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

“After the long drought, the first rain fell. Farmers stood in their fields with their faces turned up to the sky.” How do the farmers most likely feel?

  1. AAngry
  2. BBored
  3. CAfraid of the storm
  4. DRelieved
2.Reading comprehension (entrance exams)Hard

The author writes: “It is tempting to think that more vitamins are always better. Yet some vitamins, such as vitamin A, can build up in the body and become harmful in large doses.” What assumption does the author challenge?

  1. AThat vitamin A is a vitamin
  2. BThat taking more vitamins is always healthy
  3. CThat the body needs vitamins
  4. DThat vitamins are found in food
3.Pre-nursing math (entrance exam)Medium

A pair of shoes costs $108.99. It is on sale at 15% off, and a sales tax of 5% is added to the sale price. What is the final price P? Round to the nearest cent.

$108.99−15%+5%
P = $
4.Pre-nursing math (entrance exam)Hard

On a map, 1 cm represents 10 km. Two towns are 105 km apart. How far apart x are they on the map, in centimetres?

1 cm : 10 km105 km
x = cm
5.Human anatomyMedium

Which is the outermost layer of the meninges?

  1. ADura mater
  2. BPia mater
  3. CChoroid plexus
  4. DArachnoid mater
6.Human anatomyHard

A footballer takes a blow to the outside of the planted knee. Which combination of injuries is classically called the "unhappy triad"?

  1. APosterior cruciate ligament, lateral collateral ligament and lateral meniscus
  2. BMedial collateral ligament, lateral collateral ligament and patella
  3. CAnterior cruciate ligament, posterior cruciate ligament and patellar ligament
  4. DAnterior cruciate ligament, medial collateral ligament and medial meniscus
7.Human physiologyMedium

Which hormonal event triggers ovulation?

  1. AA surge of prolactin
  2. BA fall in oestrogen
  3. CA rise in progesterone from the corpus luteum
  4. DA surge of luteinising hormone (LH)
8.Human physiologyHard

Why does left ventricular failure cause pulmonary oedema?

  1. AThe bronchial arteries become blocked
  2. BPlasma oncotic pressure in the lungs rises sharply
  3. CThe right ventricle pumps less blood into the lungs
  4. DRaised left atrial pressure increases pulmonary capillary hydrostatic pressure
9.Biology for nursing entrance examsMedium

How does a scientific theory differ from a hypothesis?

  1. AA theory can never be changed by new data
  2. BA theory is a guess that has not been tested yet
  3. CA theory is a single experiment's result
  4. DIt is a broad explanation backed by much tested evidence
10.Biology for nursing entrance examsHard

When caring for a patient with C. difficile infection, why is hand washing with soap and water preferred over alcohol hand rub?

  1. ASoap kills the spores, but alcohol only kills viruses and not bacteria
  2. BAlcohol does not kill its spores, but washing removes them
  3. CSoap and water are faster than alcohol rub
  4. DAlcohol makes the spores more infectious
11.Chemistry for nursing entrance examsMedium

At STP (0 °C and 1 atm), what volume does 1 mole of an ideal gas occupy?

  1. A273 L
  2. B6.02 L
  3. C22.4 L
  4. D1.0 L
12.Chemistry for nursing entrance examsHard

Why is gamma radiation used to sterilise sealed medical supplies such as syringes?

  1. AIt adds a protective chemical coating to the items
  2. BIt is stopped by the packaging, so it only cleans the outside
  3. CIt heats the items to very high temperatures, so the microbes are burned away inside the pack
  4. DIt passes through the packaging and kills microbes without making the items radioactive
13.English grammar & language usage (entrance exams)Medium

Which sentence punctuates a quotation within a quotation correctly in American style?

  1. AThe nurse said, ‘The doctor told me, ‘Wait here.’’
  2. BThe nurse said, ‘The doctor told me, “Wait here.”’
  3. CThe nurse said, “The doctor told me, “Wait here.””
  4. DThe nurse said, “The doctor told me, ‘Wait here.’”
14.English grammar & language usage (entrance exams)Hard

Which revision is the most concise without losing meaning? “In my personal opinion, I think the plan will probably work.”

  1. AIn my personal opinion, the plan will probably work.
  2. BI personally think, in my opinion, the plan will work.
  3. CI think the plan will probably work.
  4. DPersonally, in my opinion, I think the plan will work.
15.Healthcare vocabulary (entrance exams)Medium

Choose the meaning of the word in bold: “The unit has strict protocols for infection control.”

  1. AYearly budgets
  2. BStaff uniforms
  3. COfficial procedures or rules
  4. DSeparate buildings
16.Healthcare vocabulary (entrance exams)Hard

Choose the meaning of the word in bold: “The surgeon explained that the tumour was inoperable.”

  1. ANot cancerous and completely harmless
  2. BGrowing very quickly
  3. CUnable to be treated by surgery
  4. DCompletely removed

3Solutions

1.Reading comprehension (entrance exams)

Answer: D · Relieved

Why this is the answer

After a long drought, the rain is what the farmers needed, so standing in it with faces turned up shows relief and joy.

Answer

D · Relieved
2.Reading comprehension (entrance exams)

Answer: B · That taking more vitamins is always healthy

Why this is the answer

The author questions the belief that more vitamins are always better, pointing out that some can be harmful in excess.

Answer

B · That taking more vitamins is always healthy
3.Pre-nursing math (entrance exam)

Answer: P = 97.27 $

Discounts and sales tax: a discount of d% leaves (100 − d)% of the price; a tax of t% adds t% of the discounted price. Work in that order: price × (1 − d/100), then × (1 + t/100). Round money to the nearest cent only at the end.

Sale price

$108.99 × 0.85 = 92.6415 ≈ $92.64

Add the tax

P = $92.64 × 1.05 = 97.272 ≈ $97.27

Answer

P = $97.27
4.Pre-nursing math (entrance exam)

Answer: x = 10.5 cm

Rates and scales: speed = distance ÷ time, with the time in the unit of the answer (2 h 15 min = 2.25 h, because 15 min = 15/60 h). A map scale is a proportion: 1 cm on the map stands for a fixed distance on the ground, so multiply the map distance by it.

Divide by the scale

x = 105/10 = 10.5 cm

Answer

x = 10.5 cm
5.Human anatomy

Answer: A · 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

A · Dura mater
6.Human anatomy

Answer: D · Anterior cruciate ligament, medial collateral ligament and medial meniscus

Why this is the answer

A valgus force with rotation tears the MCL, the ACL and the medial meniscus, which is firmly attached to the MCL.

Answer

D · Anterior cruciate ligament, medial collateral ligament and medial meniscus
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: D · Raised left atrial pressure increases pulmonary capillary hydrostatic pressure

Why this is the answer

A failing left ventricle backs up pressure into the left atrium and pulmonary veins. High capillary hydrostatic pressure pushes fluid into the lung interstitium and alveoli.

Answer

D · Raised left atrial pressure increases pulmonary capillary hydrostatic pressure
9.Biology for nursing entrance exams

Answer: D · It is a broad explanation backed by much tested evidence

Why this is the answer

A theory explains a wide range of observations and has survived repeated testing. It can still be revised if strong new evidence appears.

Answer

D · It is a broad explanation backed by much tested evidence
10.Biology for nursing entrance exams

Answer: B · Alcohol does not kill its spores, but washing removes them

Why this is the answer

C. difficile spores resist alcohol. Washing with soap and running water physically removes spores from the hands, so it is used along with gloves and contact precautions.

Answer

B · Alcohol does not kill its spores, but washing removes them
11.Chemistry for nursing entrance exams

Answer: C · 22.4 L

Why this is the answer

One mole of any ideal gas at 0 °C and 1 atm occupies 22.4 L, called the molar volume. It does not depend on which gas it is.

Answer

C · 22.4 L
12.Chemistry for nursing entrance exams

Answer: D · It passes through the packaging and kills microbes without making the items radioactive

Why this is the answer

Gamma rays penetrate plastic packaging and damage the DNA of microbes, killing them. Items can be sterilised after sealing, and exposure to gamma rays does not make them radioactive.

Answer

D · It passes through the packaging and kills microbes without making the items radioactive
13.English grammar & language usage (entrance exams)

Answer: D · The nurse said, “The doctor told me, ‘Wait here.’”

Why this is the answer

In American English, the main quotation uses double quotation marks and a quotation inside it uses single marks. British publishers often reverse this: single marks outside, double inside.

Answer

D · The nurse said, “The doctor told me, ‘Wait here.’”
14.English grammar & language usage (entrance exams)

Answer: C · I think the plan will probably work.

Why this is the answer

“In my personal opinion” and “I think” repeat one idea, so keeping only “I think” removes the redundancy while keeping the meaning.

Answer

C · I think the plan will probably work.
15.Healthcare vocabulary (entrance exams)

Answer: C · Official procedures or rules

Why this is the answer

A protocol is an official set of rules or procedures for doing something.

Answer

C · Official procedures or rules
16.Healthcare vocabulary (entrance exams)

Answer: C · Unable to be treated by surgery

Why this is the answer

Inoperable means that surgery cannot be used to remove or treat the problem safely.

Answer

C · Unable to be treated by surgery

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