Skip to main content

Operations on Roman Numerals

Free interactive Roman numerals worksheet for addition, subtraction, finding the greatest and smallest numbers, and sorting Roman numerals.

Configure your worksheet...
The in-browser, interactive worksheet will appear here...
A detailed note on this worksheet...

Practise working with Roman numerals through a variety of interactive maths problems. This worksheet combines arithmetic, number comparison and ordering exercises to help you become more familiar with Roman numerals and their equivalent Arabic numbers.

What This Worksheet Covers

This interactive worksheet includes four distinct types of problems, allowing learners to practice Roman numerals from multiple perspectives.

1. Add Roman Numerals

Add two Roman numerals and express their sum in Roman numeral format. This exercise helps you practise addition while becoming familiar with the values and rules of Roman numeral notation.

2. Subtract Roman Numerals

Subtract one Roman numeral from another and express the difference in Roman numeral format. Practise subtraction and strengthen your understanding of how Roman numerals represent numerical values.

3. Find the Extremes

Given a list of Roman numerals, identify the greatest and smallest values. Enter both answers in Arabic number format. This exercise helps you compare Roman numerals and recognise their corresponding numerical values.

4. Sort the Roman Numerals

Arrange a given list of Roman numerals in the required numerical order and enter the answers in Arabic number format. This exercise develops your ability to interpret, compare and order Roman numerals.

Configurable Worksheet Options

This worksheet is fully configurable to suit different learning needs.

  • Select number ranges such as up to 50, 51 to 1000, or any custom range in between
  • Practice special year-based ranges from 1800 to 2035
  • Choose the number of problems per question type: 12, 24, or 36

These options allow learners to tailor difficulty and volume for focused or extended practice.

Roman Numerals Cheat Sheet

The Roman numeral symbols and their values are:

  • I
    1
  • V
    5
  • X
    10
  • L
    50
  • C
    100
  • D
    500
  • M
    1000
1

Addition & Repetition

When a symbol appears after a larger symbol, it is added to the larger symbol's value.

XV = 10 + 5 = 15

LIII = 50 + 3 = 53

If a symbol is repeated, the values are added together.

XXX = 10 + 10 + 10 = 30

CC = 100 + 100 = 200

2

Repetition Rules

The symbols I, X, C, and M can be repeated, but not more than three times in a row.

I, II, III, X, XX, XXX, C, CC, CCC, M, MM, MMM

IIII, CCCCC, MMMMM

The symbols V, L, and D are never repeated.

VV, LLL, DD

3

Subtraction

When a symbol appears before a larger symbol, it is subtracted from the larger symbol's value.

IV = 5 - 1 = 4

IX = 10 - 1 = 9

XL = 50 - 10 = 40

Then, why is 99 written as XCIX instead of IC? See next card.

IL ≠ 50 - 1 = 49

IC ≠ 100 - 1 = 99

IM ≠ 1000 - 1 = 999

4

Subtractive Combinations

The symbols I, X, and C can be used subtractively only in specific combinations:

This is why:

I can precede V and X.

49 = XLIX, not IL.

X can precede L and C.

99 = XCIX, not IC.

C can precede D and M.

999 = CMXCIX, not IM.

Download this cheat sheet!!

Skills Developed Through This Worksheet

  • Fluent conversion between Roman and Arabic numerals
  • Accurate comparison of Roman numeral values
  • Confidence performing Roman numeral arithmetic

Online, Interactive, and Self-Correcting

This is a browser-based, interactive worksheet. In these variety of Roman numeral problems, learners enter answers directly into input fields and receive instant feedback, enabling quick correction and reinforcement. No printing or downloading is required.

Practise arithmetic and number-ordering skills in an interactive environment, with problems designed to help you build accuracy and confidence when working with Roman numerals.