NCERT Solutions for Class 6 Maths Chapter 3 - Number Play Exercise 3.11

Figure it Out

We shall do some simple estimates. It is a fun exercise, and you may find it amusing to know the various numbers around us. Remember, we are not interested in the exact numbers for the following questions. Share your methods of estimation with the class. 

1. Steps you would take to walk: 

a. From the place you are sitting to the classroom door 

b. Across the school grounds from start to end 

c. From your classroom door to the school gate 

d. From your school to your home 

Ans:
a. From the place you are sitting to the classroom door: About 10–15 steps, depending on the distance between you and the door.

b. Across the school ground from start to end: Approximately 100–150 steps, depending on the size of your school ground.

c. From your classroom door to the school gate: This could be around 200–300 steps, depending on how far the school gate is from your classroom.

d. From your school to your home: If you walk, it could be around 2,000–5,000 steps, depending on how far you live from the school.

2. Number of times you blink your eyes or number of breaths you take: 

a. In a minute 

b. In an hour 

c. In a day 

Ans:
a. In a minute: On average, you blink around 15–20 times and breathe 12–20 times.

b. In an hour: Multiply the number of blinks or breaths per minute by 60. So, about 900–1,200 blinks and 720–1,200 breaths in an hour.

c. In a day: Multiply the hourly count by 24. You might blink around 21,600–28,800 times and breathe around 17,280–28,800 times in a day.

3. Name some objects around you that are: 

a. a few thousand in number 

b. more than ten thousand in number

Ans: 

a. A few thousand in number: Grains of sand in a small pile, pages in a library, leaves on a tree, or threads in a piece of fabric.

b. More than ten thousand in number: Blades of grass in a park, stars visible in the night sky, grains of rice in a bag, or droplets of water in a bucket.

Estimate the answer 

Try to guess within 30 seconds. Check your guess with your friends. 

1. Number of words in your maths textbook: 

a. More than 5000 

b. Less than 5000 

Ans: a. More than 5000

Most textbooks contain well over 5000 words, considering explanations, exercises, and examples.

2. Number of students in your school who travel to school by bus: 

a. More than 200 

b. Less than 200 

Ans: a. More than 200

In most schools, it is common for a large number of students to travel by bus, especially if the school has many students from distant areas.

3. Roshan wants to buy milk and 3 types of fruit to make fruit custard for 5 people. He estimates the cost to be ₹100. Do you agree with him? Why or why not? 

Ans: No, I do not agree.

The cost of 3 types of fruit along with milk for 5 people is likely to exceed ₹100, depending on the fruits chosen. Fruits like apples, bananas, or grapes, along with a litre of milk, may add up to more than ₹100.

4. Estimate the distance between Gandhinagar (in Gujarat) to Kohima (in Nagaland). Hint: Look at the map of India to locate these cities.

Ans: The estimated distance between Gandhinagar and Kohima is around 2,500 to 3,000 km, based on their positions on the map of India.

5. Sheetal is in Grade 6 and says she has spent around 13,000 hours in school till date. Do you agree with her? Why or why not? 

Ans: No, I do not agree.

• Let’s estimate: On average, a student spends about 6 hours per day in school.

• In a school year, there are approximately 200 school days, so that's about 6 × 200 = 1,200 hours per year.

• If Sheetal had been in school for 6 years, she would have spent approximately 1,200 × 6 = 7,200 hours in school. This is much less than 13,000 hours.

6. Earlier, people used to walk long distances as they had no other means of transport. Suppose you walk at your normal pace. Approximately, how long would it take you to go from: 

a. Your current location to one of your favourite places nearby. 

b. Your current location to any neighbouring state’s capital city. 

c. The southernmost point in India to the northernmost point in India. 

Ans:

a. Your current location to one of your favourite places nearby:

• If it’s nearby, like a park or store within 1-2 km, it may take about 20–30 minutes to walk.

b. Your current location to any neighbouring state’s capital city:

• If a neighbouring state’s capital is around 100–300 km away, it would take several days to weeks to walk, depending on the distance and terrain.

c. The southernmost point in India to the northernmost point in India:

• The distance from Kanyakumari to Kashmir is approximately 3,500 km. At an average walking speed of 5 km/hour, walking continuously would take about 700 hours, which is around 29 days of walking without breaks. However, factoring in rest and food, it could take about 2–3 months to complete.

7. Make some estimation questions and challenge your classmates!

Ans: Here are some estimation questions to challenge your classmates:

• How many pages are there in your favourite book?

• How many pencils do you think are used in your class in a school year?

• Estimate the number of chairs in your school.

• How many times do you think you can jump rope in 5 minutes?

• Estimate how many steps it would take to walk around the perimeter of your school building.

Benefits of NCERT Solutions for Class 6 Maths Chapter 3 Exercise 3.11 Number Play

•  NCERT Solutions for Class 6 Maths Chapter 3 Exercise 3.11 provides students with step-by-step explanations to help them master the art of estimation, an essential skill.

• This chapter teaches students how to apply estimation in everyday scenarios, such as approximating sums, distances, or quantities, making learning relevant and practical.

• By practising estimation, students can perform quick calculations with reasonable accuracy, which helps in faster decision-making.

• The clear solutions guide students through various estimation problems, helping them become more confident in tackling maths problems independently.

• The solutions strictly follow the NCERT syllabus, ensuring students receive accurate and up-to-date methods that align with their coursework.

• With easy-to-understand language and examples, the solutions simplify complex concepts, making it easier for students to grasp the fundamentals of estimation.

Class 6 Maths Chapter 3: Exercises Breakdown

Important Study Material Links for Maths Chapter 3 Class 6

Conclusion

The NCERT Solutions for Class 6 Maths Chapter 3 - Number Play Exercise 3.11 on Simple Estimation offer a clear understanding of how to estimate and round numbers. These solutions make it easy for students to grasp estimation techniques and apply them in daily life situations. By practising these exercises, students improve their problem-solving skills and gain confidence in performing quick calculations. With step-by-step guidance, these solutions help students build a solid foundation in mathematics and prepare them for more advanced topics in the future.

Chapter-wise NCERT Solutions Class 6 Maths

After familiarising yourself with the Class 6 Maths  Chapters Question Answers, you can access comprehensive NCERT Solutions from all Class 6 Maths textbook chapters.

Related Important Links for Class 6  Maths 

Along with this, students can also download additional study materials provided by Vedantu for Maths  Class 6-