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ML Aggarwal Class 6 Solutions Chapter 2 Whole Numbers Ex 2.3 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 2 Whole Numbers Ex 2.3

Question 1.
Using shorter method, find
(i) 3246 + 9999
(ii) 7501 + 99999
(iii) 5377 – 999
(iv) 25718 – 9999
(v) 123 × 999
(vi) 203 × 9999
Solution:

Question 2.
Without using a diagram, find
(i) 9th square number
(ii) 7th triangular number
Solution:

Question 3.
(i) Can a rectangular number be a square number?
(ii) Can a triangular number be a square number?
Solution:

Question 4.
Observe the following pattern and fill in the blanks:
1 × 9 + 1 = 10
12 × 9 + 2= 110
123 × 9 + 3 = 1110
1234 × 9 + 4 = ……….
12345 × 9 + 5 = …………..
Solution:

Question 5.
Observe the following pattern and fill in the blanks:
9 × 9 + 7 = 88
98 × 9 + 6 = 888
987 × 9 + 5 = 8888
9876 x 9 + 4 = …………
98765 × 9 + 3 = ……….
Solution:

ML Aggarwal Class 6 Solutions Chapter 2 Whole Numbers Ex 2.2 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 2 Whole Numbers Ex 2.2

Question 1.
Fill in the blanks to make each of the following a true statement:
(i) 378 + 1024 = 1024 + …….
(ii) 337 + (528 + 1164) = (337 + ……..) + 1164
(iii) (21 + 18) + ……….. = (21 + 13) + 18
(iv) 3056 + 0 = ……….. = 0 + 3056
Solution:

Question 2.
Add the following numbers and check by reversing the order of addends :
(i) 3189 + 53885
(ii) 33789 + 50311.
Solution:

Question 3.
By suitable arrangements, find the sum of:
(i) 311,528,289
(ii) 723, 834, 66, 277
(iii) 78, 203, 435, 7197, 422.
Solution:

Question 4.
Fill in the blanks to make each of the following a true statement:
(i) 375 × 57 = 57 × ……….
(ii) (33 × 16) × 25 = 33 × (…….. × 25)
(iii) 37 × 24 = 37 × 18 + 37 × …………
(iv) 7205 × 1 = …………. = 1 × 7205
(v) 366 × 0 =
(vi) …………… × 579 = 0
(vii) 473 × 108 = 473 × 100 + 473 × ………….
(viii) 684 × 97 = 684 × 100 – …………… × 3
(ix) 0 ÷= 5 =
(x) (14 – 14) ÷ 7 = ………….
Solution:

Question 5.
Determine the following products by suitable arrangement:
(i) 4 × 528 × 25
(ii) 625 × 239 × 16
(iii) 125 × 40 × 8 × 25
Solution:

Question 6.
Find the value of the following:
(i) 54279 × 92 + 54279 × 8
(ii) 60678 × 262 – 60678 × 162
Solution:

Question 7.
Find the following products by using suitable properties:
(i) 739 × 102
(ii) 1938 × 99
(iii) 1005 × 188
Solution:

Question 8.
Divide 7750 by 17 and check the result by division algorithm.
Solution:

Question 9.
Find the number which when divided by 38 gives the quotient 23 and remainder 17.
Solution:

Question 10.
Which least number should be subtracted from 1000 so that the difference is exactly divisible by 35.
Solution:

Question 11.
Which least number should be added to 1000 so that 53 divides the sum exactly.
Solution:

Question 12.
Find the largest three-digit number which is exactly divisible by 47.
Solution:

Question 13.
Find the smallest five-digit number which is exactly divisible by 254.
Solution:

Question 14.
A vendor supplies 72 litres of milk to a student’s hostel in the morning and 28 litres of milk in the evening every day. If the milk costs?39 per litre, how much money is due to the vendor per day?
Solution:

Question 15.
State whether the following statements are true (T) or false (F):
(i) If the product of two whole numbers is zero, then atleast
one of them will be zero.
(ii) If the product of two whole numbers is 1, then each of
them must be equal to 1.
(iii) If a and b are whole numbers such that a ≠ 0 and b ≠ 0,
then ab may be zero.
Solution:

Question 16.
Replace each * by the correct digit in each of the following:

Solution:

ML Aggarwal Class 6 Solutions Chapter 2 Whole Numbers Ex 2.1 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 2 Whole Numbers Ex 2.1

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

Question 2.
Write the successor of each of the following numbers:
(i) 3999
(ii) 378915
(iii) 5001299
Solution:

Question 3.
Write the predecessor of each of the following numbers:
(i) 500
(ii) 38794
(iii) 54789011
Solution:

Question 4.
Write the whole number (in each of the following) whose successor is :
(i) 50795
(ii) 720300
(iii) 8300000
Solution:

Question 5.
Write the whole number (in each of the following) whose predecessor is:
(i) 5347
(ii) 72399
(iii) 3012999
Solution:

Question 6.
Write next three consecutive whole numbers of the following numbers:
(i) 79
(ii) 598
(iii) 35669
Solution:

Question 7.
Write three consecutive whole numbers occuring just before 320001.
Solution:

Question 8.
(i) How many whole numbers are there between 38 and 68?
(ii) How many whole numbers are there between 99 and 300?
Solution:

Question 9.
Write all whole numbers between 100 and 200 which do not change if the digits are written in reverse order.
Solution:

Question 10.
How many 2-digit whole numbers are there between 5 and 92?
Solution:

Question 11.
How many 3-digit whole numbers are there between 72 and 407?
Solution:

ML Aggarwal Class 6 Solutions Chapter 1 Knowing Our Numbers Check Your Progress 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 Check Your Progress

Question 1.
Write the numeral for each of the following numbers and insert commas correctly:
(i) Six crore nine lakh forty seven.
(ii) One hundred four million seven hundred twenty two thousand three hundred ninety four.
Solution:

Question 2.
Insert commas suitably and write the numebr 30189301 in words in Indian and International system of numeration.
Solution:

Question 3.
Find the difference between the place value and the face value of the digit 6 in the number 72601.
Solution:

Question 4.
Write all possible two-digit number using the digits 4 and 0. repetition of digits is allowed.
Solution:

Question 5.
Write all possible natural numbers using the digits 7, 0, 6. Repetition of digits is not allowed.
Solution:

Question 6.
Arrange the following numbers in ascending order:
3706, 58019, 3760, 59801, 560023
Solution:

Question 7.
Write the greatest six-digit number using four different digits.
Solution:

Question 8.
Write the smallest eight-digit number using four different digits.
Solution:

Question 9.
Find the difference between the greatest and the smallest 4-digit numbers formed by the digits 0, 3, 6, 9.
Solution:

Question 10.
Find the sum of the four-digit greatest number and the five-digit smallest number, each number having three different digits.
Solution:

Question 11.
Write the greatest and the smallest four-digit numbers using four different digits with the conditions as given:
(i) Digit 3 always at hundred’s place.
(ii) Digit 0 always at ten’s place.
Solution:

Question 12.
A mobile number consists of ten digits. First four digits are 9, 9, 7 and 9. Make the smallest mobile number by using only one digit twice from the digits 8, 3, 5, 0, 6.
Solution:

Question 13.
Two stitch a uniform, 1 m 75 cm cloth is needed. Out of 153 m cloth, how many uniforms can be stitched and how much cloth will remain?
Solution:

Question 14.
Medicine is packed in boxes, each weighing 4 kg 500 g. How many such boxes can be loaded in a van which cannot carry beyond 800 kg?
Solution:

Question 15.
Estimate : 6554 – 677 by estimating the numbers to their nearest
(i) thousands
(ii) hundreds
(iii) greatest places
Also point out the most reasonable estimate.
Solution:

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: