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

“Sofia remembered the day she arrived in the city ten years earlier, holding one small suitcase and not speaking a word of the language. Now she stood at the front of a classroom, teaching that language to others.” Which technique does the author use?

  1. AA prediction about the future
  2. BA list of instructions
  3. CA flashback to an earlier time
  4. DA conversation between two people
2.Reading comprehension (entrance exams)Hard

The author writes: “A balanced breakfast improves concentration, and most of our pupils who skip breakfast struggle in morning lessons. The school should therefore offer a free breakfast club.” Which statement, if true, would most weaken this argument?

  1. AMorning lessons begin at nine o’clock.
  2. BBreakfast foods are already sold in many local shops.
  3. CPupils who skip breakfast would not attend a club.
  4. DSome teachers also skip breakfast at home.
3.Pre-nursing math (entrance exam)Medium

A runner recorded these distances in kilometres over 7 days: 30, 5, 31, 38, 7, 4, 32. What is the range R?

30, 5, 31, 38, 7, 4, 32
R =
4.Pre-nursing math (entrance exam)Hard

After a 25% pay rise, a nursing assistant earns $50 a week. What was the weekly pay x before the rise, in dollars?

$50+25%
x = $
5.Human anatomyMedium

The head of the femur articulates with which structure?

  1. AAcetabulum
  2. BObturator foramen
  3. CGreater trochanter
  4. DGlenoid cavity
6.Human anatomyHard

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

  1. AMiddle cerebral artery
  2. BSuperficial temporal artery
  3. CBridging cerebral veins
  4. DMiddle meningeal artery
7.Human physiologyMedium

What is the normal pH range of arterial blood?

  1. A7.35 to 7.45
  2. B7.50 to 7.65
  3. C7.00 to 7.20
  4. D6.80 to 7.00
8.Human physiologyHard

Which mechanism mainly creates the concentration gradient in the medulla of the kidney?

  1. AADH acting on the descending limb
  2. BThe countercurrent multiplier of the loop of Henle
  3. CGlomerular filtration
  4. DSecretion of urea into the proximal tubule
9.Biology for nursing entrance examsMedium

How do bacteria usually reproduce?

  1. ABy binary fission
  2. BBy budding off viruses
  3. CBy forming seeds
  4. DBy meiosis
10.Biology for nursing entrance examsHard

In an onion root tip, 90 of 100 cells are in interphase and 10 are in mitosis. If the whole cell cycle takes 20 hours, about how long does mitosis last?

  1. A18 hours
  2. B2 hours
  3. C10 hours
  4. D0.5 hours
11.Chemistry for nursing entrance examsMedium

A solution has a pH of 10. What is its pOH at 25 °C?

  1. A10
  2. B14
  3. C4
  4. D24
12.Chemistry for nursing entrance examsHard

The reaction 2SO₂ + O₂ ⇌ 2SO₃ reaches equilibrium. What is true at equilibrium?

  1. AThe forward and reverse reactions continue at equal rates
  2. BOnly products are present in the container
  3. CBoth reactions have stopped completely
  4. DThe concentrations of reactants and products must be equal
13.English grammar & language usage (entrance exams)Medium

Choose the correct word: “Neither Tom ___ Lisa was late.”

  1. Abut
  2. Band
  3. Cor
  4. Dnor
14.English grammar & language usage (entrance exams)Hard

Choose the correct verb: “Either the manager or the employees ___ responsible for locking up.”

  1. Aare
  2. Bwas
  3. Chas been
  4. Dis
15.Healthcare vocabulary (entrance exams)Medium

Choose the meaning of the word in bold: “The nurse noted pallor of the patient’s face and lips.”

  1. APatchy redness
  2. BA bluish colour
  3. CUnusual paleness
  4. DYellow discolouration
16.Healthcare vocabulary (entrance exams)Hard

What does the term pericarditis mean?

  1. AInflammation of the muscle tissue of the heart wall
  2. BEnlargement of the heart
  3. CSlow heart rate
  4. DInflammation of the sac around the heart

3Solutions

1.Reading comprehension (entrance exams)

Answer: C · A flashback to an earlier time

Why this is the answer

The author takes the reader back ten years before returning to the present, which is a flashback.

Answer

C · A flashback to an earlier time
2.Reading comprehension (entrance exams)

Answer: C · Pupils who skip breakfast would not attend a club.

Why this is the answer

If the pupils who skip breakfast would not go to the club, it would not fix their concentration problems, which weakens the argument.

Answer

C · Pupils who skip breakfast would not attend a club.
3.Pre-nursing math (entrance exam)

Answer: R = 34

Mean, median, mode and range: the mean (average) is the sum divided by the number of values. The median is the middle value once the values are in order; with an even number of values it is the mean of the two middle ones. The mode is the value that occurs most often. The range is the largest value minus the smallest.

Largest minus smallest

R = 38 − 4 = 34

Answer

R = 34
4.Pre-nursing math (entrance exam)

Answer: x = 40 $

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 = 50

Solve

x = 50/1.25 = $40.00

Answer

x = $40.00
5.Human anatomy

Answer: A · Acetabulum

Why this is the answer

The acetabulum is the cup-shaped socket of the hip bone, formed by the ilium, ischium and pubis. The glenoid cavity is the shoulder's socket.

Answer

A · Acetabulum
6.Human anatomy

Answer: D · 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

D · Middle meningeal artery
7.Human physiology

Answer: A · 7.35 to 7.45

Why this is the answer

Arterial pH is normally 7.35–7.45. Below 7.35 is acidaemia and above 7.45 alkalaemia.

Answer

A · 7.35 to 7.45
8.Human physiology

Answer: B · The countercurrent multiplier of the loop of Henle

Why this is the answer

The ascending limb actively transports NaCl into the interstitium without letting water follow, and the countercurrent flow multiplies this into a steep gradient that ADH then uses to concentrate urine.

Answer

B · The countercurrent multiplier of the loop of Henle
9.Biology for nursing entrance exams

Answer: A · By binary fission

Why this is the answer

A bacterium copies its circular chromosome and splits into two identical cells. This can happen every 20–30 minutes in good conditions.

Answer

A · By binary fission
10.Biology for nursing entrance exams

Answer: B · 2 hours

Why this is the answer

10% of the cells are in mitosis, so mitosis takes about 10% of the cycle: 0.10 × 20 h = 2 hours. Interphase takes about 18 hours.

Answer

B · 2 hours
11.Chemistry for nursing entrance exams

Answer: C · 4

Why this is the answer

At 25 °C, pH + pOH = 14, so pOH = 14 − 10 = 4. A low pOH means a high OH⁻ concentration, so the solution is basic.

Answer

C · 4
12.Chemistry for nursing entrance exams

Answer: A · The forward and reverse reactions continue at equal rates

Why this is the answer

At equilibrium both reactions still happen at the same rate, so the concentrations stay constant, but they are not necessarily equal.

Answer

A · The forward and reverse reactions continue at equal rates
13.English grammar & language usage (entrance exams)

Answer: D · nor

Why this is the answer

“Neither” pairs with “nor”, just as “either” pairs with “or” and “both” pairs with “and”.

Answer

D · nor
14.English grammar & language usage (entrance exams)

Answer: A · are

Why this is the answer

With “either … or”, the verb agrees with the closer subject, “employees”, which is plural.

Answer

A · are
15.Healthcare vocabulary (entrance exams)

Answer: C · Unusual paleness

Why this is the answer

Pallor is an unusual paleness of the skin, often seen with anaemia or shock.

Answer

C · Unusual paleness
16.Healthcare vocabulary (entrance exams)

Answer: D · Inflammation of the sac around the heart

Why this is the answer

Peri- (around) + cardi/o (heart) + -itis (inflammation): inflammation of the pericardium. Heart muscle inflammation is myocarditis.

Answer

D · Inflammation of the sac around the heart

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