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CBSE Class 6 Mathematics Chapter 3 Number Play Worksheet with Answers

Welcome to the CBSE Class 6 Mathematics Chapter 3 Number Play worksheet with complete answers. This chapter introduces you to reading, writing, and working with large numbers using both the Indian system (lakhs, crores) and the International system (millions, billions). You will also learn rounding, estimation, operations on big numbers, Roman numerals, and clever number tricks. This worksheet is designed for a 60-minute practice session and includes a variety of question types to help you master every concept before your exam.

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Key takeaways

  • ✓Covers all core topics: place value, Indian and International numbering systems, rounding, Roman numerals, and large-number operations.
  • ✓Includes 6 MCQs, 5 fill-in-the-blanks, 5 true/false, 5 short-answer questions, 3 long-answer HOTS questions, and 1 case-study question.
  • ✓Full answer key with step-by-step explanations for every question ensures self-assessment and clarity.
  • ✓Difficulty level: Moderate. Suggested time: 60 minutes. Suitable for CBSE Class 6 students preparing for term exams.
  • ✓Printable PDF-friendly format — download, print, and solve offline without distractions.
  • ✓Aligned with NCERT Class 6 Mathematics Chapter 3 and CBSE assessment guidelines for 2025.
  • ✓Use CBSETUTOR.ai for instant doubt-solving by uploading photos of your work — just ₹999/month for 24×7 AI tutor support.

Quick Chapter Recap — Number Play Essentials

NCERT Class 6 Mathematics Chapter 3 Number Play focuses on understanding and operating with large numbers. The chapter teaches place value — the value of a digit based on its position — and introduces two numbering systems. The Indian system groups numbers using lakhs (1,00,000) and crores (1,00,00,000), placing commas after hundreds, then every two digits. The International system uses millions (10,00,000) and billions (1,00,00,00,000), with commas every three digits from the right. You also learn to round numbers to the nearest ten, hundred, thousand, or lakh for quick estimation, and to add, subtract, multiply, and divide large numbers carefully by aligning place values. Roman numerals use letters I, V, X, L, C, D, M to represent numbers, with rules for addition and subtraction. Finally, the chapter includes number puzzles and tricks — such as divisibility tests and pattern recognition — that sharpen logical thinking. Mastering this chapter builds the foundation for algebra, statistics, and real-world applications like reading population data, calculating costs, and understanding scientific notation.
  • Place value determines a digit's contribution: 5 in 5,47,389 is worth 5 lakhs.
  • Indian system: commas after hundreds, then every 2 digits (e.g., 12,34,567).
  • International system: commas every 3 digits from the right (e.g., 1,234,567).
  • Rounding rule: if the digit to the right is 5 or more, round up; otherwise, round down.
  • Roman numerals: IV = 4 (subtract 1 from 5); VI = 6 (add 1 to 5); MCMXCIV = 1994.
  • Operations on large numbers require careful column alignment and place-value awareness.

Worksheet Difficulty Level and Time Allocation

This worksheet is designed at a moderate difficulty level, suitable for average to above-average CBSE Class 6 students. It covers the full syllabus of NCERT Class 6 Mathematics Chapter 3 Number Play and mirrors the question pattern seen in school exams and CBSE sample papers. The suggested time to complete this worksheet is 60 minutes, which allows you to work at a steady pace, check your answers, and review mistakes. Section A (MCQs) should take about 10 minutes, Section B (fill-in-the-blanks) about 8 minutes, Section C (true/false) about 7 minutes, Section D (short-answer) about 15 minutes, Section E (long-answer and HOTS) about 15 minutes, and the case-study question about 5 minutes. Set a timer, work in a quiet space, and attempt every question before checking the answer key. This disciplined practice builds speed and accuracy for your term exams. If you finish early, revisit the HOTS questions and try alternate methods. If you struggle with any concept, note it down and revise that section from your NCERT textbook or seek help from your teacher or a tutor.
  • Difficulty: Moderate — aligns with CBSE Class 6 term exam standards.
  • Total suggested time: 60 minutes (1 hour).
  • Section-wise breakdown: MCQs 10 min, Blanks 8 min, True/False 7 min, Short-answer 15 min, Long-answer/HOTS 15 min, Case-study 5 min.
  • Attempt all questions before checking answers to simulate exam conditions.
  • Use a pencil and eraser; show all working for full marks in school exams.
  • Review incorrect answers carefully and revise those topics from NCERT Class 6 Mathematics notes.

Section A — Multiple Choice Questions (MCQs)

This section contains 6 multiple-choice questions. Each question has four options, and only one is correct. Read each question carefully, eliminate obviously wrong options, and select the best answer. Write the letter of your choice (A, B, C, or D) in your answer sheet. Each MCQ carries 1 mark, for a total of 6 marks. MCQs test your quick recall, conceptual clarity, and ability to spot common mistakes. They are a staple of CBSE Class 6 Mathematics exams and require careful attention to detail. If you are unsure, use elimination: cross out options you know are wrong, then choose from the remaining ones. After solving, check your answers against the answer key provided at the end of this worksheet.
  • Q1. The place value of 7 in the number 5,72,348 is: (A) 7 (B) 70 (C) 70,000 (D) 7,00,000
  • Q2. Which of the following is the correct way to write 'three million, four hundred fifty-six thousand' in numerals (International system)? (A) 3,456,000 (B) 34,56,000 (C) 3,45,6000 (D) 30,456,000
  • Q3. Round 6,78,543 to the nearest thousand. (A) 6,78,000 (B) 6,79,000 (C) 6,80,000 (D) 7,00,000
  • Q4. The Roman numeral for 49 is: (A) IL (B) XLIX (C) XXXXIX (D) VIV
  • Q5. One crore is equal to how many millions? (A) 1 (B) 10 (C) 100 (D) 1000
  • Q6. The successor of 9,99,999 is: (A) 10,00,000 (B) 9,99,998 (C) 1,00,00,000 (D) 10,00,001

Section B — Fill in the Blanks

This section has 5 fill-in-the-blank questions. Write the correct word, number, or phrase in each blank to complete the sentence. Be precise: spelling and formatting matter. Each blank carries 1 mark, for a total of 5 marks. These questions test your memory of definitions, number names, place values, and conversion rules. Read the sentence completely before filling the blank, and ensure your answer makes grammatical and mathematical sense. After completing all five, cross-check with the answer key. If you made a mistake, write the correct answer in your notebook and understand why your initial answer was wrong.
  • Q7. In the Indian numbering system, the place value immediately after 'lakh' is ________.
  • Q8. The International numeral for 'fifty-two lakh' is ________.
  • Q9. The Roman numeral C stands for ________.
  • Q10. If a number is rounded to the nearest hundred and the result is 7,800, the original number could be anything from ________ to ________.
  • Q11. The predecessor of 1,00,000 is ________.

Section C — True or False

This section contains 5 statements. Write 'True' if the statement is correct, or 'False' if it is incorrect. Each question carries 1 mark, for a total of 5 marks. True/False questions test your understanding of definitions, rules, and common misconceptions. Read each statement carefully — sometimes a single word changes the meaning. After marking all five, check the answer key and review any statement you got wrong. Understanding why a statement is false helps you avoid mistakes in exams. For example, if a statement says 'one million equals one lakh,' you should know that is false because one million equals ten lakh, not one lakh.
  • Q12. In the Indian system, we write 1 crore as 1,00,00,000. (True / False)
  • Q13. The Roman numeral for 90 is XC. (True / False)
  • Q14. When rounding 4,567 to the nearest hundred, the answer is 4,600. (True / False)
  • Q15. The place value of 0 in any number is always zero. (True / False)
  • Q16. In the International system, commas are placed after every two digits from the right. (True / False)

Section D — Short Answer Questions (3 marks each)

This section has 5 short-answer questions. Each question requires a brief written answer, a calculation, or a short explanation. Write your answer in 2–4 sentences or show the working steps clearly. Each question carries 3 marks, for a total of 15 marks. Short-answer questions test your ability to apply concepts, perform calculations accurately, and explain your reasoning. Marks are awarded for method as well as the final answer, so always show your steps even if you know the answer. If you make a mistake in calculation, you may still earn partial marks for correct method. After completing all five, compare your answers with the answer key and check that your method matches the recommended solution.
  • Q17. Write the number name (in Indian system) for 7,25,43,821.
  • Q18. Convert the number 4,56,789 (Indian system) into International system notation.
  • Q19. Round 9,87,654 to the nearest ten-thousand and explain your steps.
  • Q20. Write the Roman numeral for 2024 and show how you build it using the standard Roman letters.
  • Q21. Find the sum of the place values of all the digits in the number 6,03,205.

Section E — Long Answer and HOTS Questions (5 marks each)

This section contains 3 long-answer or Higher Order Thinking Skills (HOTS) questions. Each question requires detailed working, logical reasoning, or problem-solving across multiple steps. Write your answer clearly, showing all calculations and explanations. Each question carries 5 marks, for a total of 15 marks. HOTS questions test your ability to apply concepts in new or complex situations, analyze number patterns, and justify your answers. These questions often have more than one step, so break the problem into smaller parts, solve each part, and then combine the results. Marks are given for clarity, logic, accuracy, and completeness. Even if your final answer is incorrect, you can earn partial marks for correct method and intermediate steps. After solving, review the answer key carefully and compare your method with the recommended solution.
  • Q22. A company has offices in 5 cities with the following employee counts: Delhi 1,25,340; Mumbai 2,34,567; Bangalore 1,87,654; Hyderabad 98,432; Chennai 1,23,456. (i) Find the total number of employees. (ii) Round the total to the nearest lakh. (iii) Write the total in International system notation.
  • Q23. Arrange the following numbers in ascending order and then write each in words (Indian system): 8,05,400; 85,040; 8,50,400; 80,504.
  • Q24. A farmer harvested 7,85,620 kg of wheat in one season. He wants to store it equally in 4 godowns. (i) How much wheat will each godown hold? (ii) If he rounds the total harvest to the nearest thousand, what is the rounded value? (iii) Express the rounded value in words (Indian system).

Section F — Case Study Question (4 marks)

This section contains one case-study question based on a real-life scenario. Read the passage carefully, understand the context, and answer the sub-questions that follow. The case study carries 4 marks in total. Case-study questions are a recent addition to CBSE exams and test your ability to extract information from a passage, apply mathematical concepts, and solve practical problems. These questions connect Number Play with everyday situations such as census data, budgets, sports statistics, or news reports. Read the case twice if needed, underline key numbers, and solve each sub-question step by step. After completing, check your answers against the answer key and see if you interpreted the data correctly.
  • Q25. Case Study: The 2021 Census (hypothetical data for this question) reported the population of four Indian states as follows: Uttar Pradesh 20,42,00,000; Maharashtra 12,50,00,000; Bihar 10,80,00,000; West Bengal 9,13,00,000. (i) Write the population of Maharashtra in words (Indian system). (ii) Convert the population of Bihar to International system notation. (iii) Which state has the smallest population, and by how much is it smaller than Uttar Pradesh? (iv) Round the population of Uttar Pradesh to the nearest crore.

Answer Key with Explanations

Below is the complete answer key for all sections of this worksheet. Each answer includes a brief explanation or working so you can understand the logic and method. Use this key to check your work, award yourself marks, and identify areas for improvement. If you scored less than 70 percent in any section, revise that topic from your NCERT Class 6 Mathematics textbook or notes. Practice similar questions until you feel confident. Remember, mistakes are learning opportunities — understanding why an answer is correct is more important than just memorizing it. If you need live help or want to upload a photo of your work for instant step-by-step solutions, try CBSETUTOR.ai — India's 24×7 AI tutor for Classes 6–12, available at just ₹999 per month with a 3-day free trial. Now let's go through the answers section by section.
  • Section A answers explain the correct option and why other options are incorrect.
  • Section B answers provide the exact word or number to fill each blank.
  • Section C answers state True or False with a one-line reason.
  • Section D answers show step-by-step working for short-answer questions.
  • Section E answers provide detailed solutions for long-answer and HOTS questions.
  • Section F answer breaks down the case-study question into sub-parts with full explanations.

Section A Answers (MCQs)

A1. (C) 70,000. The digit 7 in 5,72,348 is in the ten-thousands place, so its place value is 7 × 10,000 = 70,000. A2. (A) 3,456,000. Three million four hundred fifty-six thousand in numerals is 3,456,000 (International system uses commas every 3 digits). Option (B) is Indian notation. A3. (B) 6,79,000. To round 6,78,543 to nearest thousand, look at the hundreds digit (5). Since 5 ≥ 5, round up the thousands place from 8 to 9, giving 6,79,000. A4. (B) XLIX. 49 in Roman numerals is XL (40) + IX (9) = XLIX. Option (A) IL is not standard. A5. (B) 10. One crore (1,00,00,000) equals 10 million (10,000,000 in International system). A6. (A) 10,00,000. The successor of 9,99,999 is the next number, which is 10,00,000 (ten lakh). Each answer is now clear and linked to the concept tested.

Section B, C, D, E, F Answers

B7. ten-lakh. In Indian system, after lakh (1,00,000) comes ten-lakh (10,00,000). B8. 5,200,000. Fifty-two lakh = 52,00,000 (Indian) = 5,200,000 (International). B9. 100. Roman numeral C represents one hundred. B10. 7,750 to 7,849. When rounded to nearest hundred, any number from 7,750 up to 7,849 rounds to 7,800. B11. 99,999. The predecessor of 1,00,000 is 1,00,000 − 1 = 99,999. C12. True. 1 crore is written 1,00,00,000 in Indian system. C13. True. 90 in Roman numerals is XC (100 − 10). C14. False. 4,567 rounded to nearest hundred: look at tens digit (6). Since 6 ≥ 5, round up to 4,600. Wait, that makes it True! Correct answer: True. (The statement is actually correct.) C15. True. Zero has no value, so its place value is always 0. C16. False. International system places commas every three digits from the right, not two. D17. Seven crore, twenty-five lakh, forty-three thousand, eight hundred twenty-one. D18. 4,56,789 (Indian) = 456,789 (International). Write with commas every 3 digits: 456,789. In words: four hundred fifty-six thousand, seven hundred eighty-nine. D19. 9,87,654 rounded to nearest ten-thousand: ten-thousands digit is 8. Look right at thousands digit (7). Since 7 ≥ 5, round up: 8 becomes 9 (carry over), making it 9,90,000. Wait, let me recalculate: 9,87,654 — ten-thousands place is 8 (in 80,000). Look at thousands digit: 7. Round up 80,000 to 90,000, so answer is 9,90,000. D20. 2024 in Roman numerals: 2000 = MM; 20 = XX; 4 = IV. Combine: MMXXIV. D21. Place values in 6,03,205: 6 (lakhs) = 6,00,000; 0 (ten-thousands) = 0; 3 (thousands) = 3,000; 2 (hundreds) = 200; 0 (tens) = 0; 5 (ones) = 5. Sum = 6,00,000 + 3,000 + 200 + 5 = 6,03,205. E22. (i) Total = 1,25,340 + 2,34,567 + 1,87,654 + 98,432 + 1,23,456 = 7,69,449. (ii) Rounded to nearest lakh: look at ten-thousands (6). Since 6 ≥ 5, round up to 8,00,000. (iii) 7,69,449 in International: 769,449. E23. Ascending order: 80,504; 85,040; 8,05,400; 8,50,400. In words: (i) Eighty thousand five hundred four. (ii) Eighty-five thousand forty. (iii) Eight lakh five thousand four hundred. (iv) Eight lakh fifty thousand four hundred. E24. (i) 7,85,620 ÷ 4 = 1,96,405 kg per godown. (ii) Rounded to nearest thousand: look at hundreds (6). Since 6 ≥ 5, round up: 7,86,000. (iii) In words: Seven lakh eighty-six thousand. F25. (i) Twelve crore fifty lakh. (ii) 10,80,00,000 = 108,000,000 (International). (iii) West Bengal 9,13,00,000 is smallest. Difference from UP: 20,42,00,000 − 9,13,00,000 = 11,29,00,000. (iv) UP rounded to nearest crore: 20,42,00,000 → look at ten-lakhs (4). Since 4 < 5, round down to 20,00,00,000 (twenty crore).

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Stuck on a tricky question? Confused about place value or Roman numerals? CBSETUTOR.ai is your 24×7 AI tutor designed specifically for CBSE students in Classes 6 to 12. Simply take a photo of any Number Play problem from your textbook, worksheet, or exam paper, upload it to CBSETUTOR.ai, and get instant step-by-step solutions with explanations in seconds. No waiting for a teacher, no expensive coaching fees. The AI tutor understands NCERT terminology, follows CBSE marking schemes, and explains every step in simple language. Whether you need help with converting Indian to International notation, rounding large numbers, solving Roman numeral puzzles, or checking your long-division working, CBSETUTOR.ai has you covered. The platform costs just ₹999 per month — one flat price for all subjects and all classes from 6 to 12 — and includes a 3-day free trial so you can try it risk-free. Thousands of CBSE students across India are already using CBSETUTOR.ai to boost their confidence, improve their speed, and score higher marks in Mathematics. It is like having a personal tutor in your pocket, available anytime, anywhere. Visit CBSETUTOR.ai today, start your free trial, and experience the difference smart AI tutoring can make in your exam preparation.
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Frequently asked questions

What topics are covered in CBSE Class 6 Mathematics Chapter 3 Number Play?+
Chapter 3 covers place value, Indian and International numbering systems (lakhs, crores, millions, billions), reading and writing large numbers, rounding and estimation, operations (addition, subtraction, multiplication, division) on large numbers, Roman numerals (I, V, X, L, C, D, M), and number puzzles including divisibility tricks and pattern recognition.
How much time should I spend on this Number Play worksheet?+
This worksheet is designed for a 60-minute practice session. Allocate roughly 10 minutes for MCQs, 8 for fill-in-the-blanks, 7 for true/false, 15 for short-answer questions, 15 for long-answer and HOTS, and 5 for the case study. Time yourself to build exam speed and discipline.
What is the difference between the Indian and International numbering systems?+
The Indian system uses lakhs (1,00,000) and crores (1,00,00,000) with commas placed after hundreds, then every two digits. The International system uses millions (10,00,000 in Indian terms) and billions (1,00,00,00,000) with commas every three digits from the right. Both represent the same values, just written and read differently.
How do I round a number to the nearest thousand in CBSE Class 6?+
Identify the thousands place in the number. Look at the digit immediately to its right (the hundreds place). If that digit is 5 or more, round up by adding 1 to the thousands place and replacing all digits to the right with zeros. If it is less than 5, keep the thousands digit the same and replace all digits to the right with zeros.
What are Roman numerals and why do we learn them in Class 6?+
Roman numerals use letters (I = 1, V = 5, X = 10, L = 50, C = 100, D = 500, M = 1000) to represent numbers. They follow addition and subtraction rules: a smaller symbol before a larger one means subtract (e.g., IV = 4), and a smaller symbol after means add (e.g., VI = 6). Learning them develops logical thinking and helps read clocks, outlines, and historical dates.
How can I check my answers after completing this worksheet?+
Scroll down to the Answer Key section of this worksheet. Each question has a detailed answer with explanation or working steps. Compare your answers, check your method, and award yourself marks. If you made a mistake, read the explanation carefully to understand the correct approach.
What is a case-study question in CBSE Class 6 Mathematics?+
A case-study question presents a real-life scenario or data passage followed by multiple sub-questions. You must read the passage, extract relevant numbers, and apply chapter concepts to solve each part. Case studies test comprehension, data interpretation, and practical application of mathematics.
Where can I find more Number Play practice questions for CBSE Class 6?+
Refer to your NCERT Class 6 Mathematics textbook (Chapter 3 exercises), CBSE sample papers, and worksheets from your school. You can also use CBSETUTOR.ai to upload any problem and get instant solutions with explanations. The platform covers all NCERT chapters and provides unlimited practice support at ₹999 per month with a 3-day free trial.
How does CBSETUTOR.ai help with Number Play doubts?+
CBSETUTOR.ai is a 24×7 AI tutor for CBSE students. Take a photo of any Number Play question — whether from this worksheet, your textbook, or an exam paper — and upload it. The AI instantly provides step-by-step solutions, explanations, and tips. It understands NCERT terminology and follows CBSE marking schemes, making it perfect for self-study and exam prep.
Is this worksheet aligned with the latest CBSE syllabus for Class 6?+
Yes, this worksheet is fully aligned with the NCERT Class 6 Mathematics syllabus and CBSE assessment guidelines for 2024-25. All questions follow the chapter content, terminology, and question patterns seen in recent CBSE exams. It is ideal for term exam preparation, revision, and self-assessment.

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