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 line graph shows the number of visitors to a park each month. The line rises steadily from January to July, then falls from August to December. Which statement best describes the data?

  1. AVisits are highest in January and lowest in July.
  2. BVisits are the same in every month of the year.
  3. CVisits fall in the first half and rise in the second.
  4. DVisits peak around July and then fall towards December.
2.Reading comprehension (entrance exams)Hard

“Ms. Lee’s plants on the sunny windowsill grew tall and green. The same plants in the dark corner stayed small and turned yellow.” What conclusion is best supported?

  1. AThese plants need light to grow well.
  2. BThese plants grow best in the dark.
  3. CThese plants turn yellow in all homes.
  4. DThese plants need more water in corners.
3.Pre-nursing math (entrance exam)Medium

Calculate x = 16.1 ÷ 0.7 without a calculator. Give the exact value.

x = 16.1 ÷ 0.7
x =
4.Pre-nursing math (entrance exam)Hard

Solve for x: 8(x − 2) = x − 51.

8(x − 2) = x − 51
x =
5.Human anatomyMedium

The sympathetic nervous system leaves the central nervous system from which spinal segments?

  1. AThoracic and upper lumbar (T1–L2)
  2. BCervical only
  3. CSacral only (S2–S4)
  4. DCranial and sacral
6.Human anatomyHard

A large central disc prolapse at L4–L5 causes saddle anaesthesia, urinary retention and bilateral leg weakness. Which structure is compressed?

  1. AFemoral nerve
  2. BSciatic nerve in the buttock
  3. CThoracic spinal cord
  4. DCauda equina
7.Human physiologyMedium

Why can cardiac muscle not be tetanised like skeletal muscle?

  1. AIt is controlled only by hormones
  2. BIt has no calcium in the sarcoplasmic reticulum
  3. CIt is not striated
  4. DIts long refractory period lasts almost as long as the contraction
8.Human physiologyHard

In primary adrenal insufficiency (Addison's disease), which combination is expected?

  1. ALow sodium, low potassium and low ACTH
  2. BHigh sodium, high potassium and high ACTH
  3. CHigh sodium, low potassium and low ACTH
  4. DLow sodium, high potassium and high ACTH
9.Biology for nursing entrance examsMedium

Nerve cells release chemical messengers (neurotransmitters) stored in vesicles. By which process are they released?

  1. APhagocytosis
  2. BEndocytosis
  3. CExocytosis
  4. DOsmosis
10.Biology for nursing entrance examsHard

A DNA sample contains 30% adenine. What percentage of its bases are guanine?

  1. A70%
  2. B40%
  3. C20%
  4. D30%
11.Chemistry for nursing entrance examsMedium

Drops of water form on the outside of a glass of ice water. Where does this water come from?

  1. AWater vapour in the air condenses on the cold glass
  2. BThe ice evaporates through the glass
  3. CWater leaks through tiny holes in the glass
  4. DThe glass releases water when it gets cold
12.Chemistry for nursing entrance examsHard

For N₂ + 3H₂ → 2NH₃, 1 mol of N₂ is mixed with 2 mol of H₂. Which reactant is limiting?

  1. ANeither, because both are used up exactly
  2. BH₂, because 1 mol of N₂ would need 3 mol of H₂
  3. CNH₃, because it is the product
  4. DN₂, because there is less of it
13.English grammar & language usage (entrance exams)Medium

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

  1. Ahave been
  2. Bare
  3. Cwere
  4. Dis
14.English grammar & language usage (entrance exams)Hard

Which sentence uses the passive voice in the present progressive tense?

  1. AThe patient is being moved to a private room.
  2. BThe patient has been moved to a private room.
  3. CThe patient is moving to a private room.
  4. DThe nurses are moving the patient to a private room.
15.Healthcare vocabulary (entrance exams)Medium

Choose the meaning of the word in bold: “The nurse noticed a tremor in the patient’s hands.”

  1. AInvoluntary shaking
  2. BJoint stiffness
  3. CMuscle weakness
  4. DLoss of feeling
16.Healthcare vocabulary (entrance exams)Hard

What does the term gastrectomy mean?

  1. AInflammation of the stomach
  2. BPain in the stomach
  3. CSurgical removal of all or part of the stomach
  4. DVisual examination of the inside of the stomach with a scope

3Solutions

1.Reading comprehension (entrance exams)

Answer: D · Visits peak around July and then fall towards December.

Why this is the answer

The line rises to July and then falls, so visits peak around July and decrease towards December. The graph gives months, not seasons, which differ between hemispheres.

Answer

D · Visits peak around July and then fall towards December.
2.Reading comprehension (entrance exams)

Answer: A · These plants need light to grow well.

Why this is the answer

The only difference given is light, and the plants in sunlight grew better, so the plants need light to grow well.

Answer

A · These plants need light to grow well.
3.Pre-nursing math (entrance exam)

Answer: x = 23

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 = 16.1 ÷ 0.7 = 23

Answer

x = 23
4.Pre-nursing math (entrance exam)

Answer: x = −5

Solving equations: do the same thing to both sides until x stands alone. Undo operations in reverse order: first undo addition or subtraction, then multiplication or division. Clear parentheses with the distributive property, a(x + b) = ax + ab, and collect the x terms on one side. Check the answer by substituting it back.

Distribute

8x − 16 = x − 51

Collect terms

7x = −35

Divide

x = −35/7 = −5

Answer

x = −5
5.Human anatomy

Answer: A · Thoracic and upper lumbar (T1–L2)

Why this is the answer

Sympathetic preganglionic neurons lie in the lateral horn from T1 to L2. The parasympathetic system has a craniosacral outflow.

Answer

A · Thoracic and upper lumbar (T1–L2)
6.Human anatomy

Answer: D · Cauda equina

Why this is the answer

Below L1–L2 the canal holds the cauda equina. Central compression of these lumbar and sacral roots causes cauda equina syndrome, a surgical emergency.

Answer

D · Cauda equina
7.Human physiology

Answer: D · Its long refractory period lasts almost as long as the contraction

Why this is the answer

The plateau of the cardiac action potential gives a long refractory period, so the muscle relaxes before it can be excited again. This allows the heart to refill.

Answer

D · Its long refractory period lasts almost as long as the contraction
8.Human physiology

Answer: D · Low sodium, high potassium and high ACTH

Why this is the answer

Loss of aldosterone causes sodium loss and potassium retention. Low cortisol removes negative feedback, so ACTH rises and can cause skin pigmentation.

Answer

D · Low sodium, high potassium and high ACTH
9.Biology for nursing entrance exams

Answer: C · Exocytosis

Why this is the answer

In exocytosis, vesicles fuse with the cell membrane and release their contents outside the cell. Endocytosis and phagocytosis take material in, and osmosis is the movement of water.

Answer

C · Exocytosis
10.Biology for nursing entrance exams

Answer: C · 20%

Why this is the answer

Adenine = thymine = 30%, so A + T = 60%. The remaining 40% is split equally between G and C, giving 20% guanine (Chargaff's rule).

Answer

C · 20%
11.Chemistry for nursing entrance exams

Answer: A · Water vapour in the air condenses on the cold glass

Why this is the answer

Water vapour in the air touching the cold glass cools, loses energy and condenses into liquid droplets. Dew forms on grass the same way.

Answer

A · Water vapour in the air condenses on the cold glass
12.Chemistry for nursing entrance exams

Answer: B · H₂, because 1 mol of N₂ would need 3 mol of H₂

Why this is the answer

1 mol N₂ needs 3 mol H₂, but only 2 mol are present, so H₂ runs out first and is limiting. Having fewer moles of N₂ does not make it limiting; the ratio decides.

Answer

B · H₂, because 1 mol of N₂ would need 3 mol of H₂
13.English grammar & language usage (entrance exams)

Answer: D · is

Why this is the answer

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

Answer

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

Answer: A · The patient is being moved to a private room.

Why this is the answer

“Is being moved” combines the progressive (is being) with the passive (moved), and the doer is not the subject. B and C are active, and D is passive but in the present perfect.

Answer

A · The patient is being moved to a private room.
15.Healthcare vocabulary (entrance exams)

Answer: A · Involuntary shaking

Why this is the answer

A tremor is an involuntary, rhythmic shaking of a body part.

Answer

A · Involuntary shaking
16.Healthcare vocabulary (entrance exams)

Answer: C · Surgical removal of all or part of the stomach

Why this is the answer

Gastr/o (stomach) + -ectomy (removal). Gastritis is inflammation and gastroscopy examination with a scope.

Answer

C · Surgical removal of all or part of the stomach

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