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

Hand sanitiser is useful when soap and water are not available. Still, washing with soap and water is better when hands are visibly dirty, because sanitiser does not remove dirt and grease well. What can you infer from the passage?

  1. ASoap and water are the better choice for greasy hands.
  2. BSoap and water are only needed in hospitals and clinics, not at home.
  3. CHand sanitiser removes dirt better than soap.
  4. DHand sanitiser should never be used.
2.Reading comprehension (entrance exams)Hard

“The bakery’s sales rose by 30% after it began selling coffee. The owner wonders whether to start selling sandwiches as well.” What can be reasonably inferred?

  1. AAdding coffee seems to have helped sales.
  2. BCoffee lost the bakery money.
  3. CSandwiches will raise sales by exactly 30%.
  4. DThe bakery stopped selling bread.
3.Pre-nursing math (entrance exam)Medium
1 7/101/31/102 1/10

Work out 2 1/2 − 4/5. Click the answer in lowest terms.

2 1/2 − 4/5
  1. 11 7/10
  2. 21/3
  3. 31/10
  4. 42 1/10
4.Pre-nursing math (entrance exam)Hard

Solve for x: 5(x − 4) = 6x − 27.

5(x − 4) = 6x − 27
x =
5.Human anatomyMedium

Which part of the brainstem contains the main cardiovascular and respiratory centres?

  1. AMedulla oblongata
  2. BCerebellum
  3. CMidbrain
  4. DPons
6.Human anatomyHard

After an injury at the medial epicondyle of the elbow, a patient has numbness of the little finger and weakness of finger abduction. Which nerve is affected?

  1. AMedian nerve
  2. BMusculocutaneous nerve
  3. CRadial nerve
  4. DUlnar nerve
7.Human physiologyMedium

In skeletal muscle, where does most of the calcium for contraction come from?

  1. AThe mitochondria
  2. BThe sarcoplasmic reticulum
  3. CThe extracellular fluid
  4. DThe nucleus
8.Human physiologyHard

Why does a person with a high spinal cord injury above T1 risk low blood pressure?

  1. AThe vagus nerve is cut, so the heart rate rises
  2. BThe phrenic nerve can no longer control the tone of the arteries
  3. CThe sympathetic outflow to the vessels and heart is cut off
  4. DRenin release from the kidney stops completely
9.Biology for nursing entrance examsMedium

How does a scientific theory differ from a hypothesis?

  1. AA theory can never be changed by new data
  2. BA theory is a guess that has not been tested yet
  3. CA theory is a single experiment's result
  4. DIt is a broad explanation backed by much tested evidence
10.Biology for nursing entrance examsHard

A nurse notices that patients who used a new mouthwash had few mouth infections. No other patients were studied. What is most needed before concluding that the mouthwash works?

  1. AA larger bottle of the same mouthwash for each patient
  2. BA comparable group that does not use the mouthwash
  3. CA longer explanation in the report
  4. DA survey asking patients if they liked it
11.Chemistry for nursing entrance examsMedium

The amino acid glycine has an –NH₂ group and a –COOH group. What are these two groups called?

  1. AA phosphate group and a hydroxyl group
  2. BA carbonyl group and an ester group
  3. CAn amino group and a carboxyl group
  4. DA hydroxyl group and a methyl group
12.Chemistry for nursing entrance examsHard

Which phrase best describes a 0.001 M solution of hydrochloric acid?

  1. AA dilute solution of a weak acid
  2. BA dilute solution of a strong acid
  3. CA concentrated solution of a weak acid
  4. DA concentrated solution of a strong acid
13.English grammar & language usage (entrance exams)Medium

Which word is written correctly with a hyphen?

  1. Aselfe-steem
  2. Bself-esteem
  3. Cself esteem
  4. Dselfesteem
14.English grammar & language usage (entrance exams)Hard

Which sentence uses the hyphen correctly?

  1. AShe is a well known-author.
  2. BShe is a well-known author.
  3. CShe is a well-known-author.
  4. DThe author is well-known by everyone, she says.
15.Healthcare vocabulary (entrance exams)Medium

Choose the meaning of the word in bold: “Smoking can exacerbate asthma.”

  1. AHide
  2. BPrevent
  3. CCure completely
  4. DMake worse
16.Healthcare vocabulary (entrance exams)Hard

What does the term pericarditis mean?

  1. AInflammation of the sac around the heart
  2. BInflammation of the muscle tissue of the heart wall
  3. CSlow heart rate
  4. DEnlargement of the heart

3Solutions

1.Reading comprehension (entrance exams)

Answer: A · Soap and water are the better choice for greasy hands.

Why this is the answer

If sanitiser does not remove dirt and grease well, soap and water are better for dirty or greasy hands. The passage does not say sanitiser should never be used.

Answer

A · Soap and water are the better choice for greasy hands.
2.Reading comprehension (entrance exams)

Answer: A · Adding coffee seems to have helped sales.

Why this is the answer

Sales rose after coffee was added, suggesting it helped. The passage gives no basis for predicting the effect of sandwiches.

Answer

A · Adding coffee seems to have helped sales.
3.Pre-nursing math (entrance exam)

Answer: 1 7/10

Adding and subtracting fractions: the denominators must be the same. Find the least common denominator (LCD), rewrite each fraction with it by multiplying top and bottom by the same number, then add or subtract the numerators only. Simplify by dividing top and bottom by their greatest common factor, and write an improper fraction as a mixed number.

Improper fractions

2 1/2 = 5/2
4/5 = 4/5

Common denominator

The least common multiple of 2 and 5 is 10.

5/2 = 25/10
4/5 = 8/10

Subtract the numerators

25/10 − 8/10 = 17/10

Simplify

17/10 = 1 7/10

Answer

1 7/10
4.Pre-nursing math (entrance exam)

Answer: x = 7

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.

Distribute

5x − 20 = 6x − 27

Collect terms

-1x = −7

Divide

x = −7/-1 = 7

Answer

x = 7
5.Human anatomy

Answer: A · Medulla oblongata

Why this is the answer

The medulla oblongata contains the vital centres that regulate heart rate, blood pressure and breathing rhythm.

Answer

A · Medulla oblongata
6.Human anatomy

Answer: D · Ulnar nerve

Why this is the answer

The ulnar nerve passes behind the medial epicondyle. It supplies most intrinsic hand muscles, including the interossei, and the skin of the little finger.

Answer

D · Ulnar nerve
7.Human physiology

Answer: B · The sarcoplasmic reticulum

Why this is the answer

Depolarisation of the T-tubules opens ryanodine receptors in the sarcoplasmic reticulum, releasing stored calcium into the cytoplasm.

Answer

B · The sarcoplasmic reticulum
8.Human physiology

Answer: C · The sympathetic outflow to the vessels and heart is cut off

Why this is the answer

Sympathetic outflow leaves the cord at T1–L2. A lesion above it removes vasomotor tone and cardiac sympathetic drive while the vagus still works, causing hypotension and bradycardia (neurogenic shock).

Answer

C · The sympathetic outflow to the vessels and heart is cut off
9.Biology for nursing entrance exams

Answer: D · It is a broad explanation backed by much tested evidence

Why this is the answer

A theory explains a wide range of observations and has survived repeated testing. It can still be revised if strong new evidence appears.

Answer

D · It is a broad explanation backed by much tested evidence
10.Biology for nursing entrance exams

Answer: B · A comparable group that does not use the mouthwash

Why this is the answer

Without a control group, there is no way to know whether infections would have been just as rare without the mouthwash. A similar group under the same conditions is needed for comparison.

Answer

B · A comparable group that does not use the mouthwash
11.Chemistry for nursing entrance exams

Answer: C · An amino group and a carboxyl group

Why this is the answer

Every amino acid has an amino group (–NH₂, basic) and a carboxyl group (–COOH, acidic). These two groups react to form peptide bonds.

Answer

C · An amino group and a carboxyl group
12.Chemistry for nursing entrance exams

Answer: B · A dilute solution of a strong acid

Why this is the answer

Strength describes how fully an acid ionises; HCl ionises completely, so it is strong at any concentration. Concentration describes how much acid is in each litre; 0.001 M is dilute.

Answer

B · A dilute solution of a strong acid
13.English grammar & language usage (entrance exams)

Answer: B · self-esteem

Why this is the answer

Words formed with the prefix “self-” are normally hyphenated: self-esteem, self-care, self-control.

Answer

B · self-esteem
14.English grammar & language usage (entrance exams)

Answer: B · She is a well-known author.

Why this is the answer

Compound adjectives before a noun take a hyphen (a well-known author). The hyphen never links the adjective to the noun itself.

Answer

B · She is a well-known author.
15.Healthcare vocabulary (entrance exams)

Answer: D · Make worse

Why this is the answer

To exacerbate is to make a problem or symptom more severe.

Answer

D · Make worse
16.Healthcare vocabulary (entrance exams)

Answer: A · Inflammation of the sac around the heart

Why this is the answer

Peri- (around) + cardi/o (heart) + -itis (inflammation): inflammation of the pericardium. Heart muscle inflammation is myocarditis.

Answer

A · Inflammation of the sac around the heart

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