Full Nursing Mathematics Mock Exam | 200
Advanced Calculation Questions with Verified
Answers, Step-by-Step Workings & Detailed
Rationales | Dosage, IV Rates, Conversions &
More
1. A nurse is calculating a client's fluid intake. The client consumed 3/4 cup of
tea and 1/2 cup of water. How many cups of fluid did the client consume in
total?
A. 1 cup
B. 1 1/4 cups
C. 1 1/2 cups
D. 1 3/4 cups
Correct Answer: B
Workings:
• 3/4 + 1/2
• Convert to common denominator: 3/4 = 3/4; 1/2 = 2/4
• 3/4 + 2/4 = 5/4 = 1 1/4 cups
Rationale: When adding fractions, convert to a common denominator before
adding numerators. The sum 5/4 converts to the mixed number 1 1/4.
2. A nurse needs to divide a 0.5 mg dose into 4 equal doses. What is the amount
of each dose in micrograms?
A. 100 mcg
B. 125 mcg
1
,C. 150 mcg
D. 250 mcg
Correct Answer: B
Workings:
• 0.5 mg ÷ 4 = 0.125 mg per dose
• 0.125 mg × 1,000 mcg/mg = 125 mcg
Rationale: First divide the total dose into equal parts, then convert mg to mcg by
multiplying by 1,000.
3. What is 0.6 expressed as a fraction in simplest form?
A. 1/2
B. 2/3
C. 3/5
D. 5/6
Correct Answer: C
Workings:
• 0.6 = 6/10
• Simplify: 6 ÷ 2 = 3; 10 ÷ 2 = 5
• 6/10 = 3/5
Rationale: To convert a decimal to a fraction, write the decimal over its place
value (tenths = /10) and reduce to lowest terms.
4. A nurse must administer 1/3 of a 90 mL bottle of medication. How many mL
should the nurse give?
A. 20 mL
B. 25 mL
2
,C. 30 mL
D. 45 mL
Correct Answer: C
Workings:
• 90 mL × 1/3 = 90 ÷ 3 = 30 mL
Rationale: Multiplying by a fraction is equivalent to dividing by the denominator
when the numerator is 1.
5. Which of the following fractions is equivalent to 0.375?
A. 1/4
B. 3/8
C. 2/5
D. 5/8
Correct Answer: B
Workings:
• 0.375 = 375/1000
• Divide numerator and denominator by 125: 375 ÷ 125 = 3; 1000 ÷ 125 = 8
• 375/1000 = 3/8
Rationale: Simplify the fraction by dividing both numerator and denominator by
their greatest common factor.
6. A nurse is preparing to administer 5/8 of a 400 mL solution. How many mL
will be administered?
A. 200 mL
B. 250 mL
3
, C. 300 mL
D. 320 mL
Correct Answer: B
Workings:
• 400 ÷ 8 = 50
• 50 × 5 = 250 mL
Rationale: Divide the total by the denominator, then multiply by the numerator to
find the fractional part.
7. What is 1.25 + 0.75 + 2.5?
A. 3.5
B. 4.0
C. 4.5
D. 5.0
Correct Answer: C
Workings:
• 1.25 + 0.75 = 2.00
• 2.00 + 2.5 = 4.5
Rationale: Align decimal points when adding decimals, then add as whole
numbers.
8. A nurse needs to infuse 3/4 of a 1000 mL bag. How many mL will be infused?
A. 650 mL
B. 700 mL
C. 750 mL
D. 800 mL
4
Advanced Calculation Questions with Verified
Answers, Step-by-Step Workings & Detailed
Rationales | Dosage, IV Rates, Conversions &
More
1. A nurse is calculating a client's fluid intake. The client consumed 3/4 cup of
tea and 1/2 cup of water. How many cups of fluid did the client consume in
total?
A. 1 cup
B. 1 1/4 cups
C. 1 1/2 cups
D. 1 3/4 cups
Correct Answer: B
Workings:
• 3/4 + 1/2
• Convert to common denominator: 3/4 = 3/4; 1/2 = 2/4
• 3/4 + 2/4 = 5/4 = 1 1/4 cups
Rationale: When adding fractions, convert to a common denominator before
adding numerators. The sum 5/4 converts to the mixed number 1 1/4.
2. A nurse needs to divide a 0.5 mg dose into 4 equal doses. What is the amount
of each dose in micrograms?
A. 100 mcg
B. 125 mcg
1
,C. 150 mcg
D. 250 mcg
Correct Answer: B
Workings:
• 0.5 mg ÷ 4 = 0.125 mg per dose
• 0.125 mg × 1,000 mcg/mg = 125 mcg
Rationale: First divide the total dose into equal parts, then convert mg to mcg by
multiplying by 1,000.
3. What is 0.6 expressed as a fraction in simplest form?
A. 1/2
B. 2/3
C. 3/5
D. 5/6
Correct Answer: C
Workings:
• 0.6 = 6/10
• Simplify: 6 ÷ 2 = 3; 10 ÷ 2 = 5
• 6/10 = 3/5
Rationale: To convert a decimal to a fraction, write the decimal over its place
value (tenths = /10) and reduce to lowest terms.
4. A nurse must administer 1/3 of a 90 mL bottle of medication. How many mL
should the nurse give?
A. 20 mL
B. 25 mL
2
,C. 30 mL
D. 45 mL
Correct Answer: C
Workings:
• 90 mL × 1/3 = 90 ÷ 3 = 30 mL
Rationale: Multiplying by a fraction is equivalent to dividing by the denominator
when the numerator is 1.
5. Which of the following fractions is equivalent to 0.375?
A. 1/4
B. 3/8
C. 2/5
D. 5/8
Correct Answer: B
Workings:
• 0.375 = 375/1000
• Divide numerator and denominator by 125: 375 ÷ 125 = 3; 1000 ÷ 125 = 8
• 375/1000 = 3/8
Rationale: Simplify the fraction by dividing both numerator and denominator by
their greatest common factor.
6. A nurse is preparing to administer 5/8 of a 400 mL solution. How many mL
will be administered?
A. 200 mL
B. 250 mL
3
, C. 300 mL
D. 320 mL
Correct Answer: B
Workings:
• 400 ÷ 8 = 50
• 50 × 5 = 250 mL
Rationale: Divide the total by the denominator, then multiply by the numerator to
find the fractional part.
7. What is 1.25 + 0.75 + 2.5?
A. 3.5
B. 4.0
C. 4.5
D. 5.0
Correct Answer: C
Workings:
• 1.25 + 0.75 = 2.00
• 2.00 + 2.5 = 4.5
Rationale: Align decimal points when adding decimals, then add as whole
numbers.
8. A nurse needs to infuse 3/4 of a 1000 mL bag. How many mL will be infused?
A. 650 mL
B. 700 mL
C. 750 mL
D. 800 mL
4
