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HESI A2 Math : 105 Practice Questions with Rationales – Dosage Calculations, Conversions, Fractions, Ratios & Word Problems

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Pass the HESI A2 Math section on your first attempt with this comprehensive test bank featuring 105 practice questions and detailed rationales. Designed for nursing students preparing for the HESI entrance exam, this guide covers every math topic tested. Topics covered include: Basic arithmetic – fractions, decimals, percentages, order of operations Ratios, proportions, and rates – solving for x, scaling, real-world applications Dosage calculations (nursing focus) – desired dose formula, weight-based dosing, IV flow rates (mL/hr and gtt/min) Essential conversions – metric, household (tsp, tbsp, oz, cup), apothecary (grains to mg) Word problems – intake/output, temperature conversion (°C to °F), medication scheduling, cost calculations Mixed review & HESI-style challenge questions Includes: Quick reference formulas and conversions (memorize first!) Step-by-step rationales for every answer Final exam day one-page cheat sheet Each question mirrors the actual HESI A2 Math format, helping you build speed, accuracy, and confidence. Updated for . A+ verified. Perfect for pre-nursing students, LPN/LVN programs, and RN entrance exams.

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HESI MATH 2026/2027 100+ PRACTICE
QUESTIONS & MULTIPLE-CHOICE ANSWERS
UPDATED SOLUTIONS WITH RATIONALES –
HIGH YIELD CONTENT




## Table of Contents


1. How to Use This Guide for Maximum Retention
2. Topic Areas Covered (HESI A2 Math Blueprint)
3. Quick Reference Formulas & Conversions (Memorize First)
4. Practice Questions (100+)
- Section 1: Basic Arithmetic (Fractions, Decimals, Percentages) –
Questions 1–20
- Section 2: Ratios, Proportions, and Rates – Questions 21–35
- Section 3: Dosage Calculations (Nursing Focus) – Questions 36–55
- Section 4: Conversions (Metric, Household, Apothecary) – Questions
56–70
- Section 5: Word Problems & Real-World Applications – Questions
71–90
- Section 6: Mixed Review & HESI-Style Challenge – Questions 91–
105

,2|Page


5. Answer Key with Rationales (Complete Explanations)
6. Final Exam Day Cheat Sheet (One-Pager)


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## How to Use This Guide for Maximum Retention


| Step | Action |
| :--- | :--- |
| 1 | Memorize the **Quick Reference Formulas** section before
starting questions. |
| 2 | Take each section timed (1 minute per question). |
| 3 | Review **every rationale** – even for questions you got right. |
| 4 | Redo missed questions until you score 90%+. |
| 5 | Cut out the **Final Cheat Sheet** and review 10 minutes before
your exam. |


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## Topic Areas Covered (HESI A2 Math Blueprint)


| Topic | % of Exam | Questions in This Guide |
| :--- | :--- | :--- |

,3|Page


| Fractions, Decimals, Percentages | 25% | Questions 1–20 |
| Ratios & Proportions | 20% | Questions 21–35 |
| Dosage Calculations | 25% | Questions 36–55 |
| Conversions (Metric, Household) | 15% | Questions 56–70 |
| Word Problems | 15% | Questions 71–105 |


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## Quick Reference Formulas & Conversions (Memorize First)


### Fractions & Decimals


| Conversion | How To |
| :--- | :--- |
| Fraction to decimal | Divide numerator ÷ denominator |
| Decimal to percent | Multiply by 100 |
| Percent to decimal | Divide by 100 |
| Percent to fraction | Write over 100, simplify |


### Ratios & Proportions


| Formula | Example |

, 4|Page


| :--- | :--- |
| a/b = c/d → cross multiply: a×d = b×c | 2/3 = 4/6 → 2×6 = 3×4 = 12 |


### Dosage Calculations (Nursing)


| Formula | Equation |
| :--- | :--- |
| Desired dose formula | (Desired ÷ Have) × Vehicle = Amount to give |
| IV flow rate (mL/hr) | Total volume ÷ Total time (hours) |
| IV drop rate (gtt/min) | (Volume × Drop factor) ÷ Time (minutes) |
| Weight-based dosing | Dose (mg/kg) × Weight (kg) = Total dose |


### Essential Conversions (Memorize)


| Metric | Household | Apothecary |
| :--- | :--- | :--- |
| 1 kg = 1000 g | 1 tsp = 5 mL | 1 gr (grain) = 65 mg |
| 1 g = 1000 mg | 1 tbsp = 15 mL | 1 oz = 30 mL |
| 1 mg = 1000 mcg | 1 cup = 240 mL | 1 lb = 16 oz |
| 1 L = 1000 mL | 1 oz = 30 mL | 1 kg = 2.2 lb |


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