6th Standard Syllabus & Materials
6th Standard
Tamilnadu 6th Standard Tamil இயல் 3 - எல்லாரும் இன்புற - பெயர்ச்சொல் Important Questions And Answers Study Material - QB365 Set B
NEW6th Standard
Tamilnadu 6th Standard Tamil இயல் 3 - எல்லாரும் இன்புற - பெயர்ச்சொல் Important Questions And Answers Study Material - QB365 Set A
NEW6th Standard
Tamilnadu 6th Standard Tamil இயல் 2 - கூடித் தொழில் செய் - சுட்டு எழுத்துகள், வினா எழுத்துகள் Important Questions And Answers Study Material - QB365 Set B
NEW6th Standard
Tamilnadu 6th Standard Tamil இயல் 2 - கூடித் தொழில் செய் - சுட்டு எழுத்துகள், வினா எழுத்துகள் Important Questions And Answers Study Material - QB365 Set A
NEW6th Standard
Tamilnadu 6th Standard Tamil பருவம் 1 - இயல் 1 - மொழி -தமிழ்த்தேன் - இன்பத்தமிழ் Important Questions And Answers Study Material - QB365
NEW6th Standard
Tamilnadu 6th Standard Social Science T3 - குடிமையியல் - உள்ளாட்சி அமைப்பு - ஊரகமும் நகர்ப்புறமும் Important Questions And Answers Study Material - QB365 Set B
Published on: 20/08/2019
Numbers
Download Tamil Nadu 6th Standard Maths question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.
Questions + Answers key
Take MCQ Maths Test1.
The sum of any three odd natural numbers is odd. Justify this statement with an example.
2.
Write the smallest and the biggest three digit composite number.
3.
Write the smallest and the biggest two digit prime number.
4.
Express 31 and 55 as the sum of any three odd primes.
5.
Express 42 and 100 as the sum of two consecutive primes.
6.
The least number that should be added to 57 so that the sum is exactly divisible by 2, 3, 4 and 5 is ______________
7.
The LCM of 26, 39 and 52 is ____________
8.
If the LCM of 3 and 9 is 9, then their HCF is _______________
9.
The HCF of 45 and 75 is ___________
10.
The number of distinct prime factors of the smallest 4 digit number is ___________
11.
The HCF of two numbers is 2 and their LCM is 154. If the difference between the numbers is 8, then the sum is
26
36
46
56
12.
Which of the following pairs is co-prime?
51, 63
52, 91
71, 81
81, 99
13.
The number 87846 is divisible by
2 only
3 only
11 only
all of these
14.
If the number 6354 * 97 is divisible by 9, then the value * is
2
4
6
7
15.
The prime factorisation of 60 is 2 \(\times\) 2 \(\times\) 3 \(\times\) 5. Any other number which has the same prime factorisation as 60 is
30
120
90
impossible
16.
There are four Mobile Phones in a house. At 5 a.m, all the four Mobile Phones will ring together. Thereafter, the first one rings every 15 minutes, the second one rings every 20 minutes, the third one rings every 25 minutes and the fourth one rings every 30 minutes. At what time, will the four Mobile Phones ring together again?
17.
Find the HCF of the numbers 18, 24 and 30 by factor tree method.
18.
Find the length of the longest rope that can be used to measure exactly the ropes of length 1m 20cm, 3m 60cm and 4m.
19.
The LCM of two numbers is 432 and their HCF is 36. If one of the numbers is 108, then find the other number.
20.
What is the smallest 5 digit number that is exactly divisible by 72 and 108?
21.
Find the smallest number that can be divided by 254 and 508 which leaves the remainder 4.
22.
Find the ratio of the HCF and the LCM of the numbers 18 and 30.
23.
The number of distinct prime factors of 105 is 3.
24.
16254 is divisible by each of 2, 3, 6 and 9.
25.
If a number is divisible by 6, then it must be divisible by 3.
26.
Every natural number is either prime or composite
27.
The sum of any number of odd numbers is always even
1.
Let 3 odd natural numbers are 3, 7 and 9.
Sum = 3 + 7 + 9 = 19 is odd.
This statement is true.
2.
The smallest 3 digit composite number = 100
The biggest three digit composite number = 999
3.
The Smallest two digit prime number = 11
The Biggest two digit prime number = 97
4.
31 = 5+7+19 (find another way, if possible)
55 = 3 + 23+29
5.
42 = 19+23;
100 = 47+53
6.
3
7.
156
8.
3
9.
15
10.
( )
2
11.
(b)
36
12.
(c)
71, 81
13.
(d)
all of these
14.
(a)
2
15.
(d)
impossible
16.
This is a LCM related sum. So, we need to find the LCM of 15, 20, 25 and 30.
The LCM of 15, 20, 25 and 30 is 2 \(\times\) 2 \(\times\) 3 \(\times\) 5 \(\times\) 5
= 300 minutes = 5 \(\times\) 60 minutes = 5 \(\times\) 1 hour = 5 hours
Thus, the four Mobile Phones will ring together again at 10.00 a.m.
17.
Let us find the factors of 18, 24 and 30 (use of divisibility test rules will also help).
The factors of 18 are 
9 and 18.
The factors of 24 
8, 12 and 24.
The factors of 30 are 
10, 15 and 30.
The factors that are common to all the three given numbers are 1, 2, 3 and 6 of which 6 is the highest.
Hence, HCF (18, 24, 30) = 6.
Note that 1 is a trivial factor of all numbers.
Let us find the factors of 24 by tree method.
Here, 24 = 2 \(\times\) 2 \(\times\) 2 \(\times\) 3
Similarly, we can find the factors of 18 and 30.
18.
Given statement
The ropes of length 1 m 20 cm, 3 m 60 cm and 4 m.
1 m 20 cm = 120 cm, 3 m 60 cm = 360 cm and 4 m = 400 cm
To find the length of the longest rope.
HCF = \(5 \times 2 \times 2 \times 2\) = 40
Therefore the length of the longest rope = 40 cm.
19.
We know that, the product of the two numbers = LCM \(\times\) HCF
108 \(\times\) (the other number) = 432 \(\times\) 36
The other number = (432 \(\times\) 36) \(\div \) 108 = 144
20.
First let us find the LCM of 72 and 108 (by division method).
LCM of 72 and 108 = 2 \(\times\) 2 \(\times\) 2 \(\times\) 3 \(\times\) 3 \(\times\) 3 = 216
Now, all multiples of 216 will also be common multiples of 72 and 108.
The smallest 5 digit number = 10,000.
Now, 10,000 \(\div \) 216 gives quotient as 46 and remainder as 164.
Hence the next multiple of 216 i.e., 216 \(\times\) 47 = 10,152 is the required smallest 5 digit number that is exactly divisible by 72 and 108.
21.
All common multiples of 254 and 508 will be divisible by both the numbers. Let us find the LCM of 254 and 508 (by division method).
LCM of 254, 508 = 2 \(\times\) 2 \(\times\) 127 = 508
Thus, 508 is the smallest common number that is divisible by 254 and 508. Now, as we need remainder 4 while dividing, the required number is 4 more than the LCM and so, the required number is 508 + 4 =512.
22.
Now, 18 = 2 \(\times\) 3 \(\times\) 3 and 30 = 2 \(\times\) 3 \(\times\) 5
and their HCF is 2 \(\times\) 3 = 6 and LCM is 2 \(\times\) 3 \(\times\) 3 \(\times\) 5 = 90
Hence, HCF : LCM = 6 : 90 = 1 : 15
23.
(a)
24.
(a)
25.
(a)
26.
(b)
27.
(b)
6th Standard Syllabus & Materials
6th Standard
Tamilnadu 6th Standard Social Science T3 - குடிமையியல் - உள்ளாட்சி அமைப்பு - ஊரகமும் நகர்ப்புறமும் Important Questions And Answers Study Material - QB365 Set A
NEW6th Standard
Tamilnadu 6th Standard Social Science T3 - குடிமையியல் - மக்களாட்சி Important Questions And Answers Study Material - QB365 Set B
NEW6th Standard
Tamilnadu 6th Standard Social Science T3 - குடிமையியல் - மக்களாட்சி Important Questions And Answers Study Material - QB365 Set A
NEW6th Standard
Tamilnadu 6th Standard Social Science T3 - புவியியல் - பேரிடரைப் புரிந்து கொள்ளுதல் Important Questions And Answers Study Material - QB365 Set B
Tamilnadu Stateboard 6th Standard Subjects
Tamilnadu Stateboard Standards
