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I HAVE AN ADMISSION TO MAKE BY RICHARD J. ROME HIGHER SCORES FOR HIGHER EDUCATION Copyright © 1995, 1999, 2004, by Richard J. Rome All rights reserved. No part of this book may be reproduced in any form or by any means whatsoever, electronic or mechanical, including photocopying, recording, or by any information storage and retrieval system without express written permission from the author. All inquiries should be e-mailed to:
Library of Congress Registration Number: TXu 917-094 Effective Date of Registration: 09/03/99 PSAT/NMSQT (Preliminary Scholastic Assessment Test/National Merit Scholarship Qualifying Test), the SAT-I: Reasoning Test and the SAT-II: Subject Tests are registered trademarks of the College Examination Board. ETS is a registered trademark of the Educational Testing Service. FOR EMILY, The pain of discipline < (is less than) the pain of regret.
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TABLE OF CONTENTS Forewords: Dr. Joseph Cooper, Professor of Political Science and
former Provost and Vice President for Academic Affairs,
Johns Hopkins University...............................................10 Dr. William E. Fitzgibbon III, Chairman and Professor
of the Department of Mathematics,
University of Houston..................................................11 Acknowledgments........................................................12 INTRODUCTION TO HIGHER SCORES FOR HIGHER EDUCATION.....................17 - guessing: defensive / offensive / horseshoes and hand grenades...21 - A topology of cups and doughnuts during the PSAT and the SAT.22 - the possibilities worth considering..........................26 - the f's, high-test fuel for your mind........................28 - Manage, to have a good time on your test.....................30 MATH PREP: PSAT/NMSQT, SAT-I: REASONING TEST, SAT-II MATH 1: - fractions, ratios, percentages, averages and "gridins".......31 - 70 - a high-score illusion........................................71 - reinforcement test Math-I (answers, scoring, solutions).....71 - 88 MATH II: the real number system........................................89 - 119 - integers (are integral), odds, evens.........................89 - algebraic operations.........................................92 - identities...................................................94 - factors, multiples...........................................95 - prime numbers, composite numbers.............................95 - The powers of exponents......................................96 - perfect squares that are not dweebs..........................98 - Radicals are a good riddance. ...............................104 - The order of algebraic operations............................107 - variables in terms of other variables .....................108 - equalities, functions and inequalities.......................112 - Does symbolism give you an embolism? ........................116 - reinforcement test Math II (answers and solutions)...........120 - 137 GEOMETRY MATH III: Geometry (the first dimension)...............................138 - 155 - angles, lines................................................138 - triangles....................................................139 - the right triangle...........................................141 - quadrilaterals...............................................143 - polygons.....................................................145 - face diagonals...............................................146 - circles......................................................149 - Re-recount twenty-three f's..................................155 - reinforcement test Math III (answers and solutions)..........156 - 180 MATH IV: Geometry of Areas (the second dimension).....................181 - 190 MATH V: Cartesian coordinates........................................191 - 195 - reinforcement test Math IV, V (answers and solutions)........196 - 214 MATH VI: Geometry of Volumes (the third dimension)....................215 - 226 - space diagonal...............................................216 - reinforcement test Math VI (answers and solutions)..........227 - 245 MATH VII: WORD PROBLEMS: variation, motion, work, assigned-values.....246 - 260 - variation....................................................246 - Does motion make you throw up?...............................251 - work.........................................................255 - assigned-value problems......................................258 GORDIAN COUNTING, COMBINATIONS MATH VIII:combinations, probability, exhaustion, Venn diagrams.........261 - 268 - the fundamental principle of counting........................261 - finite probability, odds, independent trials, more guessing..267 - reinforcement test Math VII, VIII (answers and solutions)....269 - 287 - Venn diagrams................................................288 - 297 MATH IX: Data Interpretation..........................................298 - 317 MATH X: Mode.........................................................318 - 319 CRITICAL-READING PREP CRITICAL READING I - sentence completions.........................................320 - 334 - annotate structural clues (telltales)/ analogy topology......323 - 324 - syntax, subordination, stress, main idea.....................325 - reinforcement test / sentences completions ..................335 CRITICAL READING II reading explicitly, implicitly with your #2 pencil a.........342 - 399 - choosing the correct answer..................................356 - double passages..............................................381 - 389 - narrative (fiction / nonfiction).............................390 - rhetorical devices...........................................391 WRITING SKILLS PREP: STANDARD WRITTEN ENGLISH - question types / directions / how to approach the questions..400 - 444 - diction, a haven for homophones / clichés are worn to a frazzle....402 - mixed metaphors, "Apology does not mend the offense."........403 - substandard usage (sic) ain't no way to communicate..........404 - Idiom is habit-forming / verbosity by Calvin Coolidge........405 - 407 - grammar, the rules most commonly violated ...................408 - subject-verb agreement...................................408 - pronouns and their antecedents...........................414 - tense and verb forms.....................................420 - God bless the subjunctive! .............................422 - fragments................................................427 - parallelism..............................................427 - modifiers................................................437 - She looks as a horse, and other comparisons..............440 - logical connections..........................................443 - ten-interrogative checklist..................................444 PSAT/SAT REINFORCEMENT TEST............................................445 - 458 PERORATION IN THE LOCKER ROOM BEFORE THE TEST..........................475 GLOSSARY...............................................................479 - 500