GRADE 7 MATHEMATICS. Form M0117, CORE 1 VIRGINIA STANDARDS OF LEARNING. Spring 2007 Released Test. Property of the Virginia Department of Education

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1 VIRINI STNDRDS O LERNIN Spring 007 Released Test RDE 7 MTEMTIS orm 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 to Student_ssessment@doe.virginia.gov.

2 arrison 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? $5 $75 $50 J $95 6

3 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%. ow much interest will nita earn after her money has been in the account for one year? $05 $50 $,050 J $,650 7

4 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 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

5 8 Which property is shown in the following number sentence? x x = 4 + 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%? J 70 0

6 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 + ). D Inverse property of addition Identity property of addition ommutative property of addition ssociative property of addition i = J 404

7 Which is correctly written in scientific notation? ,600,000 D 56 million 4 Which is true? 0% = = =, J 60% = 50

8 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? J I II III IV

9 7 Which figure is a decagon? D 4

10 8 Which is a parallelogram with all congruent sides? J Trapezoid eptagon Rhombus Decagon 9 Look at the coordinate grid. y 5 4 L P O x M N Which point is located in Quadrant II? D M P L N 5

11 0 Which is most likely not a rhombus? 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

12 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 6 cm 54 cm 7 cm J 08 cm 6 cm 7

13 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

14 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 4 6 J 8 9

15 5 y 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 O 4 5 x 4 5 y O x y O 4 5 x 4 5 D y O x 0

16 6 What is the area of the parallelogram shown? 0 ft 50 ft 40 ft 65 ft J 85 sq ft 0 sq ft,600 sq ft,50 sq ft

17 7 Look at the table. amp Whitaker Sandwich hoices Type of read White Wheat Rye Type of Meat Turkey am 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) 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? J 5 6

18 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 riday Saturday Number What is the range of the data? J 9

19 Part of the box-and-whisker plot Jim was creating is shown below ge (in years) What could be missing from Jim s plot? D Upper extreme Lower extreme Upper quartile Median 4

20 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? J 4 4 5

21 igh Temperatures for Oakwood ity Day Mon. Tue. Wed. Thu. ri. Sat. Sun. Temperature (º) Which is closest to the mean (average) high temperature? D 6 4 Jesse has pairs of jeans, 4 sweaters, and pairs of shoes. ow many different combinations of a pair of jeans, a sweater, and a pair of shoes does she have? 8 9 J 4 6

22 5 Which of the following is not a necessary calculation for constructing a boxand-whisker plot? D Lower extreme Median Mean Upper quartile 6 reddie has colors of construction paper. e will cut 5 different shapes from each color of construction paper to make a collage. Which is equivalent to the total number of shapes reddie will cut? 5i 5+ 5i5i5 J iiii 7

23 7 eth s ag of Same-Sized alloons olor Red reen 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

24 8 ustom Skateboard Options Design Wavy lines eometric shapes Solid color ackground olor Red lack lue ray Which tree diagram shows all the possible combinations of custom skateboards with design and background color? Wavy lines eometric shapes Solid color Red lack lue Red lack lue Red lack lue Wavy lines eometric shapes Red lack lue ray Red lack lue ray Wavy lines eometric shapes Solid color Red lack lue ray Red lack lue ray Red lack lue ray J Wavy lines eometric shapes Solid color old lettering Red lue ray Red lue ray Red lue ray Red lue ray 9

25 9 What is the value of x for which the following is true? D 70 0x = Which is a value for r that makes the following true? 7 J 7 + r > 4 4 Which is a value for h that makes the following true? D 5 4h 4 0

26 4 Which best describes the following? x + 5x + 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. ow many pages did she read last week? D 50

27 44 x.5 0 y 0 9 Which is true for all values in the table above? 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.

28 46 If z stands for the number, which best represents the sentence below? orty less than thirty is a number =z 0 40 =z 40 z < 0 J z 0 < x + 4 Which should be placed on the blank line above to make an inequality? = > D

29 48 If n stands for the number, which best represents the following phrase? The sum of a number and five divided by fifteen n J 5 5 n + 5 ( n + 5) ( n + 5) 5 49 inni wrote the following geometric sequence in her notebook., 9, 7, 8, 4, 79,... What would be the 8th term in inni s sequence?,458,87 5,8 D 6,56 4

30 50 Which table contains only values that make the following true? y = x + 7 x 0 y 7 9 x 5 y x y 7 4 J x 0 y 0 5

31 nswer Key-7074-M07 Test Sequence Number orrect nswer Reporting ategory Reporting ategory Description 00 omputation and Estimation 00 omputation and Estimation 00 omputation and Estimation 4 00 omputation and Estimation 5 00 omputation and Estimation 6 00 omputation and Estimation 7 00 omputation and Estimation 8 00 Number and Number Sense 9 00 Number and Number Sense 0 00 Number and Number Sense D 00 Number and Number Sense J 00 Number and Number Sense 00 Number and Number Sense 4 00 Number and Number Sense 5 00 Measurement and eometry 6 00 Measurement and eometry 7 D 00 Measurement and eometry 8 00 Measurement and eometry 9 00 Measurement and eometry 0 J 00 Measurement and eometry 00 Measurement and eometry J 00 Measurement and eometry 00 Measurement and eometry 4 00 Measurement and eometry 5 00 Measurement and eometry 6 00 Measurement and eometry 7 D 004 Probability and Statistics Probability and Statistics 9 D 004 Probability and Statistics Probability and Statistics D 004 Probability and Statistics J 004 Probability and Statistics 004 Probability and Statistics 4 J 004 Probability and Statistics Probability and Statistics Probability and Statistics Probability and Statistics Probability and Statistics Patterns, unctions, and lgebra 40 J 005 Patterns, unctions, and lgebra Patterns, unctions, and lgebra Patterns, unctions, and lgebra Patterns, unctions, and lgebra 44 J 005 Patterns, unctions, and lgebra Patterns, unctions, and lgebra Patterns, unctions, and lgebra Patterns, unctions, and lgebra 48 J 005 Patterns, unctions, and lgebra 49 D 005 Patterns, unctions, and lgebra Patterns, unctions, and lgebra

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