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

“The old lighthouse keeper climbed the 120 steps every evening to light the lamp, even when his knees ached, because ships depended on him.” What motivates the lighthouse keeper?

  1. AA sense of duty to the ships
  2. BA fear of being alone at night
  3. CA wish to exercise his knees
  4. DA plan to sell the lighthouse
2.Reading comprehension (entrance exams)Hard

“When Ella received the award, she thanked her coach, her teammates and her parents, but said nothing about her own hard work.” Which trait does this most likely show?

  1. ALaziness
  2. BModesty
  3. CArrogance
  4. DJealousy
3.Pre-nursing math (entrance exam)Medium

The ages of the patients seen at a clinic one morning were 20, 33, 20, 16, 12, 3, 20. What is the mode M?

20, 33, 20, 16, 12, 3, 20
M =
4.Pre-nursing math (entrance exam)Hard
r = 5 inh = 9 in

A cylinder has a radius of 5 in and a height of 9 in. Using π ≈ 3.14, find its volume V.

r = 5 inh = 9 inπ ≈ 3.14
V = in³
5.Human anatomyMedium

Which part of the brain is chiefly responsible for coordination and balance?

  1. AThalamus
  2. BCerebellum
  3. CMedulla oblongata
  4. DHypothalamus
6.Human anatomyHard

In portal hypertension, oesophageal varices form at which portosystemic anastomosis?

  1. ABetween the superior rectal and middle rectal veins
  2. BBetween the paraumbilical veins and the epigastric veins
  3. CBetween the splenic vein and the left renal vein
  4. DBetween the left gastric vein and the oesophageal tributaries of the azygos vein
7.Human physiologyMedium

What causes the first heart sound (S1)?

  1. ABlood filling the atria
  2. BClosure of the mitral and tricuspid valves
  3. CClosure of the aortic and pulmonary valves
  4. DOpening of the aortic valve
8.Human physiologyHard

After several days of persistent vomiting of stomach contents, which acid–base disturbance is most likely?

  1. ARespiratory alkalosis
  2. BMetabolic acidosis
  3. CMetabolic alkalosis
  4. DRespiratory acidosis
9.Biology for nursing entrance examsMedium

How does facilitated diffusion differ from simple diffusion?

  1. AIt uses channel or carrier proteins but no ATP
  2. BIt moves molecules against their gradient using a pump and ATP
  3. CIt uses ATP to move molecules uphill
  4. DIt only moves gases such as oxygen
10.Biology for nursing entrance examsHard

Home pregnancy tests use antibodies that bind the hormone hCG. Why do they react with hCG and not with other proteins in urine?

  1. AThe hormone hCG is a type of antibody itself
  2. BEach antibody binds a specific antigen shape
  3. CUrine contains no other proteins at all
  4. DAntibodies bind every protein but change colour only with hCG
11.Chemistry for nursing entrance examsMedium

Which property is typical of ionic compounds such as NaCl?

  1. AHigh melting points; they conduct when dissolved
  2. BBeing soft and easily bent like metals
  3. CLow melting points and being gases at room temperature
  4. DConducting electricity as dry solids
12.Chemistry for nursing entrance examsHard

A piece of copper is placed in zinc sulfate solution. Zinc is more reactive than copper. What happens?

  1. AHydrogen gas is produced
  2. BZinc metal coats the copper and the solution turns blue
  3. CNo reaction occurs
  4. DCopper replaces zinc, forming copper sulfate
13.English grammar & language usage (entrance exams)Medium

Choose the correct verb: “Mathematics ___ the subject I enjoy most.”

  1. Ais
  2. Bwere
  3. Chave been
  4. Dare
14.English grammar & language usage (entrance exams)Hard

Which word in this sentence is capitalised incorrectly? “Last Summer my aunt studied Spanish at a college in Texas.”

  1. ASpanish
  2. BLast
  3. CSummer
  4. DTexas
15.Healthcare vocabulary (entrance exams)Medium

Choose the meaning of the word in bold: “A blood pressure reading is objective data.”

  1. APrivate and confidential
  2. BBased on personal feelings
  3. CUncertain and estimated
  4. DObservable and measurable
16.Healthcare vocabulary (entrance exams)Hard

Which word means “relating to the mother in the period after childbirth”?

  1. ANeonatal
  2. BIntrapartum
  3. CAntepartum
  4. DPostpartum

3Solutions

1.Reading comprehension (entrance exams)

Answer: A · A sense of duty to the ships

Why this is the answer

He climbs despite pain “because ships depended on him”, which shows a strong sense of responsibility or duty.

Answer

A · A sense of duty to the ships
2.Reading comprehension (entrance exams)

Answer: B · Modesty

Why this is the answer

Giving credit to others and not praising herself shows modesty.

Answer

B · Modesty
3.Pre-nursing math (entrance exam)

Answer: M = 20

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

3, 12, 16, 20, 20, 20, 33

Most frequent

M = 20 (3×)

Answer

M = 20
4.Pre-nursing math (entrance exam)

Answer: V = 706.5 in³

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.

Base area

3.14 × 5² = 78.5 in²

Volume

V = 78.5 × 9 = 706.5 in³

Answer

V = 706.5 in³
5.Human anatomy

Answer: B · Cerebellum

Why this is the answer

The cerebellum fine-tunes movement, posture and balance. Damage causes ataxia and an unsteady gait.

Answer

B · Cerebellum
6.Human anatomy

Answer: D · Between the left gastric vein and the oesophageal tributaries of the azygos vein

Why this is the answer

At the lower oesophagus, portal blood in the left gastric vein meets systemic blood in the oesophageal veins draining to the azygos system. High portal pressure dilates these veins.

Answer

D · Between the left gastric vein and the oesophageal tributaries of the azygos vein
7.Human physiology

Answer: B · Closure of the mitral and tricuspid valves

Why this is the answer

S1 ("lub") is caused by closure of the atrioventricular valves at the start of systole. S2 ("dub") is closure of the semilunar valves.

Answer

B · Closure of the mitral and tricuspid valves
8.Human physiology

Answer: C · Metabolic alkalosis

Why this is the answer

Vomiting removes HCl, and the stomach's acid secretion leaves bicarbonate in the blood. Volume loss and low potassium help keep the alkalosis going.

Answer

C · Metabolic alkalosis
9.Biology for nursing entrance exams

Answer: A · It uses channel or carrier proteins but no ATP

Why this is the answer

In facilitated diffusion, molecules that cannot cross the lipid bilayer pass through membrane proteins, still down their gradient and without ATP.

Answer

A · It uses channel or carrier proteins but no ATP
10.Biology for nursing entrance exams

Answer: B · Each antibody binds a specific antigen shape

Why this is the answer

An antibody's binding site fits one particular antigen shape, so the test reacts with hCG but not with unrelated proteins. Laboratory-made antibodies of one type (monoclonal antibodies) are used for this reason.

Answer

B · Each antibody binds a specific antigen shape
11.Chemistry for nursing entrance exams

Answer: A · High melting points; they conduct when dissolved

Why this is the answer

Strong attractions in the ionic lattice give high melting points. Solid NaCl does not conduct, but dissolved or melted it does, because the ions can move.

Answer

A · High melting points; they conduct when dissolved
12.Chemistry for nursing entrance exams

Answer: C · No reaction occurs

Why this is the answer

In single replacement, a more reactive metal displaces a less reactive one. Copper is less reactive than zinc, so it cannot displace zinc, and nothing happens. Zinc in copper sulfate would react.

Answer

C · No reaction occurs
13.English grammar & language usage (entrance exams)

Answer: A · is

Why this is the answer

Subjects such as mathematics, physics and news are singular despite the final s.

Answer

A · is
14.English grammar & language usage (entrance exams)

Answer: C · Summer

Why this is the answer

Seasons (summer, winter) are not capitalised. Languages (Spanish) and places (Texas) are, and “Last” begins the sentence.

Answer

C · Summer
15.Healthcare vocabulary (entrance exams)

Answer: D · Observable and measurable

Why this is the answer

Objective data can be observed or measured, such as vital signs or lab results.

Answer

D · Observable and measurable
16.Healthcare vocabulary (entrance exams)

Answer: D · Postpartum

Why this is the answer

Postpartum means after childbirth; antepartum is before and intrapartum is during labour, while neonatal refers to the newborn.

Answer

D · Postpartum

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