6th Maths Guide Term 1 English Medium – Chapter 1 Numbers Ex 1.6 | Numbers

6th maths guide term 1 English medium chapter 1 numbers ex-1-6

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.

Five digit odd number obtained using 7, 5, 4, 3 and 8 = 87543
(Write in descending order to find the largest number)

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.

State Population
Tamil Nadu 72147030
Rajasthan 68548437
Madhya Pradesh 72626809
West Bengal 91276115

Ascending order

6,85,48,437 < 7,21,47,030 < 7,26,26,809 < 9,12,76,115
Rajasthan < Tamil Nadu < Madhya Pradesh < West Bengal

Descending order

9,12,76,115 < 7,26,26,809 < 7,21,47,030 < 6,85,48,437
West Bengal > Madhya Pradesh > Tamil Nadu > Rajasthan

3. Study the following table and answer the questions.

Year No. of Tigers
1990 3500
2008 1400
2011 1706
2014 2226

(i) How many tigers were there in 2011?

Ans: 1706

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

difference = Tigers in 1990 – Tigers in 2008

= 3500 – 1400
= 2100

Ans: 2100

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

= Tigers in 2014 – Tigers in 2011

= 2226 – 1706
= 520

 520 tigers increased from 2011 to 2014

Ans: 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?

Number of bags = 25
Each bay containing = 9 apples
Total apples = 25 × 9 = 255
225 apples shares 6 friends = 225 ÷ 6

6th maths guide term 1 Englishl medium chapter 1 numbers ex-1-6-3
Each of them gets = 37 apples
apples left = 3

Ans: 3 apples left

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

Total eggs = 15,472
Each tray = 30eggs
Tray needed = 15472 ÷ 30

6th maths guide term 1 Englishl medium chapter 1 numbers ex-1-6-1= 515 Trays

And in one more they fill remaining 22 eggs.
So totally 516 trays needed.

மேற்சிந்தனைக் கணக்குகள்

6. Read the table and answer the following questions.

Name of the Star Diameter (in miles)
Sun 864730
Sirius 1556500
Canopus 25941900
Alpha Centauri 1037700
Arcturus  19888800
Vega 2594200

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

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 star’s diameter – 15,56,500
Place values of 5 are 5 – hundred, 5 – Ten thousand, 5 – Lakhs
5,00,000 + 50,000 + 500 = 5,50,500
The sum of place value of 5 = 5,50,500 (Five Lakh fifty thousand five hundred)

Ans: 5,50,500

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

International System

864,000,730

Indian System

86,40,00,730 – Eight lakh sixty four thousand seven hundred thirty.

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

Diameter of Canopus – Diameter of Arcturus
25941900 – 19888800 = 6053100

Indian System:

60,53,100 – Sixty Lakhs fifty three thousand one hundred

International System:

6,053,100 – Six million fifty three thousand one hundred.

7. Anbu asks Arivu Selvi 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 Arivu Selvi answer? Does she give more than one answer

The answer given by Arivuchelvi = 63785, 53781

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

Total number of chairs = 7,689
Total Number of rows = 90
Number of rows occupied = 7689 ÷ 90

6th maths guide term 1 Englishl medium chapter 1 numbers ex-1-6-2

The remaining chairs = 39

(i) How many rows will there be?

Ans: 85

(ii) Will there be any chairs left over?

Ans: 39

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

29,75,842 round off nearest lakh = 30,00,000

29,75,842 round off ten lakh = 30,00,000

Yes, they 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.

(i) 14276 – 10000

(ii) 1,86945 – 1,90000