TEAS-style practice questions (all four sections): cram pack

Formula sheets, the key method steps for every topic and 16 practice problems, with full solutions at the back.

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1Formulas and methods

Reading comprehension (entrance exams)

Method

  1. Read the question first so you know what you are looking for.
  2. Skim the passage for its topic and main point; the first or last sentence often states it.
  3. Go back to the exact lines that answer the question.
  4. For inferences, choose the option the clues most strongly support, not one that goes further.
  5. For labels and tables, apply every rule that fits the case and do the small calculation carefully.

Pre-nursing math (entrance exam)

Order of operations
parentheses → exponents → × ÷ (left to right) → + − (left to right)
Fractions
a/b + c/d = (ad + bc)/bd, a/b × c/d = ac/bd, a/b ÷ c/d = a/b × d/c
Percent
p% of N = (p/100)·N; percent = part/whole × 100
Percent change
(new − original)/original × 100
Discount, then tax
price × (1 − d/100) × (1 + t/100)
Proportion
a/b = c/d → ad = bc
Mean, median, mode, range
sum/count; middle of ordered list; most frequent; max − min
Length, capacity, time
1 km = 1000 m, 1 m = 100 cm, 1 ft = 12 in, 1 yd = 3 ft, 1 mi = 5280 ft, 1 gal = 4 qt = 16 cups, 1 h = 60 min
Temperature
°F = °C·9/5 + 32, °C = (°F − 32)·5/9; a change of 1 °C = 1.8 °F
Area
rectangle l·w, triangle ½·b·h, circle π·r²
Perimeter and circumference
rectangle 2l + 2w, circle π·d = 2π·r
Volume
box l·w·h, cylinder π·r²·h; 1000 cm³ = 1 L
Speed
distance ÷ time (time in hours for mph or km/h)

Method

  1. Read the last sentence first: what exactly is asked, and in which unit or form (lowest terms, nearest cent, one decimal place)?
  2. Write the numbers in one form: turn mixed numbers into improper fractions, percents into decimals, and hours and minutes into one unit.
  3. Pick the method: PEMDAS for expressions, a common denominator for adding fractions, part ÷ whole × 100 for percents, cross-multiplying for proportions, inverse operations for equations.
  4. Work one step at a time and write each line down; round only at the very end.
  5. Check the size of the answer with an estimate, and put an equation’s answer back in.

Biology for nursing entrance exams

Method

  1. Name the topic of the question: cell parts, transport, division, DNA and protein synthesis, inheritance, biomolecules, microorganisms or experimental design.
  2. Recall the key rule: A–T and G–C, diffusion from high to low, water moves towards more solute, mitosis keeps and meiosis halves the chromosome number.
  3. For crosses, write the parents’ genotypes, list the gametes and fill a Punnett square before counting.
  4. For experiments, label the independent, dependent and controlled variables, and ask whether the evidence supports or only suggests the conclusion.
  5. Check each option against the question asked, not just whether it is a true statement.

Chemistry for nursing entrance exams

Method

  1. Identify what is given and asked: particles, a formula, a state change, a concentration, a pH or a mass.
  2. Use the periodic table: the atomic number gives protons, the group gives valence electrons and the usual ion charge.
  3. Balance equations with coefficients only, element by element, oxygen and hydrogen last.
  4. For amounts, go mass → moles → mole ratio → moles → mass, and for solutions use M = mol/L and C₁V₁ = C₂V₂.
  5. Remember that pH is logarithmic: one unit is a factor of 10.

English grammar & language usage (entrance exams)

Method

  1. Find the subject and the verb of the sentence before choosing a form.
  2. Strip away phrases (of the …, along with …) and extra people (you and …) to test agreement and pronoun case.
  3. Check each clause: can it stand alone? Join independent clauses with a comma + conjunction or a semicolon.
  4. Check modifiers and lists: the describing phrase next to its word, items in the same form.
  5. For word choice and register, pick the precise, formal and concise option.

Healthcare vocabulary (entrance exams)

Method

  1. Read the whole sentence and look for a context clue: a definition, a contrast, an example or a cause and effect.
  2. Split an unfamiliar word into prefix, root and suffix and translate each part.
  3. Read a medical term from the suffix back to the start (hepat-itis: inflammation of the liver).
  4. Put each option into the sentence and check that the meaning still fits.
  5. Choose the meaning used in this sentence, even if the word has another everyday meaning.

2Practice problems

1.Reading comprehension (entrance exams)Medium

“The vet told the Lees that their dog was overweight. She advised smaller meals, fewer treats and a longer walk each day.” What can you conclude about the vet’s advice?

  1. AIt aims to teach the dog new tricks.
  2. BIt aims to help the dog gain weight.
  3. CIt aims to help the dog lose weight.
  4. DIt aims to cure the dog’s fear of walks.
2.Reading comprehension (entrance exams)Hard

Paragraph A argues that hospitals should use more robots for routine tasks to free nurses for patient care. Paragraph B argues that robots cannot replace human comfort and judgement. On which point would both authors most likely agree?

  1. ARobots should do all hospital tasks.
  2. BHospitals should not change at all.
  3. CNurses spend too much time with patients and too little on paperwork.
  4. DHuman nurses play an important role in patient care.
3.Pre-nursing math (entrance exam)Medium

Solve for x: 9x + 1 = 19.

9x + 1 = 19
x =
4.Pre-nursing math (entrance exam)Hard

In a 50% off sale, a stethoscope costs $102.5. What was the original price x, in dollars?

$102.5−50%
x = $
5.Human anatomyMedium

Which type of epithelium lines most of the trachea?

  1. ATransitional epithelium
  2. BPseudostratified ciliated columnar epithelium
  3. CSimple cuboidal epithelium
  4. DStratified squamous epithelium
6.Human anatomyHard

In which part of the small intestine are vitamin B12 and bile salts mainly absorbed?

  1. ACaecum
  2. BDuodenum
  3. CTerminal ileum
  4. DJejunum
7.Human physiologyMedium

Why is the oxygen–haemoglobin dissociation curve S-shaped?

  1. ABinding of one oxygen makes the next bind more easily
  2. BRed cells change size as they take up oxygen
  3. CHaemoglobin can bind only one oxygen molecule
  4. DOxygen dissolves better in plasma at high partial pressure
8.Human physiologyHard

Which spirometry finding is typical of chronic obstructive pulmonary disease (COPD)?

  1. ANormal FEV1 with low FVC
  2. BIncreased peak expiratory flow
  3. CFEV1/FVC ratio below 0.7
  4. DFEV1/FVC ratio above 0.9 with low FVC
9.Biology for nursing entrance examsMedium

What is a bacterial endospore?

  1. AA reproductive cell that bacteria use to make new colonies quickly
  2. BA small ring of DNA that carries antibiotic resistance genes
  3. CA hair-like structure used to swim towards food
  4. DA tough, dormant form that survives heat, drying and many disinfectants
10.Biology for nursing entrance examsHard

In an onion root tip, 90 of 100 cells are in interphase and 10 are in mitosis. If the whole cell cycle takes 20 hours, about how long does mitosis last?

  1. A0.5 hours
  2. B2 hours
  3. C18 hours
  4. D10 hours
11.Chemistry for nursing entrance examsMedium

An exothermic reaction is at equilibrium. What happens if the temperature is raised?

  1. AThe equilibrium shifts toward the products, raising the yield
  2. BThe equilibrium shifts toward the reactants
  3. CThe equilibrium does not change
  4. DThe reaction becomes endothermic
12.Chemistry for nursing entrance examsHard

When water boils, what is overcome?

  1. AThe ionic bonds between H⁺ and O²⁻
  2. BHydrogen bonds between water molecules
  3. CThe forces holding the oxygen nucleus together
  4. DThe covalent O–H bonds inside each molecule
13.English grammar & language usage (entrance exams)Medium

Which sentence formats the book title correctly?

  1. AShe read “To Kill a Mockingbird” last summer.
  2. BShe read (To Kill a Mockingbird) last summer.
  3. CShe read To Kill a Mockingbird last summer.
  4. DShe read To Kill a Mockingbird last summer.
14.English grammar & language usage (entrance exams)Hard

Which sentence uses “whose” correctly?

  1. AThe student who’s book was lost asked for help.
  2. BWhose the student who lost the book?
  3. CThe student whose book was lost asked for help.
  4. DThe student whose going to help is here.
15.Healthcare vocabulary (entrance exams)Medium

Choose the meaning of the word in bold: “The pupils dilate in the dark.”

  1. AStop moving
  2. BChange colour
  3. CBecome smaller
  4. DBecome wider
16.Healthcare vocabulary (entrance exams)Hard

Choose the meaning of the word in bold: “Prophylactic antibiotics were given before surgery.”

  1. AGiven in unusually high doses
  2. BGiven to prevent disease
  3. CGiven only by injection
  4. DGiven to treat an existing infection

3Solutions

1.Reading comprehension (entrance exams)

Answer: C · It aims to help the dog lose weight.

Why this is the answer

The dog was overweight, and smaller meals, fewer treats and more exercise are ways to help it lose weight.

Answer

C · It aims to help the dog lose weight.
2.Reading comprehension (entrance exams)

Answer: D · Human nurses play an important role in patient care.

Why this is the answer

Paragraph A wants to free nurses for patient care, and Paragraph B values human comfort and judgement; both see nurses as important.

Answer

D · Human nurses play an important role in patient care.
3.Pre-nursing math (entrance exam)

Answer: x = 2

Solving equations: do the same thing to both sides until x stands alone. Undo operations in reverse order: first undo addition or subtraction, then multiplication or division. Clear parentheses with the distributive property, a(x + b) = ax + ab, and collect the x terms on one side. Check the answer by substituting it back.

Subtract 1 from both sides.

9x = 18

Divide both sides by 9.

x = 2

Check

9·2 + 1 = 19

Answer

x = 2
4.Pre-nursing math (entrance exam)

Answer: x = 205 $

Reverse percentages: when a value has already been increased or decreased by a percent, the new value is a percent of the original, not the other way round. After a 20% discount the price is 80% of the original, so original = new price ÷ 0.80. Never add the 20% back on to the new price.

Set up the equation

0.5 · x = 102.5

Solve

x = 102.5/0.5 = $205.00

Answer

x = $205.00
5.Human anatomy

Answer: B · Pseudostratified ciliated columnar epithelium

Why this is the answer

Respiratory epithelium is pseudostratified ciliated columnar with goblet cells. Mucus traps particles and cilia move it up towards the pharynx.

Answer

B · Pseudostratified ciliated columnar epithelium
6.Human anatomy

Answer: C · Terminal ileum

Why this is the answer

The terminal ileum absorbs vitamin B12 (bound to intrinsic factor) and reabsorbs bile salts. The duodenum mainly absorbs iron.

Answer

C · Terminal ileum
7.Human physiology

Answer: A · Binding of one oxygen makes the next bind more easily

Why this is the answer

Haemoglobin shows cooperative binding: each bound O₂ increases the affinity of the remaining sites, giving a sigmoid curve.

Answer

A · Binding of one oxygen makes the next bind more easily
8.Human physiology

Answer: C · FEV1/FVC ratio below 0.7

Why this is the answer

Narrowed airways slow expiration, so FEV1 falls more than FVC and the ratio drops below 0.7. In COPD this is not fully reversed by bronchodilators.

Answer

C · FEV1/FVC ratio below 0.7
9.Biology for nursing entrance exams

Answer: D · A tough, dormant form that survives heat, drying and many disinfectants

Why this is the answer

Some bacteria, such as Clostridium and Bacillus, form endospores to survive harsh conditions. Spores resist boiling and alcohol, which is why sterilisation methods such as autoclaving are needed to kill them.

Answer

D · A tough, dormant form that survives heat, drying and many disinfectants
10.Biology for nursing entrance exams

Answer: B · 2 hours

Why this is the answer

10% of the cells are in mitosis, so mitosis takes about 10% of the cycle: 0.10 × 20 h = 2 hours. Interphase takes about 18 hours.

Answer

B · 2 hours
11.Chemistry for nursing entrance exams

Answer: B · The equilibrium shifts toward the reactants

Why this is the answer

For an exothermic reaction, heat is like a product. Adding heat shifts the equilibrium backward to absorb it, so the yield of products falls.

Answer

B · The equilibrium shifts toward the reactants
12.Chemistry for nursing entrance exams

Answer: B · Hydrogen bonds between water molecules

Why this is the answer

Boiling is a physical change: molecules separate from each other, but each H₂O molecule stays intact. Only the intermolecular attractions (mainly hydrogen bonds) are overcome, not the covalent bonds within molecules.

Answer

B · Hydrogen bonds between water molecules
13.English grammar & language usage (entrance exams)

Answer: C · She read To Kill a Mockingbird last summer.

Why this is the answer

Titles of books are italicised in typed text. Quotation marks are for short works such as poems and articles.

Answer

C · She read To Kill a Mockingbird last summer.
14.English grammar & language usage (entrance exams)

Answer: C · The student whose book was lost asked for help.

Why this is the answer

“Whose” shows possession. In the other sentences “who’s” or “who is” would be needed, or the possessive is wrongly contracted.

Answer

C · The student whose book was lost asked for help.
15.Healthcare vocabulary (entrance exams)

Answer: D · Become wider

Why this is the answer

To dilate is to widen or open up; pupils dilate to let in more light.

Answer

D · Become wider
16.Healthcare vocabulary (entrance exams)

Answer: B · Given to prevent disease

Why this is the answer

Prophylactic means preventive; prophylactic antibiotics lower the risk of infection after surgery.

Answer

B · Given to prevent disease

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