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

Passage: “Sleep helps the body repair muscles, supports memory and helps control appetite. Adults who regularly sleep too little have a higher risk of several health problems.” Which is the best title for the passage?

  1. AThe Long History of the Bed
  2. BWhy Sleep Matters for Health
  3. CHow to Build Strong Muscles
  4. DFoods That Help You Sleep
2.Reading comprehension (entrance exams)Hard

The author writes: “Online shopping is convenient, but it has hidden costs. Small local shops close, high streets empty and delivery vans add to traffic.” Which statement best describes the author’s view?

  1. AOnline shopping should be banned in every town.
  2. BOnline shopping has drawbacks that are easy to miss.
  3. COnline shopping is not convenient for anyone.
  4. DLocal shops are always cheaper than any online stores.
3.Pre-nursing math (entrance exam)Medium
0510152025nh0246810

The line graph shows the number of people in a waiting room every 2 hours, from hour 0 to hour 10. What was the largest increase Δ between two neighbouring readings (2 hours apart)?

Δ =
4.Pre-nursing math (entrance exam)Hard

After a 25% pay rise, a nursing assistant earns $362.5 a week. What was the weekly pay x before the rise, in dollars?

$362.5+25%
x = $
5.Human anatomyMedium

Which layer of the heart wall contains the cardiac muscle?

  1. AEpicardium
  2. BEndocardium
  3. CPericardium
  4. DMyocardium
6.Human anatomyHard

A pituitary tumour grows upwards and causes loss of both outer (temporal) halves of the visual field. Where is the visual pathway compressed?

  1. AOccipital cortex
  2. BRight optic nerve
  3. COptic chiasm
  4. DLeft optic tract
7.Human physiologyMedium

According to Poiseuille's law, if the radius of an arteriole halves, its resistance to flow:

  1. AIncreases about 16-fold
  2. BHalves
  3. CIncreases 4-fold
  4. DDoubles
8.Human physiologyHard

In long-standing aortic stenosis, how does the left ventricle adapt?

  1. AThinning of the wall with dilation
  2. BConcentric hypertrophy with a thicker wall
  3. CNo change because the valve is not part of the ventricle
  4. DAtrophy of the muscle due to less work
9.Biology for nursing entrance examsMedium

Sickle cell disease is caused by a single base change that replaces one amino acid in haemoglobin. What type of mutation is this?

  1. AA nonsense mutation
  2. BA frameshift mutation
  3. CA silent mutation
  4. DA missense mutation
10.Biology for nursing entrance examsHard

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

  1. A20%
  2. B70%
  3. C40%
  4. D30%
11.Chemistry for nursing entrance examsMedium

On an energy diagram, the products are at a lower energy than the reactants. What kind of reaction is shown?

  1. AEndothermic
  2. BReversible only
  3. CExothermic
  4. DNuclear
12.Chemistry for nursing entrance examsHard

Which of these is a neutralisation reaction?

  1. ACH₄ + 2O₂ → CO₂ + 2H₂O
  2. B2H₂O → 2H₂ + O₂
  3. CZn + CuSO₄ → ZnSO₄ + Cu
  4. DH₂SO₄ + 2KOH → K₂SO₄ + 2H₂O
13.English grammar & language usage (entrance exams)Medium

Which sentence uses a colon correctly to introduce an explanation?

  1. AShe had one reason for leaving: she was exhausted.
  2. BShe had: one reason for leaving she was exhausted.
  3. CShe had one reason: for leaving she was exhausted.
  4. DShe had one reason for: leaving she was exhausted.
14.English grammar & language usage (entrance exams)Hard

What does an ellipsis (…) show inside a quotation?

  1. AWords have been left out of the original text.
  2. BThe quoted speaker was shouting.
  3. CThe writer has added their own words.
  4. DThe quotation has ended.
15.Healthcare vocabulary (entrance exams)Medium

Choose the meaning of the word in bold: “The patient was cooperative during the examination.”

  1. AWilling to follow instructions
  2. BConfused and lost
  3. CVery sleepy
  4. DRefusing all care offered by the staff
16.Healthcare vocabulary (entrance exams)Hard

What does the term polycythaemia mean?

  1. AAn abnormally low number of red blood cells
  2. BAn abnormally low number of platelets
  3. CAn abnormally high number of red blood cells
  4. DAn abnormally high number of white blood cells

3Solutions

1.Reading comprehension (entrance exams)

Answer: B · Why Sleep Matters for Health

Why this is the answer

The passage is about the health benefits of sleep and the risks of too little. The other titles are too narrow or off-topic.

Answer

B · Why Sleep Matters for Health
2.Reading comprehension (entrance exams)

Answer: B · Online shopping has drawbacks that are easy to miss.

Why this is the answer

The author admits online shopping is convenient but points to less obvious costs, so the view is that it has hidden drawbacks. The author does not call for a ban.

Answer

B · Online shopping has drawbacks that are easy to miss.
3.Pre-nursing math (entrance exam)

Answer: Δ = 10

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°.

Changes between neighbours

0→2: −5, 2→4: +5, 4→6: +10, 6→8: −5, 8→10: −5

Largest increase

Δ = 10

Answer

Δ = 10
4.Pre-nursing math (entrance exam)

Answer: x = 290 $

Reverse percentages: when a value has already been increased or decreased by a percent, the new value is a percent of the original, not the other way round. After a 20% discount the price is 80% of the original, so original = new price ÷ 0.80. Never add the 20% back on to the new price.

Set up the equation

1.25 · x = 362.5

Solve

x = 362.5/1.25 = $290.00

Answer

x = $290.00
5.Human anatomy

Answer: D · Myocardium

Why this is the answer

The myocardium is the thick muscular middle layer. The endocardium lines the chambers and the epicardium covers the outside.

Answer

D · Myocardium
6.Human anatomy

Answer: C · Optic chiasm

Why this is the answer

Bitemporal hemianopia results from compression of the crossing nasal fibres at the optic chiasm, which lies directly above the pituitary gland.

Answer

C · Optic chiasm
7.Human physiology

Answer: A · Increases about 16-fold

Why this is the answer

Resistance is proportional to 1/r⁴, so halving the radius raises resistance by 2⁴ = 16. This is why small changes in arteriole diameter control blood flow so strongly.

Answer

A · Increases about 16-fold
8.Human physiology

Answer: B · Concentric hypertrophy with a thicker wall

Why this is the answer

Pressure overload makes the ventricular wall thicken (concentric hypertrophy) to keep wall stress normal. Volume overload, as in regurgitation, causes dilation instead.

Answer

B · Concentric hypertrophy with a thicker wall
9.Biology for nursing entrance exams

Answer: D · A missense mutation

Why this is the answer

A substitution that changes one amino acid is a missense mutation. In sickle cell disease, glutamic acid is replaced by valine, which makes haemoglobin molecules stick together at low oxygen levels.

Answer

D · A missense mutation
10.Biology for nursing entrance exams

Answer: A · 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

A · 20%
11.Chemistry for nursing entrance exams

Answer: C · Exothermic

Why this is the answer

If the products have less energy than the reactants, the difference has been released to the surroundings. That is an exothermic reaction.

Answer

C · Exothermic
12.Chemistry for nursing entrance exams

Answer: D · H₂SO₄ + 2KOH → K₂SO₄ + 2H₂O

Why this is the answer

Sulfuric acid reacts with potassium hydroxide to give a salt (K₂SO₄) and water. The others are decomposition, combustion and single replacement.

Answer

D · H₂SO₄ + 2KOH → K₂SO₄ + 2H₂O
13.English grammar & language usage (entrance exams)

Answer: A · She had one reason for leaving: she was exhausted.

Why this is the answer

A colon can follow an independent clause to introduce an explanation, a list or a quotation. It should not split a verb from its object.

Answer

A · She had one reason for leaving: she was exhausted.
14.English grammar & language usage (entrance exams)

Answer: A · Words have been left out of the original text.

Why this is the answer

An ellipsis marks an omission from quoted material. Words added by the writer go in square brackets instead.

Answer

A · Words have been left out of the original text.
15.Healthcare vocabulary (entrance exams)

Answer: A · Willing to follow instructions

Why this is the answer

Cooperative means willing to work with others and help.

Answer

A · Willing to follow instructions
16.Healthcare vocabulary (entrance exams)

Answer: C · An abnormally high number of red blood cells

Why this is the answer

Polycythaemia (US: polycythemia) is an excess of red blood cells, which makes the blood thicker.

Answer

C · An abnormally high number of red blood cells

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