ICSE

ML Aggarwal Class 6 Solutions Chapter 2 Whole 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 2 Whole Numbers Objective Type Questions

Mental Maths
Question 1.
Fill in the blanks:
(i) A whole number is less than all those whole numbers that lie to its on the number line.
(ii) One more than a given whole is called its
(iii) There is atleast one whole number between two whole numbers.
(iv) 738 × 335 = 738 x (300 + 30 + ……..)
(v) If a is a non-zero whole number and a × a = a, then a = ……..
(vi) …….. is the only whole number which is not a natural number.
(vii) The additive identity in whole numbers is …….
Solution:

Question 2.
State whether the following statements are true (T) or false (F):
(i) The predecessor of a 3-digit number is always a 3-digit number.
(ii) The successor of a 3-digit number is always a 3-digit number.
(iii) If a is any whole number, then a + a = 1.
(iv) If a is any non-zero whole number, then 0 ÷ a = 0.
(v) On adding two different whole numbers, we always get a natural number.
(vi) Between two whole numbers there is a whole number.
(vii) There is a natural number which when added to a natural number, gives that number.
(viii) If the product of two whole numbers is zero, then atleast one of them is zero.
Solution:

Multiple Choice Questions
Choose the correct answer from the given four options (3 to 16):
Question 3.
The whole number which does not have a predecessor in whole number system is
(a) 0
(b) 1
(c) 2
(d) none of these
Solution:

Question 4.
The predecessor of the smallest 4-digit number is
(a) 99
(b) 999
(c) 1000
(d) 1001
Solution:

Question 5.
The predecessor of 1 million is
(a) 9999
(b) 99999
(c) 999999
(d) 1000001
Solution:

Question 6.
The product of the predecessor and the successor of the greatest 2-digit number is
(a) 9900
(b) 9800
(c) 9700
(d) none of these
Solution:

Question 7.
The sum of the successor of the greatest 3-digit number and the predecessor of the smallest 3-digit number is
(a) 1000
(b) 1100
(c) 1101
(d) 1099
Solution:

Question 8.
The number of whole numbers between 22 and 54 is
(a) 30
(b) 31
(c) 32
(d) 42
Solution:

Question 9.
The number of whole numbers between the smallest whole number and the greatest 2-digit number is
(a) 100
(b) 99
(b) 98
(d) 88
Solution:

Question 10.
If a is a whole number such that a + a = a, then a is equal to
(a) 0
(b) 1
(c) 2
(d) none of these
Solution:

Question 11.
The value of (93 × 63 + 93 × 37) is
(a) 930
(b) 9300
(c) 93000
(d) none of these
Solution:

Question 12.
Which of the following is not equal to zero?
(a) 0 × 5
(b) 0 = 5
(c) (10 – 10) + 5
(d) (5 – 0) + 5
Solution:

Question 13.
Which of the following statement is true?
(a) 21 – (13 – 5) = (21 – 13) – 5
(b) 21 – 13 is not a whole number
(c) 21 × 1 = 21 × 0
(d) 13 – 21 is not a whole number
Solution:

Question 14.
Which of the following statement is not true?
(a) Zero is the identity for multiplication of whole numbers.
(b) Addition and multiplication both are commutative for whole numbers.
(c) Addition and multiplication both are associative for whole numbers.
(d) Multiplication is distributive over addition for whole numbers.
Solution:

Question 15.
On dividing a number by 9 we get 47 as quotient and 5 as remainder. The number is
(a) 418
(b) 428
(c) 429
(d) none of these
Solution:

Question 16.
By using dot (•) pattern, which of the following numbers can be arranged in two ways namely a triangle and a rectangle?
(a) 12
(b) 11
(c) 10
(d) 9
Solution:

Higher Order Thinking Skills (HOTS)
Question 1.
The height of a slippery pole is 10 m and an insect is trying to climb the pole. The insect climbs 5 m in one minute and then slips down by 4 m. In how much time will insect reach the top?
Solution:

Question 2.
Which is greater, the sum of first twenty whole numbers or the product of first twenty whole numbers?
Solution:

Question 3.
If a whole number is divisible by 2 and 4, is it divisible by 8 also?
Solution:

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: