6th Maths Term 1 Chapter 1 Exercise 1.6 Solutions | Miscellaneous Practice Problems

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.

Solution:

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 each 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.

Solution:

(i) Write the Canopus star’s diameter in words, in the Indian and the International System.
Canopus 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) Write the sum of the place values of 5 in Sirius star’s diameter in the Indian System.
Sirius = 15,56,500
Sum of the place value of 5
1556500 = 5 × 100000 + 5 × 10000 + 5 × 100
= 500000 + 50000 + 500
= 5,50,500

(iii) Eight hundred sixty four million seven hundred thirty. Write this in standard form of Indian System.
8,64,000,730 = 86,40,00,730
Eighty six crore forty lakh seven hundred thirty

(iv) Write the diameter in words of Arcturus star in the International System.
Arcturus : 19888800
International System : 19,888,800
Nineteen million eight hundred eighty eight thousand eight hundred

(v) Write the difference of the diameters of Canopus and Arcturus stars in the Indian and the International Systems.
Difference :
Canopus = 25941900
Arcturus = 19888800
Difference = 6053100
Difference is 6053100
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. 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 - Answer Key

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) Nineteen 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.