HESI A2 MATH ON THE EXAM, HESI A2 MATH QUESTIONS,
HESI A2 V2 MATH, HESI MASTER SOPHIA A2 MATH –
COMPREHENSIVE PRACTICE EXAM WITH RATIONALES
CORE DOMAINS
Basic Arithmetic: Fractions, Decimals, and Percentages
Ratios, Proportions, and Rate Calculations
Measurement Conversions: Metric and Household
Dosage Calculations and Medication Math
Basic Algebra and Equation Solving
Word Problems and Data Interpretation
INTRODUCTION
This comprehensive practice examination is designed for nursing students
preparing for the HESI A2 Mathematics section. It covers all major topics
tested on the exam, including fractions, decimals, percentages, ratios,
proportions, unit conversions, dosage calculations, basic algebra, and word
problems. Each question is followed by a detailed, step-by-step rationale to
reinforce understanding and build mathematical proficiency. The questions
are formatted to mirror the actual HESI A2 exam, providing realistic
preparation for test day. Emphasis is placed on accuracy, speed, and the
application of mathematical principles to healthcare scenarios.
SECTION ONE: BASIC ARITHMETIC – FRACTIONS, DECIMALS, AND
PERCENTAGES (QUESTIONS 1–30)
1. What is 3/4 + 2/3?
A. 1 1/12
B. 1 5/12
C. 1 7/12
D. 2 1/12
B. 1 5/12
RATIONALE: The least common denominator is 12. 3/4 = 9/12 and 2/3
= 8/12. Thus 9/12 + 8/12 = 17/12 = 1 5/12 .
,2. Convert 0.375 to a fraction in simplest form.
A. 3/8
B. 5/8
C. 3/10
D. 375/100
A. 3/8
RATIONALE: 0.375 = 375/1000. Dividing numerator and denominator
by 125 gives 3/8 .
3. What is 15% of 240?
A. 24
B. 30
C. 36
D. 40
C. 36
RATIONALE: Convert 15% to 0.15 and multiply: 240 × 0.15 = 36 .
4. What is the decimal equivalent of 7/20?
A. 0.25
B. 0.30
C. 0.35
D. 0.40
C. 0.35
RATIONALE: 7 ÷ 20 = 0.35 .
5. Convert 5 3/4 to a decimal. Round to the nearest tenth.
A. 5.75
B. 5.7
C. 5.8
D. 6
, C. 5.8
RATIONALE: 5 3/4 = 5.75. Rounding to the nearest tenth gives 5.8 .
6. Subtract: 7 7/10 − 3 4/5
A. 3 9/10
B. 4 3/5
C. 3 1/2
D. 4 1/10
A. 3 9/10
RATIONALE: Convert to improper fractions: 77/10 − 19/5 = 77/10 −
38/10 = 39/10 = 3 9/10 .
7. Change 0.26 to a fraction.
A. 13/50
B. 26/100
C. 7/8
D. 2 6/10
A. 13/50
RATIONALE: 0.26 = 26/100. Divide numerator and denominator by 2 to
get 13/50 .
8. Multiply: 4/9 × 1 4/5 × 2/5
A. 1 32/45
B. 7/16
C. 8/25
D. 1 10/19
C. 8/25
RATIONALE: Convert 1 4/5 to 9/5. Multiply: (4/9) × (9/5) × (2/5) = (4 × 9
× 2) / (9 × 5 × 5) = 72/225 = 8/25 .
9. Add: 2/3 + 4/9
HESI A2 V2 MATH, HESI MASTER SOPHIA A2 MATH –
COMPREHENSIVE PRACTICE EXAM WITH RATIONALES
CORE DOMAINS
Basic Arithmetic: Fractions, Decimals, and Percentages
Ratios, Proportions, and Rate Calculations
Measurement Conversions: Metric and Household
Dosage Calculations and Medication Math
Basic Algebra and Equation Solving
Word Problems and Data Interpretation
INTRODUCTION
This comprehensive practice examination is designed for nursing students
preparing for the HESI A2 Mathematics section. It covers all major topics
tested on the exam, including fractions, decimals, percentages, ratios,
proportions, unit conversions, dosage calculations, basic algebra, and word
problems. Each question is followed by a detailed, step-by-step rationale to
reinforce understanding and build mathematical proficiency. The questions
are formatted to mirror the actual HESI A2 exam, providing realistic
preparation for test day. Emphasis is placed on accuracy, speed, and the
application of mathematical principles to healthcare scenarios.
SECTION ONE: BASIC ARITHMETIC – FRACTIONS, DECIMALS, AND
PERCENTAGES (QUESTIONS 1–30)
1. What is 3/4 + 2/3?
A. 1 1/12
B. 1 5/12
C. 1 7/12
D. 2 1/12
B. 1 5/12
RATIONALE: The least common denominator is 12. 3/4 = 9/12 and 2/3
= 8/12. Thus 9/12 + 8/12 = 17/12 = 1 5/12 .
,2. Convert 0.375 to a fraction in simplest form.
A. 3/8
B. 5/8
C. 3/10
D. 375/100
A. 3/8
RATIONALE: 0.375 = 375/1000. Dividing numerator and denominator
by 125 gives 3/8 .
3. What is 15% of 240?
A. 24
B. 30
C. 36
D. 40
C. 36
RATIONALE: Convert 15% to 0.15 and multiply: 240 × 0.15 = 36 .
4. What is the decimal equivalent of 7/20?
A. 0.25
B. 0.30
C. 0.35
D. 0.40
C. 0.35
RATIONALE: 7 ÷ 20 = 0.35 .
5. Convert 5 3/4 to a decimal. Round to the nearest tenth.
A. 5.75
B. 5.7
C. 5.8
D. 6
, C. 5.8
RATIONALE: 5 3/4 = 5.75. Rounding to the nearest tenth gives 5.8 .
6. Subtract: 7 7/10 − 3 4/5
A. 3 9/10
B. 4 3/5
C. 3 1/2
D. 4 1/10
A. 3 9/10
RATIONALE: Convert to improper fractions: 77/10 − 19/5 = 77/10 −
38/10 = 39/10 = 3 9/10 .
7. Change 0.26 to a fraction.
A. 13/50
B. 26/100
C. 7/8
D. 2 6/10
A. 13/50
RATIONALE: 0.26 = 26/100. Divide numerator and denominator by 2 to
get 13/50 .
8. Multiply: 4/9 × 1 4/5 × 2/5
A. 1 32/45
B. 7/16
C. 8/25
D. 1 10/19
C. 8/25
RATIONALE: Convert 1 4/5 to 9/5. Multiply: (4/9) × (9/5) × (2/5) = (4 × 9
× 2) / (9 × 5 × 5) = 72/225 = 8/25 .
9. Add: 2/3 + 4/9
