Relias RN Basic Math Ability Exam 2026/2027 | Nursing Test Questions with Verified Questions and Answers and Detailed Rationales | NCLEX Medication Calculation Prep | Get HighScore | Instant Download

INSTANT PDF DOWNLOAD — This is the comprehensive exam preparation guide for the Relias RN Basic Math Ability Exam for the 2026/2027 examination cycle, featuring verified questions and answers with detailed rationales including multiple-choice and direct calculation question formats . Designed for nursing students, registered nurses (RNs), licensed practical nurses (LPNs), and healthcare professionals requiring math competency validation, this resource consolidates the critical medication calculation and dosage conversion concepts required to achieve a top score on the Relias Basic Math Ability assessment . The Relias RN Basic Math Ability Exam tests foundational nursing math skills essential for safe medication administration and passing competency assessments required by healthcare employers . This verified resource provides comprehensive coverage of key Relias RN Basic Math Ability Exam topics, including: Essential Metric Conversions (Must Memorize): Weight Conversions: 1 kg = 1,000 g; 1 g = 1,000 mg; 1 mg = 1,000 mcg Volume Conversions: 1 L = 1,000 mL; 1 tsp = 5 mL; 1 tbsp = 15 mL; 1 oz = 30 mL Time Conversion: 1 hour = 60 minutes Key Mnemonic: When converting from larger to smaller units, multiply; from smaller to larger units, divide IV Flow Rate Calculations (mL/hr): Formula: Total Volume (mL) ÷ Total Time (hr) = mL/hr Sample Question: The physician orders 1,500 mg of a medication to be given over 90 minutes. The available medication is 1,500 mg/250 mL. You will set the pump to deliver how many mL/hr? (Round to nearest whole number) Correct Answer: 167 mL/hr (Convert 90 minutes to 1.5 hours; 250 mL ÷ 1.5 hr = 166.7 ≈ 167 mL/hr) IV Drip Rate Calculations (gtts/min): Formula: [Volume (mL) × Drop Factor (gtt/mL)] ÷ Time (min) = gtt/min Sample Question: The patient is to receive 1,000 mL of IVF over 8 hours. The IV set delivers 15 gtts/mL. The drip rate will be how many gtts/min? (Round to nearest whole number) Correct Answer: 31 gtts/min (125 mL/hr × 15 ÷ 60 = 31.25 ≈ 31 gtts/min) Medication Dosage Calculations (Tablets/Capsules): Formula: (Desired Dose ÷ Dose on Hand) × Quantity = Amount to Administer Sample Question: The physician orders 0.3 g of a drug every 12 hours orally. The drug is available in 150 mg caplets. How many caplets should the nurse administer? Correct Answer: 2 caplets (0.3 g = 300 mg; 300 mg ÷ 150 mg = 2 caplets) Liquid Medication Calculations (mL): Formula: Use ratio-proportion or dimensional analysis Sample Question: The physician has ordered 60 grams of a medication. On hand, the medication is available at 15 grams per 30 mL. How many mL will you administer? Correct Answer: 120 mL (15 g/30 mL = 60 g/x mL → cross multiply → 15x = 1800 → x = 120 mL) Weight-Based Dosing: Formula: Dose (mg/kg) × Weight (kg) = Total Dose; Convert lbs to kg by dividing by 2.2 Sample Question: A patient weighing 70 kg is prescribed a medication at 5 mg/kg/day. What is the total daily dose? Correct Answer: 350 mg/day (70 kg × 5 mg/kg = 350 mg/day) Sample Question (lb to kg) : The physician orders a medication to be administered at 0.9 mg/kg IV. The patient weighs 130 lbs. You are administering how many mg of the medication? Correct Answer: 53.2 mg (130 ÷ 2.2 = 59.09 kg; 0.9 mg/kg × 59.09 kg = 53.2 mg) Unit Conversions (mcg to mg, mg to mcg): Sample Question: Your patient is receiving 37.5 mcg of a medication. This is equivalent to how many mg? (Record answer using two decimal places) Correct Answer: 0.04 mg (37.5 mcg ÷ 1,000 = 0.0375 mg ≈ 0.04 mg) Sample Question: The order is for 0.375 mg of a medication to be given IV. The medication is supplied 500 mcg/2 mL. How many mL will the patient receive? Correct Answer: 1.5 mL (0.375 mg = 375 mcg; 500 mcg/2 mL = 250 mcg/mL; 375 mcg ÷ 250 mcg/mL = 1.5 mL) Insulin Sliding Scale Calculations: Formula: (Current Blood Glucose - 100) ÷ Divisor = Units of Insulin Sample Question: Your patient's blood glucose is 302 mg/dL. The sliding scale order is to administer insulin using this formula: (BG-100)÷40 = number of units to administer. Based upon your patient's glucose, you should administer how many units? (Round to nearest whole number) Correct Answer: 5 units [(302-100) = 202; 202 ÷ 40 = 5.05 ≈ 5 units] IV Piggyback (IVPB) Infusion Rates: Sample Question: An IV piggyback of 10,000 units in 100 mL is to be infused over 45 minutes. The pump should be programmed to deliver how many mL/hr? (Round to nearest whole number) Correct Answer: 133 mL/hr (45 min = 0.75 hr; 100 mL ÷ 0.75 hr = 133.3 ≈ 133 mL/hr) Safe Dosage Range Verification: Process: Calculate minimum and maximum safe dose based on weight; verify ordered dose falls within range Sample Question: The safe range is 2-4 mg/kg/day. Patient weighs 20 kg. Which order is safe? Correct Answer: 40-80 mg/day (2 mg × 20 kg = 40 mg minimum; 4 mg × 20 kg = 80 mg maximum) Advanced Math Ability Topics (if applicable): Temperature Conversions: Fahrenheit to Celsius: (°F - 32) × 5/9 = °C; Celsius to Fahrenheit: (°C × 9/5) + 32 = °F Sample Question: Convert 104° Fahrenheit to Celsius Correct Answer: 40° C [(104-32) = 72; 72 × 5/9 = 40° C] Military Time Conversion: Convert 15:17:52 hours to regular time Correct Answer: 3:17:52 PM Proportion Problems: Solve 9:14 :: x:56 Correct Answer: x = 36 (9/14 = x/56 → 9 × 56 = 14x → 504 = 14x → x = 36) Common Test-Taking Strategies for Relias Exam: Read Carefully : Note units (mg vs mcg, kg vs lb) Convert First : Always convert to same units before calculating Estimate : Does your answer make sense? Label Everything : Always write units with your answer Round Appropriately : Follow directions for rounding (nearest whole number, one decimal place, two decimal places) Double-check : Especially decimal placement (0.5 mg vs 5 mg is a 10-fold difference!) Common Pitfalls to Avoid: Confusing mg and mcg (1,000-fold difference); forgetting to convert pounds to kilograms; mixing up mL/hr and gtt/min formulas; misplacing decimals It features hundreds of exam-style questions including multiple choice, fill-in-the-blank, and direct calculation questions, each with verified answers and detailed rationales explaining the correct answer and clarifying common misconceptions . DOCUMENT ACCESS: This study guide is available as an instant digital download (PDF) immediately upon purchase. Fully text-searchable, printable, and accessible anytime through your user account. Trusted by thousands of nursing students and RNs for Relias RN Basic Math Ability Exam success and medication calculation competency validation . Relias RN Basic Math Ability Exam 2026/2027 Nursing Test Questions with Verified Questions and Answers and Detailed Rationales NCLEX Medication Calculation Prep Get HighScore Relias Basic Math Ability Test Bank RN Math Competency Assessment Medication Dosage Calculations Nursing IV Flow Rate mL/hr Calculation Practice IV Drip Rate gtt/min Drop Factor Problems Metric Conversions Nursing kg g mg mcg Weight-Based Dosing mg kg Calculation Pounds to Kilograms Conversion 2.2 Tablet Dosage Calculation Desired Dose Formula Liquid Medication mL Administration Unit Conversions mcg to mg mg to mcg Insulin Sliding Scale Formula BG-100 Divisor IV Piggyback IVPB Infusion Rate Safe Dosage Range Verification Pediatric Temperature Conversion Celsius Fahrenheit Military Time Conversion 24 Hour to 12 Hour Proportion Ratio Problems Nursing Math Relias Learning Healthcare Competency Nursing Math Test Taking Strategies Dosage Calc Safe Medication Administration NCLEX Prep Downloadable PDF Study Guide Relias RN Basic Math Ability A+ Guaranteed Pass