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

In the 1840s, the doctor Ignaz Semmelweis noticed that many mothers died after childbirth in wards where doctors came straight from performing autopsies. When he required doctors to wash their hands in a chlorine solution, the death rate dropped sharply. What does the passage suggest?

  1. AChlorine was used to make medicines for new mothers.
  2. BAutopsies were no longer performed in that hospital after the year 1840.
  3. CThe mothers died because of problems during birth only.
  4. DHand washing reduced the spread of infection to the mothers.
2.Reading comprehension (entrance exams)Hard

“The new policy allows staff to work from home two days a week. Employees who need to see patients must still work on site every day.” Which employee can work from home under the policy?

  1. AA doctor running daily clinics
  2. BA physiotherapist treating patients
  3. CA nurse who sees patients daily
  4. DAn office billing clerk
3.Pre-nursing math (entrance exam)Medium
d = 30 in

A circle has a diameter of 30 in. Using π ≈ 3.14, find its circumference C.

d = 30 inπ ≈ 3.14
C = in
4.Pre-nursing math (entrance exam)Hard

Solve for x: 2(x − 1) = 5x − 38.

2(x − 1) = 5x − 38
x =
5.Human anatomyMedium

Which spinal nerve roots form the brachial plexus?

  1. AC3 to C7
  2. BC5 to T1
  3. CT1 to T5
  4. DC1 to C4
6.Human anatomyHard

A typical posterolateral disc herniation between L4 and L5 most often compresses which nerve root?

  1. AL4
  2. BL3
  3. CL5
  4. DS1
7.Human physiologyMedium

The Frank–Starling mechanism describes that:

  1. AStroke volume rises when ventricular filling increases
  2. BContractility falls when temperature rises
  3. CHeart rate rises when arterial blood pressure falls suddenly
  4. DThe atria contract after the ventricles
8.Human physiologyHard

A patient hyperventilating during a panic attack has tingling fingers. What would the arterial blood gas most likely show?

  1. AHigh pH and low PaCO₂
  2. BHigh pH and high bicarbonate
  3. CLow pH and low bicarbonate
  4. DLow pH and high PaCO₂
9.Biology for nursing entrance examsMedium

Two heterozygous parents (Aa × Aa) are crossed. What is the expected genotype ratio?

  1. A2 AA : 1 Aa : 1 aa
  2. B1 AA : 1 aa
  3. C1 AA : 2 Aa : 1 aa
  4. D3 AA : 1 aa
10.Biology for nursing entrance examsHard

Why are most cells very small?

  1. ASmall cells have a high surface-area-to-volume ratio
  2. BSmall cells do not need oxygen
  3. CLarge cells cannot contain mitochondria
  4. DSmall cells contain more DNA than large cells
11.Chemistry for nursing entrance examsMedium

What is 380 mmHg in atmospheres?

  1. A380 atm
  2. B0.38 atm
  3. C0.5 atm
  4. D2 atm
12.Chemistry for nursing entrance examsHard

Balance the equation __C₃H₈ + __O₂ → __CO₂ + __H₂O. What is the coefficient of O₂?

  1. A5
  2. B3
  3. C10
  4. D4
13.English grammar & language usage (entrance exams)Medium

Which salutation is punctuated correctly for a formal business letter in American style?

  1. ADear Dr. Smith:
  2. BDear, Dr. Smith
  3. CDear Dr. Smith;
  4. DDear Dr. Smith.
14.English grammar & language usage (entrance exams)Hard

Which sentence uses a semicolon incorrectly?

  1. AIt was late; however, we stayed.
  2. BIt was late; we went home.
  3. CThe kit includes; gauze, tape and gloves.
  4. DWe visited Lima, Peru; Quito, Ecuador; and Cali, Colombia.
15.Healthcare vocabulary (entrance exams)Medium

Choose the meaning of the word in bold: “The doctor will discontinue the drug if the rash spreads.”

  1. ARestart
  2. BIncrease
  3. CStop
  4. DChange the brand of
16.Healthcare vocabulary (entrance exams)Hard

Choose the meaning of the word in bold: “After treatment the patient’s leukaemia was in remission.”

  1. AA period of isolation to prevent infection
  2. BThe final and most serious stage of a long-term disease
  3. CThe recovery period immediately after surgery
  4. DA period when signs of disease lessen or disappear

3Solutions

1.Reading comprehension (entrance exams)

Answer: D · Hand washing reduced the spread of infection to the mothers.

Why this is the answer

Deaths fell after doctors washed their hands, which suggests that the doctors had been carrying infection from the autopsies to the mothers.

Answer

D · Hand washing reduced the spread of infection to the mothers.
2.Reading comprehension (entrance exams)

Answer: D · An office billing clerk

Why this is the answer

Staff who see patients must be on site daily. A billing clerk does not see patients, so they can work from home two days a week.

Answer

D · An office billing clerk
3.Pre-nursing math (entrance exam)

Answer: C = 94.2 in

Perimeter, area and volume: the perimeter is the distance around a shape (rectangle: 2l + 2w). Area is measured in square units: rectangle l × w, triangle ½ × base × height, circle π·r². The circumference of a circle is π·d = 2π·r. Volume is in cubic units: box l × w × h, cylinder π·r²·h. Use the value of π the question gives.

Circumference

C = 3.14 × 30 = 94.2 in

Answer

C = 94.2 in
4.Pre-nursing math (entrance exam)

Answer: x = 12

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

2x − 2 = 5x − 38

Collect terms

-3x = −36

Divide

x = −36/-3 = 12

Answer

x = 12
5.Human anatomy

Answer: B · C5 to T1

Why this is the answer

The brachial plexus is formed by the ventral rami of C5, C6, C7, C8 and T1. It gives rise to the main nerves of the arm.

Answer

B · C5 to T1
6.Human anatomy

Answer: C · L5

Why this is the answer

A posterolateral L4–L5 herniation usually catches the traversing L5 root, causing weakness of big toe extension and numbness on the top of the foot.

Answer

C · L5
7.Human physiology

Answer: A · Stroke volume rises when ventricular filling increases

Why this is the answer

Greater end-diastolic volume stretches the myocardium, which increases the force of contraction and the stroke volume, matching output to venous return.

Answer

A · Stroke volume rises when ventricular filling increases
8.Human physiology

Answer: A · High pH and low PaCO₂

Why this is the answer

Hyperventilation blows off CO₂ and causes acute respiratory alkalosis. Alkalosis increases calcium binding to albumin, lowering ionised calcium and causing tingling.

Answer

A · High pH and low PaCO₂
9.Biology for nursing entrance exams

Answer: C · 1 AA : 2 Aa : 1 aa

Why this is the answer

The square gives AA, Aa, aA and aa, which is 1 : 2 : 1. The phenotype ratio is 3 dominant : 1 recessive.

Answer

C · 1 AA : 2 Aa : 1 aa
10.Biology for nursing entrance exams

Answer: A · Small cells have a high surface-area-to-volume ratio

Why this is the answer

As a cell grows, its volume increases faster than its surface area. Small cells keep a high surface-area-to-volume ratio, so diffusion can supply the whole cell.

Answer

A · Small cells have a high surface-area-to-volume ratio
11.Chemistry for nursing entrance exams

Answer: C · 0.5 atm

Why this is the answer

380 mmHg ÷ 760 mmHg/atm = 0.5 atm. This is about the air pressure near the top of a very high mountain.

Answer

C · 0.5 atm
12.Chemistry for nursing entrance exams

Answer: A · 5

Why this is the answer

C₃H₈ + 5O₂ → 3CO₂ + 4H₂O. The products have 3 × 2 + 4 × 1 = 10 oxygen atoms, which needs 5 O₂.

Answer

A · 5
13.English grammar & language usage (entrance exams)

Answer: A · Dear Dr. Smith:

Why this is the answer

In American business letters a colon follows the salutation, and a comma is used in friendly letters. British letters normally use a comma or no mark (“Dear Dr Smith,”).

Answer

A · Dear Dr. Smith:
14.English grammar & language usage (entrance exams)

Answer: C · The kit includes; gauze, tape and gloves.

Why this is the answer

In A the semicolon splits the verb “includes” from its objects; no punctuation is needed there. B and C join two independent clauses, and D separates list items that contain commas.

Answer

C · The kit includes; gauze, tape and gloves.
15.Healthcare vocabulary (entrance exams)

Answer: C · Stop

Why this is the answer

To discontinue is to stop doing or giving something.

Answer

C · Stop
16.Healthcare vocabulary (entrance exams)

Answer: D · A period when signs of disease lessen or disappear

Why this is the answer

Remission is a period in which the signs and symptoms of a disease decrease or disappear.

Answer

D · A period when signs of disease lessen or disappear

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