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 give the meaning of a difficult word
  2. BTo list the chapters of the book
  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: “Some readers will say a four-day work week would hurt productivity. Trials in several companies, however, found that output stayed the same while staff were less stressed.” How is the passage structured?

  1. ATwo products are compared on price and quality.
  2. BA story is told and then a lesson is drawn from it.
  3. CAn objection is stated and then answered with evidence.
  4. DA process is described step by step in time order.
3.Pre-nursing math (entrance exam)Medium

A clinic saw 660 patients in March and 858 in April. What is the percent increase p?

660 → 858
p = %
4.Pre-nursing math (entrance exam)Hard

A hospital fundraiser has 144 raffle tickets. 1/4 of them are sold on the first day, and 1/4 of the remaining tickets are sold on the second day. How many tickets x are still unsold?

1441/41/4
x =
5.Human anatomyMedium

Which spinal nerve roots form the brachial plexus?

  1. AC1 to C4
  2. BT1 to T5
  3. CC3 to C7
  4. DC5 to T1
6.Human anatomyHard

Which coronary artery most often supplies the sinoatrial (SA) node?

  1. ALeft anterior descending artery
  2. BCircumflex artery
  3. CRight coronary artery
  4. DLeft main coronary artery
7.Human physiologyMedium

Which hormonal event triggers ovulation?

  1. AA surge of prolactin
  2. BA rise in progesterone from the corpus luteum
  3. CA fall in oestrogen
  4. DA surge of luteinising hormone (LH)
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. BNerves pass signals to their targets by releasing a chemical
  3. CThe vagus nerve speeds up the heart
  4. DNerve impulses spread through the fluid directly as electricity
9.Biology for nursing entrance examsMedium

Which polymer is correctly matched with its monomer?

  1. ADNA and amino acid
  2. BGlycogen and fatty acid
  3. CStarch and glucose
  4. DProtein and nucleotide
10.Biology for nursing entrance examsHard

A single-celled organism has a nucleus, no cell wall and swims using cilia. In which group is it best placed?

  1. AFungi
  2. BBacteria
  3. CProtists
  4. DPlants
11.Chemistry for nursing entrance examsMedium

How does a higher temperature usually affect how much of a solid dissolves in water?

  1. AMore solid dissolves
  2. BThe solid turns into a gas
  3. CLess solid dissolves
  4. DIt has no effect on solids
12.Chemistry for nursing entrance examsHard

Why does water have an unusually high boiling point for such a small molecule?

  1. AIt is an ionic compound
  2. BIts O–H bonds break when it boils
  3. CIts molecules are very heavy
  4. DStrong hydrogen bonds between its molecules must be broken
13.English grammar & language usage (entrance exams)Medium

Choose the correct word: “The patient rode a ___ bike during rehab.”

  1. Astationery
  2. Bstationairy
  3. Cstationary
  4. Dstationery’s
14.English grammar & language usage (entrance exams)Hard

Which revision eliminates the redundancy? “The two twins were identical in appearance and looked exactly alike.”

  1. AThe twins were identical in appearance and alike.
  2. BThe twins looked exactly alike.
  3. CThe two twins looked identical and alike.
  4. DThe two twins looked exactly alike in appearance.
15.Healthcare vocabulary (entrance exams)Medium

Choose the meaning of the word in bold: “The clinic offers flexible appointment times.”

  1. AVery long
  2. BFixed and strict
  3. CVery short
  4. DAble to be changed
16.Healthcare vocabulary (entrance exams)Hard

Choose the word that best completes the sentence: “The two drugs are ___, so they can safely be given through the same IV line.”

  1. Ainterchangeable
  2. Bcontraindicated
  3. Ccompatible
  4. Dincompatible

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: C · An objection is stated and then answered with evidence.

Why this is the answer

The author first states a possible objection and then responds with evidence from company trials, a counterargument-and-rebuttal structure.

Answer

C · An objection is stated and then answered with evidence.
3.Pre-nursing math (entrance exam)

Answer: p = 30 %

Percent means per hundred: p% of a number is (p/100) × the number. To find what percent A is of B, divide A by B and multiply by 100. A percent change compares the change with the original value: percent change = (new − original)/original × 100.

Change

858 − 660 = 198

Compare with the original

p = 198/660 × 100 = 30%

Answer

p = 30%
4.Pre-nursing math (entrance exam)

Answer: x = 81

Multiplying and dividing fractions: first turn mixed numbers into improper fractions (2 1/3 = 7/3). To multiply, multiply the numerators and the denominators. To divide, keep the first fraction, change ÷ to ×, and flip the second fraction (multiply by its reciprocal). Cancel common factors and write the result in lowest terms as a mixed number.

After the first day

144 − 1/4·144 = 144 − 36 = 108

After the second day

108 − 1/4·108 = 108 − 27 = 81

Answer

x = 81
5.Human anatomy

Answer: D · 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

D · C5 to T1
6.Human anatomy

Answer: C · Right coronary artery

Why this is the answer

The SA nodal artery arises from the right coronary artery in roughly 60% of people and from the circumflex artery in the rest.

Answer

C · Right coronary artery
7.Human physiology

Answer: D · A surge of luteinising hormone (LH)

Why this is the answer

Rising oestrogen from the dominant follicle triggers an LH surge from the anterior pituitary, which causes ovulation about a day later.

Answer

D · A surge of luteinising hormone (LH)
8.Human physiology

Answer: B · 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

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

Answer: C · Starch and glucose

Why this is the answer

Starch and glycogen are polymers of glucose, proteins are polymers of amino acids and DNA is a polymer of nucleotides. Fatty acids are parts of lipids, which are not true polymers.

Answer

C · Starch and glucose
10.Biology for nursing entrance exams

Answer: C · Protists

Why this is the answer

A nucleus rules out bacteria. No cell wall rules out fungi and plants. Single-celled eukaryotes such as Paramecium, which swims with cilia, are classed as protists.

Answer

C · Protists
11.Chemistry for nursing entrance exams

Answer: A · More solid dissolves

Why this is the answer

For most solids, solubility increases with temperature. Gases behave the other way: they are less soluble in warm water.

Answer

A · More solid dissolves
12.Chemistry for nursing entrance exams

Answer: D · Strong hydrogen bonds between its molecules must be broken

Why this is the answer

Boiling separates molecules from each other. Water's hydrogen bonds need more energy to overcome than the weak forces between similar-sized molecules such as methane.

Answer

D · Strong hydrogen bonds between its molecules must be broken
13.English grammar & language usage (entrance exams)

Answer: C · stationary

Why this is the answer

“Stationary” means not moving. “Stationery” means writing paper and envelopes: e for envelope.

Answer

C · stationary
14.English grammar & language usage (entrance exams)

Answer: B · The twins looked exactly alike.

Why this is the answer

A removes the repeated ideas: “two” is implied by “twins”, and “identical in appearance” repeats “looked exactly alike”.

Answer

B · The twins looked exactly alike.
15.Healthcare vocabulary (entrance exams)

Answer: D · Able to be changed

Why this is the answer

Flexible means able to change or adapt easily.

Answer

D · Able to be changed
16.Healthcare vocabulary (entrance exams)

Answer: C · compatible

Why this is the answer

Compatible drugs can be mixed without a harmful reaction; incompatible drugs may form a precipitate or lose effect.

Answer

C · compatible

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