HESI ENTRANCE EXAMINATION STUDY GUIDE TABLE OF CONTENTES HESI Study Packet Introduction HESI Test Overview (Math, Reading, Comprehension, Vocabulary, Grammar) Math (face sheets precedes each section—pages bold, underlined; Answers follow each section Math diagnostic Test HEST Math Review I-III: Add, subtract, multiply, divide Math IV-VI: Add, subtract, multiply, divide decimals Math VII-XII: Fraction terms; reducing proper and improper fractions; LCD changing improper to mixed, mixed to improper; ass, subtract, multiply, divide fractions; change fractions to decimals; change decimals to fractions Math XIII: Ratio/Proportion Math XVI: Percentages Math: Helpful information to memorize and understand: chart of fractions, decimals, percents; Roman numerals; measurement conversions Math Review Answer key MATH PRACTIVE TEST 1 (face sheets) 1. Add, subtract, multiply, divide 2. Multiply, divide (by & into), and, subtract decimals 3. Change fractions to decimals; decimals to fractions 4. Add, subtract, multiply, divide fractions 5. Percentage 6. Ratio/Proportion 7. Conversion Page 1-2 3-4, 5-8 9-14 15-19 20-33 34-36 37-39 40-41 42-43 44-46 47-48 49-50 51-52 53-54 55-56 57 58-59 8.Rounding MATH PRACTICE TEST 2 (face sheets) 9. Add, subtract, multiply, divide 10. Change decimals to fractions; change fractions to decimals; multiply, divide (by & into) add, subtract decimals. 11. Add, subtract, multiply, divide fractions 12. Percentage 13. Ratio/Proportion 14. Conversion 15. Rounding Reading Comprehension (face sheets) face sheet precedes each section pages are bold, underlined; answers follow each section How to answer reading comprehension questions and sharpen your reading skills (without really trying) Sample reading test Reading Vocabulary (face sheets) face sheet precedes each section pages are bold, underlined; answers follow each section 1. Test 5 (everyday) 2. Exams 7, 10-14 (everyday) 3. Spelling (everyday) 4. Multiple Choice Quiz (medical terminology) Chapter One- Four, Twenty-One List of medical terminology (four study only) Grammar (face sheets) face sheet precedes each section- pages are bold, underlined; answers follow each section 1. Exercise One: Problems with Verbs (Part 1) 60-61 62-64 65-66 67-68 69-70 71-72 73-74 75-76 77-78 79-80 81-83 84-86 87-92 93-95 96-97 98-102 103-107 108-122 123-134 135-137 138-139 2. Exercise Two: Problems with Verbs (Part 2) 3. Exercise Three: Problems with Verbs (part 3) 4. Exercise Fourteen: Problems with Introductory Verbal Modifiers 5. Exercise Fifteen: Problems with Parallel Structure 6. Exercise Eighteen: Problems with Structure Answer keys for above grammar section (1-6) 7. Lesson 5: Sentence Structure: Dangling Modifiers 8. Lesson 5: Sentence Structure: Parallel Structure Answer keys for above grammar section (7-8) 9. Plurals: Ex 2, 3, 4, 5 10. Verbs: Ex 12, 13 Answer keys for above grammar section (9-10) 11. Verbs: (Subjects – Verbs Agreement) lesson 12, Exercise 19 Answer key for the above grammar section (11) 12. Gerunds and Infinitives Answer key for above grammar section (12) 140 141 142-144 145-147 148-149 150-158 159-161 162-164 165 166-169 170-172 173-174 175-178 179-180 181 182 1 Types of questions (no word or story problems) 1. Add, subtract 2. Add, subtract: decimals, whole numbers to decimals 3. Ratio; change fractions to ratio 4. Change decimal to percent 5. Multiply decimals 6. Divide by decimals 7. Rounding 8. Change fractions to decimals 9. Divide by fractions 10. Reduce 11. Add fractions with unlike denominators 12. Divide fractions by whole numbers 13. Divide fractions by fractions HESI Reading Comprehension Overview 1. Need a good vocabulary to answer questions 2. Read, summarize 3. Implies information: Ex. (From the text) In a test, spend more time on essay questions, which are worth more. (From the question) In a test, in order to get more points, spend more time on difficult questions. 4. Long and short paragraphs 5. Other types of questions: A. Definition of words B. What is stated vs. implied C. Fact vs. opinion HESI Vocabulary Test Overview 1. Vocabulary in context, or as definition, or correct usage---questions not always clear A. Multiple Choice, Scenario is set up B. Medical terms, some from biology C. Literary words D. Everyday words Math Overview 2 1. Particularly difficult for ESL (foreign) students 2. Questions 1-25 select best answer A. Verb Forms B. Dangling modifiers 3. Questions 26-50 Identify and correct incorrect portion a. Subject-Verb agreement b. Parallelism c. Plurals d. Infinitives (to + Verb) or Gerunds (verb + ing) e. Particles/prepositions (depend on, not depend in) f. There, their, they’re usage 4. Questions 51-55 HESI Grammar Overview 3 NEXT STEP: GO ON TO MATH REVIEW, THEN PRACTICE TESTS 1 AND 2. Directions: 1) Take the diagnostic test that follows. 2) Score with the answer key that immediately follows. 3) Provide the following information hereon (pages 3,4) for tutor- and-selfevaluation: Total number of problems: 27 Number correct: Multiply number correct X 100= Divide by total number of problems= % Tutor will review for areas to work on in Math. Areas to work on: , , , MATH Diagnostic 4 Circle question number (s) missed 1 2 5 3 6 4 7 8 9 10 11 12 16a 17 18 19 13 14 15 16b 21 22 23 24 25 26 27a 27b Type of Question Addition Multiplication Division Subtraction Add, subtract, multiply, decimals Concept of decimals, fractions, percent Add fractions w/ unlike denominators Multiply fractions Divide fractions Concept of ratio Subtract decimals Multiply decimals Divide by decimals Percent problem Ratio Problem Diagnostic Key to follow 5 Number Power Review Pretest This pretest will tell you which chapters of Number Power Review you need to work on and which you have already mastered. Do all the problems that you can. There is no time limit. Check your answers with the answer key. Fill out chart at test end. Do all work on these pages. Find an answer to each problem 1. 793 2. 215 x 89 = 3. 417  19 517 + 385 Find an answer to each problem. 4. 2800 5. 173 6. 4,208  16 - 946 x 26 7. Find the Value of the expression: 3 ($2.50 - $1.00) + ($10.00 4). 8. Write the following numbers in order, from least to greatest. 3 .034 30% 2 4% 0.4 4 3 9. What percent of this pizza has been eaten? 6 Write <, > or + to compare each pair of numbers. 10. 3 21 11. 4 2 14 12. 2 4 2 11 3 3 5 15 8 48 Solve each Problem. 13. 2 ¾ 14. 2 x 3 15. 1  5 +1 ⅓ 3 5 4 8 16. Keisha bought sixteen cans of soda for a birthday party. Six of these are cans of cola. a. What fraction of the soda is cola (red)? = Red b. What is the ratio of cola to flavors that are not cola? Write <,>, or = to compare the pair of decimals. 17. 0.65 0.605 18. 0.329 0.48 19. 1.14 1.042 20. Which expression can be used to find the width of each board? Board 18” a. 18+ (3 x 0.375) d. 18-(3 x 0.375) 4 4 b. 18+ (3 x 0.375) e. 18 –(4 x 0.375) 3 4 c. 18- (3 x 0.375) 3 gap 0.375 7 6 th Grade 174 7 th Grade 156 8 th Grade 170 Solve each problem. 21. 5.08 22. 2.05 x 0.06 = 23. 2.842  1.4 = -2.92 24. The Clothes Tree is offering a 25% discount on all women’s sweaters. Including a 6% sales tax, what will Selena pay for a sweater that normally sells for $48.00? For problem 25 & 26, refer to the circle graph. 25. What percent of the students at Highland Middle School are in the 8 th grade? 26. Suppose that next year the enrollment at Highland Middle School increases by 20%. How many students will be enrolled at Highland next year? 27. What is the ratio of the amount that Jonathan saved in May to the amount he saved in January? (Reduce to lowest terms. If necessary) If Jonathan’s take-home pay is 1,500 per month, how much did he save during the 6 months shown on the graph? 30 25 20 15 10 5 0 Jan Feb Mar Apr May Jun 8 1. 1,695 2. 19,135 3. 21 R 18 4. 1,854 5. 4,498 6. 263 7. $ 7.00 ($4.50 + $2.50) 8. 4%, 30%, 0.34, 0.4, 2/3, ¾ 9. 62.5% 10. < 11. = 12. > 13. 4 – ½ 14. 2/5 15. 2/5 16. a. 3/8 (6/16) b. 3/5 or 3 to 5 (6/10) 17. > 18. < 19. > 20. d. 21. 2.16 22. 0.123 23. 2.03 24. $38.16 ($36.00+ $2.16) 25. 34% (170/500 x 100%) 26. 600 (500 + 100) 27. 5/3 (25/15) Answer Key 9 NEXT STEP: GO ON TO PRACTICE TESTS 1 AND 2. (Note: This page has space for portion and for overall test score.) Directions: 1) Take the portion of the test that follows. Label and do all work on front and back of same page as problem. 2) See pages 42-44 for answer key, to score portion. 3) Provide the following information hereon (page 10) for tutor- and selfevaluation: Total number of problems: 24 Add, subtract, multiply, divide, whole numbers Number correct: Multiply number correct X 100 = Divide by total number of problems = % Tutor will review for areas to work on in math. Areas to work on: , , , OVERALL MATH REVIEW SCORE Total number of problems (overall): 104 Number correct: Multiply number correct X 100 = Divide by total number of problems = % Tutor will review for areas to work on in math. Areas to work on: , , , Math Review 10 6 5 9 462 +133 595 Basic Addition and Subtraction Basic Addition Steps: 462+133 1. Line up digits according to place value. Check by: 595 2. Add the digits starting from right to left: - 133 Ones: 2 + 3 = 5 462 must be the answer Tens: 6 + 3 = 9 Hundreds: 4 + 1 = 5 Addition w/ Regrouping Steps: 835+559 1. Line up the digits according to place value. Check by: 1,394 2. Add: - 599 Ones: 5+9 = 14 835 must be the answer (carry the 1 to the tens place, which is one place to the left) Tens: 1+ 3+ 5= 9 Hundreds: 8+ 5= 13 Basic Subtraction Steps: 5,234 – 4,112 1. Line up the digits according to place value. Check by: 1,122 2. Subtract: +4,112 Ones: 4 – 2 = 2 5,234 must be the answer Tens: 3 – 1 = 2 Hundreds: 2 – 1 = 1 Thousands: 5 – 4 = 1 Subtraction with Regrouping Steps: 457 – 29 1. Line up the digits according to place value. Check by: 428 2. Subtract: + 29 Ones: 7 – 9 (must borrow 1 from the 5 457 must be the answer In the tens place) Tens 4 – 2 = 2 Hundreds: 4 – 0 = 4 Vocabulary: Digit: A numeral, (the number 7 is a digit). Place Value: Each digit in a number occupies a position – that position is called its place value. HESI Hints: 1 Ten = 10 ones 1 Hundred = 100 ones 1 Thousand = 1000 ones Now you try! 1. 1,803 + 156 = 2. 835 + 145 = 3. 1,372 + 139 4. 123 + 54 + 23 = 5. 673 – 241 = 6. 547 – 88 = 7. 222 – 114 = 8. 12,478 – 467 = 5,234 - 4,112 1,122Hundred Tens Ones 4 1 7 4 5 7 - 2 9 4 2 8 1 835 + 559 1394 11 Basic Multiplication (Whole Numbers) 23 X 5 Steps: 1. Multiply one digit at a time. 2. Multiply (5 X 23) Ones: 5 x 3 = 15 (carry the 1 to the tens place and write the 5 in the ones place) Tens: 5 x 2 = 10 + 1 = 11 623 X 45 Steps: 1. Multiply 623 X 5 5 x 3 = 15 5 x 2 = 10 + 1 (carried over)= 11 5 x 6 = 30 + 1 (carried over)= 31 (doesn’t need to be carried over) 2. Multiply 623 x 4 (remember to line up the ones digits with the four by using zero as the placeholder): 4 x 3 = 12 4 x 2 = 8 + 1 = 9 4 x 6 = 24 3. Add the two products together: 3,115 + 24,920 = 28,035 is the final product Vocabulary: Product: The answer to a multiplication problem. HESI Hints: Remember, the placeholders help keep the problem aligned. If you do not skip a space, the answer will be incorrect. Below is an example of a well-aligned problem. Note: Timetables are crucial for doing multiplication, division, fractions, etc. Please notify the tutor if you do not know timesheets by heart at least through 9 x 9. 623 x 45 3115 24,920 28,035 1 23 x 5 115 12 51 301 Steps: 1. Multiply 301 x 1 ➢ 1 x 1 = 1 ➢ 1 x 0 = 0 ➢ 1 x 3 = 3 2. Multiply 301 x 5 ➢ 5 x 1 = 5 ( remember to use a zero for a placeholder) ➢ 5 x 0 = 0 ➢ 5 x 3 = 15 3. Multiply 301 x 4 ➢ 4 x 1 = 4 ➢ 4 x 0 = 0 ➢ 4 x 3 = 12 4. Add the three products together: ➢ 301 + 15,050 + 120,400 = 135,751 is the final product 301 x 4 x 451 301 Now You Try! 15050 +120400 1. 846 x 7 = 135,751 2. 325 x 6 = 3. 653 x 12 = 4. 806 x 55 = 5. 795 x 14 = 6. 999 x 22 = 7. 582 x 325 = 8. 9,438 x 165 = 13 Basic Division (Whole Numbers) 40 8 = Steps: 1. Set up the problem. (Review the vocabulary section). 2. Use a series of multiplication and subtraction problems to solve a division problem. 3. 8 x ?= 40 Multiply: 8 x 5 = 40 Subtract: 40-40=0 The quotient (or answer) is 5 672 6 = Steps: 1. Set up the problem. 2. Begin with the hundreds place: o 6 x ?=6; we know 6 x 1 =6; Therefore, place the 1(quotient) above the 6 hundred (dividend). Place the other 6 under the hundred and subtract: 6-6=0 o Bring down the next number which is 7; 6 x ? = 7. There is no number that can be multiplied by six that will equal seven exactly, so try to get as close as possible without going over 7. Use 6x1=6 and set it up just like the last subtraction problem. 7-6 =1 o Bring down the 2 from the dividend which results in the number 12 (the 1 came from the remainder of 7- 6=1). o 6x?=12;?=2 The two becomes the next number in the quotient. 12- 12=0. There is not a remainder. o The quotient (or answer) is 112. Vocabulary Quotient: The answer to a division problem. Dividend: The number being divided. Divisor: The number by which the dividend is divided. HESI Hints: The 5 represents the divisor, the 45 represents the dividend, and the 9 represents the quotient. It is the best not to leave a division problem with a remainder, but to end it as a fraction or a decimal point instead. To make the problem into a decimal, just add a decimal point and zeros at the end of the dividend and continue. If a remainder continues to occur, round to the hundredths place. Example: 233.547→ 233.55 (the 7 rounds the 4 to a 5) Steps to Division 1. Division 2. Multiplication 3. Subtraction 4. Bring down