Get Ready! F O R S TA N DA R D I Z E D T E S T S M AT H , G R A D E T H R E E Other Books in the Get Ready! Series: Get Ready! for Standardized Tests: Grade by Joseph Harris, Ph.D Get Ready! for Standardized Tests: Grade by Joseph Harris, Ph D Get Ready! for Standardized Tests: Grade by Karen Mersky, Ph.D Get Ready! for Standardized Tests: Grade by Joseph Harris, Ph.D Get Ready! for Standardized Tests: Grade by Leslie E Talbott, Ph.D Get Ready! for Standardized Tests: Grade by Shirley Vickery, Ph.D Get Ready! for Standardized Tests: Math, Grade by Sandy McConnell Get Ready! for Standardized Tests: Math, Grade by Kristin Swanson Get Ready! for Standardized Tests: Math, Grade by June Heller Get Ready! for Standardized Tests: Reading, Grade by Molly Maack Get Ready! for Standardized Tests: Reading, Grade by Louise Ulrich Get Ready! for Standardized Tests: Reading, Grade by Joanne Baker Get Ready! for Standardized Tests: Reading, Grade by Kris Callahan TEST PREPARATION SERIES Get Ready! F O R S TA N DA R D I Z E D T E S T S M AT H , G R A D E T H R E E Susan Osborne Carol Turkington Series Editor McGraw-Hill New York Chicago San Francisco Lisbon London Madrid Mexico City Milan New Delhi San Juan Seoul Singapore Sydney Toronto abc McGraw-Hill Copyright © 2001 by The McGraw-Hill Companies All rights reserved Manufactured in the United States of America Except as permitted under the United States Copyright Act of 1976, no part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written permission of the publisher 0-07-138683-1 The material in this eBook also appears in the print version of this title: 0-07-137403-5 All trademarks are trademarks of their respective owners Rather than put a trademark symbol after every occurrence of a trademarked name, we use names in an editorial fashion only, and to the benefit of the trademark owner, with no intention of infringement of the trademark Where such designations appear in this book, they have been printed with initial caps McGraw-Hill eBooks are available at special quantity discounts to use as premiums and sales promotions, or for use in corporate training programs For more information, please contact George Hoare, Special Sales, at george_hoare@mcgraw-hill.com or (212) 904-4069 TERMS OF USE This is a copyrighted work and The McGraw-Hill Companies, Inc (“McGraw-Hill”) and its licensors reserve all rights in and to the work Use of this work is subject to these terms Except as permitted under the Copyright Act of 1976 and the right to store and retrieve one copy of the work, you may not decompile, disassemble, reverse engineer, reproduce, modify, create derivative works based upon, transmit, distribute, disseminate, sell, publish or sublicense the work or any part of it without McGraw-Hill’s prior consent You may use the work for your own noncommercial and personal use; any other use of the work is strictly prohibited Your right to use the work may be terminated if you fail to comply with these terms THE WORK IS PROVIDED “AS IS” McGRAW-HILL AND ITS LICENSORS MAKE NO GUARANTEES OR WARRANTIES AS TO THE ACCURACY, ADEQUACY OR COMPLETENESS OF OR RESULTS TO BE OBTAINED FROM USING THE WORK, INCLUDING ANY INFORMATION THAT CAN BE ACCESSED THROUGH THE WORK VIA HYPERLINK OR OTHERWISE, AND EXPRESSLY DISCLAIM ANY WARRANTY, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO IMPLIED WARRANTIES OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE McGraw-Hill and its licensors not warrant or guarantee that the functions contained in the work will meet your requirements or that its operation will be uninterrupted or error free Neither McGraw-Hill nor its licensors shall be liable to you or anyone else for any inaccuracy, error or omission, regardless of cause, in the work or for any damages resulting therefrom McGraw-Hill has no responsibility for the content of any information accessed through the work Under no circumstances shall McGraw-Hill and/or its licensors be liable for any indirect, incidental, special, punitive, consequential or similar damages that result from the use of or inability to use the work, even if any of them has been advised of the possibility of such damages This limitation of liability shall apply to any claim or cause whatsoever whether such claim or cause arises in contract, tort or otherwise DOI: 10.1036/0071386831 To my daughter Charlotte and my aunt Patricia Bigg for encouraging me to undertake this project; my husband John for his unfailing support throughout; and all the third graders I have had the pleasure to teach over the past thirty years and from whom I have learned so much Susan Osborne This page intentionally left blank MATH, GRADE THREE Contents Skills Checklist ix Introduction Types of Standardized Tests The Major Standardized Tests How States Use Standardized Tests Valid Uses of Standardized Test Scores Inappropriate Use of Standardized Test Scores Two Basic Assumptions A Word about Coaching How to Raise Test Scores Test Questions 4 Chapter Test-Taking Basics What This Book Can Do How to Use This Book Basic Test-Taking Strategies On to the Second Chapter Chapter Basic Number Facts What Third Graders Should Know What You and Your Child Can Do What Tests May Ask Practice Skill: Basic Facts Chapter Addition What Third Graders Should Know What You and Your Child Can Do What Tests May Ask Practice Skill: Addition Chapter Subtraction 2 What Third Graders Should Know What You and Your Child Can Do What Tests May Ask Practice Skill: Subtraction Chapter Multiplication What Third Graders Should Know What You and Your Child Can Do What Tests May Ask Practice Skill: Multiplication Chapter Division 7 8 What Third Graders Should Know What You and Your Child Can Do What Tests May Ask Practice Skill: Division Practice Skill: Division with Remainders 11 11 12 13 13 Chapter Fractions and Decimals Fractions What Third Graders Should Know What You and Your Child Can Do What Tests May Ask Practice Skill: Fractions 15 15 16 vii Copyright 2001 The McGraw-Hill Companies Click Here for Terms of Use 17 17 19 19 19 20 21 23 23 24 25 25 27 27 28 29 29 30 31 31 31 32 32 33 MATH, GRADE THREE Decimals What Third Graders Should Know What You and Your Child Can Do What Tests May Ask Practice Skill: Decimals Chapter Place Value, Number Sense, and Money What Third Graders Should Know Missing Numbers Ordinal Numbers Rounding What You and Your Child Can Do What Tests May Ask Practice Skill: Place Value, Number Sense, and Money Chapter Geometry What Third Graders Should Know What You and Your Child Can Do What Tests May Ask Practice Skill: Geometry Perimeter, Area, and Volume What You and Your Child Can Do What Tests May Ask Practice Skill: Perimeter, Area, and Volume Chapter 10 Measurements 33 34 34 34 34 What Tests May Ask Practice Skill: Problem Solving 60 60 Appendix A: Web Sites and Resources for More Information 63 Appendix B: Read More about It 67 Appendix C: What Your Child’s Test Scores Mean 69 Appendix D: Which States Require Which Tests 77 Appendix E: Testing Accommodations 87 Glossary 89 Answer Keys for Practice Skills 91 Sample Practice Test 93 37 37 37 38 38 39 40 40 43 44 44 45 46 47 48 49 49 51 What Third Graders Should Know What You and Your Child Can Do What Tests May Ask Practice Skill: Measurement 51 52 54 54 Chapter 11 Problem Solving 57 What Third Graders Should Know What You and Your Child Can Do 57 59 Answer Key for Sample Practice Test viii 122 MATH, SKILLS G MY CHILD … BASIC GRADE THREE CHECKLIST HAS LEARNED IS WORKING ON NUMBER FACTS ADDITION WITHOUT REGROUPING ADDITION WITH REGROUPING ESTIMATION SUBTRACTION—TWO-DIGIT NUMBERS SUBTRACTION—THREE-DIGIT SUBTRACTION NUMBERS WITH REGROUPING MULTIPLICATION FACTS MULTIPLYING ONE-DIGIT NUMBERS MULTIPLYING TWO-DIGIT NUMBERS SIMPLE DIVISION WITHOUT REMAINDERS SIMPLE DIVISION WITH REMAINDERS FRACTIONS: ADDING FRACTIONS: SUBTRACTING DECIMALS PLACE VALUE MISSING NUMBERS ORDINAL NUMBERS ROUNDING MONEY TWO-DIMENSIONAL FIGURES THREE-DIMENSIONAL LINES FIGURES AND ANGLES PATTERNS PERIMETER AREA VOLUME STANDARD METRIC WORD MEASUREMENTS MEASUREMENTS PROBLEMS ix Copyright 2001 The McGraw-Hill Companies Click Here for Terms of Use MATH, GRADE THREE: GET READY! FRACTIONS Directions: Choose the correct answer for each of the following problems − Example: 1 + = _ 3 A A B B C C D D none of the above Answer: B + A A B B 3 C C 4 D D 108 + = _ Cut along dashed line – = _ 10 10 10 A 10 B 10 C 10 D 10 GO SAMPLE PRACTICE TEST + = _ 16 16 A 16 A = B 10 16 C > B < D not given C 16 10 D 16 Choose the correct sign to complete this problem: 1/3 _ 1/2 A = B < Choose the correct order from largest to smallest in the following fractions A Cut along dashed line Choose the correct sign to complete this problem: 1/2 _ 1/4 C > D not given 1/4, 1/3, 1/2 11 B 1/3, 1/2, 1/4 C 1/2, 1/3, 1/4 Choose the correct sign to complete this problem: 2/4 _ 1/2 A = D none of the above B < What fraction does the shaded part of this figure show? C > D not given 12 A 2/5 Jim and Cindy bought a pizza If they cut a line down the middle, how much would each person get? B 3/5 C 5.5 D 3/4 A half What fraction does the shaded part of this figure show? B quarter C third D not given A B 1/2 C 1/4 D 2/3 109 MATH, GRADE THREE: GET READY! DECIMALS Directions: Solve each problem below Example: Write the fraction and the decimal for the shaded area in the figure below In the number 40.53, what number is in the tenths place? A B A 1/4 or 25 C B 1/3 or D C 4/10 or 04 Answer: D none of the above For the number 39.84, what number is in the tenths place? Cut along dashed line B Add $8.00 and $3.68 A $8.68 A B About $9.00 B C $8.685 C D none of the above D What is the number name for five hundred forty-three and twentynine hundredths? A 534.029 B 543.2 C 534.29 D none of the above You bought a baseball glove at a flea market for $2.75 You gave the cashier a $10 bill How much change did you receive? A $8.25 B About $5.00 C $7.25 D none of the above GO 110 SAMPLE PRACTICE TEST A 7.42 945.50 −21.60 B 5.2 A 966.10 C 6.412 B 967.10 D 7.6 C 923.90 Solve the problem: 6.4 + 1.2 = _ D 924.90 12.034 +1.342 A 13.376 B 12.376 C 9.692 Cut along dashed line D none of the above 345.010 −97.609 _ 10 12.034 6.980 +1.342 A 30.356 B 20.356 C 20.456 D 20.366 A 247.401 B 348.401 C 348 409 D 248.619 111 MATH, GRADE THREE: GET READY! MONEY Directions: Read the following problems and select the correct answer Choose the correct position of the letter h in the alphabet A eleventh Example: B tenth $12.00 0.45 +3.16 C ninth D eighth B $15.61 C $15.51 Choose the numbers that come before and after 4,000 D $25.61 A 3,999 and 4,001 B 3,900 and 4,100 Answer: C 3,901 and 4,010 B $15.61 $9.05 +6.98 _ A $16 93 D 3,990 and 4,110 Count the money pictured below, and choose the correct value B $15.93 C $16.13 D $16.03 $12.00 −6.05 A $6.05 B $6.95 C $5.95 A $10.15 D none of the above B $15.15 C $11.15 D $11.25 GO 112 Cut along dashed line A $14.61 SAMPLE PRACTICE TEST Round $5.39 to the nearest dollar 10 Ten pennies have a value of what? A $6.00 A 100 cents or nickels B $5.00 B 10 cents or 10 dimes C $6.50 C 10 cents or dime D $5.40 D 100 cents or nickels You buy some candy for $1.23 You give the sales clerk a $5 bill Choose the correct amount of change you will receive 11 Find the total cost for a soccer ball at $18.59, a baseball mitt at $12.23, and a football at $23.48 A $54.30 A $3.57 B $64.30 B $2.43 C $74.30 C $3.23 D $64.60 Cut along dashed line D $3.77 12 You get a $5 allowance every week You are saving up to buy a video game for $16.50 How many weeks will you have to save to have enough money to buy the game? A weeks B weeks C weeks Sarah wants to buy a book that costs $2.25 She has $1.15 How much more money does she need in order to buy the book? A $1.10 B $2.10 C $1.15 D none of the above D weeks $2.57 means what? A 257 cents B dollars and 57 cents C 20 dollars and 57 cents D not given 113 MATH, GRADE THREE: GET READY! GEOMETRY Directions: Read the following problems and select the correct answer How many sides does this figure below have? Example: What kind of an angle the hands of a clock make at 9:00? A a right angle B less than a right angle C greater than a right angle A D none of the above B Answer: D Choose the cube from among the shapes pictured below A B Which one of these figures is not a closed shape? A B C C D D GO 114 Cut along dashed line C A a right angle SAMPLE PRACTICE TEST This figure is a what? A line segment Choose the figure that is a sphere A B line B C ray D angle S OUP C Complete the following pattern: D Cut along dashed line A What is this shape? B A triangle B pentagon C C octagon D hexagon D Which figure below shows a correct line of symmetry? A Look at this picture How many units are shown in the rectangle? A 12 units B units B C units D 10 units C D GO 115 MATH, GRADE THREE: GET READY! Directions: Read the following questions and select the correct answer for each one 11 inches Example: What is the area of this shape? (Area = length × width.) inches inches A inches ft B 12 inches ft C inches B square feet 12 C square feet Which container is the best one to fill up a 5-quart soup pot the quickest? D square inches A a teaspoon B a pint jar Answer: C a quart jar C square feet What is the area of this shape? in D a measuring cup 13 How many suns would fit around the perimeter of the shape below? in A 20 square inches A suns B square inches B 14 suns C 16 square inches C 16 suns D 18 square inches D suns GO 116 Cut along dashed line D inches A square feet 10 What is the perimeter of this shape? SAMPLE PRACTICE TEST 14 Which shape has no corners or angles? 16 Which of the figures below contains only right angles? A B A C B D Cut along dashed line 15 Which of the figures below is a line segment? A • C B C • • D none of the above D 117 MATH, GRADE THREE: GET READY! MEASUREMENT Example: A 1/3 yard A yard is how many feet? B 1/4 yards A C yards B D none of the above C D 24 How many yards are equal to 12 inches? Answer: Would you measure a football field in inches or yards? A inches C B yards How many inches are there in a yard? A 12 inches C neither B 108 inches A pints C 24 inches B quart D none of the above How many feet equal yards? A feet Which is more, pints or quart? C They are equal How would you measure a safety pin? B 12 feet A in centimeters C feet B in yards D none of the above C in feet D in miles How many yards are equal to feet? A yards B yards C yards D none of the above 118 GO Cut along dashed line Directions: Solve each problem below SAMPLE PRACTICE TEST Which is more, quart or cup? 11 A cup B quart C They are equal A 36 gallons Directions: Solve each problem B 26 gallons Example: C 13 gallons Mrs Smith bought 12 quarts of milk this week How many pints of milk is this? A 23 D gallons 12 B 24 One liter is a little than a quart C 12 A more Cut along dashed line D 48 B less Answer: C about the same B 24 The gas tank in John’s car holds 15 gallons It took 10 gallons to fill the tank How many gallons were in the tank before it was filled? D none of the above 13 Pete bought yards of fishing line for his rod How many feet did he buy? A 10 A feet B B feet C 15 C feet D 10 Shannon uses gallons of gas to mow a lawn She mowed the lawn 13 times this summer How much gas did she use to mow the lawn this summer? Betty bought 12 liters of soda The soda was in four bottles of the same size How many liters of soda were in each bottle? A D feet 14 About how many liters would a sink hold if it were full? A liter B B 10 liters C C 200 liters D D none of the above GO 119 MATH, GRADE THREE: GET READY! 15 If a thermometer in the freezer read 82°F, is this too cold, too hot, or just about right? A Too cold B Too hot Cut along dashed line C Just about right 120 This page intentionally left blank MATH, GRADE THREE Answer Key for Sample Practice Test Addition Multiplication 10 11 12 13 14 15 16 10 11 12 13 14 15 16 B D A C C A C A B B C D B D C A C C D C C D B D B C A D B B A D Subtraction Division 10 11 12 13 14 15 16 10 D A B A C A D A A B B A A A A B C C A B A C D A D B Fractions C B A C 10 11 12 B C B B C B A A Decimals 10 C D A D C D A A C B Money 10 11 12 D C D A C B D B B C A A Geometry 10 11 12 13 14 15 16 B A B C B D A B C A D C C C C A Measurement 10 11 12 13 14 15 D B A A B C A B B C B A B B B 122 Copyright 2001 The McGraw-Hill Companies Click Here for Terms of Use ... Get Ready! for Standardized Tests: Math, Grade by Kristin Swanson Get Ready! for Standardized Tests: Math, Grade by June Heller Get Ready! for Standardized Tests: Reading, Grade by Molly Maack Get. .. Ready! for Standardized Tests: Grade by Leslie E Talbott, Ph.D Get Ready! for Standardized Tests: Grade by Shirley Vickery, Ph.D Get Ready! for Standardized Tests: Math, Grade by Sandy McConnell Get. .. Ready! for Standardized Tests: Grade by Joseph Harris, Ph D Get Ready! for Standardized Tests: Grade by Karen Mersky, Ph.D Get Ready! for Standardized Tests: Grade by Joseph Harris, Ph.D Get Ready!