NCERT Solutions for Class 6 – Complete Chapter-wise Study Material

1. Knowing Our Numbers is one of the most important chapters in the Class 6 Mathematics English NCERT Solutions curriculum. This chapter plays a significant role in helping students build a strong conceptual foundation while preparing for school examinations, class tests, unit tests, half-yearly examinations, annual examinations, and CBSE board assessments. The chapter has been carefully designed according to the latest NCERT syllabus, making it an essential part of every student's study plan.

The 1. Knowing Our Numbers - Class 6 Mathematics English NCERT Solutions available on ATP Education explain every question in a simple, accurate, and step-by-step manner. Each answer is prepared according to the latest CBSE guidelines so that students can understand the concepts clearly without confusion. Whether you are completing your homework, revising before examinations, or strengthening your understanding of the subject, these solutions provide reliable academic support throughout your learning journey.

One of the biggest advantages of studying 1. Knowing Our Numbers is that it helps students understand important concepts, definitions, examples, and textbook exercises in an organized way. Instead of memorizing answers, students learn how to develop logical thinking, improve analytical skills, and write well-structured answers in examinations. This chapter also helps improve problem-solving ability and encourages conceptual learning, which is essential for scoring higher marks in school and competitive examinations.

Our Class 6 Mathematics NCERT Solutions cover all textbook questions, important exercise questions, and chapter-wise explanations in English Medium. Every solution is written in easy-to-understand language, allowing students to revise the chapter quickly before examinations. Regular practice of these solutions improves confidence, strengthens subject knowledge, and reduces examination stress.

Students preparing for school assessments should carefully study 1. Knowing Our Numbers because questions from this chapter are frequently asked in objective questions, short answer questions, long answer questions, competency-based questions, and case-study questions. Understanding the concepts explained in this chapter also helps students connect related topics from other chapters, making overall learning more effective and meaningful.

At ATP Education, we continuously update our Class 6 Mathematics English NCERT Solutions according to the latest NCERT textbooks and CBSE curriculum. Students can confidently use these chapter-wise solutions for daily study, homework assistance, quick revision, examination preparation, and self-learning. By studying 1. Knowing Our Numbers thoroughly and practising every question regularly, students can strengthen their concepts, improve writing skills, and achieve better academic performance in both school and board examinations.

1. Knowing Our Numbers - Class 6 Mathematics English NCERT Solutions

1. Knowing Our Numbers

Exercise 1.1

Class 6 Mathematics English Updated : 06 March 2026

Exercise-1.1 ch-1 


1. Fill in the blanks:

(a) 1 lakh = 10____ ten thousand.
(b) 1 million =10____  hundred thousand.
(c) 1 crore = 10____ ten lakh.
(d) 1 crore = 10____  million.
(e) 1 million = 10____ lakh.
2. Place commas correctly and write the numerals:
(a) Seventy three lakh seventy five thousand three hundred seven. 73,75,307 
(b) Nine crore five lakh forty one. 9,05,00,041
(c) Seven crore fifty two lakh twenty one thousand three hundred two. 7,52,21,302
(d) Fifty eight million four hundred twenty three thousand two hundred two.6,84,23,202
(e) Twenty three lakh thirty thousand ten. 23,30,010
3. Insert commas suitably and write the names according to Indian System of
Numeration :
(a) 8,75,95,762 : eight crore, seventy five lakh, ninety five thousand, seven hundred                  sixty two  

(b) 85,46,283 : eighty five lakh, fourty`six thousand,

(c) 9,99,00,046 : nine crore ninety nine lakh fourty six.

(d) 9,84,32,701 : nine crore eigty four lakh thirty two seven hundred one.

4. Insert commas suitably and write the names according to International System
of Numeration :
(a) 78921092 : 78,921,092   

(b) 7452283 : 7,452,283

(c) 99985102 : 99,985,102

(d) 48049831 : 48,049,831

1. Knowing Our Numbers

Exercise 1.2

Class 6 Mathematics English Updated : 06 March 2026

Exercise-1.2 Chapter-1


1. A book exhibition was held for four days in a school. The number of tickets sold at the counter on the first, second, third and final day was respectively 1094, 1812, 2050 and 2751. Find the total number of tickets sold on all the four days.

Ans: The ticket sold at the counter on first day : 1094

     The ticket sold at the counter on second day : 1812

     The ticket sold at the counter on third day : 2050

     The ticket sold at the counter on final (fourth) day : 2751

     THe ticket sold in four day =1094+1812+2050+2751

 Answer : The ticket sold at the counter on four day= 

2. Shekhar is a famous cricket player. He has so far scored 6980 runs in test matches. He wishes to complete 10,000 runs. How many more runs does he need?

Answer: He scored run in test matches : 6980

         He wished to complete run : 10000

         More run he need : 10000-6980

         More run he need :  

3. In an election, the successful candidate registered 5,77,500 votes and his nearest rival secured 3,48,700 votes. By what margin did the successful candidate win the election?

Answer- In an election, the first candidate registered votes-5,77,500 

         His nearest rival secured votes-3,48,700

In an election, the margin between candidates votes- 577500-348700

      the margin between two candidates- 231200

4. Kirti bookstore sold books worth Rs 2,85,891 in the first week of June and books worth Rs 4,00,768 in the second week of the month. How much was the sale for the two weeks together? In which week was the sale greater and by how much?

Ans- In the first week of June books sold- Rs 2,85,891

     In the second week of June books sold- Rs 4,00,768

     The sale for the two weeks together -4,00,768-2,85,891         The sale for the two weeks together-  

The greater sale in two week - 

the margin of two sales is 1,24,977

5. Find the difference between the greatest and the least number that can be written using the digits 6, 2, 7, 4, 3 each only once.

Ans- The greatest number- 76,432

     The least number- 23467

     The difference between the numbers- 

6. A machine, on an average, manufactures 2,825 screws a day. How many screws did it produce in the month of January 2006?

Answer- A machine manufactures screws in a day- 2,825              A machine manufactures screws in month of january-

7. A merchant had Rs 78,592 with her. She placed an order for purchasing 40 radio sets at Rs 1200 each. How much money will remain with her after the purchase?
8. A student multiplied 7236 by 65 instead of multiplying by 56. By how much was his answer greater than the correct answer? (Hint: Do you need to do both the multiplications?)
9. To stitch a shirt, 2 m 15 cm cloth is needed. Out of 40 m cloth, how many shirts can be stitched and how much cloth will remain?
(Hint: convert data in cm.)
10. Medicine is packed in boxes, each weighing 4 kg 500g. How many such boxes can be loaded in a van which cannot carry beyond 800 kg?
11. The distance between the school and the house of a student’s house is 1 km 875 m. Everyday she walks both ways. Find the total distance covered by her in six days.
12. A vessel has 4 litres and 500 ml of curd. In how many glasses, each of 25 ml capacity, can it be filled?

    

 

1. Knowing Our Numbers

Exercise 1.3

Class 6 Mathematics English Updated : 06 March 2026

Exercise1.3 ch-1


1. Estimate each of the following using general rule:

(a) 730 + 998 (b) 796 – 314 (c) 12,904 +2,888 (d) 28,292 – 21,496

Make ten more such examples of addition, subtraction and estimation of their outcome.
2. Give a rough estimate (by rounding off to nearest hundreds) and also a closer estimate

(by rounding off to nearest tens) :

(a) 439 + 334 + 4,317

(b) 1,08,734 – 47,599

(c) 8325 – 491

(d) 4,89,348 – 48,365

Make four more such examples.

3. Estimate the following products using general rule:

(a) 578 × 161

(b) 5281 × 3491

(c) 1291 × 592

(d) 9250 × 29

Make four more such examples.

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Mathematics

Class 6 (English Medium)

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Studying from NCERT Solutions helps students build strong conceptual understanding and improve problem-solving skills. These solutions are especially useful for revision because every answer is written according to the marking scheme followed by CBSE.

  • Improve conceptual understanding.
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  • Prepare effectively for school examinations.
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  • Build confidence before examinations.

Prepared According to the Latest CBSE Syllabus

All NCERT Book Solutions for Class 6 available on ATP Education are updated according to the latest CBSE curriculum. Whenever NCERT introduces changes in textbooks or syllabus, our study materials are revised accordingly so that students always receive accurate and updated content.

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NCERT textbooks form the foundation of many competitive examinations. Students preparing for Olympiads, NTSE, CUET, UPSC Foundation, SSC and several entrance examinations can strengthen their basics through these chapter-wise solutions. Understanding NCERT concepts also improves analytical thinking and logical reasoning.

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