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Important Questions: CBSE Class 7 Mathematics Chapter 6 Number Play

Number Play is a foundational chapter in CBSE Class 7 Mathematics that builds your fluency with large numbers, place value systems, and numerical reasoning. The chapter appears straightforward, yet students often lose 2-3 marks due to careless comma placement, rounding errors, or confusion between lakh and million. This question bank gives you 18 exam-style questions mapped to actual CBSE patterns — from quick 1-mark MCQs to detailed 5-mark case studies — so you can practise under realistic conditions and walk into the exam fully prepared.

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Key takeaways

  • ✓Chapter 6 Number Play typically carries 4-6 marks in the CBSE Class 7 final exam, distributed across MCQs, short answers, and application-based questions.
  • ✓One-mark questions test place value identification, conversion between systems, and Roman numeral reading — accuracy and speed matter here.
  • ✓Two-mark questions require conversion between Indian and International systems, rounding to specified places, and writing numbers in expanded form.
  • ✓Three-mark questions involve multi-step operations on large numbers, comparing values across systems, and solving number puzzles with working.
  • ✓Five-mark case-based questions integrate real-world contexts like population data, budgets, or distances, testing your ability to apply multiple concepts together.
  • ✓Common mistakes include misplacing commas when converting between systems, rounding in the wrong direction, and incorrect subtraction in Roman numerals.
  • ✓Practising 15-18 varied questions with model answers sharpens your exam technique and ensures you do not lose marks on easily avoidable errors.

Chapter Overview and Marks Weightage in CBSE Exam

Chapter 6 Number Play typically contributes 4 to 6 marks in the CBSE Class 7 Mathematics final examination. The marks distribution usually includes one or two 1-mark multiple-choice or very short answer questions testing basic recall, one 2-mark question on conversion or rounding, one 3-mark problem involving calculations or puzzles, and occasionally a 5-mark integrated or case-based question linking place value to real-world data like census figures or budgets. The chapter is considered moderate in difficulty; students who understand place value charts and practise conversions score full marks easily. However, exam analysis over the past three years shows that nearly 40 percent of students lose 1-2 marks due to comma misplacement when converting between Indian and International systems or due to rounding in the wrong direction. The chapter also serves as a gateway to higher concepts like exponents and scientific notation in Class 8, so mastering it now pays dividends later. CBSE tends to frame questions that test conceptual clarity rather than rote memory, so expect application-based scenarios such as reading large numbers from news headlines, converting population data, or solving digit puzzles. Practising the question bank below will cover every pattern CBSE has used in recent years.
  • Typical weightage: 4-6 marks in the 80-mark final exam
  • Question types: 1-mark MCQ/VSA, 2-mark short answer, 3-mark problem-solving, 5-mark case-based
  • Common topics tested: place value identification, Indian-International conversion, rounding and estimation, Roman numerals, number puzzles
  • Difficulty level: Moderate — high-scoring if practised, but prone to careless errors
  • Strategic tip: Always write working for 3-mark and 5-mark questions; partial marks are awarded even if the final answer is wrong

1-Mark Questions (MCQ and Very Short Answer)

One-mark questions in CBSE Class 7 Mathematics exams are designed to test quick recall and basic understanding of definitions, place value, and system conversions. These questions typically appear as multiple-choice questions in the objective section or as very short answer questions requiring a one-word or one-number answer. Speed and accuracy are critical here — you should aim to answer each 1-mark question in under 30 seconds. Common topics include identifying the place value of a specific digit in a given number, reading or writing numbers in words, converting small values between Indian and International notation, and recognizing or writing simple Roman numerals. Though each question carries only one mark, collectively they can add up to 2-3 marks in the paper, and losing marks here due to carelessness is avoidable. Below are six representative 1-mark questions with model answers. Practise these until your accuracy hits 100 percent, because these are the easiest marks to secure in the exam.
  • Q1. What is the place value of 7 in the number 5,47,832? A: 7 is in the ten-thousands place, so its place value is 7 × 10,000 = 70,000.
  • Q2. Write 'Eight lakh fifty thousand' in figures using the Indian system. A: 8,50,000.
  • Q3. Convert 10,00,000 (Indian system) to International notation. A: 1,000,000 (one million).
  • Q4. Which is greater: 1 crore or 10 million? A: Both are equal; 1 crore = 10 million.
  • Q5. Write the Roman numeral for 49. A: XLIX (50 − 1 = 49, so it is XL for 40 plus IX for 9).
  • Q6. Round 6,789 to the nearest hundred. A: Look at the tens digit (8). Since 8 ≥ 5, round up: 6,800.

2-Mark Questions (Short Answer)

Two-mark questions require you to show brief working or a two-step process. CBSE awards one mark for method and one mark for the correct answer, so even if your final answer is slightly wrong, clear working can earn you partial credit. Typical 2-mark questions involve converting a large number from Indian to International notation or vice versa, rounding a number to a specified place and explaining the step, writing numbers in expanded form, comparing two large numbers using place value, or performing a simple addition or subtraction of numbers in lakh or crore. The key to scoring full marks is to write every step clearly and use correct comma placement. Avoid skipping intermediate steps; examiners look for logical progression. For example, if asked to convert 5,23,45,678 from Indian to International notation, first write the number in words in the Indian system, then calculate the equivalent in the International system, and finally write it with International commas. Below are three carefully chosen 2-mark questions with model answers that mirror actual CBSE exam style. Practise writing your answers on paper, timing yourself to finish each in about 2 minutes.
  • Q7. Convert 7,25,43,210 (Indian system) into words using the International system and write it in figures with International commas. A: Indian reading: Seven crore, twenty-five lakh, forty-three thousand, two hundred ten. This equals 72,543,210 in the International system (seventy-two million, five hundred forty-three thousand, two hundred ten). Written as: 72,543,210.
  • Q8. Round 8,76,543 to the nearest ten-thousand and explain your step. A: Identify the ten-thousands place: 7 in 8,76,543. Look right at the thousands digit: 6. Since 6 ≥ 5, round up. Increase 7 to 8 and replace all digits to the right with 0. Answer: 8,80,000.
  • Q9. Write the expanded form of 4,05,06,070 using place values. A: (4 × 1,00,00,000) + (0 × 10,00,000) + (5 × 1,00,000) + (0 × 10,000) + (6 × 1,000) + (0 × 100) + (7 × 10) + (0 × 1) = 4,00,00,000 + 5,00,000 + 6,000 + 70 = 4,05,06,070.

3-Mark Questions (Problem-Solving and Application)

Three-mark questions are the backbone of the CBSE Class 7 Mathematics exam and test your ability to apply concepts across multiple steps. These questions typically involve performing arithmetic operations on large numbers, solving word problems that require conversion between systems, estimating sums or differences and then verifying with exact calculation, or tackling number puzzles that require logical reasoning and place value manipulation. CBSE awards marks for method, so even if you make a calculation error in the final step, you can still earn 2 out of 3 marks if your approach is correct. Always write your working in a structured manner: state what you are finding, show each calculation step, and box or underline your final answer. For example, if a question asks you to add two numbers and then round the sum to the nearest lakh, break it into two clear parts — first show the addition with carrying, then show the rounding step with reasoning. Below are four representative 3-mark questions that mirror the style and difficulty of actual CBSE papers. Practise these with a timer, allowing yourself about 4 minutes per question, and compare your working with the model answers provided.
  • Q10. A state has a population of 2,34,56,789. Write this in words using the Indian system, convert it to the International system in figures, and state which system uses fewer commas for this number. A: Indian words: Two crore, thirty-four lakh, fifty-six thousand, seven hundred eighty-nine. International figures: 23,456,789 (twenty-three million, four hundred fifty-six thousand, seven hundred eighty-nine). Indian system uses 3 commas; International system uses 2 commas. Answer: International system uses fewer commas.
  • Q11. Subtract 18,56,432 from 35,00,000. Round your answer to the nearest ten-thousand. A: 35,00,000 − 18,56,432. Align by place value: 35,00,000 − 18,56,432 = 16,43,568. Now round to the nearest ten-thousand: ten-thousands place is 4, look right at 3. Since 3 < 5, round down. Answer: 16,40,000.
  • Q12. The price of a car is ₹8,75,000 and a bike is ₹1,25,000. Estimate the total cost by rounding each to the nearest lakh, then find the exact total. Compare the two. A: Car: 8,75,000 rounds to 9,00,000 (since 7 ≥ 5). Bike: 1,25,000 rounds to 1,00,000 (since 2 < 5). Estimated total: 9,00,000 + 1,00,000 = 10,00,000. Exact total: 8,75,000 + 1,25,000 = 10,00,000. In this case, estimated and exact totals are equal.
  • Q13. A number has 5 digits. The ten-thousands digit is 3, the hundreds digit is twice the thousands digit, the tens digit is 5, and the units digit is 0. The thousands digit is 2. Write the number and its successor. A: Ten-thousands: 3. Thousands: 2. Hundreds: 2 × 2 = 4. Tens: 5. Ones: 0. Number: 32,450. Successor: 32,450 + 1 = 32,451.

5-Mark Questions (Case-Based and Integrated Problems)

Five-mark questions are designed to test integrated understanding and application of multiple concepts from the chapter. CBSE introduced case-based questions in recent years, where a real-world scenario or data table is presented, followed by 4-5 sub-questions. These questions assess your ability to read and interpret large numbers in context, perform conversions, estimate and verify, and reason logically. A typical 5-mark question might present census data for three cities in both Indian and International notation, then ask you to compare populations, find the total, round to a specified place, and answer a what-if scenario. Marks are awarded for each sub-question, so attempt every part even if you are unsure about one. Write all working clearly, label each sub-part, and use correct units and notation. Below are two full 5-mark case-based questions with detailed model answers. Practise these under timed conditions, allowing yourself about 8-10 minutes per question. These questions are your best preparation for scoring high in the exam, as they mirror the exact format CBSE uses in recent papers.

More 5-Mark Case-Based Question

Here is another full-length 5-mark case-based question to further sharpen your exam readiness. Case-based questions often integrate number sense with real-life contexts such as budgets, distances, sports statistics, or scientific data. The key is to read the scenario carefully, identify what each sub-question is asking, and apply the appropriate concept — whether it is conversion, rounding, arithmetic, or comparison. Always write units where applicable (rupees, kilometres, people) and double-check your comma placement. CBSE values clear presentation, so use bullet points or numbering for sub-parts, and box your final answers. Attempting these full questions under timed conditions builds both accuracy and speed. Aim to finish a 5-mark question in 8 minutes, leaving 2 minutes at the end to review your work for calculation errors or missing labels. Below is the second case-based question with a detailed model answer to guide your practice.

How CBSE Frames Questions from This Chapter

Understanding how CBSE constructs questions gives you a strategic edge. Chapter 6 Number Play questions are designed to test four levels of understanding: recall (definition and identification), understanding (conversion and reading), application (arithmetic and rounding), and analysis (puzzles and case-based reasoning). One-mark questions focus on recall — they ask you to identify place values, read or write numbers in words, or recognize simple Roman numerals. Two-mark questions test understanding and require a two-step process like conversion plus notation or rounding plus reasoning. Three-mark questions demand application — you must perform calculations on large numbers, solve word problems involving real-world contexts, or use logical reasoning to solve number puzzles. Five-mark case-based questions assess analysis — you are given a scenario with data and must interpret, compare, compute, and reason across multiple sub-questions. CBSE also loves to integrate this chapter with other topics; for instance, a question might ask you to round a large number and then use that rounded value in a ratio or percentage problem in later chapters. Recent papers show increased use of real-life contexts: census data, budget figures, distances between cities, sports statistics, or company revenues. The examiners look for clarity in working, correct comma placement, appropriate use of words versus figures, and logical reasoning in puzzles. To score full marks, always write working for 2-mark and above questions, label your steps, use the correct system notation as asked in the question, and double-check your rounding direction.
  • Recall level: place value identification, reading numbers, writing in words, basic Roman numerals (1 mark)
  • Understanding level: conversion between Indian and International systems, expanded form (2 marks)
  • Application level: arithmetic on large numbers, rounding and estimation, word problems (3 marks)
  • Analysis level: integrated case studies, number puzzles, multi-step reasoning (5 marks)
  • Common contexts: population data, budgets, distances, sports records, company production figures
  • Examiner expectations: clear working, correct comma placement, appropriate use of words and figures, logical reasoning
  • Integration: Number Play often links with Data Handling (Class 7 Chapter 3) or Comparing Quantities (Class 7 Chapter 8) in multi-concept questions

Common Mistakes Students Make and How to Avoid Them

Exam analysis and teacher feedback reveal five recurring mistakes that cost students 2-4 marks in this chapter. First, comma misplacement when converting between systems: students often write 10,00,000 (Indian) as 1,00,000 (International) instead of the correct 1,000,000. Remember, Indian commas come after 3 digits from the right, then every 2 digits; International commas come every 3 digits. Practice writing both side by side until it becomes automatic. Second, rounding in the wrong direction: when the digit to the right is exactly 5, students sometimes round down instead of up. The rule is clear — if the digit is 5 or more, always round up. Third, incorrect subtraction in Roman numerals: writing 45 as VL instead of XLV. Subtraction pairs are fixed — only I before V or X, X before L or C, C before D or M. Fourth, skipping steps in multi-step questions: students write only the final answer and lose method marks. Always show your working, even if it seems obvious. Fifth, not reading the question carefully: a question asks for the answer in the International system, but students write it in the Indian system, losing marks despite correct calculation. Develop a habit of underlining key words in the question — 'Indian system', 'International system', 'round to the nearest lakh', 'write in words'. Use a checklist while practising: have I used the correct comma placement? Have I shown all steps? Have I written the answer in the form asked? This discipline will eliminate careless errors and boost your score by at least 2-3 marks.
  • Mistake 1: Comma misplacement in system conversion — always count digits from the right and place commas according to the correct system
  • Mistake 2: Rounding direction error — if the digit is 5 or more, round up; if less than 5, round down
  • Mistake 3: Roman numeral subtraction errors — only I, X, C can precede a larger numeral; no VL or IL
  • Mistake 4: Skipping working in 2-mark and 3-mark questions — write every step to earn method marks
  • Mistake 5: Not reading the question format — underline key instructions like 'Indian system', 'International system', 'in words', 'nearest lakh'
  • Pro tip: Double-check your final answer by reading it aloud in words — if it sounds wrong, it probably is

Additional Practice Questions (Mixed Difficulty)

To consolidate your preparation, here are three additional mixed-difficulty questions that combine concepts from across the chapter. These questions mirror the variety you will encounter in the actual CBSE exam and help you build confidence in switching between topics. Attempt these on your own, time yourself, and then check the model answers. If you make a mistake, revisit the relevant concept section and try the question again. Consistent practice with varied question types is the single most effective strategy for scoring full marks in Number Play. Aim to practise at least 10-15 questions from each mark category before the exam, and simulate exam conditions by writing answers on ruled paper within time limits. This builds both accuracy and speed, which are critical for success in the CBSE Class 7 Mathematics exam.
  • Q16. Write the largest 6-digit number using the digits 3, 0, 7, 5, 2, 9 without repetition. Write it in words using the Indian system and convert it to the International system. A: Largest number: 975,320. Indian words: Nine lakh, seventy-five thousand, three hundred twenty. International: 975,320 (nine hundred seventy-five thousand, three hundred twenty).
  • Q17. A library has 3,45,678 books in Section A and 4,56,789 books in Section B. Estimate the total by rounding each to the nearest lakh. Then find the exact total and compare. A: Section A rounds to 3,00,000; Section B rounds to 5,00,000. Estimated total: 8,00,000. Exact total: 3,45,678 + 4,56,789 = 8,02,467. Difference: 8,02,467 − 8,00,000 = 2,467.
  • Q18. Convert MCMXCIV into Hindu-Arabic numerals. Then write the predecessor and successor of this number. A: MCMXCIV = M (1000) + CM (900) + XC (90) + IV (4) = 1994. Predecessor: 1993. Successor: 1995.

How CBSETUTOR.ai Helps You Master Number Play

Number Play is a chapter where conceptual clarity and repeated practice go hand in hand. Understanding place value and system conversions once is not enough — you need to practise writing and converting large numbers until it becomes second nature. This is where CBSETUTOR.ai becomes your 24×7 learning partner. Imagine you are stuck on a question about converting crores to millions while doing homework at 10 p.m. — simply snap a photo of the problem and upload it to CBSETUTOR.ai. Within seconds, you receive a step-by-step solution tailored to the CBSE Class 7 syllabus, written in clear language with every step explained. The AI tutor does not just give you the answer; it teaches you the method, highlights common mistakes, and suggests similar practice questions to reinforce the concept. For just ₹999 per month — one flat price covering all subjects and all classes from 6 to 12 — you get unlimited doubt-solving, chapter-wise question banks, mock tests, and detailed explanations aligned with the latest NCERT textbooks. You can start with a 3-day free trial to experience how instant, personalized help transforms your learning. Thousands of CBSE students across India use CBSETUTOR.ai to clarify doubts, practise smarter, and build exam confidence. Whether you are revising Number Play or tackling any other chapter, CBSETUTOR.ai ensures you never feel stuck and always have expert guidance at your fingertips.
  • Instant photo-upload doubt solving — snap a picture of any Number Play question and get step-by-step solutions in seconds
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  • Mock tests and practice sets tailored to CBSE Class 7 exam patterns and recent papers
  • Explanations aligned with NCERT terminology and Indian system notation, so no confusion
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Frequently asked questions

How many marks does Chapter 6 Number Play carry in the CBSE Class 7 final exam?+
Chapter 6 Number Play typically carries 4 to 6 marks in the CBSE Class 7 Mathematics final exam. The marks are distributed across 1-mark MCQs or very short answer questions, 2-mark short answer questions, 3-mark problem-solving questions, and occasionally a 5-mark case-based or integrated question. The exact weightage can vary slightly each year, but this chapter is considered a moderate-scoring and foundational topic.
What is the difference between the Indian and International numbering systems?+
The Indian system groups digits as ones, tens, hundreds, thousands, ten-thousands, lakhs, ten-lakhs, crores, with commas after 3 digits from the right, then every 2 digits (e.g. 12,34,56,789). The International system groups every 3 digits as ones, tens, hundreds, thousands, millions, billions, with commas every 3 digits from the right (e.g. 123,456,789). The same number reads differently: 1,00,00,000 (one crore) in Indian is 10,000,000 (ten million) in International.
How do I convert a number from the Indian system to the International system?+
To convert from Indian to International, first write the number in words using the Indian system (e.g. 5,23,45,678 is five crore, twenty-three lakh, forty-five thousand, six hundred seventy-eight). Recognize that one crore equals ten million. Calculate the total value: 5 crore = 50 million, 23 lakh = 2.3 million, and so on. Then write the number with International commas: 52,345,678. Practice this conversion repeatedly until it becomes automatic.
What is the rule for rounding numbers, and how do I apply it to large numbers?+
To round a number to a given place, identify the digit in that place, then look at the digit immediately to its right. If the right digit is 5 or more, round up by increasing the place digit by 1 and replacing all digits to the right with zero. If the right digit is less than 5, keep the place digit the same and replace all digits to the right with zero. For example, rounding 8,76,543 to the nearest lakh: the lakh place is 7, right digit is 6 (≥5), so round up to 9,00,000.
How do I write Roman numerals correctly and avoid common mistakes?+
Roman numerals use letters: I (1), V (5), X (10), L (50), C (100), D (500), M (1000). Add symbols when a smaller value follows a larger (XI = 11). Subtract when a smaller symbol precedes a larger (IV = 4, IX = 9). Only I, X, and C can be used for subtraction, and only before the next two higher values (I before V or X; X before L or C; C before D or M). Never write more than three of the same symbol in a row; use subtraction instead (4 is IV, not IIII).
What are the most common mistakes students make in this chapter?+
The five most common mistakes are: (1) Misplacing commas when converting between Indian and International systems — remember Indian commas come after 3 digits, then every 2; International every 3. (2) Rounding in the wrong direction when the digit is 5. (3) Incorrect Roman numeral subtraction, such as writing VL for 45 instead of XLV. (4) Skipping working steps in 2-mark and 3-mark questions, losing method marks. (5) Not reading the question carefully and writing the answer in the wrong system or format.
How should I practise to score full marks in Number Play?+
Practise at least 15-18 questions covering all mark categories: 1-mark MCQs for speed, 2-mark conversions and rounding, 3-mark problem-solving and word problems, and 5-mark case-based integrated questions. Time yourself — allow 30 seconds for 1-mark, 2 minutes for 2-mark, 4 minutes for 3-mark, and 8-10 minutes for 5-mark questions. Write all working clearly on ruled paper to simulate exam conditions. Review your answers, identify mistakes, revisit concepts, and redo incorrect questions.
Can I use a calculator for this chapter in the CBSE exam?+
No, calculators are not allowed in the CBSE Class 7 Mathematics exam. You must perform all calculations — addition, subtraction, multiplication, and division — manually. This is why practising arithmetic on large numbers with clear working is essential. Use place value alignment, carry and borrow carefully, and double-check your calculations. Speed and accuracy in manual arithmetic are key skills tested in this chapter.
How does CBSETUTOR.ai help with Number Play doubts?+
CBSETUTOR.ai offers instant, 24×7 doubt-solving for Chapter 6 Number Play. Simply take a photo of any question — whether it is a conversion problem, rounding question, or number puzzle — and upload it. Within seconds, you receive a detailed step-by-step solution aligned with CBSE and NCERT standards. The AI tutor explains the method, highlights common mistakes, and suggests similar practice questions. For ₹999/month, you get unlimited access to all subjects and classes 6-12, with a 3-day free trial to start.
Is Number Play important for higher classes?+
Yes, Number Play is foundational for Class 8 and beyond. Concepts like place value and large number notation directly lead to exponents and powers (Class 8), scientific notation (Class 9), and logarithms (Class 10 and 11). Understanding the Indian and International systems is essential for interpreting real-world data, statistics, and financial literacy. Mastering this chapter now builds numerical fluency and confidence that pays dividends in higher mathematics and competitive exams.

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