GRADE 7 MATHEMATICS. Form M0118, CORE 1 VIRGINIA STANDARDS OF LEARNING. Spring 2008 Released Test. Property of the Virginia Department of Education

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1 VIRINI STNDRDS O LERNIN Spring 008 Released Test RDE 7 MTHEMTIS orm M0118, ORE 1 Property of the Virginia Department of Education 008 by the ommonwealth of Virginia, Department of Education, P.O. ox 10, Richmond, Virginia 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 1 Ralph s map of Virginia each uses a scale of 1 inch for every 7 miles. Ralph runs a distance of 1. miles from his house in Virginia each every weekend. Which is closest to the number of inches needed to represent this distance on Ralph s map? D 7. inches 7.0 inches 6. inches 1.9 inches Max surveyed students on his website and asked each to select 1 favorite after-school activity. The percents of the total number of students who responded for each activity are shown in the table. Max s Survey Results ctivity Watching movies Roller skating Listening to music Shopping asketball Reading Playing games Percent If 16 students selected watching movies, how many total students responded to Max s survey? H 700 J,68 6

3 5 jug of drinking water contained 1 1 gallons. fter one day, gallon had 8 been used. How much water was left in the jug? gallon gallon 1 gallons D 1 1 gallons 8 4 Kevin mixes paint using 8 ounces of yellow paint for every ounces of white paint. t this rate, how many ounces of white paint would be mixed with 4 ounces of yellow paint? 8 9 H 19 J 64 5 Lynne loaned $480 to a friend. The friend paid back the amount borrowed plus 10% interest. What was the total amount the friend paid to Lynne? $ $ $ D $

4 6 Eli can type 1 page in 10 minutes. How many total pages can he type in one hour? 1 6 H 10 J 60 7 The change in the number of students enrolled at a school over six months is shown in the following table. School Enrollment Month October November December January ebruary March hange The number of students enrolled at the end of September was 4,7. What was the number of students enrolled in the school at the end of March? 4,75 4,00 4,5 D 4,5 8 Do not turn the page until you are told.

5 8 Which set is ordered greatest to least? H { } 1 16 %, ,.,. { } 16%, , 1, { } , 16 %, ,. { } J , ,., % 9 Which property is used in the following number sentence? 4 ( + n) = ( 4i) + ( 4in) D Distributive property dditive inverse property ssociative property of addition ommutative property of addition 9

6 10 Which of the following is another way of expressing out of 8?.5% 5% H.5 J 5 11 Which list is in order from least to greatest? , 40%,,, , 5 40 %, 8,, ,,, 40%, D 078., , 5 8, %,. 1 1 The fraction is equivalent to % 0.15% H 1.5% J 15% 10

7 1 Which of the following equations illustrates the multiplicative property of zero? 10 i 0 = ( 10) = 0 10( 15 i0) = 10( 0 i15) D 10( 8 + 0) = 10 i i0 14 Which is false? H 5 ( 0 + 7) = ( 5 0) + ( 5 7) ( ) 78 = ( 45 78) 5i( 5+ 4) = ( 5i 5) + ( 5i4) J = Which ordered pair describes a point with a location in the second quadrant on a coordinate grid? ( 6, 5) ( 6, 5) ( 6, 5) D ( 6, 5) 11

8 16 Which pair of triangles is most likely similar? and 4 and 5 H and 5 J 4 and 17 Travis is making a wall hanging out of different colors of glass. The shape of the wall hanging is shown on the grid below. = 1 unit Which is closest to the total amount of glass needed to make the wall hanging? D 8 square units 4 square units 6 square units 40 square units 1

9 18 Translate the figure vertically 6 positive units. y O x V Which best describes the location of the image of vertex V? H ( 5, 8) (5, 4) ( 1, ) J ( 11, ) 1

10 19 Which of the following is a pentagon? D 14

11 0 7 6 y O x Which is most likely the type of transformation that takes place from igure 1 to igure on the coordinate grid above? H J Rotation about the origin Dilation Translation Reflection across the y-axis 1 The following is true about similar triangles and DE. DE = E = D = 1 Which could be the lengths of = 6 and E = = 9 and E = = and E = 6 D = and E = 9 and E? 15

12 Trevor covered a cylindrical can with paper for a project. The can is 18 centimeters tall and has a 5-centimeter radius. Which is closest to the minimum amount of paper Trevor needed to cover the entire can? H 8 cm 644 cm 7 cm J 1, 41 cm Which of the following quadrilaterals has exactly one pair of parallel sides? D Rhombus Trapezoid Rectangle Parallelogram 4 What type of polygon is this? H J Pentagon Heptagon Hexagon Decagon 16

13 5 powdered drink mix is stored in a cylindrical container that has a radius of 6 centimeters and a height of 14 centimeters. Which is closest to the maximum number of cubic centimeters the container will hold? 16 cm 96 cm 504 cm D 1, 58 cm 6 ob wants to paint a rectangular wall that measures 16 feet by 9 feet. The wall contains a window with the dimensions shown. 16 ft 8 ft 9 ft 5 ft If ob does not paint the window, what is the total shaded area he will paint? H J 144 sq ft 104 sq ft 50 sq ft 40 sq ft 17

14 7 Peter picks one bill at a time from a bag and replaces it. He repeats this process 100 times and records the results in the table. Peter s Experiment Value $1 $5 $10 $0 requency ased on the table, which bill has an experimental probability of drawn from the bag next? $1 $5 $10 D $0 7 5 for being 18

15 8 The 9 students in Mr. Smith s P. E. class measured their arm spans and heights. The scatterplot shows the results. Height (inches) Height vs. rm Span rm Span (inches) Which data table was most likely used to make the scatterplot? rm Span (inches) rm Span (inches) Height (inches) Height (inches) H rm Span (inches) Height (inches) J rm Span (inches) Height (inches)

16 9 Look at the table. Kites Sold for School undraiser Year Number Sold What is the median number of kites sold per year? D 40 0 t Van s Video Store, 0% of the children s movies are animated. If a customer randomly chooses one children s movie, what is the probability that the movie he chooses will be animated? H J

17 1 Tim wants his mean (average) quiz score in history class to be 90. His first quiz scores were 86, 9, and 94. What score should he make on the 4th quiz in order to have a mean (average) quiz score of exactly 90? D 95 Three families are playing a board game and need to form teams of players with 1 player from each family. amily Members uevara amily Mariah Stephen Joseph Jackson amily Sean Zachary Mary arris amily Hannah Erin Edward How many different teams containing 1 member from each family could be formed? 9 H 18 J 7 1

18 school club listed the attendance at its weekly meetings as follows. 1, 9, 0, 15, 1, 8, 16, 1, 18, 10, 6, 14, 4, 17, 18 Which statement is best supported by the data? D There is no mode. There is only one mode. There are only two modes. There are three modes. 4 What is the lower quartile in the box-and-whisker plot? Video Rentals 10 5 H 60 J

19 5 The rosebushes in Pattie s Plant Store have the following colors: 0% yellow blooms. 50% red blooms. 0% pink blooms. If eorge selected a rosebush at random today, what is the probability that it will produce yellow blooms? D The ugusta ity hamber of ommerce computed the average dinner price for two at several area restaurants. What is the range of the prices displayed in the box-and-whisker plot? 0 5 H 50 J Price (in dollars)

20 7 Which scatterplot best shows there is no significant relationship between the heights of a group of people and the total amount of money they spend on food each week? Height (centimeters) Money (dollars) Height (centimeters) Money (dollars) Height (centimeters) Money (dollars) D Height (centimeters) Money (dollars) 4

21 8 Jackie is in a fashion show at school. or her first outfit she may choose from different colored shirts, pairs of pants, and pairs of shoes. rom how many different possible outfits of 1 shirt, 1 pair of pants, and 1 pair of shoes can Jackie choose? 8 H 11 J 18 9 Kirk wrote the number pattern shown below. 0,, 5, 9, 14, 0 He found that the differences between the numbers increased by 1 as shown below. 0,, 5, 9, 14, 0, If the differences continue to increase by 1, what will be the 9th number in Kirk s original pattern? D

22 40 Which phrase best represents the following? n H J Seven added to the quotient of a number and five Seven added to the quotient of five and a number The sum of seven and five divided by a number ive divided by a number added to seven 41 Which represents all the values for u that make the following true? u > u > 1 u < D u < 1 u + 5> 7 4 What value of p makes the following true? H.0 J 7.0 p 45. = 5. 6

23 4 What is the solution to the number sentence? c = 4 c = 0 c = 50 D c = 400 c = Which could be used to find the number n? our less than a number, n, is equal to fifteen. H n 4= 15 4 n = 15 n 15 = 4 J 15 n = 4 45 inger spent $4 at the fair, which was three times the amount she spent last year at the fair. How much money did inger spend last year at the fair? $8 $1 $7 D $7 7

24 46 6z > 6 The above is H J an expression an equation an inequality a variable 47 large box contains 11 smaller boxes of raisins. The price of the large box is $.75. Each of the smaller boxes of raisins costs the same amount. Which could be used to find d, the price of a smaller box? 11d =. 75 d + 11 =. 75 D d 11 =. 75 d =

25 48 Which table contains only values that satisfy the following? y = x +5 x 5 1 y x y H x y J x y 5 1 9

26 49 The graph displays the relationship between time and profit. Profit vs. Time Profit Time Which equation represents the relationship between time (t) and profit (P)? P P = t P t = 1 = t D P = t 50 Which is an expression? 5x + 5x = H 5x J 5x < 0

27 nswer Key-7074-M0118 Test Sequence Number orrect nswer Reporting ategory Reporting ategory Description 1 D 00 omputation and Estimation H 00 omputation and Estimation 00 omputation and Estimation 4 00 omputation and Estimation 5 D 00 omputation and Estimation 6 00 omputation and Estimation 7 00 omputation and Estimation 8 J 001 Number and Number Sense Number and Number Sense Number and Number Sense Number and Number Sense 1 H 001 Number and Number Sense Number and Number Sense Number and Number Sense Measurement and eometry Measurement and eometry Measurement and eometry Measurement and eometry 19 D 00 Measurement and eometry 0 H 00 Measurement and eometry 1 00 Measurement and eometry H 00 Measurement and eometry 00 Measurement and eometry 4 H 00 Measurement and eometry 5 D 00 Measurement and eometry 6 00 Measurement and eometry Probability and Statistics 8 J 004 Probability and Statistics Probability and Statistics Probability and Statistics Probability and Statistics J 004 Probability and Statistics 004 Probability and Statistics 4 H 004 Probability and Statistics Probability and Statistics 6 H 004 Probability and Statistics Probability and Statistics 8 J 004 Probability and Statistics Patterns, unctions, and lgebra Patterns, unctions, and lgebra Patterns, unctions, and lgebra 4 J 005 Patterns, unctions, and lgebra 4 D 005 Patterns, unctions, and lgebra Patterns, unctions, and lgebra Patterns, unctions, and lgebra 46 H 005 Patterns, unctions, and lgebra Patterns, unctions, and lgebra Patterns, unctions, and lgebra Patterns, unctions, and lgebra Patterns, unctions, and lgebra