HESI ENTRANCE EXAMINATION STUDY GUIDE - MATHS

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

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Category | HESI |

Release date | 2021-09-07 |

Latest update | 2021-09-07 |

Pages | 195 |

Language | English |

Tags | HESI ENTRANCE EXAMINATION STUDY GUIDE - MATHS |

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