**Class 6 Maths Chapter 1 Exercise 1.2**

NCERT solutions for Class 6 Maths Chapter 1 Exercise 1.2 – Knowing your Numbers. Find detailed step-by-step solutions to all the questions in this exercise.

**[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.**

- To find the total number of tickets sold on all four days, we need to add number of tickets sold on each day.
- tickets sold on the first day = 1094

tickets sold on the second day = 1812

tickets sold on the third day = 2050

tickets sold on the final day = 2751 - Total number of tickets sold = 1094 + 1812 + 2050 + 2751 = 7707
- Therefore, the total number of tickets sold is 7707.

**[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?**

- To find how many more runs Shekhar needs to complete 10,000 runs in test matches, we need to subtract the runs he has already scored from the target of 10,000 runs.
- Runs Shekhar has scored so far = 6980

Target runs = 10,000 - runs needed = Target runs – Runs scored so far

= 10,000 – 6980

= 3020 - Therefore, Shekhar needs 3020 more runs to complete 10,000 runs in test matches.

**[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?**

- To calculate the election margin, subtract the nearest rival’s votes from the successful candidate’s votes.
- No. of votes secured by the successful candidate = 5,77,500

No. of votes secured by the nearest rival = 3,48,700 - Margin of victory = No. of votes of successful candidate – No. of votes of nearest rival

= 5,77,500 – 3,48,700

= 2,28,800 - Therefore, the successful candidate won by a margin of 2,28,800 votes.

**[4] Kirti bookstore sold books worth ` 2,85,891 in the first week of June and books**

**worth ` 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?**

- To get the total sales for both weeks, add the sales of the first and second week.
- Sales first week of June = ₹2,85,891

Sales second week of June = ₹4,00,768 - Total sales for the two weeks = Sales first week + Sales second week

= ₹2,85,891 + ₹4,00,768

= ₹6,86,659 - Therefore, the total sales for the two weeks together is ₹6,86,659.
- To know which week had greater sales and by how much, we can compare the sales figures of the first and second week.
- first week sales: ₹2,85,891

second week sales : ₹4,00,768 - The sales in the second week (₹4,00,768) are greater than the sales in the first week (₹2,85,891).
- The difference in sales = Sales in the second week – Sales in the first week

= ₹4,00,768 – ₹2,85,891

= ₹1,14,877 - Therefore, the sales in the second week were greater than the sales in the first week by ₹1,14,877.

**[5] Find the difference between the greatest and the least 5-digit number that can be**

**written using the digits 6, 2, 7, 4, 3 each only once.**

- The greatest 5-digit number formed using these digits is 76432.
- The least 5-digit number formed using these digits is 23467.
- Now, find the difference between these two numbers:
- 76432 – 23467 = 52965
- Therefore, the difference between the greatest and the least 5-digit number is 52,965.

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

- To calculate the number of screws produced in January 2006, we multiply the average number of screws produced per day by the number of days in January.
- Average number of screws manufactured per day = 2,825
- Number of days in January 2006 = 31
- Total screws produced in January 2006 = Average screws per day × Number of days
- Total screws produced in January 2006 = 2,825 screws/day × 31 days
- Total screws produced in January 2006 = 87,775 screws
- Therefore, the machine produced 87,775 screws in the month of January 2006.