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

Hand sanitiser is useful when soap and water are not available. Still, washing with soap and water is better when hands are visibly dirty, because sanitiser does not remove dirt and grease well. What can you infer from the passage?

  1. AHand sanitiser should never be used.
  2. BHand sanitiser removes dirt better than soap.
  3. CSoap and water are only needed in hospitals and clinics, not at home.
  4. DSoap and water are the better choice for greasy hands.
2.Reading comprehension (entrance exams)Hard

The author writes: “Some argue that we should spend money on space exploration only after solving problems on Earth. But research for space has led to inventions used in medicine and everyday life.” What is the purpose of the second sentence?

  1. ATo explain how rockets are built
  2. BTo show that space research also benefits Earth
  3. CTo agree that Earth’s problems come first
  4. DTo argue that space travel should end
3.Pre-nursing math (entrance exam)Medium

Calculate x = 2.4 ÷ 0.6 without a calculator. Give the exact value.

x = 2.4 ÷ 0.6
x =
4.Pre-nursing math (entrance exam)Hard

The sum of 3 consecutive integers is 174. What is the largest of them, x?

Σ = 174
x =
5.Human anatomyMedium

The hepatic portal vein is formed by the union of which two veins?

  1. ASuperior mesenteric vein and splenic vein
  2. BSuperior mesenteric vein and left renal vein
  3. CInferior vena cava and renal vein
  4. DHepatic vein and splenic vein
6.Human anatomyHard

A patient cannot abduct the arm beyond about 15° after a fracture of the surgical neck of the humerus, and has numbness over the lateral shoulder. Which nerve is most likely injured?

  1. ARadial nerve
  2. BSuprascapular nerve
  3. CAxillary nerve
  4. DLong thoracic nerve
7.Human physiologyMedium

Where is the heart's natural pacemaker?

  1. ABundle of His
  2. BAtrioventricular node
  3. CPurkinje fibres
  4. DSinoatrial node
8.Human physiologyHard

Why does a deep sea diver risk decompression sickness when surfacing quickly?

  1. AOxygen becomes toxic at the surface
  2. BThe lungs collapse when the pressure falls
  3. CNitrogen dissolved at high pressure forms bubbles as the pressure falls
  4. DCarbon dioxide cannot leave the lungs fast enough
9.Biology for nursing entrance examsMedium

Which statement about identical and non-identical twins is correct?

  1. ABoth kinds of twin always share all of their genes
  2. BNon-identical twins come from one zygote that splits in two
  3. CIdentical twins come from two eggs that are fertilised by a single sperm
  4. DIdentical twins come from one zygote; non-identical twins come from two
10.Biology for nursing entrance examsHard

Parts of a protein chain coil into alpha helices and fold into beta sheets, held by hydrogen bonds. Which level of protein structure is this?

  1. APrimary structure
  2. BSecondary structure
  3. CTertiary structure
  4. DQuaternary structure
11.Chemistry for nursing entrance examsMedium

What is the oxidation number of an element in its uncombined (elemental) form, such as Fe or O₂?

  1. A−1
  2. B0
  3. CIt equals the group number
  4. D+1
12.Chemistry for nursing entrance examsHard

Why does a burn from steam at 100 °C usually cause more damage than one from liquid water at 100 °C?

  1. ASteam particles are hotter than water particles at the same reading
  2. BSteam carries dissolved acid that damages the skin
  3. CLiquid water cannot pass any of its heat to the skin
  4. DSteam releases a large amount of extra energy as it condenses on the skin
13.English grammar & language usage (entrance exams)Medium

Choose the correct form: “She is the ___ nurse on the unit.”

  1. Amost experiencedest
  2. Bmore experienced
  3. Cmost experienced
  4. Dexperiencedest
14.English grammar & language usage (entrance exams)Hard

Which sentence uses semicolons correctly in a list?

  1. AThe team travelled to Austin, Texas; Denver, Colorado; and Reno, Nevada.
  2. BThe team travelled to Austin, Texas, Denver, Colorado; and Reno, Nevada.
  3. CThe team travelled to Austin Texas; Denver Colorado; and Reno Nevada.
  4. DThe team travelled to Austin; Texas, Denver; Colorado, and Reno; Nevada.
15.Healthcare vocabulary (entrance exams)Medium

Choose the meaning of the word in bold: “The patient’s skin felt clammy.”

  1. AItchy and red
  2. BRough and scaly
  3. CHot and dry
  4. DCool and damp
16.Healthcare vocabulary (entrance exams)Hard

Choose the meaning of the word in bold: “The patient’s mood was euphoric despite the bad news.”

  1. ADeeply sad
  2. BAngry and irritable
  3. CCalm and flat
  4. DIntensely happy

3Solutions

1.Reading comprehension (entrance exams)

Answer: D · Soap and water are the better choice for greasy hands.

Why this is the answer

If sanitiser does not remove dirt and grease well, soap and water are better for dirty or greasy hands. The passage does not say sanitiser should never be used.

Answer

D · Soap and water are the better choice for greasy hands.
2.Reading comprehension (entrance exams)

Answer: B · To show that space research also benefits Earth

Why this is the answer

The second sentence counters the first view by showing that space research has produced useful inventions on Earth.

Answer

B · To show that space research also benefits Earth
3.Pre-nursing math (entrance exam)

Answer: x = 4

Decimals: to add or subtract, line up the decimal points. To multiply, multiply as whole numbers and give the product as many decimal places as the two factors have together. To divide by a decimal, move the decimal point of both numbers the same number of places to the right until the divisor is a whole number.

Move the decimal points and divide

Multiply both numbers by 10 so that the divisor is a whole number.

x = 2.4 ÷ 0.6 = 4

Answer

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

Answer: x = 59

Word problems: name the unknown (for example x = number of months), write the facts as one equation, solve it, and check that the answer makes sense in the story. A fixed fee plus a rate per unit gives total = fee + rate × units.

Equation

n + (n + 1) + (n + 2) = 174

Solve

3n + 3 = 174 → n = 57
x = 59

Answer

x = 59
5.Human anatomy

Answer: A · Superior mesenteric vein and splenic vein

Why this is the answer

The portal vein forms behind the neck of the pancreas from the superior mesenteric and splenic veins. It carries nutrient-rich blood to the liver.

Answer

A · Superior mesenteric vein and splenic vein
6.Human anatomy

Answer: C · Axillary nerve

Why this is the answer

The axillary nerve wraps around the surgical neck of the humerus. It supplies deltoid and teres minor and the skin over the lateral shoulder ("regimental badge" area).

Answer

C · Axillary nerve
7.Human physiology

Answer: D · Sinoatrial node

Why this is the answer

The SA node depolarises spontaneously at the fastest rate and sets the heart rhythm. The AV node delays the impulse before it spreads to the ventricles.

Answer

D · Sinoatrial node
8.Human physiology

Answer: C · Nitrogen dissolved at high pressure forms bubbles as the pressure falls

Why this is the answer

At depth more nitrogen dissolves in the tissues. If pressure falls too fast it comes out of solution as bubbles in tissues and blood, causing "the bends".

Answer

C · Nitrogen dissolved at high pressure forms bubbles as the pressure falls
9.Biology for nursing entrance exams

Answer: D · Identical twins come from one zygote; non-identical twins come from two

Why this is the answer

Identical twins form when one zygote splits, so they share the same genes. Non-identical (fraternal) twins come from two eggs fertilised by two different sperm, so they are as alike as ordinary siblings.

Answer

D · Identical twins come from one zygote; non-identical twins come from two
10.Biology for nursing entrance exams

Answer: B · Secondary structure

Why this is the answer

Primary structure is the amino acid sequence. Secondary structure is local folding into helices and sheets by hydrogen bonds. Tertiary is the whole 3D shape of one chain, and quaternary is several chains together, as in haemoglobin.

Answer

B · Secondary structure
11.Chemistry for nursing entrance exams

Answer: B · 0

Why this is the answer

An element on its own has an oxidation number of 0, because there is no transfer or unequal sharing of electrons with a different element.

Answer

B · 0
12.Chemistry for nursing entrance exams

Answer: D · Steam releases a large amount of extra energy as it condenses on the skin

Why this is the answer

When steam condenses to liquid on skin, it gives off its heat of vaporisation (a large amount), and then the hot water cools further. Liquid water at the same temperature transfers only the second part.

Answer

D · Steam releases a large amount of extra energy as it condenses on the skin
13.English grammar & language usage (entrance exams)

Answer: C · most experienced

Why this is the answer

“Experienced” is a long adjective, so its superlative is “most experienced”. “The” and the comparison with the whole unit call for the superlative.

Answer

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

Answer: A · The team travelled to Austin, Texas; Denver, Colorado; and Reno, Nevada.

Why this is the answer

When items in a series contain their own commas, semicolons separate the items so the reader can tell where each one ends.

Answer

A · The team travelled to Austin, Texas; Denver, Colorado; and Reno, Nevada.
15.Healthcare vocabulary (entrance exams)

Answer: D · Cool and damp

Why this is the answer

Clammy skin is cool and moist with sweat.

Answer

D · Cool and damp
16.Healthcare vocabulary (entrance exams)

Answer: D · Intensely happy

Why this is the answer

Euphoric means feeling intense happiness or excitement.

Answer

D · Intensely happy

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