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

Kelp is a type of large brown algae that grows in cold ocean water. Kelp forests provide food and shelter for many animals, including sea otters, which eat the sea urchins that feed on kelp. How do sea otters help kelp forests?

  1. AThey eat the kelp before it grows too tall.
  2. BThey eat the sea urchins that feed on kelp.
  3. CThey plant new kelp on the ocean floor.
  4. DThey keep the water warm for the kelp.
2.Reading comprehension (entrance exams)Hard

“The company claims its water filter removes 99% of germs. The claim is based on one test, run by the company itself, on water from a single tap.” What is the best evaluation of the claim?

  1. AIt needs independent and wider testing.
  2. BIt is reliable because the company ran the test.
  3. CIt is proven true for all types of water.
  4. DIt is false because filters cannot remove germs.
3.Pre-nursing math (entrance exam)Medium

On a hospital floor the ratio of nurses to nursing assistants is 5 : 3. There are 10 nurses. How many nursing assistants x are there?

5 : 310
x =
4.Pre-nursing math (entrance exam)Hard

Solve for x: 5(x − 3) = 6x − 9.

5(x − 3) = 6x − 9
x =
5.Human anatomyMedium

Which structure is the main bundle of nerve fibres connecting the left and right cerebral hemispheres?

  1. AInternal capsule
  2. BCerebral peduncle
  3. CCorpus callosum
  4. DFornix
6.Human anatomyHard

Which structure is found in the posterior mediastinum?

  1. AAscending aorta
  2. BHeart
  3. COesophagus
  4. DThymus
7.Human physiologyMedium

What is the main stimulus for breathing in a healthy person?

  1. AA fall in blood pH caused by lactate only
  2. BA rise in arterial CO₂
  3. CA fall in arterial O₂
  4. DA rise in blood glucose
8.Human physiologyHard

In long-standing aortic stenosis, how does the left ventricle adapt?

  1. AConcentric hypertrophy with a thicker wall
  2. BNo change because the valve is not part of the ventricle
  3. CThinning of the wall with dilation
  4. DAtrophy of the muscle due to less work
9.Biology for nursing entrance examsMedium

How does a scientific theory differ from a hypothesis?

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

Which type of graph is best for showing how a patient's temperature changes over 24 hours?

  1. AA food web
  2. BA pie chart
  3. CA Punnett square
  4. DA line graph
11.Chemistry for nursing entrance examsMedium

Why does keeping food in a refrigerator slow down spoilage?

  1. ACold temperatures add preservatives to the food
  2. BCold air contains no oxygen
  3. CLower temperatures raise the activation energy of every reaction
  4. DLower temperatures slow down chemical and microbial reactions
12.Chemistry for nursing entrance examsHard

A carboxylic acid reacts with an alcohol in the presence of an acid catalyst. What are the products?

  1. AAn alkane and oxygen
  2. BAn ester and water
  3. CAn amino acid and carbon dioxide
  4. DA salt and hydrogen
13.English grammar & language usage (entrance exams)Medium

Which sentence uses a colon correctly to introduce an explanation?

  1. AShe had one reason for leaving: she was exhausted.
  2. BShe had one reason: for leaving she was exhausted.
  3. CShe had one reason for: leaving she was exhausted.
  4. DShe had: one reason for leaving she was exhausted.
14.English grammar & language usage (entrance exams)Hard

Choose the correct verb: “A number of patients ___ waiting outside.”

  1. Ahas been
  2. Bis
  3. Cwas
  4. Dare
15.Healthcare vocabulary (entrance exams)Medium

Choose the meaning of the word in bold: “Ask the patient to expectorate into the specimen cup.”

  1. ASwallow
  2. BCough up and spit out
  3. CRinse the mouth
  4. DBreathe deeply
16.Healthcare vocabulary (entrance exams)Hard

Which word is closest in meaning to alleviate?

  1. AConceal
  2. BWorsen
  3. CPostpone
  4. DRelieve

3Solutions

1.Reading comprehension (entrance exams)

Answer: B · They eat the sea urchins that feed on kelp.

Why this is the answer

Otters eat sea urchins, and urchins eat kelp, so otters protect the kelp by reducing the number of urchins.

Answer

B · They eat the sea urchins that feed on kelp.
2.Reading comprehension (entrance exams)

Answer: A · It needs independent and wider testing.

Why this is the answer

One test run by the company on one tap is limited and may be biased. Independent tests on different water would be needed to trust the claim.

Answer

A · It needs independent and wider testing.
3.Pre-nursing math (entrance exam)

Answer: x = 6

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.

One part

10/5 = 2

Assistants

x = 3 × 2 = 6

Answer

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

Answer: x = −6

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 − 15 = 6x − 9

Collect terms

-1x = 6

Divide

x = 6/-1 = −6

Answer

x = −6
5.Human anatomy

Answer: C · Corpus callosum

Why this is the answer

The corpus callosum is the largest commissure, linking matching areas of the two hemispheres. The internal capsule carries projection fibres up and down instead.

Answer

C · Corpus callosum
6.Human anatomy

Answer: C · Oesophagus

Why this is the answer

The posterior mediastinum contains the oesophagus, descending aorta, azygos veins and thoracic duct. The heart and ascending aorta are in the middle mediastinum; the thymus is in the superior and anterior mediastinum.

Answer

C · Oesophagus
7.Human physiology

Answer: B · A rise in arterial CO₂

Why this is the answer

Central chemoreceptors respond to CO₂ (through the pH of the cerebrospinal fluid). Low O₂ adds strongly to the drive only when PaO₂ falls well below normal, for example at high altitude.

Answer

B · A rise in arterial CO₂
8.Human physiology

Answer: A · Concentric hypertrophy with a thicker wall

Why this is the answer

Pressure overload makes the ventricular wall thicken (concentric hypertrophy) to keep wall stress normal. Volume overload, as in regurgitation, causes dilation instead.

Answer

A · Concentric hypertrophy with a thicker wall
9.Biology for nursing entrance exams

Answer: A · 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

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

Answer: D · A line graph

Why this is the answer

A line graph shows how one variable changes over time. A pie chart shows parts of a whole at one moment.

Answer

D · A line graph
11.Chemistry for nursing entrance exams

Answer: D · Lower temperatures slow down chemical and microbial reactions

Why this is the answer

At lower temperatures, fewer particles have enough energy to react, and microbial enzymes work slowly. Spoilage reactions therefore happen more slowly. The activation energy itself does not change.

Answer

D · Lower temperatures slow down chemical and microbial reactions
12.Chemistry for nursing entrance exams

Answer: B · An ester and water

Why this is the answer

Carboxylic acid + alcohol → ester + water. Esters give many fruits and perfumes their smells; fats are also esters of glycerol and fatty acids.

Answer

B · An ester and water
13.English grammar & language usage (entrance exams)

Answer: A · She had one reason for leaving: she was exhausted.

Why this is the answer

A colon can follow an independent clause to introduce an explanation, a list or a quotation. It should not split a verb from its object.

Answer

A · She had one reason for leaving: she was exhausted.
14.English grammar & language usage (entrance exams)

Answer: D · are

Why this is the answer

“A number of” means “several” and takes a plural verb. “The number of” refers to one figure and takes a singular verb.

Answer

D · are
15.Healthcare vocabulary (entrance exams)

Answer: B · Cough up and spit out

Why this is the answer

To expectorate is to cough up and spit out mucus or sputum.

Answer

B · Cough up and spit out
16.Healthcare vocabulary (entrance exams)

Answer: D · Relieve

Why this is the answer

To alleviate is to make suffering or a problem less severe, which is to relieve it.

Answer

D · Relieve

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