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Worksheet on Roman Numerals

Practice the worksheet on roman numerals or numbers. This sheet will encourage the students to practice about the symbols for roman numerals and their values.


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

1. Write the Roman Numerals for the following numbers:

(a) 6

(b) 17

(c) 28

(d) 24

(e) 18

(f) 22

(g) 29

(h) 30


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

(a) 3

(b) 11

(c) 7

(d) 26

(e) 8

(f) 35

(g) 9

(h) 39


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: 

(a) VII

(b) IX

(c) XI

(d) XIV

(e) XIX

(f) XXVII 

(g) XXIX

(h) XII


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

(a) V

(b) XVII

(c) IV

(d) XIX

(e) XV

(f) XXVIII 

(g) XXXIV

(h) XVIII


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: 

(a) V  

(b) XIII

(c) VIII

(d) XX 

(e) XXII 

(f) XXV 

(g) XI 

13

8

20

5

25

22

11


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

(a) CXIX 

(b) XL

(c) CLXXV

(d) XCVIII

(e) XXXVII

(f) LIV

37

175

98

54

119

40


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.

(a)

(b)

(c)

(d)

(e)

(f)

(g)

X

VII

XLII

XXXVII

XVIII

CXX

CLXII

IX

IV

LIII

XXXII

LXIV

CL

CXLII

XII

VIII

LXXI

XXXV

LX

XC

XCV

XIV

V

XLVII

XXXI

LXIII

CXXX

CLVII


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.

(a) III

(b) VIIII

(c) XIV

(d) XIIV

(e) XXL

(f) LXIX

(g) XXC

(h) CIIX

(i) CLXX

(j) CLIIIX


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) VII ÷ II = _________

(d) VII + XXIII = _________

(e) XXX – XXI = _________

(f) XXI - XX = _________



17. Mike forgot the rule while writing Roman Numerals. Help her by drawing a circle around the incorrect Roman Numeral and write the correct numbers beside: 

(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) XI;               (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:

Roman Numbers 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. I study in class:

(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


Worksheet on Roman Numerals

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:

L

50

C

500

D

100

M

1000


27. Multiple Choice Questions (MCQ's)

      Choose the correct option

(i) Which of the following is not correct?

(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.

Decoding the Roman Numeral


Larger Roman Numbers

29. Convert into Roman numbers.

(i) 415

(ii) 1110

(iii) 3200

(iv) 920

(v) 1240

(vi) 1940

(vii) 1220

(viii) 2400

(ix) 1390

(x) 2250

(xi) 1450

(xii) 2410

(xiii) 3450

(xiv) 2650

(xv) 1910

(xvi) 3610

(xvii) 1900

(xviii) 1650

(ix) 1607

(x) 2543


30. Convert into Hindu-Arabic numbers.

1. LXVI

2. MMCC

3. MCXII

4. MMD

5. XLVII

6. CCIV

7. MDCIX

8. DLVII

9 CCCXI

10. DCVII

11. MMMXX

13. MCDXC

14. CCCXIV

15. CMXLV

17. MCCXX

18. MMCXIV

19. CCCXIII

12 MMCX

16. MDCXVI

20. DXC


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


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.

(a) III

(b) XI

(c) VII

(d) XXVI

(e) VIII

(f) XXXV

(g) IX

(h) XXXIX


3. (i) XXXI

(ii) XIV

(iii) XXII

(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. 

(a) 7

(b) 9

(c) 11

(d) 14

(e) 19

(f) 28

(g) 29

(h) 12


5.

(a) 5

(b) 17

(c) 4

(d) 19

(e) 15

(f) 28

(g) 34

(h) 18


6. (i) 4

(ii) 9

(iii) 16

(iv) 17

(v) 20

(vi) 28

(vii) 19

(viii) 15

(ix) 34

(x) 37


7.

(a) V  

(b) XIII

(c) VIII

(d) XX 

(e) XXII 

(f) XXV 

(g) XI 

5

13

8

20

22

25

11


8.

(a) CXIX 

(b) XL

(c) CLXXV

(d) XCVIII

(e) XXXVII

(f) LIV

119

40

175

98

37

54


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

1 - I 

2 - II        

3 - III       

4 - IIV      

5 - V   

6 - VI       

7 - VII      

8 - VIII     

9 - IX     

10 - X      

11 - XI

12 - XII 

13 - XIII

14 - XIV

15 - XV

16 - XVI 

17 - XVII 

18 - XVIII 

19 - XIX 

20 - XX 

21 - XXI

22 - XXII

23 - XXIII

24 - XXIV

25 - XXV 


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.

Roman Numerals Table

23. A. (ii)

B. (i) 

C. (i)

D. (iii)

E. (ii)

F. (i)

G. (ii)


24. XXVI, XXVII, XXVIII


25. X and I.


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. 

(i) CDXV

(ii) MCX

(iii) MMMCC

(iv) CMXX

(v) MCCXL

(vi) MCMXL

(vii) MCCXX

(viii) MMCD

(ix) MCCCXC

(x) MMCCL

(xi) MCDL

(xii) MMCDX

(xiii) MMMCDL

(iv) MMDCL

(v) MCMX

(vi) MMMDCX

(vii) MCM

(viii) MDCL

(ix) MDCVII

(xx) MMDXLIII


30.

(i) 66

(ii) 2200

(iii) 1112

(iv) 2500

(v) 47

(vi) 204

(vii) 1609

(viii) 557

(ix) 311

(x) 607

(xi) 3020

(xii) 2110

(xiii) 1490

(xiv) 314

(xv) 945

(xvi) 1616

(xvii) 1220

(xviii) 2114

(xix) 313

(xx) 590

31. No; 1918

32. (ii) LLLL

(iv) MMMM

(v) CCCC

(vii) XIIII

(viii) VVVII


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