Class 5 Maths Chapter 1 Problem Set 1 Roman Numerals Solutions | SB TEST PRO HUB

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Class: Class 5 (Primary Standard)

Subject: Mathematics

Chapter: Chapter 1 — Roman Numerals

Topic / Problem Set: Problem Set 1

Date:

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✍ My Personal Study Notes: The Rules

Hi everyone! Before we jump into the textbook solutions, let's look at the basic rules I copied down in class today. This makes converting Roman Numerals super easy!

• The Base Symbols: I = 1, V = 5, X = 10.
• Rule 1 (Limits): We can only repeat I and X up to 3 times consecutively. The letter V can NEVER repeat!
• Rule 2 (Adding): When a smaller symbol goes to the Right of a larger one, we add them together (e.g., VI = 5 + 1 = 6).
• Rule 3 (Subtracting): When a smaller symbol goes to the Left of a larger one, we subtract it (e.g., IV = 5 - 1 = 4). Remember: You can only place a single I to the left!
• Rule 4 (Double Digits): For numbers 11 to 20, write the tens first (X), then attach the correct unit symbols on the right.

✏️ Solved Problem Set 1 Questions

Q1. Write all the numbers from 1 to 20 using Roman numerals.

✍ Explanation: Let's list these step-by-step using our additive and subtractive rules.

1: I | 2: II | 3: III | 4: IV | 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

✓ Important Point: Note that 4 is written as IV (5 - 1) and 9 is written as IX (10 - 1). Avoid writing IIII or VIIII! ✓ Key Concept: Rule of maximum 3-repetition of 'I' limits its consecutively repeated usage.

Q2. Write the following numbers using international numerals: V, VII, X, XIII, XIV, XVI, XVIII, IX.

✍ Explanation: We decode each given alphabetical character into standard numbers.

• V = 5
• VII = 5 + 2 = 7
• X = 10
• XIII = 10 + 3 = 13
• XIV = 10 + (5 - 1) = 14
• XVI = 10 + 5 + 1 = 16
• XVIII = 10 + 5 + 3 = 18
• IX = 10 - 1 = 9

✓ Easy understanding: Focus on breaking down the tens block first, then simplify the units block!

Q3. Fill in the empty boxes of the matching table below.

✍ Explanation: Let's match the number names with their corresponding Roman symbols.

Number Name	Roman Numeral
Three	III
Eight	VIII
Six	VI
Twelve	XII
Fifteen	XV
Nineteen	XIX

✓ Key Concept: Nineteen is written as X (10) + IX (9) = XIX.

Q4. Write the numbers using Roman numerals: 9, 2, 17, 4, 11, 18.

✍ Explanation: Convert each international value back to our code.

• 9 = IX
• 2 = II
• 17 = 10 + 7 = XVII
• 4 = IV
• 11 = 10 + 1 = XI
• 18 = 10 + 8 = XVIII

✓ Important Point: Always keep check on whether you need addition or subtraction to form units.

Q5. Check if the following Roman numeral representations are correct. If incorrect, write the correct form.

Answer

Something more : L, C, D and M are also used as Roman numerals.

📌 Important Points

• The system uses letters: I, V, X, L, C, D, M.
• We learned L = 50, C = 100, D = 500, M = 1000. These are useful for larger numbers!
• The system does not have a character for zero (0).

💡 Exam Tips

Orange Tip: When you see a Roman numeral, trace it from left to right. If a smaller letter is followed by a bigger one, subtract! Otherwise, keep adding!

⚠️ Common Mistakes

Watch Out: Do not write IIX for 8. It's a common trap in tests. 8 is always written as VIII.

🔄 Quick Revision

Symbol	Value
I	1
V	5
X	10
L	50

📝 Practice Questions

1. Translate the following numbers into Roman numerals:

• a) 15
• b) 13
• c) 19

2. Translate the following Roman numerals to international digits:

• a) XII
• b) IX
• c) XVII

✏️ Self-Test Section (MCQs)

Q1. Which of the following represents 14 correctly?

a) XIIII
b) XIV
c) VVI
d) XV

Correct Answer: b) XIV

Q2. What is the value of XX?

a) 10
b) 15
c) 20
d) 12

Correct Answer: c) 20

💡 Summary

Roman numerals were used historically and are still useful today. To master them for your Class 5 exams, practice rules of subtraction (IV, IX) and remember the repetition limit of 3. Keep practicing!

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