ICSE

ML Aggarwal Class 6 Solutions Chapter 1 Knowing Our Numbers Objective Type Questions for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 1 Knowing Our Numbers Objective Type Questions

Mental Maths
Question 1.
Fill in the blanks:
(i) The digit …………… has the highest place value in the number 2309.
(ii) The digit …………… has the highest face value in the number 2039.
(iii) The digit …………… has the lowest place value in the number 2039.
(iv) Both Indian and International systems of numeration have …………… period in common.
(v) In the International system of numeration, commas are placed from …………… after every …………… digits.
(vi) The bigger number from the numbers 57,631 and 57,361 is ……………
(vii) 1 crore = …………… million
(viii)The smallest 4-digit number with 3 different digits is ……………
(ix) The greatest 4-digit number with 3 different digits is ……………
(x) 15 km 300 m = …………… m
(xi) 7850 cm = …………… m …………… cm
(xii) The number 5079 when estimated to the nearest hundreds is ……………
Solution:

Question 2.
State whether the following statements are true (T) or false (F):
(i) The difference between the place value and the face of the digit 7 in the number 2701 is 693.
(ii) The smallest 4-digit number -1 = the greatest 3-digit number.
(iii) The place of a digit is independent of whether the number is written in the Indian system or International system of numeration.
(iv) In the International system, a number having less number of digits is always smaller than the number having more number of digits.
(v) The estimated value of 9999 to the nearest tens is 10000.
Solution:

Multiple Choice Questions
Choose the correct answer from the given four options (3 to 17):
Question 3.
The face value of the digit 5 in the number 36503 is
(a) 5
(b) 503
(c) 500
(d) none of these
Solution:

Question 4.
The difference between the place values of 6 and 3 in 76834 is
(a) 3
(b) 5700
(c) 5930
(d) 5970
Solution:

Question 5.
The sum of the place values of all the digits in 5003 is
(a) 8
(b) 53
(c) 5003
(d) 8000
Solution:

Question 6.
The total number of 4-digit numbers is
(a) 9000
(b) 9999
(c) 10000
(d) none of these
Solution:

Question 7.
The product of the place values of two-threes in 73532 is
(a) 9000
(b) 90000
(c) 99000
(d) 1000
Solution:

Question 8.
The smallest 4-digit number having distinct digits is
(a) 1234
(b) 1023
(c) 1002
(d) 3210
Solution:

Question 9.
The largest 4-digit number having distinct digits is
(a) 9999
(b) 9867
(c) 9786
(d) 9876
Solution:

Question 10.
The largest 4-digit number is
(a) 9999
(b) 9876
(c) 9990
(d) none of these
Solution:

Question 11.
The difference between the largest number of 3-digit and the largest number of 3-digit with distinct digits is
(a) 0
(b) 10
(c) 12
(d) 14
Solution:

Question 12.
If we write natural numbers from 1 to 100, the number of times the digit 5 has been written is
(a) 11
(b) 15
(c) 19
(d) 20
Solution:

Question 13.
The number 28,549 when rounded off to the nearest hundreds is
(a) 28,000
(b) 28,500
(c) 28,600
(d) 29,000
Solution:

Question 14.
The smallest natural number which when rounded off to the nearest hundreds as 500 is
(a) 499
(b) 501
(c) 450
(d) 549
Solution:

Question 15.
The greatest natural number which when rounded off to the nearest hundreds as 500 is
(a) 549
(b) 599
(c) 450
(d) none of these
Solution:

Question 16.
The greatest 5-digit number formed by the digits 3, 0, 7 is
(a) 33077
(b) 77730
(c) 77330
(d) none of these
Solution:

Question 17.
In the International place value system, we write 1 billion for
(a) 10 lakh
(b) 1 crore
(c) 10 crore
(d) 100 crore
Solution:

Value Based Questions
Question 1.
The distance between Anu’s home and her school is 4 km 850 m. Everyday she cycles both ways. Find the distance covered by her in a week. (Sunday being a holiday).
What are the advantages of cycling?
Solution:

Higher Order Thinking Skills (HOTS)
Question 1.
Is there any digit whose place value is always equal to its face value irrespective of its position in any number?
Solution:

Question 2.
Write all 4-digit numbers that can be formed with the digits2 and 5, using both digits equal number of time. Also find their sum.
Solution:

Question 3.
What is the difference between the smallest 6-digit number with five different digits and the greatest 5-digit number with four different digits?
Solution:

Question 4.
How many times does the digit 3 occur at tert’s place in natural numbers from 100 to 1000?
Solution:

ML Aggarwal Class 6 Solutions Chapter 1 Knowing Our Numbers Ex 1.4 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 1 Knowing Our Numbers Ex 1.4

Question 1.
Round off each of the following numbers to their nearest tens:
(i) 77
(ii) 903
(iii) 70 1205
(iv) 999
Solution:

Question 2.
Estimate each of the following numbers to their nearest hundreds:
(i) 1246
(ii) 32057
(iii) 53961
(iv) 555555
Solution:

Question 3.
Estimate each of the following numbers to their nearest thousands:
(i) 5706
(ii) 378
(iii) 47,599
(iv) 1,09,736
Solution:

Question 4.
Give a rough estimate (by rounding off to nearest hundreds) and also a closer estimate (by rounding off to nearest tens):
(i) 439 + 334 + 4317
(ii) 8325 – 491
(iii) 1,08,734-47,599
(iv) 4,89,348 – 48,365
Solution:

Question 5.
Estimate each of the following by rounding off each number nearest to its greatest place:
(i) 730 + 998
(ii) 5,290 + 17,986
(iii) 796-314
(iv) 28,292 – 21,496
Solution:

Question 6.
Estimate the following products by rounding off each of its factors nearest to its greatest place:
(i) 578 × 161
(ii) 9650 × 27
Solution:

Question 7.
Estimate the following products by rounding off each of its factors nearest to its hundreds place:
(i) 5281 × 3491
(ii) 1387 × 888
Solution:

ML Aggarwal Class 6 Solutions Chapter 1 Knowing Our Numbers Ex 1.1 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 1 Knowing Our Numbers Ex 1.3

Question 1.
In a particular year, a company manufactured 8570435 bicycles and next year it manufactured 8756430 bicycles. In which year more bicycles were manufactured and by how many?
Solution:

Question 2.
What number must be subtracted from 1,02,59,756 to get 77,63,835?
Solution:

Question 3.
The sale receipt of a company during a year was ₹ 30587850. Next year it increased by ₹ 6375490. What was the total sale receipt of the company during these two years?
Solution:

Question 4.
A machine manufactures 23875 screws per day. How many screws did it produce iff the year 2012? Assume that the machine worked on all the days of the year.
Solution:

Question 5.
A merchant had ₹ 78,592 with him. He placed an order for puchasing 54 bicycles at ₹ 970 each. How much money will remain with him after the purchase?
Solution:

Question 6.
Amitabh is 1 m 82 cm tall and his wife is 35 cm shorter than him. What is his wife’s height?
Solution:

Question 7.
The mass of each gas cylinder is 21 kg 270g. What is total mass of 28 such cylinders?
Solution:

Question 8.
In order to make a shirt, 2 m 25 cm cloth is needed. What length of cloth is required to make 18 such shirts?
Solution:

Question 9.
The total mass of 12 packets of sweets, each of the same size, is 15 kg 600 g. What is the mass of each such packet?
Solution:

Question 10.
A vessel has 4 litres 500 millilitres of orange juice. In how many glasses, each of 25 mL capacity, can it be filled?
Solution:

Question 11.
To stitch a trouser, 1 m 30 cm cloth is needed. Out of 25 m cloth, how many trousers can be stitched and how much cloth will remain?
Solution:

ML Aggarwal Class 6 Solutions Chapter 1 Knowing Our Numbers Ex 1.2 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 1 Knowing Our Numbers Ex 1.2

Question 1.
Use the appropriate symbol < or > to fill in the blanks:
(i) 173 … 189
(ii) 1058 … 1074
(iii) 8315 … 8037
Solution:

Question 2.
In each of the following pairs of numbers, state which number is smaller:
(i) 553,503
(ii) 41338,1139
(iii) 25431,24531
Solution:

Question 3.
Find the greatest and the smallest numbers in each row:
(i) 71834, 75284, 571, 2333, 594
(ii) 9853, 7691, 9999, 12002.
Solution:

Question 4.
Arrange the following numbers in ascending order:
304, 340, 34, 43, 430
Solution:

Question 5.
Arrange the following numbers in descending order:
53, 7333, 553, 7529, 335.
Solution:

Question 6.
Write all possible 2-digits numbers that can be formed by using the digits 2, 3 and 4. Repetition of digits is not allowed. Also find their sum.
Solution:

Question 7.
Write all possible 3-digits numbers using the digits 3, 1 and 5. Repetition of digits is not allowed.
Solution:

Question 8.
Write all possible 3-digits numbers using the digits 7, 0 and 6. Repetition of digits is not allowed. Also, find their sum.
Solution:

Question 9.
Write all possible 2-digit numbers using the digits 4, 0 and 9. Repetition of digits is not allowed. Also find their sum.
Solution:

Question 10.
Write all possible 2-digit numbers that can be formed by using the digit 3, 7 and 9. Repetition of digits is allowed.
Solution:

Question 11.
Write all possible numbers using the digits 3,1 and 5. Repetition of digits is not allowed.
Solution:

Question 12.
How many 6-digit numbers are there in all ?
Solution:

Question 13.
Write down the greatest number and the smallest number of 4-digits that can be formed by the digits 7, 5,0 and 4 using each digit only once.
Solution:

Question 14.
Rearrange the digits of the number 5701024 to get the largest number and the smallest number of 7 digits.
Solution:

Question 15.
Keeping the place value of digit 3 in the number 730265 same, rearrange
the digits of the given number to get the largest number and smallest number of 6 digits.
Solution:

Question 16.
Form the smallest and greatest 4-digit numbers by using any one digit twice from the digits:
(i) 5, 2, 3, 9
(ii) 6, 0, 1, 4
(iii) 4, 6, 1, 5, 8.
Solution:

Question 17.
Write
(i) the greatest number of 6 digits
(ii) the smallest number of 7 digits. Also find their difference.
Solution:

Question 18.
Write the greatest 4-digit number of distinct digits.
Solution:

Question 19.
Write the smallest 4-digit number of distinct digits.
Solution:

Question 20.
Write the greatest 6-digit number using three different digits.
Solution:

Question 21.
Write the smallest 7-digit number using four different digits.
Solution:

Question 22.
Write the greatest and the smallest 4-digit numbers using four different digits with the conditions as given:
(i) Digit 7 is always at units place.
(ii) Digit 4 is always at tens place.
(iii) Digit 9 is always at hundreds place.
(iv) Digit 2 is always at thousands place.
Solution:

ML Aggarwal Class 6 Solutions Chapter 1 Knowing Our Numbers Ex 1.1 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 1 Knowing Our Numbers Ex 1.1

Question 1.
Write the smallest natural number. Can you write the largest natural number?
Solution:

Question 2.
Fill in the blanks:
(i) 1 lakh = … ten thousand
(ii) 1 million = … hundred thousand
(iii) 1 crore = … ten lakh
(iv) 1 billion =… hundred million.
Solution:

Question 3.
Insert commas suitably and write each of the following numbers in words in the Indian system and the International system of numeration.
(i) 506723
(ii) 180018018
Solution:

Question 4.
Write the following numbers in expanded form:
(i) 750687
(ii) 5032109
Solution:

Question 5.
Write the following number in figures:
(i) Seven lakh three thousand four hundred twenty.
(ii) Eighty crore twenty three thousand ninety three.
Also write the above numbers in the place value chart.
Solution:

Question 6.
Write each of the following numbers in numeral form and place commas correctly:
(i) Seventy three lakh seventy thousand four hundred seven.
(ii) Nine crore five lakh forty one.
(iii) Fifty eight million four hundred twenty three thousand two hundred two.
Solution:

Question 7.
Write the face value and place value of the digit 6 in the number 756032.
Solution:

Question 8.
Find the difference between the place value and the face value of the digit 9 in the number 229301.
Solution:

Question 9.
Determine the difference of the place value of two 7’s in 37014472 and write it in words in International system.
Solution:

Question 10.
Determine the product of place value and the face value of the digit 4 in the number 5437.
Solution:

Question 11.
Find the difference between the number 895 and that obtained on reversing its digits.
Solution: