Worksheet Solutions: Playing with Numbers- 2

# Playing with Numbers- 2 Class 5 Worksheet EVS

Ques 1: Fill up the blanks:
(i) Write all even prime numbers __________.
(ii) Number of factors of 2 are __________.
(iii) Smallest pair of co-prime numbers is __________.
(iv) Smallest twin prime numbers are __________.
(v) The largest 2-digit number which is odd and prime is __________.
Ans: (i) 2
(ii) two (1 and 2)
(iii) (2, 1)
(iv) 3, 5
(v) 97

Ques 2: Find the smallest number which is divisible by 2, 3, 4, and 5. Can we find the largest number which is divisible by 2, 3, 4 and 5?
Ans: 60, No

Ques 3: Write the smallest 3-digit number which is exactly divisible by 6.
Ans: 102

Ques 4: Replace '*' by the smallest possible digit so that the following numbers are divisible by 3 and 9:
(i) *4129
(ii) 2*985
(iii) 987*32
Ans: (i) 2
(ii) 3
(iii) 7

Ques 5: Write the largest 3-digit number which is divisible by 11.
Ans: 990

Ques 6: Find HCF of 15 m 60 cm and 20 m 16 cm.
Ans: 24 cm

Ques 7: Find the least number which when divided by 25, 40 and 60 leave the remainder 7 in each case.
Ans: 607

Ques 8: Find HCF of 90 and 243. Check if it divides 90 and 243 both.
Ans: HCF = 9, yes

Ques 9: Find LCM of 18 and 15. Check if the LCM so obtained is divisible by 15 as well as 18.
Ans: LCM = 90, yes

Ques 10: Match the following:

 (i) HCF of two consecutive numbers (a) 4 (ii) LCM of two co-prime numbers (b) 97 (iii) HCF of two consecutive even numbers (c) 1 (iv) Smallest composite number (d) 2 (v) Largest 2-digit prime number (e) product of two numbers

Ans. (i) ↔ (c)
(ii) ↔ (e)
(iii) ↔ (d)
(iv) ↔ (a)
(v) ↔ (b)

The document Playing with Numbers- 2 Class 5 Worksheet EVS is a part of the Class 6 Course Mathematics (Maths) Class 6.
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## Mathematics (Maths) Class 6

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## FAQs on Playing with Numbers- 2 Class 5 Worksheet EVS

 1. What are the different types of numbers?
Ans. There are several types of numbers, including natural numbers (1, 2, 3...), whole numbers (0, 1, 2, 3...), integers (-3, -2, -1, 0, 1, 2, 3...), rational numbers (numbers that can be expressed as fractions), and irrational numbers (numbers that cannot be expressed as fractions).
 2. How can numbers be classified based on divisibility?
Ans. Numbers can be classified as even or odd. Even numbers are divisible by 2, while odd numbers are not. Additionally, numbers can be classified as prime or composite. Prime numbers have only two factors (1 and itself), while composite numbers have more than two factors.
 3. What is the significance of prime numbers in mathematics?
Ans. Prime numbers are of great significance in mathematics. They are the building blocks of all other numbers and have unique properties. For example, every composite number can be expressed as a product of prime numbers (prime factorization). Prime numbers are also extensively used in cryptography and computer science.
 4. How can numbers be represented on a number line?
Ans. Numbers can be represented on a number line, which is a straight line that includes all real numbers. The numbers increase as we move to the right and decrease as we move to the left. Each point on the number line corresponds to a unique number, and the distance between two points represents the difference between the two numbers.
 5. What are the properties of arithmetic operations on numbers?
Ans. Arithmetic operations on numbers have several properties. Addition and multiplication are commutative, which means changing the order of numbers does not affect the result. They are also associative, which means the grouping of numbers does not change the result. Additionally, addition and multiplication have identity elements (0 for addition, 1 for multiplication) and inverse elements (opposite numbers that add up to zero).

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