Worksheet Solutions: Playing with Numbers- 2

# Playing with Numbers- 2 Class 6 Worksheet Maths

Ques 1: Fill up the blanks:
(i) Write all even prime numbers __________.

Ans: 2

The only even prime number is 2. Other even numbers are divisible by 2 and hence not prime.

(ii) Number of factors of 2 are __________.

Ans: two (1 and 2)

Factors of a number are the numbers that divide it without leaving a remainder. For 2, the factors are 1 and 2.

(iii) Smallest pair of co-prime numbers is __________.

Ans: (2, 1)

Co-prime numbers are numbers that have no common factors other than 1. The smallest pair is (2, 1).

(iv) Smallest twin prime numbers are __________.

Ans: 3, 5

Twin prime numbers are prime numbers that have a difference of 2 between them. The smallest twin primes are 3 and 5.

(v) The largest 2-digit number which is odd and prime is __________.

Ans: 97

Prime numbers are numbers greater than 1 that have no divisors other than 1 and themselves. 97 is the largest prime number within the range of 2-digit odd numbers.

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

The smallest number divisible by 2, 3, 4, and 5 is their least common multiple (LCM), which is 60. No, we cannot find the largest number divisible by 2, 3, 4, and 5 because there is no upper limit to the set of numbers divisible by those factors.

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

Ques 4: Replace '*' by the smallest possible digit so that the following numbers are divisible by 3 and 9:
(i) *4129

Ans: 2

4129: The smallest digit to replace * so that the number is divisible by both 3 and 9 is 2.

(ii) 2*985

Ans: 3

2985: The smallest digit to replace * so that the number is divisible by both 3 and 9 is 3.

(iii) 987*32
Ans: 7

987*32: The smallest digit to replace * so that the number is divisible by both 3 and 9 is 7.

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

Ques 6: Find HCF of 15 m 60 cm and 20 m 16 cm.
Ans: The highest common factor (HCF) of the lengths 15 m 60 cm and 20 m 16 cm is 24 cm.

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

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

Ques 9: Find LCM of 18 and 15. Check if the LCM so obtained is divisible by 15 as well as 18.
Ans: The least common multiple (LCM) of 18 and 15 is 90, and yes, it is divisible by both 15 and 18.

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 6 Worksheet Maths is a part of the Class 6 Course Mathematics (Maths) Class 6.
All you need of Class 6 at this link: Class 6

## Mathematics (Maths) Class 6

134 videos|323 docs|42 tests

## FAQs on Playing with Numbers- 2 Class 6 Worksheet Maths

 1. What are some common strategies for playing with numbers?
Ans. Some common strategies for playing with numbers include mental math techniques, using number patterns, applying number properties, and exploring different number systems.
 2. How can playing with numbers improve mathematical skills?
Ans. Playing with numbers can improve mathematical skills by enhancing problem-solving abilities, promoting critical thinking, and developing a deeper understanding of mathematical concepts.
 3. Are there any online resources available for practicing number games and puzzles?
Ans. Yes, there are several online platforms and websites that offer a wide range of number games, puzzles, and activities to practice and enhance numerical skills.
 4. Can playing with numbers help in real-life applications outside of mathematics?
Ans. Yes, playing with numbers can improve analytical thinking, decision-making skills, and problem-solving abilities, which can be beneficial in various real-life scenarios such as budgeting, planning, and strategic decision-making.
 5. How can parents and educators incorporate number games into children's learning and development?
Ans. Parents and educators can incorporate number games into children's learning by using board games, card games, online resources, and interactive activities to make math learning fun and engaging.

## Mathematics (Maths) Class 6

134 videos|323 docs|42 tests

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