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

Falls are a common cause of injury in older adults. Removing loose rugs, adding bright lights on stairs and installing grab bars in the bathroom can make a home safer. What is the main purpose of the passage?

  1. ATo explain how bones heal after a fall
  2. BTo suggest ways to prevent falls at home
  3. CTo argue that older adults need carers
  4. DTo describe the design of modern bathrooms
2.Reading comprehension (entrance exams)Hard

“Critics called the plan reckless, but the mayor pointed to three nearby cities where the same plan had cut traffic by a fifth.” How does the mayor support the plan?

  1. ABy promising to cancel the plan
  2. BBy attacking the critics personally
  3. CBy giving examples of where the plan has worked
  4. DBy admitting that the plan is reckless
3.Pre-nursing math (entrance exam)Medium

Solve for x: 4x − 6 = −38.

4x − 6 = −38
x =
4.Pre-nursing math (entrance exam)Hard

A recipe uses 6 cups of flour for 4 batches of muffins. At the same rate, how many cups of flour x are needed for 7 batches?

6 : 4x : 7
x = cups
5.Human anatomyMedium

Which type of epithelium lines most of the trachea?

  1. ATransitional epithelium
  2. BPseudostratified ciliated columnar epithelium
  3. CStratified squamous epithelium
  4. DSimple cuboidal epithelium
6.Human anatomyHard

A tumour at the apex of the lung causes drooping of the eyelid, a small pupil and loss of sweating on the same side of the face. Which pathway is disrupted?

  1. AOculomotor nerve
  2. BCervical sympathetic chain
  3. CFacial nerve
  4. DParasympathetic fibres of the vagus
7.Human physiologyMedium

Which receptors respond mainly to a fall in arterial oxygen levels?

  1. APeripheral chemoreceptors in the carotid and aortic bodies
  2. BCentral chemoreceptors in the medulla
  3. CStretch receptors in the lungs
  4. DBaroreceptors in the carotid sinus
8.Human physiologyHard

A healthy person stands up quickly after lying down. Which reflex response prevents fainting?

  1. AADH release immediately doubles blood volume
  2. BThe Bainbridge reflex lowers heart rate
  3. CThe baroreceptor reflex raises heart rate and vasoconstriction
  4. DThe chemoreceptor reflex raises breathing rate and arterial oxygen levels
9.Biology for nursing entrance examsMedium

The human arm, bat wing and whale flipper contain the same set of bones. What does this suggest?

  1. AThey share a common ancestor
  2. BThey evolved completely separately
  3. CThey are the result of acquired traits
  4. DThey have the same function
10.Biology for nursing entrance examsHard

At 100× total magnification, the field of view of a microscope is 2 mm wide. What is its width at 400×?

  1. A8 mm
  2. B0.5 mm
  3. C0.2 mm
  4. D2 mm
11.Chemistry for nursing entrance examsMedium

A magnesium atom loses two electrons. What is the ion formed?

  1. AMg⁻
  2. BMg²⁺
  3. CMg⁺
  4. DMg²⁻
12.Chemistry for nursing entrance examsHard

Why does atomic radius decrease from left to right across a period?

  1. AMore protons pull the electrons of the same outer shell closer
  2. BEach element adds a new electron shell
  3. CNeutrons push the electrons outward less strongly
  4. DThe atoms lose electrons across the period
13.English grammar & language usage (entrance exams)Medium

Choose the correct form: “She could ___ called earlier.”

  1. Ahas
  2. Bof
  3. Chave
  4. Dhad
14.English grammar & language usage (entrance exams)Hard

Choose the best transition: “Some foods are rich in iron. ___, spinach and lentils contain a lot of it.”

  1. ANevertheless
  2. BIn contrast
  3. CAs a result
  4. DFor instance
15.Healthcare vocabulary (entrance exams)Medium

Choose the meaning of the word in bold: “The nurse will auscultate the patient’s lungs.”

  1. AExamine by pressing with the hands
  2. BListen to with a stethoscope
  3. CExamine by tapping
  4. DLook at closely under a light
16.Healthcare vocabulary (entrance exams)Hard

Choose the meaning of the word in bold: “The patient’s condition began to deteriorate overnight.”

  1. AImprove slowly but steadily
  2. BRemain the same
  3. CBecome hidden
  4. DGrow steadily worse

3Solutions

1.Reading comprehension (entrance exams)

Answer: B · To suggest ways to prevent falls at home

Why this is the answer

The passage names fall risks and lists changes that make a home safer, so its purpose is to suggest ways to prevent falls.

Answer

B · To suggest ways to prevent falls at home
2.Reading comprehension (entrance exams)

Answer: C · By giving examples of where the plan has worked

Why this is the answer

The mayor uses evidence from other cities where the plan reduced traffic.

Answer

C · By giving examples of where the plan has worked
3.Pre-nursing math (entrance exam)

Answer: x = −8

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.

Add 6 to both sides.

4x = −32

Divide both sides by 4.

x = −8

Check

4·(−8) − 6 = −38

Answer

x = −8
4.Pre-nursing math (entrance exam)

Answer: x = 10.5 cups

Ratios and proportions: a ratio a : b compares two amounts. In a proportion two ratios are equal, a/b = c/d, and you solve it by cross-multiplying: a·d = b·c. To share an amount in the ratio m : n, divide it into m + n equal parts; one share is m parts, the other n parts.

Proportion

6/4 = x/7

Cross-multiply and solve

4·x = 42
x = 42/4 = 10.5 cups

Answer

x = 10.5 cups
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: B · Cervical sympathetic chain

Why this is the answer

This is Horner's syndrome: ptosis, miosis and anhidrosis from interruption of sympathetic fibres, here by an apical (Pancoast) tumour pressing on the sympathetic chain.

Answer

B · Cervical sympathetic chain
7.Human physiology

Answer: A · Peripheral chemoreceptors in the carotid and aortic bodies

Why this is the answer

The carotid and aortic bodies detect low PaO₂ (and also high CO₂ and H⁺). The central chemoreceptors respond to CO₂ but not directly to oxygen.

Answer

A · Peripheral chemoreceptors in the carotid and aortic bodies
8.Human physiology

Answer: C · The baroreceptor reflex raises heart rate and vasoconstriction

Why this is the answer

Blood pools in the legs and pressure falls; baroreceptors fire less, which increases sympathetic and decreases vagal activity within seconds, raising heart rate and vascular tone.

Answer

C · The baroreceptor reflex raises heart rate and vasoconstriction
9.Biology for nursing entrance exams

Answer: A · They share a common ancestor

Why this is the answer

Homologous structures have the same basic plan because they were inherited from a common ancestor, even if they now do different jobs. They are evidence of evolution.

Answer

A · They share a common ancestor
10.Biology for nursing entrance exams

Answer: B · 0.5 mm

Why this is the answer

Magnification increases 4 times (100× to 400×), so the field of view becomes 4 times narrower: 2 mm ÷ 4 = 0.5 mm.

Answer

B · 0.5 mm
11.Chemistry for nursing entrance exams

Answer: B · Mg²⁺

Why this is the answer

Losing two electrons leaves two more protons than electrons, giving a 2+ charge. Group 2 metals form 2+ ions.

Answer

B · Mg²⁺
12.Chemistry for nursing entrance exams

Answer: A · More protons pull the electrons of the same outer shell closer

Why this is the answer

Across a period, each element has one more proton but its outer electrons are in the same shell with similar shielding. The stronger nuclear charge pulls the electrons in, so the atom gets smaller.

Answer

A · More protons pull the electrons of the same outer shell closer
13.English grammar & language usage (entrance exams)

Answer: C · have

Why this is the answer

“Could have” (could’ve) + past participle is correct. “Could of” is a common error that comes from how “could’ve” sounds.

Answer

C · have
14.English grammar & language usage (entrance exams)

Answer: D · For instance

Why this is the answer

“For instance” introduces examples that support the previous statement. The other transitions show contrast or cause and effect.

Answer

D · For instance
15.Healthcare vocabulary (entrance exams)

Answer: B · Listen to with a stethoscope

Why this is the answer

To auscultate is to listen to body sounds, usually with a stethoscope.

Answer

B · Listen to with a stethoscope
16.Healthcare vocabulary (entrance exams)

Answer: D · Grow steadily worse

Why this is the answer

To deteriorate is to become progressively worse in condition or quality.

Answer

D · Grow steadily worse

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