Skip to main content
Sign in Create a free account
Varsity Tutors
Sign in

Work with Roman numerals (as tested) - Health Education Systems Admission Assessment HESI

  1. A historical medical text was published in the year MCMXCIX. A revised edition was published 25 years later. In which year, expressed in Roman numerals, was the revised edition published?
    Answer: MMXXIV When you encounter Roman numeral problems on the HESI, you're being tested on both your ability to convert between number systems and perform basic arithmetic operations. These questions often appear in dosage calculations or historical contexts in healthcare. First, convert MCMXCIX to standard numbers. Break it down: M = 1000, CM = 900 (1000-100), XC = 90 (100-10), IX = 9 (10-1). So MCMXCIX = 1000 + 900 + 90 + 9 = 1999. Adding 25 years gives us 1999 + 25 = 2024. Now convert 2024 back to Roman numerals: 2000 = MM, 20 = XX, 4 = IV. Therefore, 2024 = MMXXIV. Looking at the wrong answers: Choice A (MMXXIII) represents 2023, which would be 24 years later, not 25. Choice C (MMXXV) represents 2025, suggesting you added 26 years instead of 25. Choice D (MMXXVI) represents 2026, indicating you added 27 years. These errors typically occur when students miscalculate the addition or make mistakes in Roman numeral conversion. Remember that IV = 4, not IIII, and that subtractive notation (like CM for 900) follows specific rules. For HESI success, practice converting years around 1900-2100 to Roman numerals, as these frequently appear in healthcare contexts. Always double-check your arithmetic when working with Roman numerals, and remember that healthcare dosage calculations may occasionally use Roman numerals, making this skill practically relevant to nursing.
  2. What is the sum of CDXCIV and DCLXVI? Express the result in Roman numerals.
    Answer: MCLX When you encounter Roman numeral arithmetic on the HESI exam, break the problem into manageable steps by first converting to Arabic numerals, performing the calculation, then converting back to Roman numerals. Let's convert each Roman numeral to Arabic numbers. CDXCIV breaks down as: CD (400) + XC (90) + IV (4) = 494. DCLXVI breaks down as: DC (600) + LX (60) + VI (6) = 666. Adding these: 494 + 666 = 1160. Now convert 1160 back to Roman numerals. Start with the largest values: 1000 = M, leaving 160. Then 100 = C, leaving 60. Finally, 60 = LX. Therefore, 1160 = MCLX. Looking at the wrong answers: Answer A (MCXL = 1140) represents an error of subtracting 20, likely from misreading LX as XL when converting back to Roman numerals. Answer C (MCCLX = 1260) adds an extra C (100), suggesting a calculation error or misplacement of the hundreds digit. Answer D (MCCLXI = 1261) not only includes the extra C from option C but also adds an extra I (1), compounding multiple conversion errors. The correct answer is B (MCLX = 1160). Study tip: For Roman numeral problems, always convert to Arabic numerals first, perform your arithmetic, then convert back. Double-check your work by converting your final answer back to Arabic to verify it matches your calculated sum. Remember the key subtractive combinations: IV (4), IX (9), XL (40), XC (90), CD (400), and CM (900).
  3. A pharmacist needs to divide a stock of MCCL mg of a medication into L equal doses. How many milligrams are in each dose? Express the answer as a Roman numeral.
    Answer: XXV When you encounter dosage calculation problems on the HESI, you're working with basic division and unit conversion. This question tests your ability to divide medication quantities and express answers in Roman numerals. To find the dose per unit, you need to divide the total stock by the number of doses: MCCL mgL doses\frac{\text{MCCL mg}}{\text{L doses}} First, convert the Roman numerals to Arabic numbers. MCCL = 1000 + 200 + 50 = 1,250 mg, and L = 50 doses. Now calculate: 1,250 mg50 doses=25 mg per dose\frac{1,250 \text{ mg}}{50 \text{ doses}} = 25 \text{ mg per dose} Converting 25 back to Roman numerals: 25 = XXV (10 + 10 + 5). Looking at the wrong answers: A) XXIII represents 23 mg, which would result from calculation errors in either the Roman numeral conversion or the division. C) XXVI represents 26 mg, likely from rounding errors or misreading the Roman numerals. D) XXX represents 30 mg, which could come from incorrectly calculating L as 40 instead of 50, giving you 1,250 ÷ 40 = 31.25, then rounding to 30. The correct answer is B) XXV, representing 25 mg per dose. For HESI success, practice converting between Roman and Arabic numerals until it's automatic, and always double-check your division with simple multiplication (25 × 50 = 1,250 ✓). Remember that medication calculations require precision—small errors can have serious consequences in healthcare settings.
  4. Which of the following values is the largest?
    Answer: CMLIV When you encounter Roman numerals on the HESI exam, you need to systematically convert each to standard numbers to make accurate comparisons. Let's convert each option by breaking down the Roman numeral components: Option A (CDLXXXIX): CD = 400, L = 50, XXX = 30, IX = 9. Total: 400 + 50 + 30 + 9 = 489 Option B (DCXCIX): D = 500, C = 100, XC = 90, IX = 9. Total: 500 + 100 + 90 + 9 = 699 Option C (CMLIV): CM = 900, L = 50, IV = 4. Total: 900 + 50 + 4 = 954 Option D (DCCCLXXV): D = 500, CCC = 300, L = 50, XX = 20, V = 5. Total: 500 + 300 + 50 + 20 + 5 = 875 Comparing the values: 954 (C) > 875 (D) > 699 (B) > 489 (A), making C the largest. Option A is incorrect because 489 is the smallest value. Option B is wrong because while 699 is substantial, it's still less than both C and D. Option D is incorrect because 875, though close to the correct answer, falls short of 954. Remember that subtractive combinations like CM (900) and CD (400) represent larger values than you might initially think. When working with Roman numerals, always convert completely to Arabic numbers before comparing—don't try to estimate based on the length or appearance of the Roman numeral string, as this can be misleading.
  5. Which of the following Roman numerals is written incorrectly according to standard formation rules?
    Answer: VC Roman numeral questions test your understanding of proper formation rules, particularly the subtraction principle and valid letter combinations. When you encounter these questions, focus on which letters can be subtracted from which, and in what positions. Let's examine why C (VC) violates standard formation rules. In Roman numerals, V (5) can never be used as a subtractive prefix because only I, X, and C can subtract from larger values. Additionally, when subtracting, you can only subtract from the next two higher values in the sequence. Since V comes before C in the value hierarchy (I=1, V=5, X=10, L=50, C=100), placing V before C creates an invalid combination. The correct way to write 95 would be XCV (100-10+5). Looking at the other options: A (XCIX) correctly represents 99 using valid subtractions (100-10+10-1). B (CDXLIV) properly shows 444 with CD (400), XL (40), and IV (4) - all following correct subtraction rules. D (CMIX) accurately represents 1009 using CM (900) plus IX (9), both valid formations. The key trap here is that VC might seem logical if you think "5 before 100 equals 95," but Roman numeral subtraction follows strict rules about which letters can subtract and from what values. Study tip: Remember the subtraction rule acronym "IXC" - only I, X, and C can be subtractive prefixes, and they can only subtract from their next two higher denominations (I from V and X; X from L and C; C from D and M).
  6. Convert the Arabic numeral 1944 to its Roman numeral representation.
    Answer: MCMXLIV Roman numeral conversion questions test your understanding of the additive and subtractive principles that govern this ancient numbering system. When converting larger numbers like 1944, you need to break them down systematically using the standard Roman numeral values. To convert 1944, start with the largest values and work down: 1944 = 1000 + 900 + 40 + 4. In Roman numerals, 1000 = M, 900 = CM (1000 - 100), 40 = XL (50 - 10), and 4 = IV (5 - 1). This gives you MCMXLIV. The key principle here is that when a smaller numeral appears before a larger one, you subtract it. CM represents 900 (not 1100), XL represents 40 (not 60), and IV represents 4 (not 6). Looking at the wrong answers: Choice A (MCMXXXXIV) incorrectly represents 40 as XXXX instead of using the proper subtractive form XL. Choice C (MDCCCCXLIV) represents 1000 as M but then adds DCCCC (500 + 400) to make 900, which is unnecessarily complex when CM is the standard form. Choice D (MCMXLVI) correctly converts most of the number but ends with XLVI (46) instead of XLIV (44). Remember that Roman numerals follow specific subtractive rules: only I, X, and C can be subtracted, and only from the next two higher values (I from V or X, X from L or C, C from D or M). When you see conversion questions, always use the most efficient subtractive forms rather than adding extra symbols.
  7. A patient care schedule shows appointments at IX, XI, XIV, and XVII hundred hours. If each appointment lasts exactly XC minutes, how many minutes of break time exist between the second and fourth appointments?
    Answer: 180 minutes of break time IX = 0900, XI = 1100, XIV = 1400, XVII = 1700. XC = 90 minutes. Second appointment starts at 1100 and lasts 90 minutes, ending at 1230. Fourth appointment starts at 1700. Between these times, the third appointment runs from 1400-1530 (90 minutes). Total time from end of 2nd to start of 4th = 1230 to 1700 = 4.5 hours = 270 minutes. Subtract the third appointment duration: 270 - 90 = 180 minutes of break time. Choice B doesn't account for the third appointment. Choice C only counts one break period. Choice D miscalculates the time intervals.
  8. A patient's chart shows vital signs recorded at XIV hundred hours and again IV hours later. If the second recording showed a temperature increase of ii degrees from the baseline of XCVII degrees, what was the temperature at the second recording?
    Answer: 99 degrees at 1800 hours XIV hundred hours = 1400 hours (2:00 PM). IV hours later = 1400 + 4 = 1800 hours. Baseline temperature XCVII = 97 degrees. Temperature increase of ii = 2 degrees. Final temperature = 97 + 2 = 99 degrees at 1800 hours. Choice A subtracts instead of adds the increase. Choice B shows no temperature change. Choice D adds 4 degrees instead of 2.
  9. A laboratory result shows a white blood cell count of VII thousand per microliter, which represents a decrease from the previous count of XII thousand per microliter. What percentage decrease does this represent?
    Answer: Approximately 42% decrease from baseline VII = 7 thousand, XII = 12 thousand. Decrease = 12 - 7 = 5 thousand. Percentage decrease = (5/12) × 100% = 41.67%, approximately 42%. Choice B calculates the current value as a percentage of original (7/12 = 58%). Choice C uses the wrong denominator (5/7). Choice D calculates the decrease incorrectly as (5/17) instead of (5/12).
  10. A prescription indicates that XV milliliters of medication should be divided equally among iii doses per day for vii days. What is the total volume of medication needed for the complete treatment?
    Answer: 105 milliliters total volume XV = 15 mL daily, iii = 3 doses per day, vii = 7 days. The 15 mL is the total daily amount (not per dose), so total needed = 15 mL/day × 7 days = 105 mL. Choice B calculates 5 mL per dose × 7 days, missing the 3 doses per day. Choice C calculates 15 ÷ 7 × 3. Choice D gives only the amount per individual dose (15 ÷ 3 = 5 mL).
  11. A surgical procedure is scheduled to take CXXV minutes. If the procedure must end by IV P.M., what is the latest time it can begin?
    Answer: 1:55 P.M. When you encounter time calculation problems on the HESI, you need to work with Roman numerals and perform backward time calculations. This question tests both skills simultaneously. First, convert the Roman numeral: CXXV = 100 + 20 + 5 = 125 minutes. To convert to hours and minutes, divide by 60: 125 ÷ 60 = 2 hours and 5 minutes (since 125 = 2 × 60 + 5). Since the procedure must end by 4:00 P.M. and takes 2 hours 5 minutes, work backward: 4:00 P.M. - 2 hours 5 minutes = 1:55 P.M. This makes A) 1:55 P.M. correct. Looking at the wrong answers: B) 2:05 P.M. would result in the procedure ending at 4:10 P.M. (2:05 + 2:05 = 4:10), which is 10 minutes too late. C) 2:35 P.M. would end at 4:40 P.M. (2:35 + 2:05 = 4:40), missing the deadline by 40 minutes. D) 2:55 P.M. would end at 5:00 P.M. (2:55 + 2:05 = 5:00), a full hour past the required end time. For HESI success, master common Roman numerals (I=1, V=5, X=10, L=50, C=100) and practice time arithmetic. When working backward from deadlines, always double-check by adding the duration to your calculated start time—it should equal the required end time. This verification step catches calculation errors and builds confidence in your answer.
  12. Arrange the following Roman numerals in order from least to greatest: I. CDLXIV, II. DCXLIV, III. CDXLVI, IV. DCLXIV
    Answer: III, I, II, IV When you encounter Roman numeral questions, you need to systematically convert each numeral to its Arabic equivalent, then arrange them in order. Remember that Roman numerals follow specific rules: larger values come before smaller ones (like CD = 400), except when subtraction is used (C before D means 500 - 100). Let's convert each numeral: I. CDLXIV = 400 + 50 + 10 + 4 = 464; II. DCXLIV = 500 + 100 + 40 + 4 = 644; III. CDXLVI = 400 + 40 + 6 = 446; IV. DCLXIV = 500 + 100 + 50 + 10 + 4 = 664. Now arranging from least to greatest: 446 (III), 464 (I), 644 (II), 664 (IV), which corresponds to option C: III, I, II, IV. Looking at the wrong answers: Option A (I, III, II, IV) incorrectly places 464 before 446, suggesting confusion about the values of CDLXIV versus CDXLVI. Option B (III, I, IV, II) correctly starts with the smallest two but then places 664 before 644, likely mixing up DCLXIV and DCXLIV. Option D (I, III, IV, II) makes multiple ordering errors, placing both 464 before 446 and 664 before 644. For HESI success with Roman numerals, always convert systematically: break down each numeral into its component parts (D=500, C=100, L=50, X=10, V=5, I=1), watch for subtraction cases (like CD, XL, IV), and double-check your arithmetic. Practice recognizing common combinations to increase your speed and accuracy.
  13. A medical center's budget allocated MMD dollars for equipment purchases. They spent DCCLX dollars in the first quarter and CDXC dollars in the second quarter. How much remains for the final two quarters combined?
    Answer: $1,250 remaining for final quarters When you encounter Roman numeral problems in healthcare settings, you're being tested on both numerical conversion skills and basic arithmetic operations that are essential for dosage calculations and budget management. First, convert the Roman numerals to standard numbers: MMD = 2000 + 500 = 2,500 dollars allocated; DCCLX = 500 + 200 + 50 + 10 = 760 dollars spent in Q1; CDXC = 400 + 90 = 490 dollars spent in Q2. Now calculate the remaining budget: Total spent in first two quarters = $760 + $490 = $1,250. Amount remaining = $2,500 - $1,250 = $1,250. Looking at the wrong answers: Choice A ($2,000) incorrectly subtracts only one quarter's spending, likely just the smaller Q2 amount ($2,500 - $490 = $2,010, rounded). Choice B ($1,500) appears to result from miscalculating the Roman numerals—perhaps reading DCCLX as 650 instead of 760 ($2,500 - $650 - $490 = $1,360, approximately). Choice C ($750) represents a significant calculation error, possibly confusing the remaining amount with one of the quarterly spending amounts. The correct answer is D: $1,250 remaining for the final two quarters. For HESI success, practice Roman numeral conversions until they're automatic—you'll see them in medication problems and historical medical contexts. Always double-check your arithmetic by working backwards: does $1,250 remaining + $1,250 spent = $2,500 allocated? Yes, confirming our answer.
  14. A hospital was founded in MDCCCXCI and a new surgical wing was opened in MCMLXXXVIII. How many years passed between the founding and the opening of the new wing?
    Answer: 97 When you encounter Roman numerals on the HESI exam, you need to systematically convert them to Arabic numbers before performing any calculations. Roman numerals follow specific rules: I=1, V=5, X=10, L=50, C=100, D=500, M=1000, with smaller numerals before larger ones indicating subtraction. Let's convert each date. MDCCCXCI breaks down as: M(1000) + D(500) + CCC(300) + XC(90) + I(1) = 1891. For MCMLXXXVIII: M(1000) + CM(900) + LXXX(80) + VIII(8) = 1988. Note that CM represents 1000-100=900, and XC represents 100-10=90. To find the years between founding and the new wing opening: 1988 - 1891 = 97 years. Looking at the wrong answers: (A) 87 likely results from misreading XC as 80 instead of 90, leading to an incorrect conversion of 1881 instead of 1891. (C) 103 suggests confusion with the Roman numeral conversion rules, possibly adding values that should be subtracted. (D) 107 indicates similar conversion errors, perhaps misinterpreting the CM or XC combinations. The correct answer is (B) 97. For HESI success, practice Roman numeral conversions by remembering the subtraction rule: when a smaller numeral appears before a larger one (like IV, IX, XL, XC, CD, CM), subtract the smaller from the larger. Always convert completely to Arabic numerals before doing arithmetic, and double-check your conversions by working through each component systematically.
  15. A dosage of XXIV mg is required. The available tablets are VI mg each. How many tablets are needed per dose?
    Answer: IV When you encounter dosage calculation problems with Roman numerals on the HESI, you're being tested on both your mathematical reasoning and your ability to interpret Roman numeral notation accurately. To solve this problem, you need to convert the Roman numerals to regular numbers, then perform the calculation. XXIV mg represents 24 mg (XX = 20, IV = 4, so 20 + 4 = 24). The available tablets are VI mg each, which equals 6 mg per tablet. Using the basic dosage formula: Number of tablets needed = Total dose required ÷ Dose per tablet. So: 24 mg6 mg per tablet=4 tablets\frac{24 \text{ mg}}{6 \text{ mg per tablet}} = 4 \text{ tablets} Converting back to Roman numerals, 4 = IV, which is answer choice B. Let's examine why the other options are incorrect. Choice A (III = 3 tablets) would only provide 18 mg total (3 × 6 = 18), falling short of the required 24 mg dose. Choice C (V = 5 tablets) would deliver 30 mg (5 × 6 = 30), exceeding the prescribed amount and potentially causing an overdose. Choice D (VI = 6 tablets) would provide 36 mg (6 × 6 = 36), representing a dangerous 50% overdose. For HESI dosage calculations, always double-check your Roman numeral conversions and verify your final answer by multiplying back: Does 4 tablets × 6 mg per tablet equal 24 mg? Yes. This confirmation step helps catch calculation errors that could lead to serious medication mistakes in clinical practice.
  16. Which of the following numbers, when multiplied by IV, equals CXLIV?
    Answer: XXXVI This question tests your ability to work with Roman numerals and solve algebraic equations using them. When you see "which number multiplied by IV equals CXLIV," you're solving: IV × ? = CXLIV, or ? = CXLIV ÷ IV. First, convert the Roman numerals to Arabic numbers to make the calculation easier. IV = 4, and CXLIV = 144 (C=100, XL=40, IV=4, so 100+40+4=144). Now solve: ? = 144 ÷ 4 = 36. Converting 36 back to Roman numerals: 36 = 30 + 6 = XXX + VI = XXXVI. Let's verify: IV × XXXVI = 4 × 36 = 144 = CXLIV ✓ Now examining the wrong answers: A) XXIV = 24, and 4 × 24 = 96, not 144. B) XXXIV = 34, and 4 × 34 = 136, which falls short of 144. D) XLVI = 46, and 4 × 46 = 184, which overshoots our target of 144. Only C) XXXVI = 36 gives us the correct product when multiplied by IV. For Roman numeral questions on the HESI, convert to Arabic numbers first to avoid calculation errors, then convert your final answer back. Remember the key values: I=1, V=5, X=10, L=50, C=100. When a smaller numeral precedes a larger one (like IV or XL), subtract; otherwise, add. This systematic approach prevents the common mistakes that create the wrong answer choices.
  17. A medication dosage chart shows that for every X pounds of body weight, a patient should receive ii milligrams of medication. If a patient weighs LXXXV pounds, what is the correct total dosage?
    Answer: 17 milligrams total dosage When you encounter medication dosage calculations with Roman numerals, you need to first convert the Roman numerals to Arabic numbers, then apply the dosage ratio. Let's decode the Roman numerals: X = 10 and ii = 2. So the dosage chart shows 2 milligrams per 10 pounds of body weight. The patient weighs LXXXV pounds, which breaks down as L (50) + XXX (30) + V (5) = 85 pounds. Now set up a proportion to find the total dosage: 2 mg10 lbs=x mg85 lbs\frac{2 \text{ mg}}{10 \text{ lbs}} = \frac{x \text{ mg}}{85 \text{ lbs}} Cross-multiplying: 2×85=10x2 \times 85 = 10x, so 170=10x170 = 10x, which gives us x=17x = 17 milligrams. Looking at the wrong answers: Choice A (8.5 mg) represents half the correct answer, likely from confusing 85 pounds as 42.5 or making an arithmetic error. Choice B (170 mg) is the result you'd get if you forgot to divide by 10 in the final step—this is the numerator before completing the proportion. Choice D (42.5 mg) suggests someone might have divided 85 by 2 instead of using the proper ratio calculation. Study tip: For HESI dosage calculations, always convert Roman numerals first, write out your proportion clearly, and double-check your arithmetic. Roman numeral questions often appear specifically to test whether you can accurately translate before calculating—practice recognizing common Roman numerals like L (50), X (10), V (5), and i (1) to build speed and confidence.
  18. A patient is prescribed VI pills per day for IX days. What is the total number of pills the patient will take? Express the answer as a Roman numeral.
    Answer: LIV Roman numeral calculations appear regularly on the HESI exam, testing your ability to work with this historical number system used in medical contexts like medication schedules and dosing protocols. To solve this problem, you need to multiply VI (6) pills per day by IX (9) days. First, convert the Roman numerals to Arabic numbers: VI = 5 + 1 = 6, and IX = 10 - 1 = 9. Then multiply: 6 × 9 = 54 pills total. Finally, convert 54 back to Roman numerals: 54 = 50 + 4 = L + IV = LIV. Looking at the wrong answers: A) XV equals 15, which would be the result if you mistakenly calculated VI + IX (6 + 9) instead of multiplying them. C) LVI equals 56, which you might get if you incorrectly wrote 54 as L + VI instead of L + IV—a common error when forgetting that IV represents 4, not VI. D) LX equals 60, which could result from miscounting the days or pills, perhaps thinking it was 10 days instead of 9. The correct answer is B) LIV, representing 54 total pills. Remember this key strategy for Roman numeral problems on the HESI: always convert to Arabic numbers first, perform your calculations, then convert back to Roman numerals. Also, watch for subtraction cases like IV (4) and IX (9) where a smaller numeral precedes a larger one. Practice recognizing common medical Roman numerals like dosing amounts (I-X) and larger numbers (L=50, C=100) since these appear frequently in healthcare settings.
  19. A medical code is listed as DCCIX. If this is the 9th code in a new series that started at DCC, how many codes are in the series so far?
    Answer: X When you encounter Roman numeral questions on the HESI, you're being tested on your ability to interpret and manipulate this numbering system that's commonly used in medical documentation and anatomical references. The key insight here is understanding what "9th code in a series" means. If DCCIX is the 9th code and the series started at DCC, you need to count from DCC as the first code. In Roman numerals, DCC = 700, so the series begins at 700. The sequence would be: DCC (700, 1st code), DCCI (701, 2nd code), DCCII (702, 3rd code), and so on, until DCCIX (709, 9th code). Since we have 9 codes total and need the Roman numeral for 9, that's IX. But wait - the question asks how many codes are in the series "so far," which is 10 codes (DCC through DCCIX), and 10 in Roman numerals is X. Choice A (IX) represents the number 9, which would be correct if the question asked for the position of DCCIX, but it's asking for the total count. Choice C (XI = 11) miscounts by adding an extra code. Choice D (C = 100) completely misinterprets the question, possibly confusing the Roman numeral system entirely. For HESI Roman numeral questions, always read carefully to distinguish between "position in sequence" versus "total count." Practice converting between Arabic and Roman numerals, especially numbers 1-20 and key values like 50 (L), 100 (C), 500 (D), and 1000 (M).
  20. A medical facility's inventory shows XLVII units of supplies used in week one, XXXIV units in week two, and LII units in week three. If the target monthly usage should not exceed CXX units, by how many units did they exceed or stay under the target?
    Answer: Exceeded target by 13 units XLVII = 47, XXXIV = 34, LII = 52, CXX = 120. Total usage = 47 + 34 + 52 = 133 units. Target = 120 units. Since 133 > 120, they exceeded by 133 - 120 = 13 units. Choice B reverses the direction (under vs. over). Choice C miscalculates the difference as 127 - 120. Choice D incorrectly assumes they met the target exactly.

Start this quiz