Important questions for Class 6 Maths Playing With Numbers

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Question 1
Sort out even and odd numbers: 13, 28, 41, 99, 50, 255, 132, 664, 59, 29, 71, 165, 14 Answers

Even Numbers(Numbers divided by 2): 14,28,50,132,664
Odd Numbers( Numbers not divided by 2) : 13,29,41,59,71,99,165,255

Question 2
X completes one round of a running track in 8 minutes and Y completes it in 6 minutes. How long will it take for both to arrive at their starting point together, if they start at the same time and maintain their speed? Answers

This involves finding the LCM of 8 min and 6 min.
LCM = 24 min

70= 2 x 5 x7
105 = 5 x 3 x 7
175 = 5 x 5 x 7
HCF = 35

Question 4
Determine the smallest three-digit number which is exactly divisible by 6, 8 and 12. Answers

First we need to find the LCM of 6,8,12
LCM of 6,8,12 =24

Now multiple of 24 will be
24 ,48,72, 96,120,144
So smallest three digit number will be 120

Question 5
Find the prime factorization of 4900 Answers

4900 = 2 x 2 x 5 x5 x 7 x 7

Question 6
Find the L.C.M of the following by prime factorization method:
(i) 42, 63, 162
(ii) 42, 78, 104, 112
(iii) 16, 28, 40, 77
(iv) 112, 168, 22824. Answers

i. 1134
ii. 4368
iii. 6160
iv. 319536

Question 7
Write seven consecutive composite numbers less than 100 so that there is no prime number between them. Answers

90, 91, 92, 93, 94, 95 and 96 are seven consecutive numbers and there is no prime number between them.

Question 8
The length, breadth and height of a room are 825cm, 675cm and 450cm respectively. Find the longest tape which can measure the three dimensions of the room exactly. Answers

This involves finding the HCF of 825cm, 675cm and 450cm
HCF= 75 cm

Question 9
Using divisibility test, determine which of the following numbers are divisible by 2; by 3; by 4; by 5; by 6; by 8; by 9; by 10; by 11.

a.
16 =2 x 2 x 2 x2
48 = 2 x 2 x2 x2 x3
HCF=2 x 2 x 2 x2=16
b.
10= 2 x5
42= 2 x3 x7
HCF =2
c.
20=2 x 2 x 5
60 =2 x 2 x 3 x5
HCF =4
d.
18= 2 x 3 x 3
63 = 3 x 3 x 7
HCF =9
e.12
f. 4
g. 5
h. 7
i. 9
i. 1

Question 11
Fill in the blanks
a. Every multiple of a given number is greater than or equal to that ________.
b. The number _____ is the smallest prime number and is even.
c. HCF of 10 and 15 is _____.
d. First three multiples of 11 are ________.
e. The HCF of two co- prime numbers is __________.
f. The LCM of two co-prime numbers is __________.
g. If two given numbers are divisible by a number, then their _______ and ________also divisible by that number.
h. A number is divisible by ______, if it is divisible by both 3 and 6.
i. HCF of 11 and 44 is _____.
j. The numbers which are not multiple of 2 are called ________ numbers.
k. The numbers which are a multiple of 2 are called ______ numbers.
l. First two multiples of 8 are ________. Answers

(a)Number
(b) 2
(c) 5
(d) 11,22,33
(e) 1
(f) Product of numbers
(g) Sum and difference
(h) 2
(i) 11
(j) odd
(k) even
(l) 8,16

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