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www.EngineeringEbooksPdf.com 1001 MATH PROBLEMS 3RD EDITION www.EngineeringEbooksPdf.com 1001 MATH PROBLEMS 3RD EDITION đ NEW www.EngineeringEbooksPdf.com YORK Copyright â 2009 LearningExpress, LLC All rights reserved under International and Pan-American Copyright Conventions Published in the United States by LearningExpress, LLC, New York Library of Congress Control Number: 2009926365 A copy of this book is on file with the Library of Congress Printed in the United States of America Third Edition ISBN 13: 978-1-57685-686-4 For more information or to place an order, contact LearningExpress at: Rector Street 26th Floor New York, NY 10006 Or visit us at: www.learnatest.com www.EngineeringEbooksPdf.com Contents INTRODUCTION vii SECTION Miscellaneous Math SECTION Fractions 25 SECTION Decimals 47 SECTION Percentages 71 SECTION Algebra 95 SECTION Geometry 123 ANSWERS 157 v www.EngineeringEbooksPdf.com www.EngineeringEbooksPdf.com Introduction This book—which can be used alone, in combination with the LearningExpress publication Practical Math Success in 20 Minutes a Day, or along with another basic math text of your choice—will give you practice in dealing with whole numbers, fractions, decimals, percentages, basic algebra, and basic geometry It is designed for individuals working on their own, and for teachers or tutors helping students learn the basics Practice on 1,001 math problems should help alleviate math anxiety, too! A re you frightened of mathematics? You’re not alone By the time I was nine, I had developed a full-blown phobia In fact, my most horrible moments in grade school took place right before an arithmetic test My terror—and avoidance—lasted well into adulthood, until the day I landed a job with a social service agency and was given the task of figuring budgets, which involved knowing how to percentages I might just as well have been asked to decipher the strange squiggles incised on the nose-cone of an alien spaceship I decided I’d better something quick, so I went to a friend of mine, a fifth-grade teacher, and asked her to design a short course for me We met on Sundays for almost a year She began each tutorial with a short lecture on the type of problem we would be working with, and then provided me with a yellow legal pad and a photocopied set of problems—and sat doing crossword puzzles while I labored We worked our way up to geometry that way, and on into algebra “Mathematics works,” she told me early on “Don’t ask why Just the problems One day the light will dawn.” vii www.EngineeringEbooksPdf.com – HOW TO USE THIS BOOK – In each section, you will find a few pre-algebra problems mixed in—problems that ask you to deal with variables (letters that stand for unknown numbers, such as x or y), exponents (those little numbers hanging above the other numbers, like 24), and the like These problems are a warm-up for Section 5, Algebra If they are too hard for you at first, just skip them If you can answer them, you will be ahead of the game when you get to Section The most important learning tool in this book is not the problems, but the answers At the back of the book, each answer is fully explained After you finish a set, go to the back of the book and see how many questions you got right But don’t stop there: Look at the explanations for all the questions, both the ones you got right and the ones you got wrong You will be learning by doing, and learning from your mistakes—the best way to learn any subject And it did finally! I’m proud to say I no longer have to pay someone to my 1040 form for the IRS, and I don’t squirm and make excuses when, at lunch with friends, I’m called on to figure the tip in my head I even balance my checkbook now! Learn by doing It’s an old lesson, tried and true And it’s the tool this book is designed to give you Of course, this method works for people who don’t have math anxiety, too Maybe you have simply forgotten a lot of what you learned about math because you haven’t had to use it much Or maybe you’re a student tackling arithmetic, algebra, and geometry for the first time, and you just need more practice than your textbook gives you Perhaps you’re getting ready for an exam, and you just want to make sure your math skills are up to the task Whatever your situation, you can benefit from the method of this book That old maxim really is true: Practice makes perfect An Over view of This Book How to Use This Book 1001 Math Problems is divided into sections, each focusing on one kind of math: Whether you are working alone or helping someone else brush up on their math, this book can help you improve math skills Section 1: Miscellaneous Math (page 1) Section 2: Fractions (page 25) Section 3: Decimals (page 47) Section 4: Percentages (page 71) Section 5: Algebra (page 95) Section 6: Geometry (page 123) Working On Your Own If you are working alone to brush up on the basics, you may want to use this book in combination with a basic text or with Practical Math Success in 20 Minutes a Day It will be helpful to read a summary of the different kinds of fractions and how to convert fractions into another form, before tackling fraction problems If you are fairly sure of your basic math skills, however, you can use this book by itself No matter how you decide to use the book, you will find it most helpful if you not use a calculator Each section is subdivided into short sets of about 16 problems each, so as to make the whole project seem less overwhelming You will begin with one or two sets of fairly simple non-word problems; later sets focus on word problems dealing with real-world situations viii www.EngineeringEbooksPdf.com – HOW TO USE THIS BOOK – for the majority of the problems, so as to prevent (or cure) “calculitis”—too much reliance on a calculator (A special note is placed with the problems that will require you to use a calculator.) Tutoring Others ■ This book will work very well in combination with almost any basic math text You will probably find it most helpful to give the student a brief lesson in the particular operation they will be learning—whole numbers, fractions, decimals, percentages, algebra, or geometry—and then have him or her spend the remainder of the class or session actually doing problems You will want to impress upon him or her the importance of learning by doing, and caution not to use a calculator so as to gain a better understanding of the operation in question ■ Additional Resources You can find many other superb LearningExpress math review books at your local bookstore or library Here are a few suggested titles: ■ ■ ■ Practical Math Success in 20 Minutes a Day Master real-world math skills in just four weeks! This invaluable skill-building guide makes challenging math subjects more accessible by tackling one small part of the larger topic and building upon that knowledge with each passing day Complete each lesson in just 20 minutes a day to build skills in areas such as fractions, word problems, polygons and triangles, probability, and algebraic equations Express Review Guides series LearningExpress’s Express Review Guides series includes a number of useful math titles Basic Math and Pre-Algebra, Algebra I, Algebra II, Fractions, Percentages & Decimals, and Math Word Problems are all designed with practical drills, numerous diagrams and charts, and tons of step-by-step practice exercises Math to the Max: 1200 Questions to Maximize Your Math Power With 1,200 total multiplechoice practice questions, this jam-packed review book covers areas such as basic math, algebra, geometry, and more Math to the Max helps you master essential math skills to score higher on any standardized test, and includes detailed answer explanations to help you identify your strengths and weaknesses Office Financials Made Easy supplies math problems to help you take stock of your basic office math skills Whether you need a review of the fundamentals or instruction on more complex business math concepts, this guide will show you a wide range of applications, such as cash flow statements, depreciation, simple statistics, profit and loss statements, and payroll calculations Seeing Numbers This guide provides a new way to look at math with pictures, graphs, and diagrams Designed especially for learners who have difficulty with conventional math techniques, Seeing Numbers gives you step-by-step instructions using pictures to help solve problems, sample questions with graphics illustrating important math concepts, and thorough answer explanations that walk you through each question ix www.EngineeringEbooksPdf.com www.EngineeringEbooksPdf.com .. .1001 MATH PROBLEMS 3RD EDITION www.EngineeringEbooksPdf.com 1001 MATH PROBLEMS 3RD EDITION đ NEW www.EngineeringEbooksPdf.com YORK Copyright â 2009 LearningExpress,... Book 1001 Math Problems is divided into sections, each focusing on one kind of math: Whether you are working alone or helping someone else brush up on their math, this book can help you improve math. .. tutors helping students learn the basics Practice on 1,001 math problems should help alleviate math anxiety, too! A re you frightened of mathematics? You’re not alone By the time I was nine, I had

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