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## Selina Concise Mathematics Class 6 ICSE Solutions Chapter 1 Number System (Consolidating the Sense of Numberness)

**Selina Publishers Concise Mathematics Class 6 ICSE Solutions Chapter 1 Number System (Consolidating the Sense of Numberness)**

### Number System Exercise 1A – Selina Concise Mathematics Class 6 ICSE Solutions

Question 1.

Which is greater?

(i) 537 or 98

(ii) 2428 or 529

(iii) 2, 59, 467 or 10, 35, 729

Solution:

Question 2.

Which is smaller?

(i) 428 or 437

(ii) 2497 or 2597

(iii) 3297 or 3596

Solution:

Question 3.

Which is greater?

(i) 45293 or 45427

(ii) 380362 or 381007

(iii) 63520 or 63250

Solution:

Question 4.

By making a suitable chart, compare:

(i) 540276 and 369998

(ii) 6983245 and 6893254

Solution:

Question 5.

Compare the numbers written in the following table by writing them in ascending order:

5 | 4 | 3 | 2 | 9 | 7 | 2 | |

2 | 3 | 1 | 0 | 6 | 2 | 9 | 3 |

5 | 2 | 2 | 3 | 7 | 9 | 1 | |

2 | 3 | 1 | 8 | 2 | 6 | 3 | 4 |

5 | 4 | 3 | 4 | 4 | 7 | 8 | 2 |

Solution:

Question 6.

Use table form to compare the numbers in descending order : 5,43,287; 54,82,900; 27,32,940; 43,877 ; 78,396 and 4,999

Solution:

Question 7.

Find the smallest and the greatest numbers in each case given below:

(i) 983, 5754, 84 and 5942

(ii) 32849, 53628, 5499 and 54909.

Solution:

Question 8.

Form the greatest and the smallest 4 digit numbers using the given digits without repetition

(i) 3, 7, 2 and 5

(ii) 6, 1, 4 and 9

(iii) 7, 0, 4 and 2

(iv) 1, 8, 5 and 3

(v) 9, 6, 0 and 7

Solution:

Question 9.

Form the greatest and the smallest 3-digit numbers using any three different digits with the condition that digit 6 is always at the unit (one’s) place.

Solution:

Question 10.

Form the greatest and the smallest 4-digit number using any four different digits with the condition that digit 5 is always at ten’s place.

Solution:

Question 11.

Fill in the blanks :

(i) The largest number of 5-digit is …………… and the smallest number of 6-digit is …………….

(ii) The difference between the smallest number of four digits and the largest number of three digits = …………. – ………….. = …………..

(iii) The sum (addition) of the smallest number of three digit and the largest number of two digit = ………… + …………= ………….

(iv) On adding one to the largest five digit number, we get ……………. which is the smallest ……………… digit number.

(v) On subtracting one from the smallest four digit number, we get ……………… which is the ……………. three digit number.

Solution:

Question 12.

Form the largest number with the digits 2, 3, 5, 9, 6 and 0 without repetition of digits.

Solution:

Question 13.

Write the smallest and the greatest numbers of 4 digits without repetition of any digit.

Solution:

Question 14.

Find the greatest and the smallest five digit numbers with 8 in hundred’s place and with all the digits different.

Solution:

Question 15.

Find the sum of the largest and the smallest four-digit numbers:

Solution:

Question 16.

Find the difference between the smallest and the greatest six-digits numbers.

Solution:

Question 17.

(i) How many four digit numbers are there between 999 and 3000?

(ii) How many four digit numbers are there between 99 and 3000?

Solution:

Question 18.

How many four digit numbers are there between 500 and 3000?

Solution:

Question 19.

Write all the possible three digit numbers using the digits 3, 6 and 8 only; if the repetition of digits is not allowed.

Solution:

Question 20.

Make the greatest and the smallest 4-digit numbers using the digits 5, 4, 7 and 9 (without repeating the digits) and with the condition that:

(i) 7 is at unit’s place.

(ii) 9 is at ten’s place

(iii) 4 is at hundred’s place

Solution:

(i) 7 is at unit’s place

### Number System Exercise 1B – Selina Concise Mathematics Class 8 ICSE Solutions

Question 1.

Population of a city was 3, 54, 976 in the year 2014. In the year 2015, it was found to be increased by 68, 438. What was the population of the city at the end of the year 2015?

Solution:

Question 2.

A = 7,43,000 and B = 8,00,100. Which is greater A or B ? And, by how much?

Solution:

Question 3.

A small and thin notebook has 56 pages. How many total numbers of pages will 5326 such note-books have?

Solution:

Question 4.

The number of sheets of paper available for making notebooks is 75,000. Each sheet makes 8 pages of a notebook. Each notebook contains 200 pages. How many notebooks can be made from the available paper?

Solution:

Question 5.

Add 1, 76, 209; 4, 50, 923 and 44, 83, 947

Solution:

Question 6.

A cricket player has so far scored 7, 849 runs in test matches. He wishes to complete 10, 000 runs ; how many more runs does he need?

Solution:

Question 7.

In an election two candidates A and B are the only contestants. If candidate A scored 9, 32, 567 votes and candidates B scored 9, 00, 235 votes, by how much margin did A win or loose the election?

Solution:

Question 8.

Find the difference between the largest and the smallest number that can be written using the digits 5, 1, 6,3 and 2 without repeating any digit.

Solution:

Question 9.

A machine manufactures 5,782 screws every day. How many screws will it manufacture in the month of April ?

Solution:

Question 10.

A man had ₹ 1, 57, 184 with him. He placed an order for purchasing 80 articles at 125 each. How much money will remain with him after the purchase?

Solution:

Question 11.

A student multiplied 8,035 by 87 instead of multiplying by 78. By how much was his answer greater than or less than the correct answer?

Solution:

Question 12.

Mohani has 30 m cloth and she wants to make some shirts for her son. If each shirt requires 2 m 30 cm cloth, how many shirts, in all, can be made and how much length of cloth will be lefft?

Solution:

Question 13.

The weight of a box is 4 kg 800 gm. What is the total weight of 150 boxes?>

Solution:

Question 14.

The distance between two places A and B is 3 km 760 m. A boy travels A to B and then B to A every day. How much distance does he travel in 8 days?

Solution:

Question 15.

An oil-tin contains 6 litre 60 ml oil. How many identical bottles can the oil fill, if capacity of each bottle is 30 ml ?

Solution:

Question 16.

The scale receipt of a company in a certain year was ₹ 83, 73, 540. In the following year, it was decreased by ₹ 7, 84, 670.

(i) What was the sale receipt of the company during second year?

(ii) What was the total sale receipt of the company during these two years?

Solution:

Question 17.

A number exceeds 8, 59, 470 by 3, 00, 999. What is the number?

Solution: