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Laboratory Mathematics: Practice Questions

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About these practice questions

Need Laboratory Mathematics practice? You've come to the right place!

This page contains 300 practice questions divided into the eleven sections: 1. Clinical chemistry, 2. Exponents and logarithms, 3. General chemistry, 4. Hematology, 5. Moles, 6. pH, 7. Significant digits and rounding, 8. Solution preparation and dilutions, 9. Statistics, 10. Temperature, and 11. Units of measurement.

Sections

  1. Clinical chemistry
  2. Exponents and logarithms
  3. General chemistry
  4. Hematology
  5. Moles
  6. pH
  7. Significant digits and rounding
  8. Solution preparation and dilutions
  9. Statistics
  10. Temperature
  11. Units of measurement

Section 1: Clinical chemistry

1.1) To one decimal place, what is a glucose value of 91 mg/dL in mmol/L?
  1. 5.1
  2. 6.2
  3. 7.3
  4. 8.4
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1.2) A 24-hour urine specimen has a volume of 1,500 mL and a total protein of 25 mg/dL. Calculate the urinary protein excretion in mg per 24 hours.
  1. 60
  2. 167
  3. 375
  4. 600
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1.3) A patient has the following creatinine results:
Test Result
Urine creatinine concentration 220 mg/dL
Serum creatinine concentration 2.2 mg/dL
24-hour urine volume 1800 mL
Calculate the creatinine clearance.
  1. 125 mL/min
  2. 275 mL/min
  3. 350 mL/min
  4. 715 mL/min
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1.4) A patient's serum protein results are as follows:
Test Result
Albumin 4.2 g/dL
Alpha₁ 0.4 g/dL
Alpha₂ 0.6 g/dL
Beta 1.3 g/dL
Gamma 0.5 g/dL
Calculate the patient's A/G ratio.
  1. 1.2
  2. 1.5
  3. 2.2
  4. 2.5
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1.5) What is the formula for calculating the percent transmittance of a solution from its absorbance?
  1. antilog (1 – absorbance)
  2. antilog (2 – absorbance)
  3. log (1 + absorbance)
  4. log (2 + absorbance)
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1.6) How does the Friedewald formula calculate LDL cholesterol?
  1. Total cholesterol – HDL cholesterol – triglycerides
  2. Total cholesterol – HDL cholesterol – triglycerides/5
  3. Total cholesterol – HDL cholesterol/2.2 – triglycerides/10
  4. Total cholesterol – HDL cholesterol/8.8 – triglycerides
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1.7) A patient's serum protein results are as follows:
Test Result
Total protein 6.6.g/dL
Albumin 3.3 g/dL
Alpha₁ 0.2 g/dL
Alpha₂ 0.7 g/dL
Beta 1.1 g/dL
Gamma 1.3 g/dL
Calculate the patient's A/G ratio.
  1. 0.9
  2. 1.0
  3. 1.1
  4. 1.2
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1.8) A patient's cholesterol test results are as follows:
Test Result
Triglycerides 220 mg/dL
Cholesterol 230 mg/dL
HDL 60 mg/dL
Calculate the patient's LDL.
  1. 102 mg/dL
  2. 112 mg/dL
  3. 126 mg/dL
  4. 138 mg/dL
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1.9) Beer's Law states that absorbance =
  1. concentration × (molar attenuation coefficient / path length)
  2. concentration × (path length / molar attenuation coefficient)
  3. molar attenuation coefficient × (concentration / path length)
  4. molar attenuation coefficient × concentration × path length
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1.10) A 40-year-old man weighing 80 kg has a plasma creatinine level of 1.2 mg/dL. Using the Cockcroft-Gault formula, calculate the creatinine clearance in mL/min.
  1. 32.8
  2. 68.4
  3. 92.6
  4. 126.2
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1.11) A patient's cholesterol test results are as follows:
Test Result
Triglycerides 200 mg/dL
Cholesterol 300 mg/dL
HDL 70 mg/dL
From these results, calculate the patient's LDL.
  1. 190 mg/L
  2. 200 mg/L
  3. 210 mg/L
  4. 220 mg/L
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1.12) A patient has the following lipid panel results:
Test Result
Total cholesterol 160 mg/dL
LDL 100 mg/dL
VLDL 20 mg/dL
HDL 40 mg/dL
Triglycerides 150 mg/dL
Calculate the cholesterol ratio.
  1. 0.25
  2. 4
  3. 50
  4. 150
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1.13) Use the results below to calculate the osmolal gap.
Test Result
Sodium 140 mEq/L
Glucose 90 mg/dL
BUN 28 mg/dL
Measured osmolality 301 mOsm/kg
  1. 1 mOsm/kg
  2. 3 mOsm/kg
  3. 6 mOsm/kg
  4. 9 mOsm/kg
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1.14) A patient's cholesterol test results are as follows:
Test Result
Triglycerides 230 mg/dL
Cholesterol 280 mg/dL
HDL 55 mg/dL
Calculate the patient's LDL.
  1. 119 mg/dL
  2. 149 mg/dL
  3. 159 mg/dL
  4. 179 mg/dL
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1.15) A patient has a measured osmolality of 283 mOsm/kg and a calculated osmolality of 275 mOsm/kg. Calculate the osmolal gap.
  1. 0.97 mOsm/kg
  2. 1.03 mOsm/kg
  3. 8 mOsm/kg
  4. 556 mOsm/kg
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1.16) Calculate the anion gap from these results:
Test Result
Sodium 130 mEq/L
Potassium 5 mEq/L
Chloride 100 mEq/L
Bicarbonate 25 mEq/L
  1. 5 mEq/L
  2. 10 mEq/L
  3. 15 mEq/L
  4. 20 mEq/L
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1.17) What is the solubility equilibrium formula?
  1. Kₛₚ = [A⁺]ᵃ × [B⁻]ᵇ
  2. Kₛₚ = [A⁺]ᵇ × [B⁻]ᵃ
  3. Kₛₚ = [A⁻]ᵃ × [B⁺]ᵇ
  4. Kₛₚ = [A⁻]ᵇ × [B⁺]ᵃ
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Section 2: Exponents and logarithms

2.1) 10³ equals:
  1. 30
  2. 100
  3. 300
  4. 1,000
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2.2) In the equation 3² = 9, the number 2 is called the:
  1. base
  2. exponent
  3. logarithm
  4. reciprocal
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2.3) An automated cell counter gives a result of 6,500 cells/mm³. However, the doctor's clinic requires the result in cells/L. What result should you report to the doctor?
  1. 6.5 x 10⁶ cells/L
  2. 6.5 x 10⁷ cells/L
  3. 6.5 x 10⁸ cells/L
  4. 6.5 x 10⁹ cells/L
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2.4) Which of these numbers is twice as large as 2⁴?
  1. 2⁵
  2. 2⁶
  3. 2⁷
  4. 2⁸
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2.5) If log₂x = 4, what is the value of x?
  1. 2
  2. 3
  3. 8
  4. 16
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2.6) What does log₄64 equal?
  1. 1
  2. 2
  3. 3
  4. 4
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2.7) What is the value of x in 2ˣ = 16?
  1. 2
  2. 3
  3. 4
  4. 6
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2.8) If log₃x = 3, what is the value of x?
  1. 6
  2. 9
  3. 18
  4. 27
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2.9) What does log₂4 equal?
  1. 6
  2. 2
  3. 3
  4. 4
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2.10) What is 0.2 to the power of 3?
  1. 8
  2. 0.008
  3. 0.6
  4. 0.04
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2.11) What is 5⁻²?
  1. -25
  2. -0.2
  3. 0.04
  4. 0.2
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Section 3: General chemistry

3.1) if the predicted yield is 20 g but the actual yield is only 15 g, what is the percentage yield?
  1. 1.33%
  2. 0.75%
  3. 5%
  4. 75%
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3.2) What mass of iron is produced when 8 g of Fe₂O₃ reacts with carbon? (Assume iron has an atomic weight of 56, oxygen has an atomic weight of 16, and carbon has an atomic weight of 12.)
  1. 5.6 g
  2. 6.2 g
  3. 7.8 g
  4. 7.0 g
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3.3) What is the empirical formula of C₈H₁₆O₄?
  1. CHO
  2. C₂H₄O
  3. C₄H₈O₂
  4. C₈H₁₆O₄
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3.4) 8.0 g of magnesium oxide contains 4.8 g of magnesium and 3.2 g of oxygen. If the atomic mass of magnesium is 24 and the atomic mass of oxygen is 16, what is the empirical formula of magnesium oxide?
  1. MgO
  2. MgO₂
  3. MgO₃
  4. Mg₃O
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3.5) If calcium has an atomic mass of 40, carbon has an atomic mass of 12, and oxygen has an atomic mass of 16, what is the relative formula mass of CaCO₃?
  1. 68
  2. 84
  3. 116
  4. 100
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3.6) When heated, calcium carbonate (CaCO₃) decomposes to form calcium oxide (CaO) and carbon dioxide (CO₂). How much CO₂ would be produced when 100 g of CaCO₃ is heated? (Assume calcium has an atomic mass of 40, carbon has an atomic mass of 12, and oxygen has an atomic mass of 16.)
  1. 22 g
  2. 11 g
  3. 33 g
  4. 44 g
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3.7) The predicted yield of a reaction was 100 g but the actual yield was 20 g. What was the percentage yield for the reaction?
  1. 20%
  2. 40%
  3. 60%
  4. 80%
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3.8) When 24 g of carbon is burned in the air, 88 g of carbon dioxide is produced. What mass of carbon is needed to produce 22 g of carbon dioxide?
  1. 3 g
  2. 6 g
  3. 9 g
  4. 12 g
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3.9) When 10.0 g of calcium carbonate is decomposed by heating, 4.4 g of carbon dioxide is produced. What mass of calcium carbonate is needed to produce 8.8 g of carbon dioxide?
  1. 5 g
  2. 10 g
  3. 15 g
  4. 20 g
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3.10) When 12 g of substance A is burned, 20 g of substance B is produced. How much of substance B will be produced if 24 g of substance A is burned?
  1. 30 g
  2. 25 g
  3. 40 g
  4. 45 g
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3.11) If 0.4 g of potassium reacts with the air to form 1.0 g of potassium oxide, how much potassium oxide will be produced if 160 g of potassium reacts with the air?
  1. 100 g
  2. 200 g
  3. 300 g
  4. 400 g
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3.12) Balance the equation Xe + F₂ → XeF₆.
  1. Xe + 3F₂ → XeF₆
  2. Xe + 6F₂ → XeF₆
  3. 2Xe + 3F₂ → 2XeF₆
  4. 3Xe + 6F₂ → XeF₆
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3.13) Balance the equation Ag + H₂S → Ag₂S + H₂.
  1. 2Ag + H₂S → Ag₂S + H₂
  2. 4Ag + 2H₂S → 2Ag₂S + H₂
  3. 2Ag + 2H₂S → Ag₂S + 4H₂
  4. 4Ag + H₂S → 2Ag₂S + H₂
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3.14) In the equation KOH + CO₂ → K₂CO₃ + H₂O, which molecule needs a coefficient for the equation to be balanced?
  1. KOH
  2. CO₂
  3. K₂CO₃
  4. H₂O
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3.15) Balance the equation CO₂ + H₂O → C₆H₁₂O₆ + O₂.
  1. 12CO₂ + 2H₂O → 2C₆H₁₂O₆ + 3O₂
  2. 12CO₂ + 4H₂O → 2C₆H₁₂O₆ + 2O₂
  3. 6CO₂ + 2H₂O → C₆H₁₂O₆ + 3O₂
  4. 6CO₂ + 6H₂O → C₆H₁₂O₆ + 6O₂
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3.16) Balance the equation SiO₂ + C → SiC + CO.
  1. 2SiO₂ + C → 2SiC + CO
  2. 2SiO₂ + C → SiC + 2CO
  3. SiO₂ + 3C → 2SiC + CO
  4. SiO₂ + 3C → SiC + 2CO
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3.17) Balance the equation Na + Cl₂ + NaCl.
  1. 2Na + Cl₂ + 2NaCl
  2. 4Na + 2Cl₂ + 2NaCl
  3. Na + 2Cl₂ + 2NaCl
  4. Na + Cl₂ + 2NaCl
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3.18) Balance the equation Al + HCl → AlCl₃ + H₂.
  1. 2Al + 4HCl → 6AlCl₃ + H₂
  2. 2Al + 6HCl → 2AlCl₃ + 3H₂
  3. 4Al + 2HCl → 4AlCl₃ + 2H₂
  4. 4Al + 4HCl → 4AlCl₃ + 2H₂
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Section 4: Hematology

4.1) Which of these patients has anemia?
HCT RBC (x10¹²/L) Hemoglobin (g/dL)
Patient 1 50% 4.6 14.1
Patient 2 41% 6.2 16.8
Patient 3 38% 4.8 10.6
Patient 4 42% 7.2 13.5
  1. Patient 1
  2. Patient 2
  3. Patient 3
  4. Patient 4
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4.2) Normal infant blood volume is approximately 100 mL/kg. What would be the approximate blood volume of a baby who weighs 6 lb?
  1. 270 mL
  2. 330 mL
  3. 520 mL
  4. 600 mL
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4.3) What is 2,000 cc of blood in liters?
  1. 2
  2. 4
  3. 6
  4. 8
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4.4) A patient's serum iron test results are as follows:
Test Result
Serum iron concentration 110 mcg/dL
Total iron-binding capacity 440 mcg/dL
Calculate the percentage transferrin saturation.
  1. 4%
  2. 5%
  3. 10%
  4. 25%
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4.5) A patient has the following test results:
Test Result
Total protein level 8.3 g/dL
Albumin level 3.4 g/dL
What is the patient's calculated globulin?
  1. 0.4 g/dL
  2. 2.4 g/dL
  3. 4.9 g/dL
  4. 11.7 g/dL
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4.6) A patient has an A1c of 10.0%. To the nearest mg/dL, calculate an estimate of the patient's average blood glucose levels over the past 2-3 months.
  1. 220 mg/dL
  2. 240 mg/dL
  3. 260 mg/dL
  4. 280 mg/dL
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4.7) What is the Smithline-Gardner formula?
  1. (sodium×1.78) + (glucose/16) + (BUN/2.8)
  2. (sodium×1.8) + (glucose/16) + (BUN/3.2)
  3. (sodium×1.82) + (glucose/18) + (BUN/3.2)
  4. (sodium×2) + (glucose/18) + (BUN/2.8)
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4.8) A patient has a CK-MB of 25.0 ng/mL and a total CK of 500 U/L. Calculate the relative index.
  1. 2
  2. 3
  3. 4
  4. 5
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4.9) A patient has the following test results:
Test Result
Sodium 140 mEq/L
Glucose 360 mg/dL
BUN 5.6 mg/dL
Using the Dorwart and Chalmers formula, calculate the patient's serum osmolality.
  1. 107.4 mOsm/kg
  2. 193.9 mOsm/kg
  3. 282.4 mOsm/kg
  4. 382.9 mOsm/kg
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4.10) Calculate the corrected reticulocyte percentage from the following results.
Test Result
RBC (cells/L) 4.7×10¹²
WBC (cells/L) 4.5×10⁹
PLT (cells/L) 310×10⁹
Hct 30% (normal Hct = 45%)
Reticulocyte count 1.5%
  1. 0.5%
  2. 1%
  3. 1.5%
  4. 2%
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4.11) A lab technician dilutes a blood sample with tryptan blue by a ratio of 1:1. The technician then counts 100 cells in 5 of the large squares using a hemocytometer. What is the cell concentration?
  1. 2×10⁴ cells/mL
  2. 3×10⁴ cells/mL
  3. 4×10⁵ cells/mL
  4. 5×10⁵ cells/mL
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4.12) An anemic patient has the following blood test results:
Test Result
RBC 3.6×10⁶ cells/mcL
WBC 6.7×10⁹ cells/L
Hct 15%
Hgb 11.2 g/dL
Reticulocyte percentage 9%
Given a maturation correction of 2.5 and assuming a normal hematocrit of 45%, calculate the reticulocyte production index.
  1. 1.2%
  2. 1.5%
  3. 1.8%
  4. 2.1%
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4.13) A 1/5 dilution is made for a manual white blood cell count. The technician counts 100 WBCs in ten squares of the hemocytometer. What is the white blood cell concentration?
  1. 4×10⁵ cells/uL
  2. 5×10⁵ cells/uL
  3. 6×10⁵ cells/uL
  4. 8×10⁵ cells/uL
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4.14) Calculate the corrected WBC count from the following results.
Test Result
Uncorrected WBC count 30,000/uL
Nucleated RBC/100 WBC 100
  1. 500/uL
  2. 10,000/uL
  3. 15,000/uL
  4. 18,000/uL
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4.15) Leukocyte alkaline phosphatase (LAP) staining was performed on a blood specimen. The specimen was scored as follows:
Score Neutrophils
0 40
+1 40
+2 15
+3 5
+4 0
Calculate the LAP score.
  1. 25
  2. 45
  3. 65
  4. 85
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4.16) A woman has the following blood test results:
Test Result
Red cell count 7.8 × 10¹²/L
White cell count 7.5 × 10⁹/L
Platelets 242 × 10⁹/L
What term applies to these results?
  1. Hypererythrocytosis
  2. Leukocytosis
  3. Leukopenia
  4. Polycythemia
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4.17) What is the term for a red cell count of 3.6 × 10¹²/L in men?
  1. Anemia
  2. Leukocytosis
  3. Leukopenia
  4. Polycythemia
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4.18) Along with the patient's prothrombin time and the average prothrombin time of the reference range population, what other information is needed to calculate a patient's international normalized ratio?
  1. The half-life of the patient's anticoagulant medication
  2. The international sensitivity index of the thromboplastin reagent
  3. The patient's age
  4. The total thrombus volume from the thromboelastograph waveform
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4.19) Calculate the international normalised ratio (INR) from the following information.
Control PT 11.0 seconds
Patient's PT 16.5 seconds
International Sensitivity Index 1
  1. 0.5
  2. 1.5
  3. 2.5
  4. 3.5
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4.20) Which of the following patients has microcytic red blood cells?
HCT RBC (x10¹²/L)
Patient 1 42% 3.9
Patient 2 43% 5.5
Patient 3 50% 4.5
Patient 4 40% 3.1
  1. Patient 1
  2. Patient 2
  3. Patient 3
  4. Patient 4
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4.21) A patient's blood test results are as follows:
Test Result
RBC 4x10⁶/µL
Hct 40%
Hgb 14 g/dL
What is the morphology of red blood cells?
  1. Macrocytic hypochromic
  2. Macrocytic normochromic
  3. Microcytic hyperchromic
  4. Microcytic hypochromic
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4.22) A woman has the following blood test results:
Test Result
HCT 48%
RBC 3.8 × 10¹²/L
WBC 5.5 × 10⁹/L
PLT 320 × 10⁹/L
Which term describes the red blood cells?
  1. Hypochromic
  2. Macrocytic
  3. Microcytic
  4. Normocytic
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4.23) Given the following results, which red blood cell morphology does the patient have?
Test Result
MCV 90 fL
MCHC 35.1 g/dL
  1. Macrocytic normochromic
  2. Microcytic hypochromic
  3. Normocytic hypochromic
  4. Normocytic normochromic
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4.24) Given the following results, which red blood cell morphology does the patient most likely have?
Test Result
MCV 132 fL
MCH 13.3 pg
MCHC 27.9 g/dL
  1. Macrocytic hypochromic
  2. Macrocytic normochromic
  3. Microcytic hypochromic
  4. Microcytic normochromic
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4.25) What formula calculates red blood cell distribution width?
  1. 1 SD of the MCV / MCV
  2. HCT / RBC
  3. HGB / RBC
  4. RBC × MCV
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4.26) A patient has the following hematology results:
Test Result
RBC 4.21×10¹²/L
Hemoglobin 133 g/L
Hematocrit 0.397
Use the results to calculate the mean corpuscular hemoglobin concentration (MCHC).
  1. 10.9 g/dL
  2. 25.1 g/dL
  3. 31.6 g/dL
  4. 33.5 g/dL
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4.27) A patient has the following hematology results:
Test Result
RBC 4.68×10¹²/L
Hemoglobin 133 g/L
Hematocrit 0.451
Calculate the patient's mean corpuscular hemoglobin (MCH).
  1. 0.035 pg
  2. 10.4 pg
  3. 28.4 pg
  4. 59.85 pg
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4.28) In healthy individuals, the hematocrit is roughly equal to three times the:
  1. hemoglobin
  2. mean corpuscular volume
  3. red blood cell count
  4. white blood cell count
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4.29) A falsely high hematocrit would cause which red blood index to be falsely low?
  1. RDW
  2. MCHC
  3. MCV
  4. MCH
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4.30) Calculate the mean corpuscular volume (MCV) from these results.
Test Result
RBC 5.0 × 10¹²/L
WBC 8.5 × 10⁹/L
PLT 320 × 10⁹/L
Hct 40%
Hgb 14.5 g/dL
  1. 20 fL
  2. 30 fL
  3. 50 fL
  4. 80 fL
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Section 5: Moles

5.1) If the atomic mass of hydrogen is 1 and the atomic mass of oxygen is 16, how many moles are in a liter of water?
  1. 18.9
  2. 31.4
  3. 44.4
  4. 55.5
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5.2) Which of these is a unit of molarity?
  1. L/mol
  2. g/mol
  3. mol/L
  4. mol/g
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5.3) How many moles are in 25g of a 100 g/mol solution?
  1. 0.25
  2. 4
  3. 75
  4. 125
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5.4) 5 moles of CaCl₂ are dissolved in 1 liter of water. What is the molarity of this solution?
  1. 0.2
  2. 1
  3. 4.8
  4. 5
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5.5) What is the molarity of a 3 L solution that contains 1.2 moles?
  1. 0.4
  2. 1.8
  3. 2.5
  4. 3.6
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5.6) If 20 moles of A are dissolved in 80 moles of B, what is the mole fraction of A in the final solution?
  1. 0.2
  2. 4
  3. 15
  4. 60
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5.7) What is the formula for calculating the gram equivalent weight of a chemical?
  1. Gram equivalent weight = molecular weight / number of moles
  2. Gram equivalent weight = molecular weight / valency
  3. Gram equivalent weight = oxidation number / molecular weight
  4. Gram equivalent weight = valency factor / oxidation number
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5.8) What does the unit mol/kg represent?
  1. Milli-molarity
  2. Molality
  3. Molar mass
  4. Molarity
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5.9) What is the symbol for molality?
  1. M
  2. m
  3. mM
  4. n
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5.10) 570 mL of water is added to a 30 mL, 2 M aqueous solution. What is the molarity of the final solution?
  1. 0.1 M
  2. 0.2 M
  3. 0.3 M
  4. 0.4 M
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5.11) Given that the molar mass of silicon is 28.086, how many moles are in 200 g of silicon?
  1. 0.14
  2. 28.8
  3. 5617.2
  4. 7.12
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5.12) A one molal solution contains one mole of solute per ________ of solvent.
  1. 1 g
  2. 1 kg
  3. 1 liter
  4. 1 mole
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Section 6: pH

6.1) A pH of 2 is how many times more acidic than a pH of 5?
  1. 3
  2. 6
  3. 256
  4. 1,000
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6.2) What volume of 0.4 M NaOH is needed to titrate 100 mL of 0.25 M HCl?
  1. 25.5 mL
  2. 27.5 mL
  3. 45.5 mL
  4. 62.5 mL
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6.3) If 25 mL of LiOH is needed to neutralize 20 mL of 0.500 M HBr, what is the concentration of the LiOH?
  1. 0.4 M
  2. 0.5 M
  3. 0.6 M
  4. 0.75 M
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6.4) During a titration, 32.20 mL of 0.250 M NaOH neutralizes 26.60 mL of H₂SO₄. What is the molarity of the H₂SO₄ solution?
  1. 0.071 M
  2. 0.083 M
  3. 0.106 M
  4. 0.151 M
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6.5) 1 L of a 0.1 M potassium hydroxide solution neutralizes 50 mL of a sulfuric acid solution. What is the molarity of the sulfuric acid solution?
  1. 0.005 M
  2. 0.045 M
  3. 0.5 M
  4. 1 M
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6.6) How many mL of a 0.2 M KOH solution will neutralize 15 mL of 0.4 M HCl?
  1. 10 mL
  2. 20 mL
  3. 30 mL
  4. 40 mL
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6.7) What is the hydrogen ion concentration in a solution with a pH of 7?
  1. 0 M
  2. 1×10⁻⁷ M
  3. 2.34×10⁶ M
  4. 7 M
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6.8) A pH of 9 is how many times more alkaline than a pH of 7?
  1. 2
  2. 3
  3. 10
  4. 100
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6.9) What is the hydroxide ion concentration of a solution with a pOH of 2?
  1. 0.01 M
  2. 0.02 M
  3. 0.1 M
  4. 0.2 M
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6.10) A solution has a hydroxide ion concentration of 4.82 x 10⁻⁵ M. What is the pOH of this solution?
  1. 1.83
  2. 2.98
  3. 3.19
  4. 4.32
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Section 7: Significant digits and rounding

7.1) 2.99 is between:
  1. 2.91 and 2.92
  2. 2.919 and 2.929
  3. 2.98 and 3.00
  4. 2.980 and 2.989
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7.2) Round 2.08691 to three decimal places.
  1. 2.08
  2. 2.087
  3. 2.089
  4. 2.09
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7.3) What is 2.08691 rounded to three significant figures?
  1. 2.08
  2. 2.086
  3. 2.087
  4. 2.09
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7.4) What is 13.55 millimeters rounded to the nearest millimeter?
  1. 13 mm
  2. 13.5 mm
  3. 13.6 mm
  4. 14 mm
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7.5) What is 3.8371 to two significant digits?
  1. 3.8
  2. 3.837
  3. 3.84
  4. 3.9
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7.6) What is 47.839 rounded to one significant figure?
  1. 47
  2. 47.8
  3. 48
  4. 50
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7.7) A lab machine gives a result of 0.8731. What is this rounded to one significant figure?
  1. 0.1
  2. 0.87
  3. 0.9
  4. 1
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7.8) What is 89.9583 rounded to three significant figures?
  1. 89.8
  2. 89.958
  3. 90.0
  4. 91.0
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7.9) What is 3.5 × 10⁹ rounded to one significant figure?
  1. 3 × 10⁹
  2. 3.6 × 10⁹
  3. 4
  4. 4 × 10⁹
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7.10) What is 8,389,910 rounded to the nearest thousand?
  1. 8,340,000
  2. 8,389,000
  3. 8,390,000
  4. 8,391,000
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7.11) What is 23.81 rounded to the nearest whole number?
  1. 20
  2. 23.8
  3. 24
  4. 30
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7.12) What is 0.7817 rounded to the nearest whole number?
  1. 0.5
  2. 0.8
  3. 1
  4. 1.5
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7.13) How many significant figures are in 38.800?
  1. 2
  2. 3
  3. 4
  4. 5
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7.14) What is 1.3656 to three significant figures?
  1. 1.30
  2. 1.36
  3. 1.37
  4. 1.40
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Section 8: Solution preparation and dilutions

8.1) A lab assistant makes a 1/6 dilution of serum in water. The assistant then performs a glucose test on the diluted serum. The result is 72 mg/dL. What result should the lab assistant report to the doctor?
  1. 12 mg/dL
  2. 72 mg/dL
  3. 432 mg/dL
  4. 720 mg/dL
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8.2) Which of these is a 1/8 dilution of urine?
  1. 1 part urine and 7 parts water
  2. 1 part urine and 8 parts water
  3. 1 part water and 7 parts urine
  4. 1 part water and 8 parts urine
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8.3) If 0.2 mL of a sample is added to 5 mL of diluent, what is the dilution factor?
  1. 4.8
  2. 5.2
  3. 25
  4. 26
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8.4) A molar solution is:
  1. 1 mL of solute in one mole of solution
  2. one gram of solute in 1 mL of solution
  3. one gram of solute in one mole of solution
  4. one mole of solute in 1 liter of solution
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8.5) A dilution ratio of 1:15 means what part specimen and what part diluent?
  1. 1 part specimen, 15 parts diluent
  2. 1 part specimen, 16 parts diluent
  3. 15 parts specimen, 1 part diluent
  4. 16 parts specimen, 1 part diluent
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8.6) What is the dilution factor 1/5 expressed as a dilution ratio?
  1. 1:4
  2. 1:5
  3. 1:6
  4. 5:1
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8.7) A lab technician is making a solution by combining 3 parts of a solute with 7 parts of water. How many milliliters of the solute and water are needed to make 100 mL of the solution?
  1. 7 mL of solute and 3 mL of water
  2. 10 mL of solute and 70 mL of water
  3. 30 mL of solute and 70 mL of water
  4. 70 mL of solute and 30 mL of water
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8.8) A procedure requires mixing red cells and water in a ratio of 4 to 5, with a total volume of 450 mL. How much water is needed?
  1. 250 mL
  2. 300 mL
  3. 350 mL
  4. 400 mL
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8.9) If a dilution ratio of 7:10 is used to make an acetic acid solution and the final volume of the solution is 950 mL, what is the volume of the solute?
  1. 58 mL
  2. 101 mL
  3. 391 mL
  4. 559 mL
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8.10) To prepare 500 mL of buffer, the lab manual says to mix 2 parts of the concentrated buffer with 6 parts of distilled water. What quantities of buffer and water would be used?
  1. 125 mL of buffer and 375 mL of water
  2. 150 mL of buffer and 350 mL of water
  3. 175 mL of buffer and 325 mL of water
  4. 200 mL of buffer and 300 mL of water
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8.11) A lab technician is preparing a serial dilution with eight tubes. The first tube contains a 1/2 dilution. If the dilution factor doubles with each transfer, what would be the dilution in the eighth tube?
  1. 1/128
  2. 1/256
  3. 1/512
  4. 1/1024
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8.12) A lab technician makes a solution by mixing 500 mL of water with 4.5 g of salt. What is the salt concentration of the solution?
  1. 0.9 g/L
  2. 8 g/L
  3. 8.9 g/L
  4. 9 g/L
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8.13) Given a solute volume of 20 mL and a dilution factor of 3, calculate the volume of solvent needed.
  1. 40 mL
  2. 60 mL
  3. 120 mL
  4. 160 mL
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8.14) If 100% bleach is diluted 1/5 and then diluted again 1/20, what is the concentration of bleach in the final solution?
  1. 1%
  2. 1.5%
  3. 2%
  4. 2.5%
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8.15) How would you prepare a 50 mL 1/10 dilution of bleach?
  1. 3 mL of bleach to 47 mL of water
  2. 4 mL of bleach to 46 mL of water
  3. 5 mL of bleach to 45 mL of water
  4. 6 mL of bleach to 44 mL of water
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8.16) What is one part chemical to five parts water expressed as a dilution factor?
  1. 3
  2. 4
  3. 5
  4. 6
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8.17) 0.5 mol of solute is dissolved in 1 liter of solution. What is the concentration of the solution in mol/cm³?
  1. 0.0005
  2. 0.02
  3. 2
  4. 200
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8.18) A lab technician adds 0.2 mL of a stock solution to 3.8 mL of diluent. What is the dilution factor?
  1. 4
  2. 5
  3. 19
  4. 20
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8.19) You dilute a sample four times using a dilution factor of 20 each time. What is the final dilution?
  1. 1/20
  2. 1/80
  3. 1/8,000
  4. 1/160,000
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8.20) A solution is made by mixing 100 mL of hydrochloric acid with 100 mL of water. What is the %v/v concentration of hydrochloric acid in this solution?
  1. 1%
  2. 10%
  3. 25%
  4. 50%
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8.21) 0.5 mol of solute is dissolved in 250 cm³ of solution. What is the concentration in mol/dm³?
  1. 0.002 mol/dm³
  2. 2 mol/dm³
  3. 12.5 mol/dm³
  4. 125 mol/dm³
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8.22) How do you calculate the mass of a solute in a solution?
  1. Concentration × volume
  2. Volume + concentration
  3. Volume − concentration
  4. Volume/concentration
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8.23) Calculate the amount of solute dissolved in 4 dm³ of a 0.2 mol/dm³ solution.
  1. 0.05 mol
  2. 0.8 mol
  3. 3.8 mol
  4. 4.2 mol
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8.24) Calculate the volume of a 0.5 mol/dm³ solution that contains 1 mol of solute.
  1. 0.5 dm³
  2. 0.75 dm³
  3. 1 dm³
  4. 2 dm³
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8.25) A hydrogen chloride solution has a concentration of 0.5 mol/dm³. Given that the molar mass of hydrogen chloride is 36.5, what is the solution's concentration in g/dm³?
  1. 0.01825 g/dm³
  2. 18.25 g/dm³
  3. 36.55 g/dm³
  4. 73 g/dm³
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8.26) If a solution has a concentration of 10 g/dm³ and the molecules in the solution have a molar mass of 32, what is the concentration of the solution in mol/dm³?
  1. 0.3125
  2. 3.2
  3. 22
  4. 320
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8.27) If you need 48 g of magnesium to make 80 g of magnesium oxide, how much magnesium would you need to make 20 g of magnesium oxide?
  1. 6 g
  2. 12 g
  3. 18 g
  4. 24 g
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8.28) A NaOH solution has a relative formula mass of 40 and a 4 g/dm³ concentration. What is the concentration in mol/dm³?
  1. 0.1
  2. 2
  3. 20
  4. 80
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8.29) How much water must be added to 100 mL of pure bleach to make 10% bleach?
  1. 700 mL
  2. 800 mL
  3. 900 mL
  4. 1,000 mL
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8.30) A dilution factor of 1/10 means what part specimen and what part diluent?
  1. 1 part specimen, 9 parts diluent
  2. 1 part specimen, 10 parts diluent
  3. 1 part specimen, 10.5 parts diluent
  4. 1 part specimen, 11 parts diluent
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8.31) What is the mass percent of a solution containing 25 g of glucose in 500 g of solution?
  1. 5%
  2. 10%
  3. 15%
  4. 20%
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8.32) How many grams of NaOH are in 100 mL of a 15% NaOH solution?
  1. 15 g
  2. 30 g
  3. 45 g
  4. 60 g
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8.33) If 0.5 ml of a sample is added to 10 ml of diluent, what is the dilution factor?
  1. 10
  2. 11
  3. 20
  4. 21
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8.34) You are making a solution of 1 part solute and 9 parts water. How many milliliters of water are needed to make 500 mL of the solution?
  1. 50
  2. 59
  3. 400
  4. 450
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8.35) A dilution ratio of 1:12 means what part specimen and what part diluent?
  1. 1 part specimen, 12 parts diluent
  2. 1 part specimen, 13 parts diluent
  3. 11 parts specimen, 1 part diluent
  4. 12 parts specimen, 1 part diluent
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8.36) How many grams of sodium chloride are needed to make 200 mL of a 5% m/v sodium chloride solution?
  1. 5 g
  2. 10 g
  3. 15 g
  4. 20 g
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8.37) How many milliliters of 5% hydrochloric acid are needed to make 500 mL of 2% hydrochloric acid?
  1. 100
  2. 200
  3. 300
  4. 400
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8.38) A lab technician needs 300 mL of 5% acetic acid but only has pure acetic acid. How much pure acetic acid and how much water does the technician need to make the required solution?
  1. 5 mL of pure acetic acid and 295 mL of water
  2. 10 mL of pure acetic acid and 290 mL of water
  3. 15 mL of pure acetic acid and 285 mL of water
  4. 20 mL of pure acetic acid and 280 mL of water
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8.39) A lab technician requires 400 mL of a 3% solution but has only a 5% solution available. How would the lab technician prepare the 3% solution?
  1. Mix 240 mL of the 5% solution with 160 mL of diluent
  2. Mix 300 mL of the 5% solution with 100 mL of diluent
  3. Mix 360 mL of the 5% solution with 40 mL of diluent
  4. Mix 380 mL of the 5% solution with 20 mL of diluent
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8.40) A lab technician has an 8% solution of hypochlorite and needs to make 700 mL of a 4% solution of hypochlorite. What volume of solute and solvent does the technician need to use?
  1. 300 mL of the 8% solution in 400 mL of solvent
  2. 350 mL of the 8% solution in 350 mL of solvent
  3. 400 mL of the 8% solution in 300 mL of solvent
  4. 450 mL of the 8% solution in 250 mL of solvent
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8.41) A lab technician needs 450 mL of a 2% acid solution for a manual dilution of white blood cells but only a 6% solution of acetic acid is available. How would the lab technician prepare the 2% solution?
  1. Mixing 9 mL of 6% solute in 441 mL of diluent
  2. Mixing 27 mL of 6% solute in 423 mL of diluent
  3. Mixing 150 mL of 6% solute in 300 mL of diluent
  4. Mixing 200 mL of 6% solute in 250 mL of diluent
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8.42) How many milliliters of an 80% acetic acid solution is needed to make 2 liters of a 10% acetic acid solution?
  1. 20
  2. 50
  3. 100
  4. 250
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8.43) 100 mL of 20% hydrochloric acid can make how many mL of 4% hydrochloric acid?
  1. 50 mL
  2. 80 mL
  3. 100 mL
  4. 500 mL
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8.44) You need a liter of 5% concentration of hydrochloric acid but you only have a 40% concentration. How can you make the 5% concentration?
  1. Mix 125 mL of hydrochloric acid with 875 mL of water
  2. Mix 175 mL of hydrochloric acid with 825 mL of water
  3. Mix 200 mL of hydrochloric acid with 800 mL of water
  4. Mix 225 mL of hydrochloric acid with 775 mL of water
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8.45) A lab technician has 20 L of a 2 g/L solution. To this solution, the technician adds 30 L of water. What is the final concentration of the new solution?
  1. 0.2 g/L
  2. 0.8 g/L
  3. 1.2 g/L
  4. 1.25 g/L
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8.46) How many milliliters of formalin are needed to make 1,000 mL of 10% formalin?
  1. 10
  2. 100
  3. 1,000
  4. 10,000
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8.47) A lab technician has a liter bottle of 90% alcohol. The technician needs a 100 mL solution of 70% alcohol. To make the required solution, the lab technician must mix _____ mL of the 90% alcohol with _____ mL of water.
  1. 66.6, 33.4
  2. 77.8, 22.2
  3. 84.5, 15.5
  4. 90.0, 10.0
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8.48) A lab technician has a liter of 85% alcohol. How much water must the technician add to the alcohol to dilute it to 70%?
  1. 214 mL
  2. 528 mL
  3. 1,214 mL
  4. 1,528 mL
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8.49) A lab technician needs 1 L of 10% acetic acid but only has pure acetic acid. How can the technician make the required solution?
  1. By mixing 1 L of pure acetic acid with 10 L of water
  2. By mixing 1 L of pure acetic acid with 9 L of water
  3. By mixing 10 mL of pure acetic acid with 990 mL of water
  4. By mixing 100 mL of pure acetic acid with 900 mL of water
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8.50) A lab technician has 5 liters of a 2 g/L solution and wants to create 3 liters of a 1 g/L solution. How many liters of the 2 g/L solution must the technician use?
  1. 1.5
  2. 2
  3. 2.5
  4. 3
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8.51) A lab assistant has a 100x stock solution. From this solution, the assistant wants to make 500 mL of a 5x solution. How much of the 100x stock solution does the assistant need?
  1. 5 mL
  2. 10 mL
  3. 25 mL
  4. 50 mL
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8.52) How many grams of sodium chloride are needed to make 300 mL of a 2% m/v solution?
  1. 2
  2. 4
  3. 6
  4. 20
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8.53) How would you prepare 400 mL of a 1% v/v acetic acid solution?
  1. 1 mL of glacial acetic acid in 399 mL of water
  2. 2 mL of glacial acetic acid in 398 mL of water
  3. 3 mL of glacial acetic acid in 397 mL of water
  4. 4 mL of glacial acetic acid in 396 mL of water
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8.54) What does 5% w/v mean?
  1. 5 grams of solute dissolved in 100 mL of solution
  2. 5 grams of solute dissolved in 100 mL of solvent
  3. 5 mL of solute dissolved in 100 mL of solution
  4. 5 mL of solute dissolved in 100 mL of solvent
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8.55) Calculate the %(m/m) of a solution that has 6 g of solute in 80 g of solution.
  1. 7.5%
  2. 8.1%
  3. 12.3%
  4. 13.3%
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8.56) Which of these expresses solution concentration for a solid solute dissolved in a liquid solvent?
  1. %(m/m)
  2. %(m/v)
  3. %(v/m)
  4. %(v/v)
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8.57) How many grams of a solute is required to produce 1.5 L of a 25%(m/v) solution?
  1. 375 g
  2. 425 g
  3. 500 g
  4. 625 g
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8.58) How many grams of a solute is required to produce 400 mL of a 10%(m/v) solution?
  1. 4 g
  2. 10 g
  3. 15 g
  4. 40 g
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8.59) Calculate the %m/m of a solution that has 30 grams of solute and 90 grams of solvent.
  1. 8.3%
  2. 9.1%
  3. 11%
  4. 25%
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8.60) What is the formula for calculating a percent v/v solution?
  1. (solute volume / solvent volume) × 100
  2. (solute volume / solution volume) × 100
  3. (solution volume / solute volume) × 100
  4. (solvent volume / solute volume) × 100
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8.61) What is the formula for calculating a percent w/v solution?
  1. (solute mass / solution mass) × 100
  2. (solute mass / solution volume) × 100
  3. (solution volume / solute mass) × 100
  4. (solution volume / solute volume) × 100
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8.62) What is the formula for calculating a percent w/w solution?
  1. (solute mass / solution mass ) × 100
  2. (solute mass / solution volume) × 100
  3. (solution mass / solute mass) × 100
  4. (solution mass / solute volume) × 100
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8.63) Which of these is NOT an acceptable way to express solution concentration?
  1. volume/volume (v/v)
  2. volume/weight (v/w)
  3. weight/volume (w/v)
  4. weight/weight (w/w)
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8.64) Calculate the density of a liquid that has a mass of 40 mL, a weight of 50 grams, and a boiling point of 110°C.
  1. 0.8 g/mL
  2. 0.9 g/mL
  3. 1.25 g/mL
  4. 1.5 g/mL
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8.65) What is the osmolarity of a 1 mol/L NaCl solution?
  1. 1 osmol/L
  2. 2 osmol/L
  3. 3 osmol/L
  4. 4 osmol/L
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8.66) What is the osmolarity of 400 ml of a 15 % MgCl₂ solution? (Assume magnesium has a molecular weight of 24.3 and chlorine has a molecular weight of 35.5.)
  1. 4.73 OsM
  2. 5.91 OsM
  3. 6.39 OsM
  4. 7.82 OsM
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8.67) A laboratory has an autoclave rule stating "Do not fill containers more than half full with liquids". If a lab technician has to prepare 220 ml of media for autoclaving, which of these volume containers would comply with the rule?
  1. 100 mL
  2. 300 mL
  3. 400 mL
  4. 500 mL
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8.68) A pipette gives a reading of 4.9 mL when the true value of the volume of liquid inside the pipette is 5.0 mL. What is the percent error?
  1. 2%
  2. 4%
  3. 6%
  4. 8%
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8.69) How many milliliters of formalin are needed to make 500 mL of 10% formalin?
  1. 10 mL
  2. 50 mL
  3. 90 mL
  4. 100 mL
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8.70) A urine culture was plated with a 0.001 mL loop. To report the colony count in colonies per mL, the number of colonies on the plate must be multiplied by:
  1. 100
  2. 200
  3. 1,000
  4. 2,000
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Section 9: Statistics

9.1) Which of these numbers is the largest?
  1. 3.2
  2. 3.154
  3. 3.0381
  4. 3.1542
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9.2) Which of these numbers is the smallest?
  1. 1/3
  2. 0.25
  3. 0.125
  4. 1/6
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9.3) Which of these numbers is smaller than 2.88?
  1. 2.9
  2. 2.882
  3. 2.8812
  4. 2.87
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9.4) The degree to which a test measures what it is supposed to measure is called:
  1. integrity
  2. reliability
  3. standardization
  4. validity
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9.5) A test gives the following control values:
Day 1 2 3 4
Result (U/L) 1.2 1.5 1.8 2.1
These control values demonstrate a(n):
  1. outlier
  2. random variation
  3. repeating pattern
  4. trend
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9.6) A data point that differs significantly from other data points is called a(n):
  1. outsider
  2. outlier
  3. nonconformist
  4. radical
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9.7) For data distributed normally, how many values are within one standard deviation from the mean?
  1. 50%
  2. 68%
  3. 83%
  4. 95%
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9.8) For data distributed normally, how many values are within three standard deviations from the mean?
  1. 68%
  2. 83%
  3. 95%
  4. 99.7%
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9.9) For data distributed normally, how many values are within two standard deviations from the mean?
  1. 50%
  2. 68%
  3. 83%
  4. 95%
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9.10) A control has a mean of 2.8 with a standard deviation of 0.3. This means 68% of the values should fall within a range of:
  1. 2.0−3.1
  2. 2.2−3.4
  3. 2.3−3.3
  4. 2.5−3.1
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9.11) If a control has a mean of 5 and a standard deviation of 1, what range should encompass 95% of the observed values?
  1. 1–9
  2. 2–8
  3. 3–7
  4. 4–6
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9.12) What is the standard deviation of 2, 4, 5, and 9 to two decimal places?
  1. 1.50
  2. 2.12
  3. 2.55
  4. 3.28
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9.13) What does the standard deviation tell you?
  1. How many errors are in the data set
  2. How spread out the data is
  3. The average value in the data set
  4. The number the data tends to cluster around
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9.14) What is the final step in calculating the standard deviation?
  1. Calculate the mean
  2. Calculate the mean of the squared differences
  3. Find the square root of the variance
  4. For each number, subtract the mean and square the result
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9.15) The following data were calculated on a series of 100 determinations of a control.
Mean 5.8
Median 6.0
Mode 5.7
Range 1.5–20.2
Standard deviation 0.25
If confidence limits are set at ±2 standard deviations, what are the allowable limits for the control?
  1. 5.30–6.30
  2. 5.35–6.25
  3. 5.50–5.90
  4. 5.60–5.90
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9.16) A test has a mean of 72 mg/dL and a standard deviation of 3 mg/dL. If all control values must fall within 3 standard deviations of the mean, which of the following values is outside the acceptable range?
  1. 62 mg/dL
  2. 71 mg/dL
  3. 78 mg/dL
  4. 80 mg/dL
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9.17) If the mean for an analyte is 10.1 mg/dL and the standard deviation is 1.7 mg/dL, calculate a reference range that includes the values within two standard deviations of the mean.
  1. 2.3–4.7 mg/dL
  2. 6.7–13.5 mg/dL
  3. 8.4–11.8 mg/dL
  4. 9.8–10.5 mg/dL
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9.18) Which acceptable range do laboratories typically use for quality control results?
  1. One standard deviation from the mean
  2. The middle 68% of the results
  3. The outer 5% of the results
  4. Two standard deviations from the mean
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9.19) What is the probability of three consecutive control values exceeding ±2 standard deviations by chance alone?
  1. 1:400
  2. 1:1,600
  3. 1:8,000
  4. 1:16,000
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9.20) If a data set has a mean of 7.2 and a standard deviation of 1.2, what range of values falls within two standard deviations of the mean?
  1. 4.8–9.6
  2. 6.0–8.4
  3. 7.2–9.6
  4. 8.6–10.2
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9.21) A mean value of 100 mg/dL and a standard deviation of 1.8 mg/dL were obtained from a set of glucose measurements. What range of results falls within 2 standard deviations from the mean?
  1. 94.6–105.4 mg/dL
  2. 96.4–103.6 mg/dL
  3. 97.3–102.7 mg/dL
  4. 98.2–101.8 mg/dL
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9.22) A test gives the following results:
Day 1 2 3 4 5 6 7 8 9 10
Value 39 42 33 51 50 47 43 41 50 45
Assuming the test has an acceptable range of ± 2 SD, a standard deviation of 3, and a target value of 45, how many days was the test outside the acceptable range?
  1. 1
  2. 2
  3. 3
  4. 4
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9.23) A test has a mean of 190.5 and a standard deviation of 2. If all control values must fall within 3 standard deviations of the mean, what is the acceptable range for the control values?
  1. 184.5–196.5
  2. 185.5–195.5
  3. 187.5–193.5
  4. 188.5–192.5
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9.24) Given the following data, how many quality control results are beyond 2 standard deviations from the mean?
QC results 17.1, 15.2, 16.2, 19.9, 21.6
Mean 18.0
Coefficient of variation 5%
  1. 1
  2. 2
  3. 3
  4. 4
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9.25) In a normal distribution, what percentage of cases are above the mean?
  1. 50%
  2. 68%
  3. 75%
  4. 100%
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9.26) What is the most likely cause of a single control value deviating beyond 3 standard deviations?
  1. Calibration drift
  2. Random error
  3. Reagent degradation
  4. Wear and tear of laboratory equipment
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9.27) A hospital wants to set a new reference range for fasting blood glucose. It measures the fasting blood glucose levels of 451 healthy patients. The mean is 85 mg/dL and the standard deviation is 7.2 mg/dL. Calculate a reference range that covers 95% of the patients.
  1. 10.8–61.2 mg/dL
  2. 66.2–110.8 mg/dL
  3. 70.6–99.4 mg/dL
  4. 74.8–92.6 mg/dL
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9.28) The standard deviation of a data set is the _____________ of the variance.
  1. dispersion
  2. range
  3. square
  4. square root
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9.29) A test has a mean of 10.0 and a standard deviation of 1.4. If all control values must fall within 2 standard deviations of the mean, what is the acceptable range for the control values?
  1. 7.2–12.8
  2. 8.3–11.7
  3. 8.6–11.4
  4. 9.0–11.0
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9.30) If you perform a test 100 times, how many of the results would you expect to be outside of +/-2 standard deviations?
  1. 3
  2. 5
  3. 20
  4. 95
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9.31) How many of the following quality control results are beyond 2 standard deviations from the mean?
QC results 120, 289, 365, 432, 678
Mean 377
Coefficient of variation 15%
  1. 1
  2. 2
  3. 3
  4. 4
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9.32) Which Westgard rule is violated if two measurements in the same run have a 4 standard deviation difference?
  1. 1₂ₛ
  2. 2₂ₛ
  3. 4₁ₛ
  4. R₄ₛ
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9.33) Which formula calculates the coefficient of variation?
  1. Mean / standard deviation
  2. Standard deviation / mean
  3. Standard deviation / variance
  4. Variance / mean
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9.34) If the mean for creatinine is 71.0 and the standard deviation is 6.0, what is the coefficient of variation to two significant figures?
  1. 8.4%
  2. 8.5%
  3. 9.2%
  4. 9.3%
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9.35) The _________ the coefficient of variation, the more _________ the values.
  1. higher, accurate
  2. higher, precise
  3. lower, accurate
  4. lower, precise
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9.36) Automated white blood cell counts were performed on 29 blood samples. The mean value was 8.0 cells/nL and the standard deviation was 1.2 cells/nL. What is the coefficient of variation?
  1. 15%
  2. 30%
  3. 45%
  4. 60%
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9.37) Calculate the coefficient of variation for a test that has a mean of 15 and a standard deviation of 3.
  1. 0.2%
  2. 5%
  3. 20%
  4. 50%
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9.38) Ten urea quality control tests were run on serum specimens. The mean was 13.8 mg/dL and the standard deviation was 0.6 mg/dL. Calculate the coefficient of variation to one decimal place.
  1. 0.2%
  2. 4.3%
  3. 5.7%
  4. 23.0%
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9.39) If the mean is 20 and two standard deviations is 8, what is the coefficient of variation?
  1. 0.2%
  2. 4%
  3. 20%
  4. 40%
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9.40) Which of these assays has the lowest coefficient of variation?
Assay Mean (U/L) Standard deviation
ALP 60 3
ALT 20 2
AST 25 3
GGT 20 5
  1. ALP
  2. ALT
  3. AST
  4. GGT
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9.41) Calculate the coefficient of variation for a set of data where the mean is 29 mg/dL and 2 standard deviations is 4 mg/dL.
  1. 5.7%
  2. 6.9%
  3. 15.7%
  4. 15.8%
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9.42) A thyroid stimulating hormone (TSH) quality control chart has the following data for the normal control:
Statistic Value
Count 43
Mean 2.4 mIU/L
2 SD 1.2 mIU/L
Calculate the coefficient of variation for the control.
  1. 25%
  2. 35%
  3. 40%
  4. 50%
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9.43) What is the mean of 1, 10, 20, 50, 50, 80, 90 and 99?
  1. 45
  2. 50
  3. 55
  4. 60
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9.44) What is the mean of the values 2, 2, 5, 7, and 14?
  1. 3
  2. 4
  3. 5
  4. 6
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9.45) The following values were obtained from a quality control test: 0, 0, 2, 2, 2, 3, 4, 5, 5, 7. Calculate the mean of these values.
  1. 3
  2. 3.25
  3. 3.5
  4. 3.75
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9.46) What is the mean of 4, 4, 8, 9, 10, 13, and 22?
  1. 4
  2. 7
  3. 9
  4. 10
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9.47) For data distributed normally, what percentage of cases is below the mean?
  1. 25%
  2. 50%
  3. 75%
  4. 100%
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9.48) The rounding rule for the mean states that:
  1. the answer should be rounded to a whole number
  2. the answer should be rounded to one decimal place greater than the raw data
  3. the answer should be rounded to two decimal places greater than the raw data
  4. the answer should have the same number of decimal places as the raw data
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9.49) Ten patients have the following bilirubin results: 3.1, 3.2, 3.8, 4.1, 4.7, 5.1, 5.9, 6.0, 6.2, 6.9. Calculate the mean of these results.
  1. 4.5
  2. 4.7
  3. 4.9
  4. 5.1
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9.50) Which statistic is a measure of the amount of variation or dispersion of a set of values?
  1. Mean
  2. Median
  3. Mode
  4. Standard deviation
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9.51) The value that appears most often in a set of data values is called the:
  1. average
  2. coefficient of variation
  3. mean
  4. mode
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9.52) The middle value in a sorted data set is called the:
  1. average
  2. coefficient of variation
  3. mean
  4. median
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9.53) What is the mode of 4, 4, 8, 9, 10, 13, and 22?
  1. 4
  2. 7
  3. 9
  4. 10
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9.54) What is the median of 4, 4, 8, 9, 10, 13, and 22?
  1. 4
  2. 7
  3. 9
  4. 10
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9.55) What is the range of 4, 4, 8, 9, 10, 13, and 22?
  1. 7
  2. 9
  3. 10
  4. 18
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9.56) If you add up all the values in a set and then divide the total by the number of values, you get the:
  1. coefficient of variation
  2. mean
  3. median
  4. mode
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9.57) What is the mode of 1, 2, 2, 3, 4 and 6?
  1. 2
  2. 3
  3. 4
  4. 5
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9.58) A biochemistry analyzer measures a parameter across seven serum samples. The results are 9, 4, 8, 10, 17, 5, and 10. Which statistic is the largest: the mean, mode, median, or range?
  1. Mean
  2. Median
  3. Mode
  4. Range
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9.59) How do you find the range of a set of results?
  1. Find the mean
  2. Square the variance
  3. Subtract the highest result from the lowest result
  4. Subtract the lowest result from the highest result
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9.60) What is the median of 1, 17, 2, 8, and 11?
  1. 2
  2. 5
  3. 8
  4. 11
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9.61) Which of these statistics is a measure of central tendency?
  1. Coefficient of variation
  2. Mean
  3. Range
  4. Standard deviation
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9.62) Find the mode and median of the sequence 3, 8, 9, 1, 9, 7, 3, 8, 9.
  1. Mode: 8, median: 7
  2. Mode: 8, median: 8
  3. Mode: 9, median: 7
  4. Mode: 9, median: 8
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9.63) To find the median of an even number of numbers, arrange the set in order and:
  1. subtract the smallest number from the largest number
  2. take the mean of the two middle numbers
  3. use the larger of the two middle numbers
  4. use the smaller of the two middle numbers
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9.64) A lab analyzes blood samples from 50 patents. The number of patients with abnormal results is 45. What is this expressed as a percentage?
  1. 5%
  2. 45%
  3. 90%
  4. 95%
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9.65) What is 21/25 expressed as a percentage?
  1. 4%
  2. 21%
  3. 46%
  4. 84%
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9.66) What is 3/25 expressed as a percentage?
  1. 0.08%
  2. 0.12%
  3. 8.33%
  4. 12%
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9.67) What is 60% expressed as a fraction in its simplest form?
  1. 3/5
  2. 4/9
  3. 5/8
  4. 6/100
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9.68) What is 9/20 expressed as a percentage?
  1. 2.22%
  2. 18%
  3. 22%
  4. 45%
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9.69) What is 25% expressed as a fraction?
  1. 1/2
  2. 1/3
  3. 1/4
  4. 1/5
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9.70) Tube A contains 24 mL of blood. Tube B contains 20 mL of blood. This means tube A contains ____% more blood than tube B.
  1. 4
  2. 16
  3. 20
  4. 25
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9.71) The coefficient of variation is a measure of:
  1. accuracy
  2. precision
  3. sensitivity
  4. specificity
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Section 10: Temperature

10.1) A thermometer reads 100.0°C. What is the resolution of the thermometer?
  1. 0.1°C
  2. 0.4°C
  3. 1°C
  4. 4°C
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10.2) What is 41°C in Fahrenheit?
  1. 74.6°F
  2. 100.0°F
  3. 105.8°F
  4. 110.3°F
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10.3) What is 25°C in Fahrenheit?
  1. 11°F
  2. 59°F
  3. 77°F
  4. 105°F
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10.4) What is 40°F in Celsius and rounded to the nearest whole number?
  1. −19°C
  2. 4°C
  3. 21°C
  4. 37°C
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10.5) How is Fahrenheit converted to Celsius?
  1. C = 5/9 × (F−32)
  2. C = 5/9 − 32F
  3. C = 9/5 + 32F
  4. C = 9/5 − 32F
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10.6) What is 86°F in Celsius?
  1. 25°C
  2. 30°C
  3. 32°C
  4. 37°C
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10.7) What is 77°F in Celsius?
  1. 25°C
  2. 40°C
  3. 55°C
  4. 70°C
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10.8) A specimen must be transported at body temperature plus or minus 5°F. Which of these temperatures is within that range?
  1. 25°F
  2. 50°F
  3. 75°F
  4. 100°F
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10.9) What is 37°C in Fahrenheit to the nearest whole number?
  1. 5.5°F
  2. 67.3°F
  3. 37.8°F
  4. 98.6°F
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10.10) What is 50°F in Celsius?
  1. 0°C
  2. 10°C
  3. 20°C
  4. 30°C
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10.11) What is 50°C in Fahrenheit?
  1. 92°F
  2. 102°F
  3. 112°F
  4. 122°F
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10.12) What is 100°C in Fahrenheit?
  1. 45°F
  2. 78°F
  3. 157°F
  4. 212°F
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10.13) What is 120°F in Celsius rounded to one decimal place?
  1. 42.9°C
  2. 44.8°C
  3. 46.2°C
  4. 48.9°C
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10.14) What is 0°C in Kelvin?
  1. 173.90 K
  2. 273.15 K
  3. 387.90 K
  4. 461.15 K
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Section 11: Units of measurement

11.1) If normal adult blood volume is approximately 70 mL/kg, calculate the approximate blood volume of a man weighing 70 kg.
  1. 4.9 mL
  2. 100 mL
  3. 4.9 L
  4. 1 L
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11.2) A mg is a unit to describe:
  1. length
  2. mass
  3. time
  4. volume
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11.3) Which of these units is the smallest?
  1. Meter
  2. Micrometer
  3. Millimeter
  4. Nanometer
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11.4) What is the SI unit for volume?
  1. Cubic decimeter
  2. Cubic meter
  3. Liter
  4. Milliliter
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11.5) Which of these units is the largest?
  1. Gram
  2. Kilogram
  3. Microgram
  4. Milligram
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11.6) What is the basic metric unit for measuring weight?
  1. Gram
  2. Liter
  3. Pascal
  4. Pound
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11.7) What is the basic metric unit for measuring length?
  1. Foot
  2. Inch
  3. Meter
  4. Meter cubed
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11.8) What does the prefix kilo- mean?
  1. 10
  2. 100
  3. 1,000
  4. 10,000
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11.9) What does the prefix centi- mean?
  1. 1/10
  2. 1/100
  3. 1/1,000
  4. 1/1,000,000
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11.10) What does the prefix nano- mean?
  1. 1 hundredth
  2. 1 thousandth
  3. 1 millionth
  4. 1 billionth
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11.11) What is the abbreviation for moles?
  1. ml
  2. mo
  3. mol
  4. z
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11.12) What does the symbol μ represent in measurements?
  1. 10⁹
  2. 10⁻³
  3. 10⁻⁶
  4. 10⁻⁹
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11.13) What is the abbreviation for centi-?
  1. c
  2. cent
  3. ci
  4. cm
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11.14) Microgram can be abbreviated as:
  1. Mg
  2. Mig
  3. Migs
  4. mcg
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11.15) Which prefix means 10⁻⁶?
  1. Centi-
  2. Kilo-
  3. Micro-
  4. Nano-
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11.16) What number is a mole?
  1. 10⁴²
  2. 2.71828
  3. 3.14159
  4. 6 × 10²³
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11.17) Cubic decimeters are more commonly known as:
  1. grams
  2. liters
  3. meters cubed
  4. moles
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11.18) Which prefix means 0.001?
  1. Micro-
  2. Centi-
  3. Pico-
  4. Milli-
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11.19) Which is the correct order from largest to smallest?
  1. Millimeter, micrometer, nanometer
  2. Nanometer, millimeter, micrometer
  3. Micrometer, millimeter, nanometer
  4. Micrometer, nanometer, millimeter
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11.20) Parts per million (ppm) can also be expressed as:
  1. cm³
  2. dm³
  3. mL/billion
  4. mg/L
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11.21) Which of these is a unit of concentration?
  1. M
  2. dL
  3. mmol
  4. μg
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11.22) How many millimoles are in a mole?
  1. 1,000
  2. 10,000
  3. 100,000
  4. 1 million
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11.23) 14.37 mg is the same as:
  1. 0.01437 g
  2. 0.1437 g
  3. 1.437 g
  4. 143.7 g
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11.24) 200 microliters is how many milliliters?
  1. 0.2 mL
  2. 2 mL
  3. 20 mL
  4. 2,000 mL
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11.25) If a red blood cell is 8 micrometers in diameter, what is its size in millimeters?
  1. 0.008 mm
  2. 0.8 mm
  3. 80 mm
  4. 8,000 mm
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11.26) A millimeter is a:
  1. tenth of a meter
  2. hundredth of a meter
  3. thousandth of a meter
  4. millionth of a meter
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11.27) 100 microliters is equal to how many milliliters?
  1. 0.01 mL
  2. 0.1 mL
  3. 1 mL
  4. 10 mL
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11.28) What is 1,010 mg in grams?
  1. 0.00101 g
  2. 1.01 g
  3. 10.1 g
  4. 101 g
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11.29) What is 10 mg in micrograms?
  1. 0.0001 mcg
  2. 0.001 mcg
  3. 10,000 mcg
  4. 100 mcg
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11.30) What is 0.05 mL in microliters?
  1. 0.0005 μL
  2. 0.005 μL
  3. 5 μL
  4. 50 μL
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11.31) To convert micrograms to grams, you need to multiply by:
  1. 10⁻³
  2. 10⁻⁹
  3. 10⁻⁶
  4. 10⁻¹⁰
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11.32) What is 1 dm³ in cm³?
  1. 0.01 cm³
  2. 0.1 cm³
  3. 10 cm³
  4. 1,000 cm³
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11.33) One femtoliter is equivalent to how many liters?
  1. 10⁻²¹
  2. 10⁻²⁴
  3. 10⁻¹⁵
  4. 10⁻¹⁸
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