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## Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 1 Numbers Ex 1.6

**Miscellaneous Practice Problems**

Question 1.

Try to open my locked suitcase which has the biggest 5 digits odd number as the password comprising the digits 7, 5, 4, 3 and 8. Find the password.

Solution:

Using a place value chart

The number should be the biggest odd

The password is 87543

Question 2.

As per the census of 2001, the population of four states are given below. Arrange the states in ascending and descending order of their population.

Solution:

All the four values have 8 digits

Comparing the leftmost digits we have 91276115, 72626809, 72147030, 68548437

Descending order: 91276115 > 72626809 > 72147030 > 68548437

Ascending order: 68548437 < 72147030 < 72626809 < 91276115

Ascending order: Rajasthan < Tamil Nadu < Madhy Pradesh < West Bengal

Descending order: West Bengal > Madhya Pradesh > TamilNadu > Rajasthan

Question 3.

Study the following table and answer the questions.

(i) How many tigers were there in 2011?

(ii) How many tigers were less in 2008 than in 1990?

(iii) Did the number of tigers increase or decrease between 2011 and 2014? If yes, by how much?

Solution:

(i) There are 1706 tigers in 2011

(ii) No. of tigers in 2008 = 1400

No. of tigers in 1990 = 3500

There were 2100 lesser tigers

(iii) No. of tigers in 2014 = 2226

No. of tigers in 2011 = 1706

Difference = 520

2226 > 1706

The number of tigers increased from 2011 to 2014.

Yes, the number of tigers increased, 520 more tigers are there in 2014.

Question 4.

Mullaikodi has 25 bags of apples. In each bag, there are 9 apples. She shares them equally amongst her 6 friends. How many apples does each get? Are there any apples left over?

Solution:

Number of bags of apples = 25

Number of apples in each bag = 9

Total apples = 25 × 9 = 225

Number of friends = 6

Number of apples each friend get = 225 ÷ 6 = 37

Number of apples each get = 37

Remaining apples = 3

Question 5.

A Poultry has produced 15472 eggs and fits 30 eggs in a tray. How many trays do they need?

Solution:

Total eggs = 15472

No. of eggs in 1 tray = 30

No. of trays needed = 15472 ÷ 30 = 516

No. of trays needed = 516 [515 + 1 for remaining 22 eggs]

**Challenging Problems (Textbook Page No.36 & 37)**

Question 6.

Read the table and answer the following questions.

Solution:

(i) Write the Canopus star’s diameter in words in the Indian and the International System.

(ii) Write the sum of the place values of 5 in Sirius star’s diameter in Indian System.

(iii) Eight hundred sixty-four million seven hundred thirty. Write in Indian System

(iv) Write the diameter in words of Arcturus star in the International System.

(v) Write the difference of the diameters of Canopus and Arcturus star in the Indian and the International Systems.

Solution:

(i) Canopus star’s diameter is 25941900 miles

Indian System: Two crores Fifty-Nine Lakh Forty-one thousand Nine Hundred

International System: Twenty-Five Million Nine Hundred Forty-One Thousand Nine Hundred.

(ii) Sirus star’s diameter = 1556500 miles

Sum of place values of 5 is 5 × 100000 + 5 × 10000 + 5 × 100

= 500000 + 50000 + 500

= 5,50,500

(iii) Given value is 864,000,730

In Indian System 86,40,00,730

Eighty-six crore forty lakhs seven hundred and thirty.

(iv) The diameter of the Arcturus Star is 19,888,800 miles

Nineteen Million Eight Hundred and Eighty-Eight Thousand Eight Hundred.

(v) The diameter of Canopus = 25941900

Diameter of Arcturus = 19888800

Difference = 6053100

In Indian System 60,53,100

Sixty lakh fifty-three thousand one hundred.

In International System 6,053,100

Six Million fifty-three thousand one hundred.

Question 7.

Anbu asks Arivu Selvi to guess a five-digit odd number. He gives the following hints.

i. The digit in the 1000s place is less than 5

ii. The digit in the 100s place is greater than 6

iii. The digit in the 10s place is 8

What is Arivu Selvi’s answer? Does she give more than one answer?

Solution:

There are more than one answers.

One of them is 54781

Some of the other numbers maybe 64783, 74785, 84787 and so on.

Question 8.

A Music concert is taking place in a stadium, A total of 7,689 chairs are to be put in rows of 90.

(i) How many rows will there be?

(ii) Will there be any chairs left over?

Solution:

(i) There will be 85 rows

(ii) Yes, there are 39 chairs left over.

Question 9.

Round off the seven-digit number 29,75,842 to the nearest lakhs and ten lakhs. Are they the same?

Solution:

To the nearest lakhs = 30,00,000

To the nearest ten lakhs = 30,00,000

Yes, they are the same.

Question 10.

Find the 5 or 6 or 7 digit numbers from a newspaper or a magazine to get a rounded number to the nearest ten thousand.

- A rounded number.
- A rounded amount of money.
- An exact number

Solution:

- Nearly 3,00,000 students are going to appear for the Public Examination this year.
- A discount of ₹ 1,00,00,000 will be allowed to the farmers.
- 4,62,790 students have benefited from scholarships.