north carolina End of Grade Mathematics North Carolina Practice and Mastery 7
FOR THE STUDENT North Carolina End-of-Grade Mathematics Practice and Mastery is a mathematics review program. It can help you prepare for such end-of-grade tests as the North Carolina End-of-Grade Mathematics Test. This book has 3 practices. In each practice, you will answer 82 multiple-choice questions. You may use a calculator to answer Numbers 1 54. For any calculation involving pi, you must use the pi key on the calculator. You may not use a calculator to answer Numbers 55 82. You may use graph paper for any question. Use the answer form on page 45 and the back cover of this book to record your answers. Be sure to fill in the answer bubbles completely. If you change an answer, erase your first answer fully. As you do the practices in North Carolina End-of-Grade Mathematics Practice and Mastery, use the testing tips below. They can help you be a better test taker. Testing Tips for Answering Multiple-Choice Questions Read each question carefully before you try to answer it. Be sure you know what the question is asking you to do. Cross out any answer choices that are not reasonable. Then make your choice from the remaining choices. Read the question again. Check that your answer makes sense. Acknowledgments Product Development Project Manager/Editor: Mary Ellen Osowski Book Editor: Pamela Halloran Design and Production Designers: Jamie Ruh and Christine Gilbert Program Reviewer Tiffany Johnson, 6 7 Mathematics Teacher, Chatham County Schools, Pittsboro, NC Reorder No. CA11289 10-Pack ISBN 978-0-7609-5227-6 2009, 2006 Curriculum Associates, Inc. North Billerica, MA 01862 Phone: 800 225-0248 (U.S. & Canada) Fax: 800 366-1158 (U.S. & Canada) E-mail: info@cainc.com Web: www.cainc.com No part of this book may be reproduced by any means without written permission from the publisher. All Rights Reserved. Printed in USA. 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
TABLE OF CONTENTS Practice One Calculator Active...2 Calculator Inactive...11 Practice Two Calculator Active...16 Calculator Inactive...25 Practice Three Calculator Active...30 Calculator Inactive...39 Answer Form...45
Practice TWO Calculator Active Answer Numbers 1 54. You may use a calculator. 1. Which situation, where x stands for the number of pairs of mittens, would be translated into the following inequality? 5x 2 3.5 $ 42 A Melania needs to make at least $42 by knitting and then selling mittens for $3.50 a pair. B Melania will make no more than $42 by knitting and then selling 5 pairs of mittens that cost her $3.50 a pair to make. C Melania must make at least $42 by knitting and then selling a certain number of pairs of mittens for $5 each. D Melania will make at least $42 by knitting and then selling mittens for $5 a pair after having spent $3.50 on materials. 2. Alan, Ricardo, and Jolene compared the statistics of the first 15 games that they bowled in their bowling leagues. All three are top competitors in their leagues. Their mean, median, and mode scores are all very close, but their ranges are quite different. Alan s range is 55; Ricardo s is 46; and Jolene s is 11. Which is most likely to occur when they bowl their next game? A Alan s score will be close to his mean. B Ricardo s score will be close to his mean. C Jolene s score will be close to her mean. D Each bowler s score will be close to his or her mean. 3. Hillard plans on making a new frame for a portrait that his grandmother has of his greatgrandfather. His grandmother sent Hillard a photo of the original frame. The frame in the photo is 1.5 inches wide and 2 inches long. The actual length of the frame is 30 inches. How wide should Hillard make the new frame? A 22.5 inches B 32 inches C 29.5 inches D 30.5 inches 4. Lucy is helping her father input his company s hard-copy files. Her father agreed that each day he would pay her $5 for the first file and a dollar more than that for each file after the first. Which equation, where P stands for her pay and f stands for the number of files completed, could be used to determine Lucy s pay on any given day? A P 5 5f 1 6f B P 5 6(f 2 1) 1 5 C P 5 6(f 1 1) 1 5 D P 5 6f 1 5 5. Which score or scores, if any, is an outlier in this data? 88, 83, 76, 84, 98, 86, 85 A 76 B 98 C Both 76 and 98 are outliers. D None of the scores are outliers. Practice TWO 16 Curriculum Associates Copying is not permitted.
6. The rectangles below are similar. Which proportion could be used to find the length of EF? B A A AB BC 5 AB B AD 5 AB C D C BC GH 5 AB D AB 5 BC EH F E 7. What is the volume of the container shown? 8.5 m 3.2 m A 13.45 cubic meters B 15.23 cubic meters C 27.2 cubic meters D 47.6 cubic meters 1.75 m 8. Three more scores, higher than the highest score in the stem-and-leaf plot, will be added to the set of data. 0 2 2 3 6 9 1 1 2 5 5 6 8 8 8 8 2 4 4 5 6 8 9 9 9 3 2 5 7 8 Which of the following will remain the same? A mean B median C mode D range G H 9. What number is missing in this sequence? 3, 12,, 192, 768 A 180 B 48 C 16 D 15 10. The data below will be organized in a frequency table with the intervals 61 70, 71 80, 81 90, and 91 100. data: 90, 81, 78, 77, 65, 93, 72, 85, 90, 81, 77, 88, 92, 67, 85, 94, 75, 81, 63 How many frequencies will there be for 81 90? A 5 B 8 C 9 D 11 11. If you were directly above a cone and looked straight down on it, what shape would you see? A square B circle C cylinder D rectangle 12. Which equation is the correct translation of three times a number increased by ten is forty? A 3 1 10x 5 40 B 3x 5 10 1 40 C 3x 1 10 5 40 D 3(x 1 10) 5 40 Curriculum Associates Copying is not permitted. 17 Practice TWO