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CBSE Class 7 Mathematics Chapter 6 Number Play Worksheet with Answers
Number Play is a foundational chapter in CBSE Class 7 Mathematics that builds fluency with large numbers, place value systems, and arithmetic operations essential for higher mathematics. This worksheet provides targeted practice on every topic in NCERT Chapter 6, from writing eight-digit numbers in Indian and International notation to solving tricky Roman numeral conversions and number puzzles. Completing this worksheet will help you master exam patterns, improve speed, and build confidence before your Class 7 term tests.
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Key takeaways
- ✓This worksheet covers the complete CBSE Class 7 Mathematics Chapter 6 Number Play syllabus with 30+ questions mapped to NCERT concepts.
- ✓Six sections test different skills: MCQs test conceptual clarity, fill-in-the-blanks check recall, and long-answer questions assess problem-solving ability.
- ✓Indian and International number systems are compared side-by-side with conversion examples up to 8-digit numbers (crores and millions).
- ✓Rounding, estimation, and operations on large numbers are tested with real-life contexts like population data and budget figures.
- ✓Roman numeral conversion, successor-predecessor concepts, and number puzzles sharpen logical reasoning and mental math skills.
- ✓Complete answer key with step-by-step explanations helps students self-correct and understand mistakes without external help.
- ✓Recommended completion time is 90 minutes under exam conditions; difficulty level suits average to above-average Class 7 CBSE students.
Quick Chapter Recap: Number Play (Class 7 Mathematics)
Chapter 6 Number Play introduces students to the world of large numbers and two distinct numbering systems used globally. The Indian system groups digits using ones, tens, hundreds, thousands, ten-thousands, lakhs, ten-lakhs, and crores. The International system uses ones, tens, hundreds, thousands, ten-thousands, hundred-thousands, millions, ten-millions, hundred-millions, and billions. Understanding place value is critical: each position a digit occupies multiplies its face value by a power of 10. For example, in the number 5,47,89,236 (Indian notation), the digit 5 in the crore place represents 5 × 1,00,00,000 = 5,00,00,000. Students also learn rounding and estimation techniques to simplify complex calculations, perform arithmetic operations on large numbers, convert between Roman and Hindu-Arabic numerals, and solve engaging number puzzles that develop logical thinking. This chapter lays the groundwork for handling data in statistics, financial literacy, and real-world problem solving throughout secondary school.
- Place value determines the actual value of a digit based on its position in a number.
- Indian system uses lakh (1,00,000) and crore (1,00,00,000); International system uses million (10,00,000) and billion (1,00,00,00,000).
- Rounding rule: if the digit to the right is 5 or more, round up; if less than 5, round down.
- Roman numerals use letters I, V, X, L, C, D, M with specific addition and subtraction rules.
- Operations on large numbers follow the same algorithms as small numbers, but require careful alignment of place values.
Worksheet Instructions and Preparation Tips
This worksheet is designed for completion in 90 minutes under timed conditions to simulate a real exam environment. Difficulty level is moderate to challenging, meaning most questions align with standard CBSE Class 7 exam patterns, while Section E and the case study push you toward Higher Order Thinking Skills. Before you begin, gather a pen, pencil, eraser, and rough paper for calculations. Read each question twice to avoid silly mistakes, especially in number writing and Roman numeral conversions. Show all working clearly in long-answer questions; partial marks are awarded even if the final answer is incorrect. For MCQs, try eliminating obviously wrong options first. In fill-in-the-blanks, pay attention to units and notation (Indian vs International). After completing the worksheet, use the detailed answer key at the end to self-assess. Mark each question right or wrong, then review explanations for every mistake. This active review process is how champions turn worksheets into learning tools. Keep track of time for each section to build speed for your actual exam.
- Suggested time: 90 minutes total. Section A: 12 min, Section B: 10 min, Section C: 8 min, Section D: 25 min, Section E: 25 min, Case study: 10 min.
- Difficulty: Moderate to Challenging. Suitable for students who have completed NCERT Chapter 6 once and want rigorous practice.
- Materials needed: Pen, pencil, eraser, rough paper, and a quiet study space without distractions.
- Scoring: Assign 1 mark per MCQ/fill-in-the-blank/match item, 2 marks per short-answer question, 3 marks per long-answer question, and 4 marks for the case study.
- Self-assessment: After finishing, compare your answers with the key, calculate your percentage, and identify weak topics for focused revision.
Section A: Multiple Choice Questions (1 mark each)
This section contains 8 multiple-choice questions testing conceptual understanding and quick recall of facts from CBSE Class 7 Mathematics Chapter 6 Number Play. Each question has four options; choose the single best answer. These MCQs cover place value identification, number system conversions, rounding rules, Roman numeral interpretation, and properties of large numbers. MCQs are designed to mirror the objective-type questions frequently appearing in CBSE term exams and school assessments. Avoid random guessing; instead, use logical elimination. If you are unsure, mark the question and return after completing other sections. Remember that negative marking is not applied in most CBSE worksheets, so attempt every question. Pay special attention to comma placement when reading numbers in Indian versus International notation, as many options differ only in comma positions. Practice these MCQs under time pressure to improve accuracy and speed for your actual Mathematics exam.
- Q1. In the number 6,45,78,932 (Indian system), the place value of the digit 7 is: (a) 70,000 (b) 7,000 (c) 7,00,000 (d) 70
- Q2. Which of the following is 5 crore in International notation? (a) 5,000,000 (b) 50,000,000 (c) 500,000,000 (d) 5,00,00,000
- Q3. The predecessor of 10,00,000 is: (a) 9,99,999 (b) 10,00,001 (c) 99,999 (d) 9,00,000
- Q4. Round 7,85,432 to the nearest thousand: (a) 7,85,000 (b) 7,86,000 (c) 7,80,000 (d) 8,00,000
- Q5. The Roman numeral for 94 is: (a) LXXXXIV (b) XCIV (c) XCIU (d) IVXC
- Q6. One billion in Indian notation is equal to: (a) 10 crore (b) 100 crore (c) 1000 crore (d) 1 lakh
- Q7. The sum of place values of 5 in the number 5,50,055 is: (a) 15 (b) 5,50,050 (c) 5,50,055 (d) 5,55,555
- Q8. Which of these is the largest number? (a) 99,99,999 (b) 1,00,00,000 (c) 9,999,999 (d) 10,000,000
Section B: Fill in the Blanks (1 mark each)
Section B comprises 6 fill-in-the-blank questions that test your ability to recall definitions, number names, place values, and conversion rules quickly and accurately. Write your answers in the spaces provided. Use correct spelling and notation; for example, write 'lakh' not 'lac', and place commas correctly in Indian or International format as specified. These questions draw directly from NCERT Class 7 Mathematics Chapter 6 and assess foundational knowledge. Blanks may ask for number names in words, Roman numeral equivalents, results of rounding operations, or place value calculations. Read each sentence carefully to understand whether the answer should be in Indian system, International system, numerals, or words. If a question specifies 'in words', do not write digits. Practice writing number names fluently; this skill is tested in most CBSE Class 7 term exams. Ensure you revise the definitions of successor, predecessor, and estimation before attempting this section. Each correct blank earns 1 mark, and partial credit is not given, so double-check spelling and format.
- Q9. The place value of 3 in the number 2,34,56,789 (Indian notation) is __________.
- Q10. 48,00,000 in International notation is written as __________ (in digits with correct commas).
- Q11. The number sixty-seven million is written in Indian system as __________.
- Q12. When 9,87,654 is rounded to the nearest hundred, the result is __________.
- Q13. The Roman numeral CDXLIV represents the number __________ in Hindu-Arabic numerals.
- Q14. The successor of 7,99,99,999 is __________.
Section C: Match the Following (1 mark each)
In this section, match each item in Column A with the correct corresponding item in Column B. There are 5 pairs to match, and each correct match earns 1 mark. This format tests your ability to connect related concepts, such as matching a number in Indian notation with its International equivalent, a Roman numeral with its Hindu-Arabic value, or a place value name with its numeric value. Write the matched pairs clearly, for example '1-D, 2-A, 3-E, 4-B, 5-C'. Use logic and elimination: if you are certain about two or three matches, the remaining ones become easier to identify. This section is common in CBSE Class 7 Mathematics worksheets and term exams, so practice similar exercises from NCERT exemplar and previous year question papers. Pay close attention to units and notation; a single misplaced comma can change the meaning entirely. Review place value definitions and number system conversions before attempting this section. Take your time; rushing leads to careless mismatches. Each mismatch costs you a mark, so accuracy is more important than speed here.
- Column A: 1. 5,00,00,000 (Indian) 2. MCMXC 3. One million 4. Predecessor of 1 crore 5. Rounded value of 6,54,321 to nearest lakh
- Column B: A. 10,00,000 (Indian) B. 99,99,999 C. 7,00,000 D. 50,000,000 (International) E. 1990
Section D: Short Answer Questions (2 marks each)
Section D contains 5 short-answer questions, each carrying 2 marks. These questions require you to show brief working and provide a concise final answer. Marks are split: typically 1 mark for method and 1 mark for the correct answer. Topics include writing numbers in expanded form, comparing large numbers, performing arithmetic operations, converting between number systems, and simple rounding problems. Write your steps clearly; even if your final answer is wrong, you can earn the method mark. Use proper mathematical notation and units where applicable. For example, if the question asks you to write a number in words, do not leave your answer in digits. If it asks for Indian notation, place commas correctly after every two digits from the right after the hundreds place. This section is core to CBSE Class 7 Mathematics exams, and mastering short-answer technique is essential for scoring well. Practice writing neat, step-by-step solutions and always read the question carefully to ensure you answer exactly what is asked. Avoid leaving questions blank; attempt every problem even if you are unsure, as partial credit is often awarded for logical working.
- Q15. Write the number name of 8,05,00,479 in the Indian system. (2 marks)
- Q16. Convert 125,000,000 (International) into Indian notation with correct commas. (2 marks)
- Q17. Find the difference between the largest 7-digit number and the smallest 6-digit number. Show your working. (2 marks)
- Q18. Round 12,34,567 to the nearest ten-thousand and write the answer in words (Indian system). (2 marks)
- Q19. A city's population is 45,67,890. If the population increases by 2,34,110, what is the new population? Write your answer in both Indian notation and words. (2 marks)
Section E: Long Answer and HOTS Questions (3 marks each)
Section E presents 3 long-answer or Higher Order Thinking Skills questions, each worth 3 marks. These problems test deeper understanding, multi-step reasoning, and application of concepts from CBSE Class 7 Mathematics Chapter 6 Number Play. Expect questions that combine several topics, such as performing operations on large numbers and then converting the result between number systems, solving number puzzles using place value logic, or applying rounding and estimation in real-life scenarios. Marks are typically distributed as 1 mark for method, 1 mark for intermediate steps, and 1 mark for the final answer. Clarity of presentation matters: use diagrams, tables, or step-by-step bullet points where helpful. HOTS questions require you to analyze, evaluate, or create rather than simply recall facts. For example, you might be asked to find all possible 4-digit numbers meeting certain conditions, or to explain why a particular rounding method is more suitable in a given context. These questions prepare you for advanced problem-solving in higher classes and competitive exams. Take your time, plan your approach before writing, and double-check your final answer. Partial credit is generous here if your logic is sound, even if a calculation error occurs midway.
- Q20. A state's budget for education is ₹4,56,78,90,000. Express this amount in International notation and write the number name in the International system. Also, round it to the nearest crore and justify whether rounding up or down was applied. (3 marks)
- Q21. Using the digits 3, 0, 9, 5, 7, 2, form the largest and smallest 6-digit numbers without repeating any digit. Find the difference between these two numbers and express the result in Roman numerals if it is less than 4000, otherwise write in words (Indian system). (3 marks)
- Q22. The population of three cities A, B, and C are 12,34,567, 98,76,543, and 45,67,890 respectively. Find the total population of all three cities combined. Round your answer to the nearest lakh and explain the rounding step you used. (3 marks)
Case Study Question (4 marks)
The case-study question presents a real-world scenario and asks you to apply concepts from Chapter 6 Number Play in context. This format has become popular in recent CBSE exams to assess analytical and application skills. Read the case carefully, extract relevant numerical data, and answer the sub-questions that follow. Marks are distributed across sub-parts, typically 1 + 1 + 2 or 1 + 1 + 1 + 1. Show all working, as method marks are awarded even if your final answer is incorrect. The case study may involve population statistics, financial budgets, distance and travel data, or sports scores, all requiring operations on large numbers, rounding, or number system conversions. This question type tests your ability to read data, interpret it correctly, and perform multi-step calculations under exam pressure. Practice similar case studies from CBSE sample papers and previous year questions. Pay attention to units (rupees, kilometers, people) and notation (Indian vs International). Write your final answers clearly and in the format requested in each sub-question. This is a high-value question, so allocate sufficient time and avoid rushing. Clear, logical presentation earns you maximum marks even if you make a small arithmetic error.
Answer Key with Explanations
Below is the complete answer key for all sections of this CBSE Class 7 Mathematics Chapter 6 Number Play worksheet. Each answer includes a brief explanation or working so that you understand the logic and can learn from any mistakes. Use this key only after you have attempted all questions yourself. Self-assessment is a powerful learning tool: mark each answer as correct or incorrect, then carefully read the explanations for wrong answers to identify gaps in understanding. If you scored below 60 percent, revisit the NCERT textbook chapter and your class notes before attempting the worksheet again. If you scored above 80 percent, congratulations — you are well-prepared for the exam; now focus on speed and accuracy by timing yourself. Remember, practice and review are the twin engines of success in CBSE Mathematics. For additional doubt-clearing and personalized practice, students can explore CBSETUTOR.ai, which offers 24×7 AI-powered tutoring, photo-upload problem solving, and unlimited practice worksheets across all CBSE classes (6-12) at a flat rate of ₹999 per month, with a 3-day free trial to experience adaptive learning firsthand.
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Frequently asked questions
What topics from CBSE Class 7 Mathematics Chapter 6 are covered in this worksheet?+
This worksheet covers all major topics: place value in Indian and International systems, reading and writing large numbers up to 8 digits, comparing and ordering numbers, rounding and estimation, arithmetic operations on large numbers, conversion between systems, Roman numerals, and number puzzles.
How much time should I take to complete this Number Play worksheet?+
The suggested time is 90 minutes under exam conditions. Allocate roughly 12 minutes for Section A (MCQs), 10 minutes for Section B (fill-in-the-blanks), 8 minutes for Section C (match-the-following), 25 minutes for Section D (short answers), 25 minutes for Section E (long answers and HOTS), and 10 minutes for the case study.
Is this worksheet aligned with the latest NCERT syllabus for Class 7 Mathematics?+
Yes, this worksheet is fully aligned with the latest NCERT syllabus and follows the terminology, notation, and question patterns prescribed by CBSE for Class 7 Mathematics Chapter 6 Number Play. All questions are mapped to NCERT learning outcomes.
How should I use the answer key provided at the end of this worksheet?+
Attempt all questions first without looking at the answers. After completion, check your responses against the answer key and read the explanations for every wrong answer. Mark each question, calculate your score, and identify weak topics for revision. Reattempt incorrect questions after a day to ensure understanding.
What is the difference between the Indian and International number systems?+
The Indian system uses ones, tens, hundreds, thousands, ten-thousands, lakhs, ten-lakhs, and crores, with commas after every 2 digits beyond hundreds. The International system uses ones, tens, hundreds, thousands, ten-thousands, hundred-thousands, millions, ten-millions, hundred-millions, billions, with commas every 3 digits. For example, 5 crore (Indian: 5,00,00,000) equals 50 million (International: 50,000,000).
How do I round a number to the nearest lakh or thousand?+
Identify the place you are rounding to (e.g., lakh place). Look at the digit immediately to the right. If that digit is 5 or more, increase the rounding place by 1 and replace all digits to the right with zeros (round up). If less than 5, keep the rounding place the same and replace all digits to the right with zeros (round down).
Why are Roman numerals still taught in CBSE Class 7 Mathematics?+
Roman numerals develop logical reasoning, pattern recognition, and historical awareness. They are still used in clock faces, book chapters, movie titles, and formal documents. Understanding Roman numerals also strengthens place-value concepts and prepares students for competitive exams that test diverse numeral systems.
Can I use a calculator while solving this worksheet?+
For authentic exam practice, avoid using a calculator. CBSE Class 7 Mathematics exams do not permit calculators, so practicing without one builds mental math skills, speed, and confidence. Perform all arithmetic operations on rough paper and show your working clearly for partial marks.
What is the best way to improve my speed and accuracy in Number Play questions?+
Practice daily with timed worksheets, memorize place value charts and Roman numeral rules, and learn quick mental math tricks for rounding and estimation. Review mistakes immediately, reattempt wrong questions, and gradually reduce the time you allow yourself. Consistent practice with self-assessment is the key to improvement.
How can CBSETUTOR.ai help me if I am struggling with Chapter 6 Number Play?+
CBSETUOR.ai offers 24×7 AI tutoring with instant doubt resolution via photo upload. It generates unlimited practice questions on Number Play, provides step-by-step CBSE-aligned solutions, and creates personalized revision plans based on your performance. At ₹999/month for all classes and subjects, with a 3-day free trial, it is an affordable, always-available tutor that adapts to your learning pace and style.
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