HESI A2-style practice: math, English, A&P, biology and chemistry: cram pack

Formula sheets, the key method steps for every topic and 18 practice problems, with full solutions at the back.

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1Formulas and methods

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.

Nursing math & unit conversions

Metric steps
1 kg = 1000 g, 1 g = 1000 mg, 1 mg = 1000 mcg, 1 L = 1000 mL
Weight and length
1 kg = 2.2 lb, 1 lb = 16 oz, 1 in = 2.54 cm, 1 ft = 12 in
Household measures
1 tsp = 5 mL, 1 tbsp = 15 mL, 1 fl oz = 30 mL, 1 cup = 8 fl oz = 240 mL
Temperature
°C = (°F − 32)·5/9, °F = °C·9/5 + 32
24-hour clock
PM hours 1–11: add 12; 12 AM = 00:xx; 12 PM = 12:xx
Dose rate
mcg/min × 60/1000 = mg/h
Laboratory factors
glucose 1 mmol/L = 18 mg/dL; creatinine 1 mg/dL = 88.4 µmol/L; Hb 1 g/dL = 10 g/L

Method

  1. Write the given quantity with its unit and the unit you want.
  2. Pick the equivalent: 1000 between kg, g, mg and mcg or L and mL; 1 kg = 2.2 lb; 1 tsp = 5 mL, 1 tbsp = 15 mL, 1 fl oz = 30 mL, 1 cup = 240 mL.
  3. Write it as a fraction so that the unwanted unit cancels; for a rate, use one fraction per unit that changes.
  4. Check the direction: a smaller unit gives a bigger number.
  5. Round only the final answer, to the precision the question names.

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.

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.

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.

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.

2Practice problems

1.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. By how much Δ did the value change from hour 2 to hour 4? Use a negative number for a decrease.

Δ =
2.Pre-nursing math (entrance exam)Hard
20242025A11050B17580C9090

The table shows the number of volunteers at centres A, B and C in 2024 and 2025. What percent p of all 2025 volunteers were at centre A? Round to the nearest whole number.

p = %
3.Nursing math & unit conversionsMedium
12345678910111215:10?3:10 PM5:10 PM2:10 PM3:10 AM

Practice exercise (made-up values, not clinical guidance). A dose is charted at 15:10 (24-hour clock). Which entry is the same time on the 12-hour clock? Click it.

15:10
  1. 13:10 PM
  2. 25:10 PM
  3. 32:10 PM
  4. 43:10 AM
4.Nursing math & unit conversionsHard
1 tsp · 4/day · 14 d? mL1 tsp = 5 mL

Practice exercise (made-up values, not clinical guidance). A prescription reads 1 tsp of an oral suspension four times a day for 14 days. Using 1 tsp = 5 mL, how many mL V are needed for the whole course?

1 tspfour times a day14 days1 tsp = 5 mL
V = mL
5.Reading comprehension (entrance exams)Medium

Kelp is a type of large brown algae that grows in cold ocean water. Kelp forests provide food and shelter for many animals, including sea otters, which eat the sea urchins that feed on kelp. How do sea otters help kelp forests?

  1. AThey keep the water warm for the kelp.
  2. BThey eat the kelp before it grows too tall.
  3. CThey eat the sea urchins that feed on kelp.
  4. DThey plant new kelp on the ocean floor.
6.Reading comprehension (entrance exams)Hard

“The marathon was a test of will as much as of strength. By mile 20, Ana’s legs burned, but she pictured her mother waiting at the finish line and kept going.” What does the phrase “a test of will” mean here?

  1. AA legal document about property
  2. BA test of how fast her legs are
  3. CA challenge of determination
  4. DA written exam about running
7.Healthcare vocabulary (entrance exams)Medium

Choose the meaning of the word in bold: “Young children are more susceptible to dehydration.”

  1. AUnaware of
  2. BProtected against
  3. CFrightened of
  4. DEasily affected by
8.Healthcare vocabulary (entrance exams)Hard

What does the term bronchiectasis mean?

  1. AInflammation of the airways
  2. BNarrowing of the airways during an asthma attack
  3. CRemoval of an airway
  4. DPermanent widening of the airways
9.English grammar & language usage (entrance exams)Medium

Choose the correct verb: “Neither the doctor nor the nurses ___ available.”

  1. Aare
  2. Bhas been
  3. Cis
  4. Dwas
10.English grammar & language usage (entrance exams)Hard

Which choice is the best transition? “The patient missed several doses. ___, the infection returned.”

  1. ANevertheless
  2. BIn contrast
  3. CAs a result
  4. DFor instance
11.Human anatomyMedium

Where does the spinal cord normally end in an adult?

  1. AAt the level of the sacrum
  2. BAt about the level of T10
  3. CAt about the level of vertebrae L1–L2
  4. DAt the coccyx
12.Human anatomyHard

A blow to the side of the head at the pterion causes an extradural haematoma. Which vessel is usually torn?

  1. ABridging cerebral veins
  2. BSuperficial temporal artery
  3. CMiddle meningeal artery
  4. DMiddle cerebral artery
13.Human physiologyMedium

What does the QRS complex on an ECG represent?

  1. AAtrial depolarisation
  2. BVentricular repolarisation
  3. CVentricular depolarisation
  4. DAtrial repolarisation
14.Human physiologyHard

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

  1. ALow sodium, high potassium and high ACTH
  2. BLow sodium, low potassium and low ACTH
  3. CHigh sodium, low potassium and low ACTH
  4. DHigh sodium, high potassium and high ACTH
15.Biology for nursing entrance examsMedium

A deletion removes exactly three bases, forming one whole codon, from the middle of a gene. What is the most likely result?

  1. AThe protein becomes three times longer
  2. BEvery amino acid after the deletion is changed to a new one
  3. CNo protein can be made at all
  4. DThe protein lacks one amino acid but the rest is unchanged
16.Biology for nursing entrance examsHard

A breastfed baby receives antibodies from its mother's milk. Why does this protection last only a short time?

  1. AThe antibodies from breast milk attack the baby's own red blood cells
  2. BThe baby's stomach makes the antibodies more active
  3. CThe baby did not make these antibodies and forms no memory cells
  4. DThe antibodies turn into memory cells after a few weeks
17.Chemistry for nursing entrance examsMedium

What is the molar mass of sulfuric acid, H₂SO₄ (H = 1, S = 32, O = 16 g/mol)?

  1. A49 g/mol
  2. B50 g/mol
  3. C96 g/mol
  4. D98 g/mol
18.Chemistry for nursing entrance examsHard

Why does food cook faster in a pressure cooker?

  1. AThe higher pressure raises the boiling point, so the water is hotter
  2. BPressure itself breaks down the food, regardless of temperature
  3. CSteam is trapped, so the water boils at a lower temperature
  4. DThe higher pressure lowers the boiling point

3Solutions

1.Pre-nursing math (entrance exam)

Answer: Δ = −5

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°.

Read the points

2 h: 10, 4 h: 5

Change

Δ = 5 − 10 = −5

Answer

Δ = −5
2.Pre-nursing math (entrance exam)

Answer: p = 23 %

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.

Total 2025

50 + 80 + 90 = 220

Percent

p = 50/220 × 100 = 22.73 ≈ 23%

Answer

p = 23%
3.Nursing math & unit conversions

Answer: 3:10 PM

24-hour clock: from 1 PM onwards add 12 to the hour (3:45 PM = 15:45). Midnight to 12:59 AM is 00:00–00:59, and 12:00–12:59 PM stays 12:00–12:59. Going back, subtract 12 from hours 13–23 and add PM; hours 00 become 12 AM. Count time across midnight in two parts: up to 24:00 (00:00), then from 00:00 on.

Convert the hour

15 − 12 = 3 → PM

Answer

3:10 PM

Answer

3:10 PM
4.Nursing math & unit conversions

Answer: V = 280 mL

Dimensional analysis: write the given quantity, then multiply by conversion factors written as fractions (for example 60 min/1 h or 1 mg/1000 mcg) so that each unwanted unit appears once on top and once underneath and cancels. When only the wanted unit is left, calculate. Use the equivalents the question gives and round only the final answer.

Volume per dose

1 tsp = 1·5 = 5 mL

Whole course

V = 5 mL × 4/day × 14 = 280 mL

Answer

V = 280 mL
5.Reading comprehension (entrance exams)

Answer: C · They eat the sea urchins that feed on kelp.

Why this is the answer

Otters eat sea urchins, and urchins eat kelp, so otters protect the kelp by reducing the number of urchins.

Answer

C · They eat the sea urchins that feed on kelp.
6.Reading comprehension (entrance exams)

Answer: C · A challenge of determination

Why this is the answer

Here “will” means determination. The passage shows Ana pushing on through pain by thinking of her mother.

Answer

C · A challenge of determination
7.Healthcare vocabulary (entrance exams)

Answer: D · Easily affected by

Why this is the answer

Susceptible means likely to be harmed or influenced by something.

Answer

D · Easily affected by
8.Healthcare vocabulary (entrance exams)

Answer: D · Permanent widening of the airways

Why this is the answer

Bronchiectasis is permanent, abnormal widening of the bronchi, which causes mucus to build up.

Answer

D · Permanent widening of the airways
9.English grammar & language usage (entrance exams)

Answer: A · are

Why this is the answer

With “neither … nor” or “either … or”, the verb agrees with the nearer subject. “Nurses” is plural, so “are” is correct.

Answer

A · are
10.English grammar & language usage (entrance exams)

Answer: C · As a result

Why this is the answer

“As a result” shows cause and effect. “Nevertheless” and “in contrast” would signal an unexpected or opposite idea.

Answer

C · As a result
11.Human anatomy

Answer: C · At about the level of vertebrae L1–L2

Why this is the answer

In adults the cord ends at the conus medullaris near L1–L2. Below that lies the cauda equina, which is why lumbar punctures are done at L3–L4 or L4–L5.

Answer

C · At about the level of vertebrae L1–L2
12.Human anatomy

Answer: C · Middle meningeal artery

Why this is the answer

The middle meningeal artery lies under the pterion, where the skull is thin. Its rupture bleeds between bone and dura. Bridging veins cause subdural haematomas.

Answer

C · Middle meningeal artery
13.Human physiology

Answer: C · Ventricular depolarisation

Why this is the answer

The P wave is atrial depolarisation, the QRS complex ventricular depolarisation and the T wave ventricular repolarisation. Atrial repolarisation is hidden in the QRS.

Answer

C · Ventricular depolarisation
14.Human physiology

Answer: A · 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

A · Low sodium, high potassium and high ACTH
15.Biology for nursing entrance exams

Answer: D · The protein lacks one amino acid but the rest is unchanged

Why this is the answer

Because three bases are removed, the codons after the deletion are still read in the correct frame. The protein loses one amino acid, which may or may not affect its function.

Answer

D · The protein lacks one amino acid but the rest is unchanged
16.Biology for nursing entrance exams

Answer: C · The baby did not make these antibodies and forms no memory cells

Why this is the answer

In passive immunity, ready-made antibodies are received from another source. They are gradually broken down, and since the baby's own immune system did not respond, no memory cells form. Active immunity, from infection or vaccination, lasts longer.

Answer

C · The baby did not make these antibodies and forms no memory cells
17.Chemistry for nursing entrance exams

Answer: D · 98 g/mol

Why this is the answer

(2 × 1) + 32 + (4 × 16) = 2 + 32 + 64 = 98 g/mol.

Answer

D · 98 g/mol
18.Chemistry for nursing entrance exams

Answer: A · The higher pressure raises the boiling point, so the water is hotter

Why this is the answer

Sealing the pot raises the pressure, so water must reach a higher temperature (above 100 °C) before it boils. The hotter water cooks food faster. Autoclaves use the same idea to sterilise equipment.

Answer

A · The higher pressure raises the boiling point, so the water is hotter

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