6th Maths : Term 1 Unit 1 : Numbers : Miscellaneous Practice Problems, Text Book Back Exercises Questions with Answers, Solution

__Exercise
1.6__

__Miscellaneous
Practice Problems__

** **

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

**Answer:** Password = 87543

** **

**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.**

**● Tamil Nadu
72147030**

**● Rajasthan 68548437**

**● Madhya Pradesh 72626809**

**● West Bengal 91276115**

**Solution:**

**Ascending:**

68548437 ; 72147030 ; 72626809 ; 91276115

**Descending:**

91276115 ; 72626809 ; 72147030 ; 68548437

** **

**3.
Study the following table and answer the questions.**

**(i) How many tigers were there in 2011?**

**Answer:** 1706

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

**Answer:** 3500 − 1400 = 2100

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

**Answer:** Yes, the number of tigers
increased by 520 tigers.

**Soution:**

2226

1706

__520 __

** **

**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
do each get? Are there any apples left over?**

**Solution:**

No. of apple bags = 25

Each bag contains = 9 apples

Total No. of apples = 25 × 9

= 225 apples.

Total apples shared = 6

They eaach get = 225 / 6

225 / 6 = 37 ; Remainder = 3

among 6 friends; each of them they get 37 apples and 3 apples
left over.

** **

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

**Solution:**

No. of eggs produced = 15472

In one tray = 30

No. of trays need = 15472 / 30

For 23 eggs one tray + 515 trays

Totally = 515 + 1 = 516 trays need.

** **

__Challenging Problems__

**6.
Read the table and answer the following questions.**

**(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 the Indian System.**

**(iii) Eight hundred sixty four million seven hundred
thirty. Write this in standard form of 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 stars in the Indian and the International Systems.**

**Solution: **

(i) Conopus star’s diameter = 25941900

Indian System : 2,59,41,900

Two crore fifty nine lakh forty one thousand nine hundred.

International System : 25,941,900

Twenty five million nine hundred forty one thousand nine
hundred.

(ii) Sirius = 15,56,500

Sum of the place value of 5

1** 55**6

= 500000 + 50000 + 500

= 5,50,500

(iii) 8,64,000,730 = 86,40,00,730

Eighty six crore forty lakh seven hundred thirty

(iv) Acrturus : 19888800

International System : 19,888,800

Nineteen million eight hundred eighty eight thousand eight
hundred

(v) Difference :

Canopus =25941900

Arcturus = 19888800

__6053100
__

Difference is 6053100

Indian System = 60,53,100

Sixty lakh fifty three thousand hundred

International System = 6,053,100

Six million fifty three thousand hundred

** **

**7. Anbu asks Anjali to guess a five digit odd number.
He gives the following hints.**

**● The digit in the 1000s place is less than 5**

**● The digit in the 100s place is greater than 6**

**● The digit in the 10s place is 8**

**What is Anjali’s answer? Does she give more than
one answer?**

**Solution:**

It is five digit odd number

1000th place <5

100th place >6

10th place = 8

TTh Th H T O

x < 5 >
6 8 1/3/5/7/9

One of the answer is 64781

Many answers are possible.

** **

**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:**

Total number of chairs = 7,689

In one row = 90 chairs

Total number of rows = 7689 / 90

(i) 85 rows will be there

(ii) There will be 39 chairs left over.

** **

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

**Solution:**

Seven digit number = ** 29,**75,842

To the nearest lakh = 30,00,000

To the nearest ten lakh = 30,00,000

Yes, both are same.

** **

**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.**

**Solution:**

5 digit numbers nearest to ten thousand

56,789 = 6 > 5 => 60,000

95,463 = 5 = 5 => 1,00,000

73,210 = 3 < 5 => 70,000

6 digit no. nearest to ten thousand

1,76,543 = 6 > 5 => 1,80,000

7 digit no. nearest to ten thousand

83,42,693 = 2 < 5 => 83,40,000

** **

__Exercise 1.6__

**1) 87543**

**2) Ascending Order : 6,85,48,437 < 7,21,47,030 <
7,26,26,809 < 9,12,76,115**

**Descending Order: 9,12,76,115 > 7,26,26,809 > 7,21,47,030
> 6,85,48,437**

**3) (i) 1706 tigers in 2011 (ii) 2100 (iii) 520 tigers increased
from 2011 to 2014**

**4) among 6 friends, each of them get 37 apples. 3 apples left
over**

**5) 515 + 1 = 516 trays required**

**6) (i) Indian System:Two crore fifty nine lakh forty one
thousand nine hundred**

**International System: Twenty five million nine hundred forty one thousand nine hundred**

**(ii) 5,50,500 **

**(iii) Eighty six crore forty lakh seven hundred thirty**

**(iv) Ninteen million eight hundred eighty eight thousand eight
hundred**

**(v) Indian System : 60,53,100 − Sixty lakh fifty three thousand
one hundred **

**International System : 6,053,100 − Six million fifty three
thousand one hundred**

**7) One of the answers is 43781. Many answers are possible**

**8) (i) 85 rows are required to fill 7650 chairs (ii) The
remaining chairs are 39**

**9) Yes, both are same (30,00,000)**

**10) Relevant answers are yours**

**How will you read the large number
given below?**

**731,687,303,715,884,105,727**

**This is read as 731 quintillion, 687
quadrillion, 303 trillion, 715 billion, 884 million, 105 thousand, 727.**

Tags : Questions with Answers, Solution | Numbers | Term 1 Chapter 1 | 6th Maths , 6th Maths : Term 1 Unit 1 : Numbers

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6th Maths : Term 1 Unit 1 : Numbers : Exercise 1.6 | Questions with Answers, Solution | Numbers | Term 1 Chapter 1 | 6th Maths

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