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

“Last summer, the town held its first food festival. More than 5000 people came, and the local restaurants sold out of food by evening. The mayor has already announced a second festival for next year.” Why most likely did the mayor announce a second festival?

  1. AFew people came to the first festival.
  2. BThe restaurants asked to close for the summer.
  3. CThe first festival was a big success.
  4. DThe town wanted to replace its restaurants.
2.Reading comprehension (entrance exams)Hard

“By 1900, cities were growing fast. Factories drew workers from farms, and crowded housing led to the spread of disease.” Which cause-and-effect chain does the passage describe?

  1. AFarms grew larger, so fewer people lived in the growing cities.
  2. BDisease spread, so workers moved from cities to farms.
  3. CFactories brought workers, crowding followed, disease spread.
  4. DHousing improved, so diseases became much less common.
3.Pre-nursing math (entrance exam)Medium

Two volunteers share $240 in the ratio 7 : 3. How much x does the person with the larger share get, in dollars?

$2407 : 3
x = $
4.Pre-nursing math (entrance exam)Hard

Overnight the temperature fell by 18 °F. By how many degrees Celsius Δ did it fall?

Δ = 18 °F
Δ = °C
5.Human anatomyMedium

Which structure connects the middle ear to the nasopharynx?

  1. AExternal acoustic meatus
  2. BNasolacrimal duct
  3. CAuditory (Eustachian) tube
  4. DCochlear duct
6.Human anatomyHard

A patient cannot abduct the arm beyond about 15° after a fracture of the surgical neck of the humerus, and has numbness over the lateral shoulder. Which nerve is most likely injured?

  1. ALong thoracic nerve
  2. BAxillary nerve
  3. CRadial nerve
  4. DSuprascapular nerve
7.Human physiologyMedium

Why do myelinated axons conduct action potentials faster than unmyelinated ones?

  1. AThe impulse jumps between nodes of Ranvier
  2. BMyelin makes the axon thinner
  3. CMyelin contains more sodium channels
  4. DMyelin releases neurotransmitter along the axon
8.Human physiologyHard

Why does breathing 100% oxygen correct hypoxaemia from a true right-to-left shunt only poorly?

  1. AThe extra oxygen is all exhaled as CO₂
  2. BPure oxygen damages haemoglobin
  3. CShunted blood is already fully saturated
  4. DThe shunted blood never comes into contact with alveolar gas
9.Biology for nursing entrance examsMedium

Yeast in bread dough breaks down sugar without oxygen. What does it produce?

  1. AGlucose and oxygen
  2. BOxygen and water
  3. CLactic acid and carbon dioxide
  4. DEthanol and carbon dioxide
10.Biology for nursing entrance examsHard

Two parents are both carriers of cystic fibrosis, an autosomal recessive disorder. They have three children. What is the probability that none of the three is affected?

  1. A1/64
  2. B3/4
  3. C27/64
  4. D9/16
11.Chemistry for nursing entrance examsMedium

When diluting a concentrated acid, which method is safe?

  1. AAdd the acid slowly to the water
  2. BAdd the water slowly to the acid
  3. CAdd the water quickly to the acid
  4. DMix them in any order, as long as it is fast
12.Chemistry for nursing entrance examsHard

A solution of acetic acid conducts electricity only weakly, while hydrochloric acid of the same concentration conducts strongly. Why?

  1. AAcetic acid only partly ionises, so it forms fewer ions
  2. BAcetic acid forms more ions than hydrochloric acid does
  3. CAcetic acid does not dissolve in water at all
  4. DHydrochloric acid contains metal atoms
13.English grammar & language usage (entrance exams)Medium

Choose the correct word: “The nurse will ___ the family about home care.”

  1. Acouncel
  2. Bconsul
  3. Ccouncil
  4. Dcounsel
14.English grammar & language usage (entrance exams)Hard

Which sentence is the best topic sentence for a paragraph about the benefits of sleep for students?

  1. ASleep is a word that has been used for centuries.
  2. BThere are many reasons why, which will now be discussed.
  3. CGetting enough sleep helps students learn and remember new material.
  4. DSome students live in dormitories near their classrooms.
15.Healthcare vocabulary (entrance exams)Medium

Choose the meaning of the word in bold: “Use the appropriate size of cuff when measuring blood pressure.”

  1. ASuitable
  2. BCheapest
  3. CNewest
  4. DLargest
16.Healthcare vocabulary (entrance exams)Hard

Which word means “the formation of blood cells”?

  1. AHaemoptysis
  2. BHaemostasis
  3. CHaematopoiesis
  4. DHaemolysis

3Solutions

1.Reading comprehension (entrance exams)

Answer: C · The first festival was a big success.

Why this is the answer

Large crowds and sold-out restaurants show the festival was successful, which is the likely reason for holding another.

Answer

C · The first festival was a big success.
2.Reading comprehension (entrance exams)

Answer: C · Factories brought workers, crowding followed, disease spread.

Why this is the answer

Factories attracted workers to cities, which caused crowded housing, which in turn helped disease spread.

Answer

C · Factories brought workers, crowding followed, disease spread.
3.Pre-nursing math (entrance exam)

Answer: x = 168 $

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.

Value of one part

240/(7 + 3) = 24

Larger share

x = 7 × 24 = $168.00

Answer

x = $168.00
4.Pre-nursing math (entrance exam)

Answer: Δ = 10 °C

Temperature scales: °F = °C × 9/5 + 32 and °C = (°F − 32) × 5/9. A temperature change converts without the 32, because the 32 only shifts the zero point: a change of 1 °C is a change of 1.8 °F.

Change only: no 32

Δ = 18 × 5/9 = 10 °C

Answer

Δ = 10 °C
5.Human anatomy

Answer: C · Auditory (Eustachian) tube

Why this is the answer

The auditory tube equalises air pressure on both sides of the eardrum. In children it is shorter and more horizontal, which favours middle ear infections.

Answer

C · Auditory (Eustachian) tube
6.Human anatomy

Answer: B · Axillary nerve

Why this is the answer

The axillary nerve wraps around the surgical neck of the humerus. It supplies deltoid and teres minor and the skin over the lateral shoulder ("regimental badge" area).

Answer

B · Axillary nerve
7.Human physiology

Answer: A · The impulse jumps between nodes of Ranvier

Why this is the answer

Myelin insulates the axon, so action potentials are only generated at the nodes of Ranvier. This saltatory conduction is much faster.

Answer

A · The impulse jumps between nodes of Ranvier
8.Human physiology

Answer: D · The shunted blood never comes into contact with alveolar gas

Why this is the answer

Shunted blood bypasses ventilated alveoli and mixes deoxygenated blood into arterial blood. Extra inspired oxygen cannot reach it, unlike in V/Q mismatch or hypoventilation.

Answer

D · The shunted blood never comes into contact with alveolar gas
9.Biology for nursing entrance exams

Answer: D · Ethanol and carbon dioxide

Why this is the answer

Yeast carries out alcoholic fermentation, turning pyruvate into ethanol and carbon dioxide. The CO₂ makes bread rise, and the ethanol evaporates during baking. Human muscle cells make lactic acid instead.

Answer

D · Ethanol and carbon dioxide
10.Biology for nursing entrance exams

Answer: C · 27/64

Why this is the answer

For each child, P(unaffected) = 3/4. For three independent children, multiply: 3/4 × 3/4 × 3/4 = 27/64, about 42%.

Answer

C · 27/64
11.Chemistry for nursing entrance exams

Answer: A · Add the acid slowly to the water

Why this is the answer

Diluting strong acids releases a lot of heat. Adding acid slowly to a larger amount of water lets the water absorb the heat; adding water to acid can boil locally and spatter acid.

Answer

A · Add the acid slowly to the water
12.Chemistry for nursing entrance exams

Answer: A · Acetic acid only partly ionises, so it forms fewer ions

Why this is the answer

HCl ionises almost completely (a strong electrolyte), while acetic acid ionises only slightly (a weak electrolyte). Fewer ions carry less current.

Answer

A · Acetic acid only partly ionises, so it forms fewer ions
13.English grammar & language usage (entrance exams)

Answer: D · counsel

Why this is the answer

“Counsel” means to advise. A “council” is a group that makes decisions, and a “consul” is a government official abroad.

Answer

D · counsel
14.English grammar & language usage (entrance exams)

Answer: C · Getting enough sleep helps students learn and remember new material.

Why this is the answer

A clearly states the main idea that the rest of the paragraph can support. B and C are off topic, and D is vague.

Answer

C · Getting enough sleep helps students learn and remember new material.
15.Healthcare vocabulary (entrance exams)

Answer: A · Suitable

Why this is the answer

Appropriate means suitable or right for the situation.

Answer

A · Suitable
16.Healthcare vocabulary (entrance exams)

Answer: C · Haematopoiesis

Why this is the answer

Haematopoiesis (US: hematopoiesis) is the production of blood cells, mainly in the red bone marrow; haemolysis is their destruction.

Answer

C · Haematopoiesis

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