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Playing With Numbers

    Exercise 3.2

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6th class > Playing With Numbers > Exercise 3.2

Exercise 3.2

1. What is the sum of any two Numbers.

Instructions

1+3
2+4
3+3
15+1
10+3
12+5
7+8
9+3
1+4
5+3
Odd
Even

2. State whether the following statements are True or False.

Instructions

The sum of three odd numbers is even.
The sum of two odd numbers and one even number is even.
The product of three odd numbers is odd.
If an even number is divided by 2, the quotient is always odd.
All prime numbers are odd.
Prime numbers do not have any factors.
Sum of two prime numbers is always even.
2 is the only even prime number.
All even numbers are composite numbers.
The product of two even numbers is always even.
True
False

3. The numbers 13 and 31 are prime numbers Both these numbers have same digits 1 and 3.Find such pairs of prime numbers upto 100.

Instructions

Prime numbers are the numbers which have only two factors, the number itself and 1.
There are a total of such pairs of numbers between 1 to 100.
These two pairs are: (1) and (2) and .
Therefore, we have 2 pairs 37,73, and 79,97.

4. Write down separately the prime and composite numbers less than 20

Instructions

Prime numbers are the numbers which have only two factors, the number itself and 1.
Prime Numbers between 1 and 10 are 2, , , .
And from 10 to 20 , , , .
Composite Numbers between 1 and 10 are , 6, , , 10.
And from 10 to 20 , , 15, , .

5. What is the greatest prime number between 1 and 10?

Instructions

Prime Numbers from 1 to 10 , , , .
The greatest prime number in this range is .

6. Express the following as the sum of two odd primes

Instructions

7. Give three pairs of prime numbers whose difference is 2 (the prime numbers should be less than 20).

Hint:Two prime numbers whose difference is 2 are called twin primes.

Example:[3,5]

1.(,)

2.(,)

3.(,)

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

90's series: ,, , ,, ,

9. Express each of the following numbers as the sum of three odd primes.

Instructions

10. Write five pairs of prime numbers less than 20 whose sum is divisible by 5.

2 + =

+ 13 =

3 + =

5 + =

+ = 20

11. Fill in the blanks :

(a) A number which has only two factors is called a number.

(b) A number which has more than two factors is called a number.

(c) 1 is neither nor .

(d) The smallest prime number is .

(e) The smallest composite number is .

(f) The smallest even number is .