Geometry 7 D 004 Probability and Statistics 8 F 004 Probability and Statistics 9 D 004 Probability and Statistics 0 H 004 Probability and Statistics D 004 Probability and Statistics J 004 Probability and Statistics 004 Probability and Statistics 4 J 004 Probability and Statistics 5 004 Probability and Statistics 6 F 004 Probability and Statistics 7 004 Probability and Statistics 8 H 004 Probability and Statistics 9 005 Patterns, Functions, and lgebra 40 J 005 Patterns, Functions, and lgebra 4 005 Patterns, Functions, and lgebra 4 G 005 Patterns, Functions, and lgebra 4 005 Patterns, Functions, and lgebra 44 J 005 Patterns, Functions, and lgebra 45 005 Patterns, Functions, and lgebra 46 G 005 Patterns, Functions, and lgebra 47 005 Patterns, Functions, and lgebra 48 J 005 Patterns, Functions, and lgebra 49 D 005 Patterns, Functions, and lgebra 50 F 005 Patterns, Functions, and lgebra
Grade 7 Math, ore If you get this many items correct: Then your converted scale score is: 0 000 006 064 099 4 5 5 46 6 64 7 79 8 9 9 05 0 7 7 8 47 4 56 5 65 6 74 7 8 8 90 9 98 0 05 0 8 4 5 5 4 6 50 7 57 8 64 9 7 0 79 87 94 40 4 40 5 48 6 47 7 46 8 445 9 455 40 465 4 476 4 488 4 50 44 56 45 5 46 55 47 579 48 600 49 600 50 600