CBSE Class 7 Mathematics Chapter 1 Large Numbers Around Us Worksheet with Answers
Large numbers appear everywhere — from India's population of over 140 crore to the distance between planets measured in millions of kilometres. CBSE Class 7 Mathematics Chapter 1 Large Numbers Around Us introduces students to the Indian and International systems of numeration, place value up to crores and billions, and estimation techniques essential for daily problem-solving. This worksheet is designed to give Class 7 students rigorous, NCERT-aligned practice across question types they will encounter in school exams and CBSE term assessments.
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Key takeaways
- ✓Complete worksheet with 30+ questions spanning MCQs, fill-in-the-blanks, match-the-following, short-answer, long-answer, and case-study formats.
- ✓Covers lakhs, crores, millions, billions, place value extension, and both Indian and International number systems as per NCERT Class 7 Mathematics Chapter 1.
- ✓Difficulty level: Moderate; suggested time: 60 minutes for focused, exam-like practice.
- ✓Full answer key with step-by-step explanations provided for every question to support independent learning.
- ✓Real-world estimation problems help students apply large number concepts to contexts like population, distance, and budgets.
- ✓Ideal for CBSE 2025 board pattern practice, term exam preparation, and regular homework assignments.
- ✓Access 24×7 photo-upload doubt solving and personalised AI tutoring at CBSETUTOR.ai for just ₹999/month with a 3-day free trial.
Quick Chapter Recap: Large Numbers Around Us
Chapter 1 of NCERT Class 7 Mathematics builds on the number sense developed in earlier classes and extends it to very large numbers used in real life. Students learn to read, write, compare, and order numbers in both the Indian system (ones, tens, hundreds, thousands, lakhs, crores) and the International system (ones, tens, hundreds, thousands, millions, billions). Place value becomes critical: in 2,35,67,890, the digit 3 is in the ten-lakhs place and has a value of 30,00,000. The chapter also emphasises estimation—rounding numbers to the nearest ten, hundred, thousand, or lakh to make mental arithmetic faster and more practical. Understanding these concepts lays the groundwork for algebra, data handling, and real-world financial literacy in higher classes.
- Indian system uses commas after hundreds, then every two digits: 1,00,00,000 (one crore)
- International system uses commas every three digits: 10,000,000 (ten million)
- One crore equals ten million; one lakh equals one hundred thousand
- Estimation helps simplify calculations: 4,87,320 ≈ 5,00,000 when rounded to the nearest lakh
- Real-world contexts include population census data, astronomical distances, and national budgets
Worksheet Details: Difficulty Level and Time Allocation
This worksheet is pitched at a moderate difficulty level, suitable for students who have completed a first reading of NCERT Class 7 Mathematics Chapter 1 and wish to consolidate their understanding before school tests or CBSE term exams. The entire worksheet contains over 30 questions distributed across five sections (A to E) plus one case-study question, mirroring the new CBSE competency-based assessment pattern introduced in 2024–25. Students should allocate approximately 60 minutes of uninterrupted time to attempt all questions under exam-like conditions. A calculator is not required; mental estimation and place-value reasoning are encouraged. Parents can print this page and use it as a timed mock test at home, then review the answer key together to identify gaps. Schools in Delhi NCR and Bangalore commonly set similar worksheets for weekend homework during the first term.
- Total questions: 30+ across MCQs, blanks, matching, short-answer, long-answer, and case-study
- Suggested time: 60 minutes (1 hour) for full completion
- Difficulty: Moderate — suitable after one chapter reading and class discussion
- No calculator needed; focus on place value, estimation, and system conversion
- Aligns with CBSE 2025 competency-based question pattern
Section A: Multiple Choice Questions (MCQs)
Multiple choice questions test quick recognition of concepts and the ability to eliminate incorrect options. Each MCQ in this section carries one mark. Students should read each question carefully, paying attention to whether the Indian or International system is specified, and choose the single best answer. These questions are designed to mirror the objective section of CBSE term exams and are excellent for building speed and accuracy. Parents will find that regular MCQ practice sharpens logical reasoning and reduces silly errors during board exams.
Section B: Fill in the Blanks
Fill-in-the-blank questions require precise terminology and numerical answers. Students must write the exact word or number that completes each statement. This section tests recall of definitions, system rules, and place-value vocabulary introduced in NCERT Class 7 Mathematics Chapter 1. It is important to spell number names correctly and use commas as per the specified system. Each blank carries one mark. These questions often appear in CBSE school exams and help reinforce the language of mathematics, which is critical for clear communication in higher classes and competitive exams.
Section C: Match the Following
Match-the-following questions assess the ability to connect related concepts, such as pairing a number in numerals with its word form or linking a place value to its digit. Students should draw lines or write the matching letter next to each item. This section encourages careful reading and attention to detail. It is a favourite in CBSE schools across cities like Mumbai, Pune, and Chennai because it quickly reveals whether students have memorised key facts or truly understood the relationships between Indian and International systems. Each correct match earns one mark. Partial marking is not given, so accuracy is essential.
Section D: Short Answer Questions (3 marks each)
Short-answer questions demand a written explanation, a small calculation, or a conversion between systems. Each question is worth three marks. Students should show their working clearly, use correct mathematical notation, and write number names in full where asked. These questions mirror the format used in CBSE Class 7 term exams and annual papers. They test deeper comprehension than MCQs or blanks, requiring students to apply place-value rules, perform multi-step estimation, and justify their reasoning. Teachers often award one mark for method, one for calculation, and one for the final answer, so partial credit is possible if steps are shown. Regular practice of such questions at home significantly boosts exam confidence and reduces marking penalties for incomplete work.
- Write all steps; partial marks are awarded for correct method even if the final answer is wrong.
- Use commas as per the system specified in the question (Indian or International).
- Number names must be spelled correctly and written in full where requested.
- Show estimation steps: write the rounded numbers before adding, subtracting, or comparing.
- Refer to place-value charts mentally or sketch one in the margin if needed.
Section E: Long Answer and HOTS Questions (5 marks each)
Long-answer and Higher Order Thinking Skills questions challenge students to synthesise multiple concepts, solve real-world problems, and explain their reasoning in detail. Each question carries five marks and may involve multi-step calculations, conversion between Indian and International systems, comparison of large data sets, or justification of estimation strategies. HOTS questions go beyond rote application; they ask 'why' and 'how' rather than just 'what'. CBSE introduced more HOTS items in 2024–25 to align with the National Education Policy emphasis on critical thinking. Students should write in complete sentences, label their answers with units where applicable, and organise their working under clear sub-headings. These questions are excellent preparation for Class 8 and beyond, where open-ended problem-solving becomes the norm.
- Allocate 8–10 minutes per question; plan your answer before you write.
- Show all conversions, intermediate steps, and reasoning clearly.
- Use real-world context vocabulary: 'population', 'budget', 'distance', 'census', etc.
- HOTS questions may ask you to compare two methods or explain why an estimation is reasonable.
- Full marks require correct answer, clear method, proper units, and logical explanation.
Case-Study Question (4 marks)
Case-study questions present a real-world scenario—often drawn from news reports, government data, or everyday situations—and ask students to extract information, perform calculations, and interpret results. Introduced widely in CBSE exams from 2021 onwards, these questions assess reading comprehension alongside mathematical skill. Students must read the passage carefully, underline key numbers, identify which system is being used, and then answer sub-questions that may be MCQ or short-answer format. This format mirrors the interdisciplinary approach encouraged by the National Education Policy 2020 and prepares students for data-interpretation tasks in higher mathematics and social sciences. Schools in Noida, Gurgaon, and Hyderabad often include at least one case-study in each term exam.
- Read the passage twice; highlight or underline all numbers and their units.
- Identify whether numbers are in Indian or International format before attempting conversions.
- Answer sub-questions in the order given; each sub-question may carry 1–2 marks.
- Use estimation where the question asks for approximate or rounded answers.
- Write units (kilometres, rupees, people) in your final answer to avoid losing marks.
Full Answer Key with Explanations
A comprehensive answer key is provided below for all sections. Each answer includes a brief explanation or working to help students understand the correct approach. Parents and teachers can use this key for quick marking and to discuss common errors. If a student makes repeated mistakes in place-value identification or system conversion, targeted revision of those NCERT Class 7 Mathematics notes is recommended. For personalised help, students can upload a photo of any tricky question to CBSETUTOR.ai and receive step-by-step solutions within seconds, along with practice recommendations—all for a flat ₹999/month across classes 6 to 12, with a 3-day free trial to start.
How to Use This Worksheet Effectively
To get maximum benefit, students should first complete the NCERT Chapter 1 reading and solve the in-text exercises. Then, set a timer for 60 minutes and attempt this worksheet without referring to notes or the textbook. Write neatly in the margins or on separate paper, showing all working. After time is up, stop and mark your answers using the key provided. For every incorrect answer, re-read the relevant NCERT section and attempt a similar question. Parents can simulate exam conditions at home by ensuring a quiet environment and no mobile distractions. Schools in Bangalore and Pune often print such worksheets and use them as part of continuous assessment, so treating this as a real test builds exam temperament. If your child struggles with any question type, consider signing up for CBSETUOR.ai, where an AI tutor is available 24×7 to explain concepts, solve doubts via photo upload, and generate unlimited practice questions—all at ₹999/month for any class from 6 to 12, with a 3-day free trial.
- Attempt the worksheet in one sitting under timed conditions (60 minutes).
- Write all steps and rough work neatly; examiners award method marks in CBSE papers.
- Use the answer key to self-correct, then revisit NCERT notes for mistakes.
- Discuss long-answer questions with a parent or peer to improve explanation skills.
- Repeat similar worksheets weekly to build speed and confidence before term exams.
Common Mistakes and How to Avoid Them
Students often confuse comma placement when switching between Indian and International systems—remember, Indian commas go after every two digits beyond hundreds, while International commas appear every three digits. Another frequent error is misidentifying place value: in 5,67,89,012, the 6 is in the ten-lakhs place (60,00,000), not the lakhs place. When estimating, always specify your rounding rule (nearest ten, hundred, thousand, lakh) and show the rounded numbers before performing operations; otherwise, you may lose method marks. In number-name writing, watch spellings: it is 'forty', not 'fourty', and 'ninety', not 'ninty'. Finally, read case-study passages twice and underline all numbers; skipping this step leads to silly extraction errors. Practising past CBSE Class 7 Mathematics question papers and NCERT exemplar problems will help you recognise and avoid these pitfalls.
- Comma confusion: Indian vs International—revise the rules before each test.
- Place-value errors: count from the right and use a place-value chart if unsure.
- Skipping estimation steps: always write the rounded numbers explicitly.
- Spelling mistakes in number names: practise writing out large numbers in words daily.
- Not reading case-studies carefully: underline numbers and units before answering.
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Frequently asked questions
What topics from NCERT Class 7 Mathematics Chapter 1 are covered in this worksheet?+
This worksheet covers lakhs, crores, millions, billions, place-value extension, the Indian and International number systems, and estimation in real-world contexts—all core topics from NCERT Chapter 1 Large Numbers Around Us.
How much time should my child take to complete this worksheet?+
The suggested time is 60 minutes under exam-like conditions. This allows adequate time to attempt all sections—MCQs, fill-in-the-blanks, matching, short answers, long answers, and the case-study question—with careful working.
Is an answer key provided with explanations?+
Yes. A full answer key with step-by-step explanations for every question is included in Section 8 above, so students and parents can self-correct and understand the reasoning behind each answer.
What is the difficulty level of this worksheet?+
Moderate. It is designed for students who have completed one reading of NCERT Class 7 Mathematics Chapter 1 and are ready for consolidation practice before school tests or CBSE term exams.
Can I print this worksheet for home practice?+
Absolutely. This page is designed to be printer-friendly. Simply print it out, give your child a quiet space and a timer, and let them attempt it as a mock test at home.
How are marks distributed across the sections?+
Section A MCQs are 1 mark each; Section B blanks 1 mark each; Section C matching 1 mark per correct pair; Section D short answers 3 marks each; Section E long answers 5 marks each; and the case-study question totals 4 marks across sub-parts.
Why does the worksheet include a case-study question?+
CBSE introduced case-study questions in 2021 to test reading comprehension and data interpretation alongside mathematical skill, aligning with the National Education Policy 2020 emphasis on interdisciplinary learning and real-world application.
My child struggles with place value in large numbers. How can I help?+
Encourage daily practice writing numbers in both Indian and International systems, using a place-value chart. Also, consider CBSETUTOR.ai's photo-upload tutor for instant, step-by-step explanations tailored to your child's mistakes—₹999/month, 3-day free trial.
What is the difference between the Indian and International number systems?+
The Indian system uses commas after hundreds, then every two digits (e.g., 1,00,00,000 for one crore), and names like lakh and crore. The International system uses commas every three digits (e.g., 10,000,000 for ten million) and names like million and billion.
Are estimation questions important for CBSE Class 7 exams?+
Yes. Estimation is a key skill tested in CBSE papers. It simplifies calculations, aids mental arithmetic, and appears in word problems involving budgets, population, and distances. This worksheet includes multiple estimation-based questions to build that skill.
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