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Published on: 20/09/2019
Playing with Numbers
Download CBSE Class 6th Standard CBSE Mathematics question papers, sample papers, important questions, and previous year solved papers in PDF format. Get free study materials, NCERT solutions, and exam preparation resources for Class 6th Standard CBSE Mathematics
Questions + Answers key
Take MCQ Mathematics Test
1.
Try this for the numbers (a) 8 (b) 12
2.
Three measuring rods are 45cm, 50cm and 75cm in length. What is least length (in m) of a rope that can be measured by the full length of each of these three rods?
3.
Find the least number of five digits that is exactly divisible by 16, 18, 24 and 30.
4.
Give the prime factorisation of each of the following number: 2907
5.
Give the prime factorisation of each of the following number: 4335
6.
In each of the following numbers, replace * by the smallest number to make it divisible by 9. 2*135
7.
In each of the following numbers, replace * by the smallest number to make it divisible by 9. 65*5
8.
Find the HCF of the following numbers, using division method. 58,70
9.
Find the HCF of the following numbers using prime factorisation method 72,108,180
10.
Express each of the following as the sum of three odd prime numbers. 49
11.
Find the LCM of 15 and 20.
12.
Using divisibility tests, determine the following number is divisible by 6? 17852
13.
Using divisibility tests, determine the following number is divisible by 6? 639210.
14.
Using divisibility tests, determine the following number is divisible by 6? 297144
15.
Write five pairs of prime numbers less than 20, whose sum is divisible by 5.
1.
(a) Factor Tree for 8
(b) Factor Tree for 12
2.
4.5 m
3.
10080
4.
32 x 17 x 19
5.
3 x 5 x 172
6.
7
7.
2
8.
For the HCF of 58, 70.
\(\therefore\) HCF of 58 and 70 is 2.
9.
HCF = 2 x 2 x 3 x 3 = 36
10.
49 = 3 + 5 + 41
11.
For finding the LCM of 15 and 20, we use division method.
LCM of 15 and 20 = 5 x 3 x 4 = 60
12.
17852 is not divisible by 6.
13.
639210 is divisible by 6.
14.
We have, 297144
(i) Divisibility by 2
\(\because\)Unit digit of number = 4, so 297144 is divisible by2.
(ii) Divisibility by 3
Sum of digits of given number = 2 + 9 + 7 + 1+ 4 + 4 = 27
\(\because\) 27 is divisible by 3, so 297144 is also divisible by 3.
Now, we see that 297144 is divisible by 2 and 3 both.
Hence, it is divisible by 6.
15.
Prime numbers less than 20 are 2, 3, 5, 7, 11, 13, 17 and 19.
Here,
2 + 3 = 5 (divisible by 5)
2 + 13 = 15 (divisible by 5)
3 + 7 = 10 (divisible by 5)
3 + 17 = 20 (divisible by 5)
7 + 13 = 20 (divisible by 5)
Hence, five pairs of prime numbers, whose sum is divisible by 5 are
(i) 2, 3 (ii) 2, 13 (iii) 3, 7 (iv) 3,17 (v) 7, 13
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CBSE 6th Standard CBSE Subjects
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