Samacheer Kalvi solutions for Mathematics - Term 2 [English] Class 6 TN Board chapter 1 - Numbers [Latest edition]

The number of prime numbers between 11 and 60 is _________

The numbers 29 and ________ are twin primes

3753 is divisible by 9 and hence divisible by _________

The number of distinct prime factors of the smallest 4 digit number is __________

The sum of distinct prime factors of 30 is ________

The sum of any number of odd numbers is always even

Every natural number is either prime or composite

If a number is divisible by 6, then it must be divisible by 3

16254 is divisible by each of 2, 3, 6 and 9

The number of distinct prime factors of 105 is 3

Write the smallest and the biggest two digit prime number

Write the smallest and the biggest three digit composite number

The sum of any three odd natural numbers is odd. Justify this statement with an example

The digits of the prime number 13 can be reversed to get another prime number 31. Find if any such pairs exist upto 100

Your friend says that every odd number is prime. Give an example to prove him/her wrong

Each of the composite numbers has atleast three factors. Justify this statement with an example.

Find the dates of any month in a calendar which are divisible by both 2 and 3.

I am a two digit prime number and the sum of my digits is 10. I am also one of the factors of 57. Who am I?

Find the prime factorisation number by factor tree method and division method.

60

Find the prime factorisation number by factor tree method and division method.

128

Find the prime factorisation number by factor tree method and division method.

144

Find the prime factorisation number by factor tree method and division method.

198

Find the prime factorisation number by factor tree method and division method.

420

Find the prime factorisation number by factor tree method and division method.

999

If there are 143 math books to be arranged in equal numbers in all the stacks, then find the number of books in each stack and also the number of stacks.

The difference between two successive odd numbers is

The only even prime number is

Which of the following numbers is not a prime?

The sum of the factors of 27 is

The factors of a number are 1, 2, 4, 5, 8, 10, 16, 20, 40 and 80. What is the number?

The prime factorisation of 60 is 2 × 2 × 3 × 5. Any other number which has the same prime factorisation as 60 is

If the number 6354*97 is divisible by 9, then the value of * is

The number 87846 is divisible by

The HCF of 45 and 75 is _________

The HCF of two successive even numbers is __________

If the LCM of 3 and 9 is 9, then their HCF is __________

The LCM of 26, 39 and 52 is _________

The least number that should be added to 57 so that the sum is exactly divisible by 2, 3, 4 and 5 is __________

The numbers 57 and 69 are co-primes

The HCF of 17 and 18 is 1

The LCM of two successive numbers is the product of the numbers

The LCM of two co-primes is the sum of the numbers

The HCF of two numbers is always a factor of their LCM 

Find the HCF set of numbers using prime factorisation method.

18, 24

Find the HCF set of numbers using prime factorisation method.

51, 85

Find the HCF set of numbers using prime factorisation method.

61, 76

Find the HCF set of numbers using prime factorisation method.

84, 120

Find the HCF set of numbers using prime factorisation method.

27, 45, 81

Find the HCF set of numbers using prime factorisation method.

45, 55, 95

Find the LCM set of numbers using prime factorisation method.

6, 9

Find the LCM set of numbers using prime factorisation method.

8, 12

Find the LCM set of numbers using prime factorisation method.

10, 15

Find the LCM set of numbers using prime factorisation method.

14, 42

Find the LCM set of numbers using prime factorisation method.

30, 40, 60

Find the LCM set of numbers using prime factorisation method.

15, 25, 75

Find the HCF and the LCM of the numbers 154, 198 and 286

What is the greatest possible volume of a vessel that can be used to measure exactly the volume of milk in cans (in full capacity) of 80 litres, 100 litres and 120 litres?

The traffic lights at three different road junctions change after every 40 seconds, 60 seconds and 72 seconds respectively. If they changed simultaneously together at 8 a.m at the junctions, at what time will they simultaneously change together again?

The LCM of two numbers is 210 and their HCF is 14. How many such pairs are possible?

The LCM of two numbers is 6 times their HCF. If the HCF is 12 and one of the numbers is 36, then find the other number

Which of the following pairs is co-prime?

The greatest four-digit number which is exactly divisible by 8, 9 and 12 is

The HCF of two numbers is 2 and their LCM is 154. If the difference between the numbers is 8, then the sum is

Which of the following cannot be the HCF of two numbers whose LCM is 120?

Every even number greater than 2 can be expressed as the sum of two prime numbers. Verify this statement for every even number upto 16

Is 173 a prime? Why?

For which of the numbers, from n = 2 to 8, is 2n − 1 a prime?

State true or false and explain your answer with reason for the following statement.

A number is divisible by 9, if it is divisible by 3

State true or false and explain your answer with reason for the following statement.

A number is divisible by 6, if it is divisible by 12

Find A as required:

The greatest 2 digit number 9A is divisible by 2

Find A as required:

The least number 567A is divisible by 3

Find A as required:

The greatest 3 digit number 9A6 is divisible by 6

Find A as required:

The number A08 is divisible by 4 and 9

Find A as required:

The number 225A85 is divisible by 11

Numbers divisible by 4 and 6 are divisible by 24. Verify this statement and support your answer with an example

The sum of any two successive odd numbers is always divisible by 4. Justify this statement with an example

Find the length of the longest rope that can be used to measure exactly the ropes of length 1 m 20 cm, 3 m 60 cm and 4 m

The sum of three prime numbers is 80. The difference of two of them is 4. Find the numbers

Find the sum of all the prime numbers between 10 and 20 and check whether that sum is divisible by all the single digit numbers. 

Find the smallest number which is exactly divisible by all the numbers from 1 to 9

The product of any three consecutive numbers is always divisible by 6. Justify this statement with an example

Malarvizhi, Karthiga and Anjali are friends and natives of the same village. They work at different places. Malarvizhi comes to her home once in 5 days. Similarly, Karthiga and Anjali come to their homes once in 6 days and 10 days respectively. Assuming that they met each other on the 1^st of October, when will all the three meet again?

In an apartment consisting of 108 floors, two lifts A and B starting from the ground floor, stop at every 3^rd and 5^th floors respectively. On which floors, will both of them stop together?

The product of 2 two digit numbers is 300 and their HCF is 5. What are the numbers?

Find whether the number 564872 is divisible by 88. (use of the test of divisibility rule for 8 and 11 will help!)

Wilson, Mathan and Guna can complete one round of a circular track in 10, 15 and 20 minutes respectively. If they start together at 7 a.m from the starting point, at what time will they meet together again at the starting point?