Worksheet on Roman Numerals

This Roman Numerals Worksheet provides students with a variety of exercises to practice reading, writing, comparing, and converting Roman numerals. Roman numerals use symbols such as I, V, X, L, C, D, and M to represent numbers. Students can practice converting Hindu-Arabic numbers into Roman numerals and Roman numerals into Hindu-Arabic numbers. The worksheet also includes questions on Roman numeral rules, ordering numbers, identifying incorrect numerals, comparing values, solving simple operations, and working with larger Roman numbers. These Roman numerals exercises are suitable for elementary and middle-school students and can be used for classroom practice, homework, revision, or assessment. An answer key is included so students, parents, and teachers can quickly check the solutions.

What Are Roman Numerals?

Roman numerals are a number system that uses letters to represent numbers. The seven basic Roman numeral symbols are I, V, X, L, C, D, and M, which represent 1, 5, 10, 50, 100, 500, and 1,000 respectively. Roman numerals are written by combining these symbols according to specific rules.

For example: III = 3, VIII = 8, IX = 9, and XIV = 14.

Roman numerals are still used today in clocks, book chapters, outlines, movie titles, and special events. Learning Roman numerals helps students understand number representation, addition and subtraction rules, and how different number systems work.

Roman Numeral Symbols:

Rules for Writing Roman Numerals:

Rule I:

When a symbol is repeated it means the value of each symbol is added. The sum is equal to the number formed.

For example: III = 1 + 1 + 1 = 3,

                     XX = 10 + 10 = 20

                   XXX = 10 + 10 + 10 = 30

Note: V, L, and D cannot be repeated 

Rule II:

When a symbol with a smaller value is written before a symbol having a greater value, it means the value of the first symbol is subtracted from the value of the second symbol.

For example: IV = 5 - 1 = 4

                      IX = 10 - 1 = 9

Rule III:

When a symbol with a smaller value is written after a symbol having a greater value, it means the value of the first symbol is added to the value of the second symbol.

For example: XI = 10 + 1 = 11

                      VI = 5 + 1 = 6

                   XIII = 10 + 1 + 1 + 1 = 13

Rule IV:

For expressing numbers greater than 10, the numbers are first split in terms of tens and ones.

For example:

12 = 10 + 2 = XII

18 = 10 + 5 + 3 = XVIII

29 = 10 + 10 + 9 = XXIX

35 = 10 + 10 + 10 + 5 = XXXV

Roman Numerals Worksheet:

Roman Numerals Practice Questions:

Before practicing, learn more about Roman Numerals and their rules.

Students can also practice Roman Numeration with additional conversion and comparison exercises.

1. Write the Roman Numerals for the following numbers:

2. Write the roman numerals for each of the following Hindu -Arabic numerals.

3. Write each of the following in a Roman numeral:

(i) 31

(ii) 14

(iii) 23

(iv) 11

(v) 25

(vi) 27

(vii) 37

(viii) 32

(ix) 19

(x) 30

(xi) 39

(xii) 12

(xiii) 17

(xiv) 15

(xv) 33

4. Write the number for the following: 

5. Write the Hindu-Arabic numerals for each of the following Roman numerals: 

6. Write the Hindu-Arabic numeral for each of the following:

(i) IV

(ii) IX

(iii) XVI

(iv) XVII

(v) XX

(vi) XXVIII

(vii) XIX

(viii) XV

(ix) XXXIV

(x) XXXVII

7. Match the Roman Numerals with the numbers: 

8. Match the given Roman numerals to the Hindu-Arabic numerals.

9. Arrange the given Roman numerals in ascending order. 

(a) VII, II, XIV, X

(b) VI, IX, III, VIII

10. Circle the greatest Roman Numerals in each row.

11. Tick the correct Roman Numerals for numbers: 

(a) 24

XIV       XXIV       XV

(b) 17 

VII       XII       XVII

(c) 14 

XIV       XVI       XV

(d) 29 

XIX       XX       XXIX

12. Which of the given Roman numerals are not possible? Circle your answer.

13. Use the symbols >   =   < in the correct places: 

(a) 27 ___ XX

(b) XV ___ IX

(c) 19 ___ XIX

(d) XV ___ 14

(e) V  ___ 12

(f) 29 ___ XXX

14. Fill in each box using <, = or>:

(i) XIX _____ 21 

(ii) XXXIX _____ 39

(iii) XI _____ 9

15. Which of the following are meaningless?

(i) XIII

(ii) XIX

(iii) XVV

(iv) XXV

(v) VX

16. Perform the operation mentioned and write the answers in Roman Numerals:

(a) XI × V = _________

(b) XXV ÷ V = _________ 

(c) VIII ÷ II = _________

(d) VII + XXIII = _________

(e) XXX – XXI = _________

(f) XXI - XX = _________

17. Mike forgot the rule while writing Roman Numerals. Help him by drawing a circle around the incorrect Roman Numeral and write the correct Roman numeral beside each incorrect representation: 

(a) 15 = VVV

(b) 24 = XXVI

(c) 8 = IIX

(d) 19 = XVIIII

(e) 25 = XXVX

(f) 17 = IIIXX

18. Write the roman numbers and their values from I to XXV:

19. Choose the right answer:

(i) The greatest numeral in the given set is:

(a) XXXV;          (b) XXIX;          (c) XLIV;          (d) LX

(ii) The smallest numeral in the given set is:

(a) C;          (b) V;          (c) L;          (d) X

(iii) The number of days in the month of October are:

(a) XXVIII;          (b) XXXI;          (c) XXXIV;          (d) X

(iv) Number of years in a century:

(a) X;          (b) L;          (c) C;          (d) CC

(v) Number of weeks in a year:

(a) LII;          (b) XXIV;          (c) XXXVI;          (d) L

20. Choose the right answer and fill in the blank.

(i) There are __________ number of days in January.

(a) XXVIII;          (b) XXXI;          (c) XXIX;          (d) XXX

(ii) Numeral CLV is __________ CXLV.

(a) Smaller than;          (b) Greater than;          (c) Equal to

(iii) Numeral XVIII is __________ to XVI.

(a) Smaller than;          (b) Greater than;          (c) Equal to

(iv) There are total of __________ letters in the word Mathematics.

(a) XI;                (b) XII;               (c) XX;               (d) XXX

21. Circle the correct Roman numeral:

(i) 7       -    VIII            VII            VI

(ii) 13    -     XII           XIII           XIV

(iii) 21   -     XX            XXI           XIX

(iv) 20   -     XX           XVV           XIX

22. Complete the table:

23. Choose the right answer.

A. In a garden there are 11 non-flowering plants and 13 flowering plants. The total number of plants in the garden are:

(i) XIV                    (ii) XXIV                    (iii) XX                    (iv) XXX

B. The smallest numeral among the following numerals is:

(i) VI                    (ii) VII                    (iii) XXVI                    (iv) XXX

C. The number of hours in a day are:

(i) XXIV                    (ii) XII                    (iii) XVI                   (iv) XXXIV

D. Which Roman numeral represents 4?

(i) XI                    (ii) VI                    (iii) IV                   (iv) VII

E. What should be subtracted from XXXIX to get IX?

(i) X                    (ii) XXx                    (iii) XXI                    (iv) IX

F. The greatest numeral among the following numerals is: 

(i) XXXII               (ii) XXX                   (iii) XXIX                  (iv) IX

G. Smallest even number is:

(i) I                      (ii) II                      (iii) III                      (iv) IV

24. Complete the series:

XXIV, XXV, _____, _____, _____.

25. Which two letters from the English word ELEVEN can be used in the Roman numerals?

26. Match the following:

27. Multiple Choice Questions (MCQ's)

      Choose the correct option

(i) Which of the following statements about Roman numerals is incorrect?

(a) 10 ≠ VV;     (b) 51 = IL;     (c) 5 ≠ VX;     (d) All of the above

(ii) XLVII stands for

(a) 44;     (b) 68;     (c) 72;     (d) 47

(iii) Hindu-Arabic numeral for 27 is __________.

(a) XXV;     (b) XXVII;     (c) XVII

(iv) XXIX is equal to:

(a) 27;     (b) 28;     (c) 29

(v) Which of the following is the greatest?

(a) X;     (b) XIX;     (c) XVIII

(vi) Which is not the Roman symbol?

(a) P;     (b) L;     (c) X

(vii) XII - IX = _____.

(a) II;     (b) IV;    (c) III

28. Read the message by decoding the Roman numeral. 

Rule: First change the numerals into Hindu-Arabic numbers, then find the alphabet letter that matches each numeral.

Play Roman Numerals Drag and Drop Game:

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Larger Roman Numbers

29. Convert into Roman numbers.

30. Convert into Hindu-Arabic numbers.

31. Nairitee was asked to convert the roman numerals MCMXVIII into Hindu-Arabic number. She converted MCMXVIII as 1000 + 100 + 1000 + 10 + 5 + 1 + 1 + 1 = 2118. Is her answer correct? If not, what should be the correct answer?

32. Some of the following numbers are represented wrongly. Identify them.

1. CX

2. LLLL

3. MCM

4. MMMM

5. CCCC

6. CCXCXI

7. XIIII

8. VVVII

Roman Number Calculator:

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Answers for the worksheet on roman numerals are given below to check the exact answers of the above questions.

Answers:

1. (a) VI

(b) XVII

(c) XXVIII

(d) XXIV

(e) XVIII

(f) XXII 

(g) XXIX 

(h) XXX 

2.

3. (i) XXXI

(ii) XIV

(iii) XXIII

(iv) XI

(v) XXV

(vi) XXVII

(vii) XXXVII

(viii) XXXII

(ix) XIX

(x) XXX

(xi) XXXIX

(xii) XII

(xiii) XVII

(xiv) XV

(xv) XXXIII

4. 

5.

6. (i) 4

(ii) 9

(iii) 16

(iv) 17

(v) 20

(vi) 28

(vii) 19

(viii) 15

(ix) 34

(x) 37

7.

8.

9. (a) II, VII, X, XIV

(b) III, VI, VIII, IX

10. (a) XIV

(b) VIII

(C) LXXI

(d) XXXVII

(e) LXIV

(f) CL

(g) CLXII

11. (a) XXIV 

(b) XVII 

(c) XIV 

(d) XXIX

12. (b) VIIII

(d) XIIV

(e) XXL

(g) XXC

(h) CIIX

13. (a) >

(b) >

(c) =

(d) <

(e) =

(f) <

14. (i) <

(ii) =

(iii) >

15. (iii) XVV

(v) VX

16. (a) LV 

(b) V

(c) IV

(d) XXX

(e) IX

(f) I

17. (a) XV

(b) XXIV

(c) VIII

(d) XIX

(e) XXV

(f) XVII

18. Roman Numbers and their Values

19. (i) → (d)

(ii) → (b)

(iii) → (b) 

(iv) → (c)

(v) → (a)

20. (i) → (b)

(ii) → (b)

(iii) → (b)

(iv) → (a) 

21. (i) VIII 

(ii) XIII 

(iii) XXI

(iv) XX 

22.

23. A. (ii)

B. (i) 

C. (i)

D. (iii)

E. (ii)

F. (i)

G. (ii)

24. XXVI, XXVII, XXVIII

25. X and I, because 11 = XI.

26.  L - 50

       C - 100

       D - 500

       M - 1000

27. (i) → (d) All of the above

(ii) → (d) 47

(iii) → (b) XXVII

(iv) → (c) 29

(v) → (b) XIX

(vi) → (a) P

(vii) → (c) III

28. MATHS IS FUN

29. 

30.

31. No; 1918

32. (ii) LLLL

(iv) MMMM

(v) CCCC

(vii) XIIII

(viii) VVVII

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