Comprehensive HESI A2 Practice Test Study Guide and Rationales
Mathematics Section
Problem 1: Evaluate the expression to the nearest hundredth:
Options: A. , B. , C. , D.
Answer: D.
Rationale: Evaluating the expression determines the solution to be , which may be rounded to . (See Lesson: Basic Multiplication and Division).
Problem 2: Write as a percent.
Options: A. , B. , C. , D.
Answer: C.
Rationale: The correct answer is (Note: The option C is provided as in the question but rationale states ) because as a percent is . (See Lesson: Decimals and Fractions).
Problem 3:
Options: A. , B. , C. , D.
Answer: D.
Rationale: The rationale provided contains a typo regarding the initial fractions (stating ), but identifies the solution related to the denominator . (See Lesson: Addition and Subtraction of Fractions).
Problem 4: Which percent is closest to the ratio ?
Options: A. , B. , C. , D.
Answer: D.
Rationale: To convert a ratio to a percent, divide the numbers () to get approximately . Then, multiply by . (See Lesson: Ratios, Proportions, and Percentages).
Problem 5: Kendra spends a month for basic needs. She is paid twice a month and receives a paycheck. How much of her monthly income should she set aside for basic needs?
Options: A. , B. , C. , D.
Answer: A.
Rationale: Kendra earns a month (\525 \times 2 = \). Since she spends on basic needs, the fraction is . (See Lesson: Decimals and Fractions).
Problem 6: Solve for in the value .
Options: A. , B. , C. , D.
Answer: B.
Rationale: The expression can be rewritten as . Using cross multiplication: . (See Lesson: Ratios, Proportions, and Percentages).
Problem 7: The number is what percent of ?
Options: A. , B. , C. , D.
Answer: D.
Rationale: The fraction is equal to , which is . (See Lesson: Ratios, Proportions, and Percentages).
Problem 8: Solve for :
Options: A. , B. , C. , D.
Answer: A.
Rationale: Subtract from both sides (), then divide both sides by (). (See Lesson: Equations with One Variable).
Problem 9: Convert ounces to tons.
Options: A. , B. , C. , D.
Answer: A.
Rationale: . (See Lesson: Standards of Measure).
Problem 10: Evaluate the expression:
Options: A. , B. , C. , D.
Answer: B.
Rationale: Use PEMDAS order of operations: , then , then . (See Lesson: Basic Multiplication and Division).
Problem 11: Write as a percent:
Options: A. , B. , C. , D.
Answer: B.
Rationale: as a percent is . (See Lesson: Decimals and Fractions).
Problem 12: Identify in military time.
Options: A. , B. , C. , D.
Answer: C.
Rationale: converts to hours, and minutes past the hour results in . (See Lesson: Standards of Measure).
Problem 13: What temperature is on the Celsius scale?
Options: A. , B. , C. , D.
Answer: D.
Rationale: Using the formula . . (See Lesson: Standards of Measure).
Problem 14:
Options: A. , B. , C. , D.
Answer: B.
Rationale: . (See Lesson: Addition and Subtraction of Fractions).
Problem 15: Change to a decimal.
Options: A. , B. , C. , D.
Answer: C.
Rationale: . Adding this to results in . (See Lesson: Decimals and Fractions).
Problem 16:
Options: A. , B. , C. , D.
Answer: C.
Rationale: Convert to improper fractions: . (See Lesson: Multiplication and Division of Fractions).
Problem 17: If and , solve .
Options: A. , B. , C. , D.
Answer: D.
Rationale: . (See Lesson: Equations with One Variable).
Problem 18: Convert to pounds.
Options: A. , B. , C. , D.
Answer: C.
Rationale: . (See Lesson: Standards of Measure).
Problem 19: Convert a medical dose to milligrams.
Options: A. , B. , C. , D.
Answer: C.
Rationale: One gram equals , so . (See Lesson: Solving Real World Mathematical Problems).
Problem 20: Evaluate the expression:
Options: A. , B. , C. , D.
Answer: C.
Rationale: Solve parentheses first (), then exponent (). Expression: . (See Lesson: Basic Multiplication and Division).
Problem 21: Solve for :
Options: A. , B. , C. , D.
Answer: C.
Rationale: Subtract (). Divide by (). (See Lesson: Equations with One Variable).
Problem 22: Justin works hours at one job and hours at another. What portion of a -day week is spent at work?
Options: A. , B. , C. , D.
Answer: B.
Rationale: Total work hours = . Total hours in a week = . Fraction . (See Lesson: Decimals and Fractions).
Problem 23: Solve for :
Options: A. , B. , C. , D.
Answer: A.
Rationale: Rewrite as . Cross multiply: . (See Lesson: Ratios, Proportions, and Percentages).
Problem 24: Evaluate when and .
Options: A. , B. , C. , D.
Answer: D.
Rationale: . (See Lesson: Equations with One Variable).
Problem 25: The number is of what value?
Options: A. , B. , C. , D.
Answer: D.
Rationale: . (See Lesson: Ratios, Proportions, and Percentages).
Problem 26: Convert to quarts.
Options: A. , B. , C. , D.
Answer: C.
Rationale: . (See Lesson: Standards of Measure).
Problem 27: What is of ?
Options: A. , B. , C. , D.
Answer: B.
Rationale: . (See Lesson: Ratios, Proportions, and Percentages).
Problem 28: A builder has boxes of screws each. He needs screws. What portion of total screws will he use?
Options: A. , B. , C. , D.
Answer: A.
Rationale: Total screws = . Fraction . (See Lesson: Decimals and Fractions).
Problem 29: Identify in military time.
Options: A. , B. , C. , D.
Answer: D.
Rationale: is hours. Adding minutes and seconds gives . (See Lesson: Standards of Measure).
Problem 30: (Note: The transcript on page 4 shows Problem 30 as , but rationale on page 27 explains it as . Check rationale logic)
Rationale Strategy: is referenced as resulted in . The text provided in rationale 30 suggests using the denominator . (See Lesson: Addition and Subtraction of Fractions).
Problem 31: If out of every people contract a disease, what percent is that?
Options: A. , B. , C. , D.
Answer: B.
Rationale: . Multiply by to get . (See Lesson: Ratios, Proportions, and Percentages).
Problem 32: Evaluate .
Options: A. , B. , C. , D.
Answer: D.
Rationale: Paranthesis: . Exponent: . Expression: . (See Lesson: Basic Multiplication and Division).
Problem 33: A pharmacist needs of medicine in pills. How many pills are needed?
Options: A. , B. , C. , D.
Answer: B.
Rationale: . . (See Lesson: Solving Real World Mathematical Problems).
Problem 34: Solve for :
Options: A. , B. , C. , D.
Answer: D.
Rationale: . . (See Lesson: Ratios, Proportions, and Percentages).
Problem 35: A nurse earns /hr and for overtime. She works regular hours and overtime hours. What is her paycheck?
Options: A. , B. , C. , D.
Answer: D.
Rationale: Regular pay: . Overtime rate: \21 \times 1.14 = \. Overtime pay: . Total: . (See Lesson: Decimals and Fractions).
Problem 36:
Answer Logic: . (Note: Choice D reflects the value in the logic). (See Lesson: Multiplication and Division of Fractions).
Problem 37: What is out of as a percent?
Options: A. , B. , C. , D.
Answer: A.
Rationale: . (See Lesson: Ratios, Proportions, and Percentages).
Problem 38: Evaluate .
Options: A. , B. , C. , D.
Answer: A.
Rationale: Multiplication yields . (See Lesson: Basic Multiplication and Division).
Problem 39: What is the product of and ?
Answer Logic: Ratios act as fractions, so . (See Lesson: Ratios, Proportions, and Percentages).
Problem 40: Solve .
Options: A. , B. , C. , D.
Answer: B.
Rationale: . (See Lesson: Equations with One Variable).
Problem 41: Convert to inches.
Options: A. , B. , C. , D.
Answer: A.
Rationale: . (See Lesson: Standards of Measure).
Problem 42:
Answer Logic: . Option D provides this result. (See Lesson: Multiplication and Division of Fractions).
Problem 43: What is of ?
Options: A. , B. , C. , D.
Answer: C.
Rationale: . (See Lesson: Ratios, Proportions, and Percentages).
Problem 44: in Fahrenheit.
Answer Logic: . , rounded to . Choice B. (See Lesson: Standards of Measure).
Problem 45: Evaluate .
Answer Logic: Result is . Choice B. (See Lesson: Basic Multiplication and Division).
Problem 48: A nurse administers medicine/hour until total . How many doses?
Answer Logic: . . Choice D. (See Lesson: Solving Real World Mathematical Problems).
Problem 49: What is in -hour time?
Answer Logic: Choice A. (See Lesson: Standards of Measure).
Problem 50: Evaluate when and .
Answer Logic: . Choice A. (See Lesson: Equations with One Variable).
Reading Comprehension Section
Passages and Topics
Passage: WiseWear Advertisement
"WiseWear gear provides you with cutting-edge technology to enhance your performance and optimize your training… WiseWear clothing is made with high-tech synthetic compression fabrics to promote circulation and wick away sweat… Top-level pro athletes, like ultra-marathoner Uri Schmidt, rely on WiseWear."
Purpose: Persuade (advertisement).
Strategy: Associates products with admired athletes (Uri Schmidt) to appeal to emotions.
Fact vs. Opinion: Sensors tracking signals is a factual claim; "most comfortable" is subjective/opinion.
Passage: Global Temperature Change
"A global temperature change of a few degrees is more significant than it may seem… relatively small changes… have historically caused enormous changes in climate. In the last ice age 20,000 years ago… mean global temperatures were only about five degrees Celsius lower than they are now."
Topic: Global temperature change.
Topic Sentence: The first sentence (Global temperature change is significant).
Supporting Detail: Information about the last ice age temperature differences.
Passage: Prison Nurseries
"The idea of raising children in prison is controversial, but well-run prison nursery programs can actually be beneficial… Women who were allowed to remain with their infants during prison sentences were less likely to be convicted of another crime…"
Primary Argument: Letting imprisoned mothers keep their babies can be helpful.
Fact vs. Opinion: "Mothers… reported better mental health" is a fact because it reports verifiable information about how they stated they felt.
Faulty Reasoning: Suggesting a cause-and-effect relationship between nursery programs and lower recidivism without proving it explicitly.
Passage: Dr. Hussein and Liz Goode (Embryonic Research)
Dr. Kingston Hussein (Dampson Crockett Institute) advocates for reflection and dialogue on ethical ramifications. Liz Goode (The Center for Ethical and Dignified Humanity) opposes research, describing researchers as wanting to "get rich selling designer babies."
Tone: Dr. Hussein is earnest; Liz Goode is harsh/scathing; the author is objective.
Transition: "On the contrary" is used to juxtapose dissimilar ideas regarding Dr. Hussein's requested contact with Goode.
Key Concepts & Definitions
Argument: In reading and writing, it is a persuasive point in a text, not an angry conversation.
Primary Source: Written by people who witnessed the original discovery/creation (e.g., field notes, conference presentations). Encyclopedia entries are not primary sources.
Credible: Information readers can trust; determined by impartiality and recent/reputable publication.
Tone: The author's attitude toward the subject.
Mood: The reader's emotional response.
Transition Words:
Contrast: "Despite", "On the contrary".
Addition: "Furthermore".
Example: "For instance".
Graphic Elements Knowledge
Pie Charts: Show percentage portions of a whole (e.g., male vs female speaking time).
Bar Graphs: Show relationships between numbers (e.g., comparing number of interruptions between genders).
Flowcharts: Illustrate a sequence or decision-making process (e.g., "I'm Hungry" chart starting with "Look in the kitchen").
Vocabulary and General Knowledge Section
Medical and Domain-Specific Terminology
Pericardium: Prefix (around) + (heart) = Membrane around the heart.
Rhinoplasty: Root (nose) + (surgical repair).
Encephalitis: Inflammation () of the brain ().
Hypodermic: Prefix (under) + root (skin) = Under the skin.
Hypoglycemia: Low blood sugar.
Nephralgia: Kidney () + pain ().
Phleb: Root meaning veins.
Enter: Root meaning small intestines.
Intravenous: Inside the vein.
Oste: Root word for bones.
Word Meanings and Context Clues
Superlative: Magnificent; prefix means over/above.
Intransigent: Stubborn; prefix (not) + (across) = unwilling to cross/bend.
Infamous: Notorious; well-known for something bad.
Novice: Beginner.
Garish: Glaring; showy.
Benevolent: Kind ( = good).
Somnambulist: Sleepwalker.
Exuberant: Cheerful.
Fluctuate: Change.
Cantankerous: Irritable.
Roots, Prefixes, and Suffixes
-stasis: To stop or control.
-sclerosis: Hardening of.
-oma: Swelling or tumor.
-logy: The study of.
-ist: Person who practices.
-ian: Belonging to.
-ible: Capable of.
-en: Made of.
mono-: One.
poly-: Many.
post-: After.
tele-: Far.
ped-: Foot.
dict-: To say.
rupt-: To break.
ject-: To throw.
therm-: Heat.
Anatomy & Physiology Section
General Principles
Directional Terms: The knee is proximal to the foot (closer to the point of attachment to the trunk).
Feedback Mechanisms: Maintenance of normal blood sugar and blood pressure are negative-feedback mechanisms.
Homeostasis: The body's maintenance of stable internal conditions.
Cardiovascular and Respiratory Systems
Electrocardiogram (ECG): Purpose is to display the heart's rate and rhythm.
QRS Complex: Associated with ventricle systole (ventricular contraction).
P Wave: Atrial depolarization.
T Wave: Ventricular repolarization.
Blood Flow: Oxygen-rich blood leaves the left side of the heart to enter systemic circulation.
Gastrointestinal System
Peptidase: An enzyme produced in the pancreas and secreted into the small intestine to complete protein digestion (breaks peptides into amino acids).
Rugae: The lining of the stomach covered in folds that increase surface area of the stomach interior.
Reproductive and Urinary Systems
Reproductive Anatomy:
Semen: Primarily formed in the male accessory glands (seminal vesicles, prostate, Cowper glands).
Vulva: External female components (clitoris, labia majora, vaginal opening). The cervix is internal.
Urination:
Kidneys: Roughly of blood flow through the kidneys daily.
Glomerular Filtrate: Increases the concentration of urine in the collecting ducts; first step where water and solutes are reabsorbed.
Skeletal, Muscular, and Integumentary Systems
Skeletal: Bones act as a mineral reservoir for calcium (*) and phosphorus (*). The vertebral column protects the spinal cord. (Note: Rationale references specific percentages and in transcript).
Muscular:
Actin: Thin filament that attaches to the Z-line.
Sliding Filament Process: Driven by ATP to reenergize myosin heads.
Sarcoplasmic Reticulum: Houses calcium ions; decreased calcium here leads to poor contractility.
Integumentary:
Sebaceous Glands: Pores/openings in the stratum corneum (outermost layer).
Basal Cell Carcinoma: Affects the stratum basale (innermost epidermal layer), where cells reproduce and invade the dermis.
Nervous and Endocrine Systems
Nervous:
Sensory Nerves: Responsible for initially perceiving information like smell from the environment.
Neurotransmitters: Substances that bind to receptors on postsynaptic membranes to stimulate neuron excitation.
Endocrine:
Primary Functions: Include blood glucose control.
Neuromodulators: intercellular signals like acetylcholine, produced in stressful situations to aid the nervous system.
Lymphatic System
B Cells: Label invaders for later destruction by macrophages.
Antibodies: Attach to pathogens, marking them for destruction.