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 footnote at the bottom of a page reads: “1. Data from the National Health Survey, 2022.” What is the purpose of the footnote?

  1. ATo list the chapters of the book
  2. BTo give the meaning of a difficult word
  3. CTo tell the reader to turn the page
  4. DTo show the source of the information
2.Reading comprehension (entrance exams)Hard

The author writes: “Most people in my office prefer tea to coffee. Therefore, tea is the most popular drink in the country.” What is the main flaw?

  1. ACoffee is more expensive than tea.
  2. BOne office may not represent the country.
  3. CThe author does not drink tea or coffee.
  4. DTea and coffee contain similar amounts of water.
3.Pre-nursing math (entrance exam)Medium

On a hospital floor the ratio of nurses to nursing assistants is 4 : 9. There are 48 nurses. How many nursing assistants x are there?

4 : 948
x =
4.Pre-nursing math (entrance exam)Hard
ABCA: 5%B: 15%C: 80%

The pie chart shows how a hospital’s 1200 employees are split between departments A to C. How many employees x work in department C?

1200
x =
5.Human anatomyMedium

The rotator cuff consists of supraspinatus, infraspinatus, teres minor and which other muscle?

  1. ADeltoid
  2. BSubscapularis
  3. CLatissimus dorsi
  4. DTeres major
6.Human anatomyHard

In the fetus, the ductus arteriosus connects the pulmonary trunk to the aorta. What does it become after birth?

  1. AFossa ovalis
  2. BLigamentum venosum
  3. CLigamentum teres
  4. DLigamentum arteriosum
7.Human physiologyMedium

Why do myelinated axons conduct action potentials faster than unmyelinated ones?

  1. AMyelin contains more sodium channels
  2. BMyelin makes the axon thinner
  3. CMyelin releases neurotransmitter along the axon
  4. DThe impulse jumps between nodes of Ranvier
8.Human physiologyHard

In Otto Loewi's classic experiment, fluid from a vagus-stimulated frog heart slowed a second heart. What did this show?

  1. AThe heart beats without any nerve supply
  2. BNerve impulses spread through the fluid directly as electricity
  3. CNerves pass signals to their targets by releasing a chemical
  4. DThe vagus nerve speeds up the heart
9.Biology for nursing entrance examsMedium

What is the difference between an antiseptic and a disinfectant?

  1. AAntiseptics are antibiotics; disinfectants are vaccines
  2. BAntiseptics are used on objects and floors; disinfectants are used on skin
  3. CAntiseptics are used on living tissue; disinfectants are used on objects
  4. DAntiseptics kill all spores; disinfectants kill none
10.Biology for nursing entrance examsHard

A dihybrid cross gives offspring in a ratio of about 9 : 3 : 3 : 1. What does this suggest?

  1. AOne parent is AaBb and the other is homozygous aabb
  2. BBoth parents are homozygous dominant for both genes
  3. CBoth parents are heterozygous for two genes that assort independently
  4. DThe two genes are tightly linked on the same chromosome
11.Chemistry for nursing entrance examsMedium

0.5 mol of KCl is dissolved to make 250 mL of solution. What is its molarity?

  1. A125 M
  2. B2 M
  3. C0.125 M
  4. D0.5 M
12.Chemistry for nursing entrance examsHard

In Rutherford's gold foil experiment, most alpha particles passed straight through the foil but a few bounced back. What did this show?

  1. AAtoms are solid, indivisible spheres
  2. BElectrons move in fixed circular orbits
  3. CElectrons are spread evenly through a positive "pudding"
  4. DAn atom is mostly empty space with a small, dense, positive nucleus
13.English grammar & language usage (entrance exams)Medium

Which phrase uses a hyphen correctly in a compound adjective with a number?

  1. Aa three days-course
  2. Ba three day-course
  3. Ca three-day course
  4. Da three-days course
14.English grammar & language usage (entrance exams)Hard

Which sentence contains an error in subject–verb agreement?

  1. AThe album of photos is poor.
  2. BThe photos in the album are poor.
  3. CThe quality of the photos are poor.
  4. DEach photo in the album is poor.
15.Healthcare vocabulary (entrance exams)Medium

Choose the meaning of the word in bold: “The patient reported pruritus on both arms.”

  1. ABurning pain
  2. BItching
  3. CSwelling
  4. DNumbness
16.Healthcare vocabulary (entrance exams)Hard

Choose the meaning of the word in bold: “The new policy will augment the number of nurses on night shifts.”

  1. AIncrease
  2. BReduce
  3. CReplace
  4. DCount

3Solutions

1.Reading comprehension (entrance exams)

Answer: D · To show the source of the information

Why this is the answer

The footnote names where the data came from, so its purpose is to give the source of the information.

Answer

D · To show the source of the information
2.Reading comprehension (entrance exams)

Answer: B · One office may not represent the country.

Why this is the answer

The author draws a national conclusion from one office. A small, unrepresentative sample cannot show what the whole country prefers.

Answer

B · One office may not represent the country.
3.Pre-nursing math (entrance exam)

Answer: x = 108

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

48/4 = 12

Assistants

x = 9 × 12 = 108

Answer

x = 108
4.Pre-nursing math (entrance exam)

Answer: x = 960

Reading charts and tables: read the title, the categories and the scale first. On a bar chart or line graph, follow the top of the bar or the point across to the vertical axis; every gridline is one step of the scale. A pie chart shows parts of a whole: a sector of p% stands for p% of the total and has an angle of p% of 360°.

Percent of the total

x = 0.8 × 1200 = 960

Answer

x = 960
5.Human anatomy

Answer: B · Subscapularis

Why this is the answer

SITS: supraspinatus, infraspinatus, teres minor and subscapularis. Teres major is close by but is not part of the cuff.

Answer

B · Subscapularis
6.Human anatomy

Answer: D · Ligamentum arteriosum

Why this is the answer

The ductus arteriosus closes after birth and becomes the ligamentum arteriosum. The foramen ovale becomes the fossa ovalis and the ductus venosus becomes the ligamentum venosum.

Answer

D · Ligamentum arteriosum
7.Human physiology

Answer: D · The impulse jumps between nodes of Ranvier

Why this is the answer

Myelin insulates the axon, so action potentials are only generated at the nodes of Ranvier. This saltatory conduction is much faster.

Answer

D · The impulse jumps between nodes of Ranvier
8.Human physiology

Answer: C · Nerves pass signals to their targets by releasing a chemical

Why this is the answer

The fluid carried "Vagusstoff", later identified as acetylcholine. This was the first clear evidence for chemical neurotransmission.

Answer

C · Nerves pass signals to their targets by releasing a chemical
9.Biology for nursing entrance exams

Answer: C · Antiseptics are used on living tissue; disinfectants are used on objects

Why this is the answer

Antiseptics, such as chlorhexidine, are gentle enough for skin and mucous membranes. Disinfectants, such as bleach, are too harsh for tissue and are used on surfaces and equipment.

Answer

C · Antiseptics are used on living tissue; disinfectants are used on objects
10.Biology for nursing entrance exams

Answer: C · Both parents are heterozygous for two genes that assort independently

Why this is the answer

AaBb × AaBb with unlinked genes gives 9 A_B_ : 3 A_bb : 3 aaB_ : 1 aabb. Linked genes or other parent genotypes give different ratios.

Answer

C · Both parents are heterozygous for two genes that assort independently
11.Chemistry for nursing entrance exams

Answer: B · 2 M

Why this is the answer

250 mL = 0.250 L. M = mol ÷ L = 0.5 ÷ 0.250 = 2 M. Dividing by 250 without converting would give a wrong answer.

Answer

B · 2 M
12.Chemistry for nursing entrance exams

Answer: D · An atom is mostly empty space with a small, dense, positive nucleus

Why this is the answer

Most particles passing through meant most of the atom is empty; the rare sharp rebounds meant a tiny region of concentrated positive charge and mass. This replaced the plum-pudding model with the nuclear model.

Answer

D · An atom is mostly empty space with a small, dense, positive nucleus
13.English grammar & language usage (entrance exams)

Answer: C · a three-day course

Why this is the answer

A number + unit placed before a noun is hyphenated, and the unit stays singular: a three-day course, a ten-year-old child.

Answer

C · a three-day course
14.English grammar & language usage (entrance exams)

Answer: C · The quality of the photos are poor.

Why this is the answer

In the first sentence the subject is “quality” (singular), so it should be “is poor”. The others agree.

Answer

C · The quality of the photos are poor.
15.Healthcare vocabulary (entrance exams)

Answer: B · Itching

Why this is the answer

Pruritus is the medical term for itching of the skin.

Answer

B · Itching
16.Healthcare vocabulary (entrance exams)

Answer: A · Increase

Why this is the answer

To augment is to make larger or add to.

Answer

A · Increase

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