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

A pie chart of a family’s monthly budget shows: housing 40%, food 20%, transport 15%, savings 10%, other 15%. Which statement is true?

  1. AFood and transport together exceed housing.
  2. BSavings are the second largest share of the budget.
  3. CHousing takes the largest share.
  4. DTransport takes more than food.
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 admitting that the plan is reckless
  2. BBy promising to cancel the plan
  3. CBy attacking the critics personally
  4. DBy giving examples of where the plan has worked
3.Pre-nursing math (entrance exam)Medium

The ages of the patients seen at a clinic one morning were 25, 40, 25, 36, 33, 25, 11, 23, 25. What is the mode M?

25, 40, 25, 36, 33, 25, 11, 23, 25
M =
4.Pre-nursing math (entrance exam)Hard

Use the order of operations to find the value of x: x = (8 × 4 − 8) ÷ 2 − (−2)³.

x = (8 × 4 − 8) ÷ 2 − (−2)³
x =
5.Human anatomyMedium

Which is the outermost layer of the meninges?

  1. APia mater
  2. BChoroid plexus
  3. CArachnoid mater
  4. DDura mater
6.Human anatomyHard

Why does an inhaled foreign body more often lodge in the right main bronchus than the left?

  1. AThe left bronchus is closed by the epiglottis
  2. BThe right bronchus is wider, shorter and more vertical
  3. CThe right bronchus is narrower and more horizontal
  4. DThe right lung has stronger airflow due to the heart's position
7.Human physiologyMedium

How is the ejection fraction calculated?

  1. AEnd-systolic volume ÷ stroke volume
  2. BStroke volume ÷ end-diastolic volume
  3. CCardiac output ÷ heart rate
  4. DEnd-diastolic volume ÷ end-systolic volume
8.Human physiologyHard

A patient has taken high-dose prednisolone for a year. What is the state of the hypothalamic–pituitary–adrenal axis?

  1. AACTH is high and the adrenal cortex is enlarged
  2. BThe adrenal medulla has stopped making adrenaline and noradrenaline
  3. CACTH is normal and cortisol production is increased
  4. DACTH is suppressed and the adrenal cortex has atrophied
9.Biology for nursing entrance examsMedium

Why do Gram-positive bacteria stain purple in a Gram stain?

  1. ATheir thick peptidoglycan wall holds the purple dye
  2. BThey have no cell wall at all
  3. CTheir thin wall is covered by an outer membrane rich in lipids
  4. DThey contain chlorophyll
10.Biology for nursing entrance examsHard

A pre-mRNA is 3000 bases long, and 1200 bases of introns are removed. If all remaining bases code for amino acids, what is the largest number of amino acids in the protein?

  1. A1800
  2. B600
  3. C1000
  4. D400
11.Chemistry for nursing entrance examsMedium

In a reaction at equilibrium, a product is continuously removed. What happens?

  1. AThe equilibrium shifts to the left to form more reactants
  2. BThe reaction rate drops to zero
  3. CMore product keeps forming as the equilibrium shifts to the right
  4. DThe reactants run out immediately
12.Chemistry for nursing entrance examsHard

An element in period 3 forms an oxide with the formula X₂O₃. Which element is X?

  1. AMagnesium
  2. BSodium
  3. CAluminium
  4. DPhosphorus
13.English grammar & language usage (entrance exams)Medium

Which sentence uses commas correctly for direct address?

  1. AMrs., Patel your room is ready.
  2. BMrs. Patel, your room is ready.
  3. CMrs. Patel your room, is ready.
  4. DMrs. Patel your room is, ready.
14.English grammar & language usage (entrance exams)Hard

What kind of sentence is this? “Although the storm was strong, the power stayed on, and the clinic remained open.”

  1. ACompound-complex
  2. BComplex
  3. CCompound
  4. DSimple
15.Healthcare vocabulary (entrance exams)Medium

Choose the meaning of the word in bold: “The patient was incontinent of urine during the night.”

  1. APassing very large amounts of it at night
  2. BUnable to pass it at all
  3. CUnable to control the passing of it
  4. DFeeling pain when passing it
16.Healthcare vocabulary (entrance exams)Hard

What does the term osteomyelitis mean?

  1. ASoftening of the bones in adults
  2. BInflammation of bone and bone marrow
  3. CInflammation of the joints and cartilage
  4. DA tumour of the skeletal muscle

3Solutions

1.Reading comprehension (entrance exams)

Answer: C · Housing takes the largest share.

Why this is the answer

Housing (40%) is the largest share. Food and transport total 35%, less than housing; savings (10%) is the smallest share.

Answer

C · Housing takes the largest share.
2.Reading comprehension (entrance exams)

Answer: D · 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

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

Answer: M = 25

Mean, median, mode and range: the mean (average) is the sum divided by the number of values. The median is the middle value once the values are in order; with an even number of values it is the mean of the two middle ones. The mode is the value that occurs most often. The range is the largest value minus the smallest.

Count each value

11, 23, 25, 25, 25, 25, 33, 36, 40

Most frequent

M = 25 (4×)

Answer

M = 25
4.Pre-nursing math (entrance exam)

Answer: x = 20

Order of operations (PEMDAS/BODMAS): work inside parentheses first, then exponents (powers), then multiplication and division from left to right, and last addition and subtraction from left to right. Multiplication does not come before division, and addition does not come before subtraction: each pair is done in the order it appears. A negative number in parentheses keeps its sign when squared: (−3)² = 9, but −3² = −9.

One operation at a time

(−2)³ = −8, and subtracting −8 adds 8.

x = (8 × 4 − 8) ÷ 2 − (−2)³
= (32 − 8) ÷ 2 − (−2)³
= 24 ÷ 2 − (−2)³
= 24 ÷ 2 − (−8)
= 12 − (−8)

Result

x = 20

Answer

x = 20
5.Human anatomy

Answer: D · Dura mater

Why this is the answer

From outside in the meninges are dura, arachnoid and pia mater. Cerebrospinal fluid flows in the subarachnoid space between arachnoid and pia.

Answer

D · Dura mater
6.Human anatomy

Answer: B · The right bronchus is wider, shorter and more vertical

Why this is the answer

The right main bronchus is wider, shorter and continues more directly in line with the trachea, so aspirated objects tend to fall into it.

Answer

B · The right bronchus is wider, shorter and more vertical
7.Human physiology

Answer: B · Stroke volume ÷ end-diastolic volume

Why this is the answer

Ejection fraction is the proportion of blood in the full ventricle that is ejected per beat. A normal value is about 55–70%.

Answer

B · Stroke volume ÷ end-diastolic volume
8.Human physiology

Answer: D · ACTH is suppressed and the adrenal cortex has atrophied

Why this is the answer

Exogenous glucocorticoid suppresses CRH and ACTH, so the adrenal cortex atrophies. Stopping the drug suddenly can cause an adrenal crisis, so it is tapered.

Answer

D · ACTH is suppressed and the adrenal cortex has atrophied
9.Biology for nursing entrance exams

Answer: A · Their thick peptidoglycan wall holds the purple dye

Why this is the answer

A thick peptidoglycan layer traps crystal violet. Gram-negative bacteria have a thin wall and an outer membrane, lose the purple dye and stain pink.

Answer

A · Their thick peptidoglycan wall holds the purple dye
10.Biology for nursing entrance exams

Answer: B · 600

Why this is the answer

3000 − 1200 = 1800 bases remain in the mature mRNA. Each amino acid needs 3 bases, so 1800 ÷ 3 = 600 amino acids.

Answer

B · 600
11.Chemistry for nursing entrance exams

Answer: C · More product keeps forming as the equilibrium shifts to the right

Why this is the answer

Removing product lowers its concentration, so the system shifts forward (to the right) to replace it. Industry uses this to raise yields.

Answer

C · More product keeps forming as the equilibrium shifts to the right
12.Chemistry for nursing entrance exams

Answer: C · Aluminium

Why this is the answer

Three O²⁻ ions give 6− in total, so two X ions must give 6+, meaning X³⁺. The period 3 metal that forms 3+ ions is aluminium (group 13), giving Al₂O₃.

Answer

C · Aluminium
13.English grammar & language usage (entrance exams)

Answer: B · Mrs. Patel, your room is ready.

Why this is the answer

When you speak directly to someone, their name is separated from the rest of the sentence with a comma (or two commas if it is in the middle).

Answer

B · Mrs. Patel, your room is ready.
14.English grammar & language usage (entrance exams)

Answer: A · Compound-complex

Why this is the answer

There are two independent clauses (“the power stayed on”, “the clinic remained open”) and one dependent clause (“Although the storm was strong”), which makes it compound-complex.

Answer

A · Compound-complex
15.Healthcare vocabulary (entrance exams)

Answer: C · Unable to control the passing of it

Why this is the answer

Incontinence is the loss of control over passing urine or stool.

Answer

C · Unable to control the passing of it
16.Healthcare vocabulary (entrance exams)

Answer: B · Inflammation of bone and bone marrow

Why this is the answer

Osteomyelitis is inflammation of the bone and marrow, usually caused by infection.

Answer

B · Inflammation of bone and bone marrow

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