**DIVISIBILITY RULES**

Mastering the fundamentals of mathematics is an important step in a child's education journey, and our range of class 6 Playing With Numbers worksheets offers an easy and interactive way to learn. These comprehensive worksheets come complete with answers, allowing children to practice and perfect their number skills at their own pace.

**Introduction to Number System and Place Value - Understand the structure of number system and basics of place value.**

Learning the basics of numbers and place value is essential for any student who wants to excel in math. With this class 6 worksheet, children can get a better understanding of the underlying mechanisms and structure of both number system and place value by solving several curated practice questions. With clear descriptions and examples, these practice questions can easily be solved by learners and help them gain a stronger understanding of number system fundamentals.

**Understanding Fractions - Learn how fractions are identified, compared, simplified and represented in different forms.**

Fractions are an important concept in mathematics, and one of the essential topics taught in class 6. In this worksheet, we provide a variety of questions that help students understand fractions and figure out how to compare them, simplify them, and represent fractions on number lines. Along with basic concepts, this worksheet helps learners gain more confidence and get more comfortable when dealing with fractional numbers.

**Multiplying Two-Digit Numbers - Practice multiplying two-digit numbers by single digit numbers with fun activities.**

Solve multiplication problems and use the two-digit multiplication chart to help you in this activity. From simple counting to using place value, these activities will help students practice their multiplication skills with two-digit numbers. Boost your understanding of how to solve for quotients with this module and see how easy it can be!

**Application of Operations on Numbeers - Put your learning into practice with real-life scenarios and special types of questions.**

This worksheet tests the application of Operations on Numbers, solving larger multi-digit dividend and divisor problems with long division method. It also presents practical problems related to calculating area, volume and circumference of a circle, along with percentage and time calculations. With these questions, students can practice how to use their existing knowledge in order to solve day-to-day scenarios and make real-life decisions.

In today's world of education, playing with numbers class 6 worksheets have become an essential part of the learning process for children. These worksheets are designed to provide a fun and engaging way for students to grasp the core concepts of mathematics. From understanding basic arithmetic to solving more complex problems, playing with numbers class 6 worksheet offers a comprehensive and interactive learning experience for young minds. The playing with numbers class 6 worksheet with answers not only helps students practice their skills but also allows them to check their work and learn from any mistakes they may have made.

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One of the key concepts taught in class 6 maths playing with numbers is the order of operations or BODMAS. To help students master this topic, bodmas questions for class 6 worksheet provide targeted practice that focuses on this specific area. Apart from the standard number 6 worksheet, teachers and parents can also use class 6 math playing with numbers worksheets to cover other essential topics.

For younger students, fun with numbers class 3 worksheets with answers are available to introduce them to basic math concepts. These worksheets can be used alongside lcm questions for class 6th and division worksheet for class 6 to provide a well-rounded learning experience. Playing with number worksheets is an excellent way to help students understand the importance of mathematics in everyday life and develop a love for the subject.

The lcm word problems for class 6 provide a more advanced practice for students who have already mastered the basic concepts. Additionally, fun with numbers class 3 worksheet and class 8 maths playing with numbers worksheets can be used to cater to the diverse needs of students in different grades. Fun with numbers class 3 worksheets are designed to make learning enjoyable for younger students, while more advanced concepts are introduced in the playing with numbers class 6th and division questions for class 6 worksheets.

Teachers and parents can use playing with numbers class 6 solution worksheets to help students understand the step-by-step process of solving problems. These solutions can be used in conjunction with playing with numbers class 6 questions and answers worksheets to provide a comprehensive learning experience. The number 6 worksheets are designed to cater to students of all abilities, ensuring that every child has the opportunity to succeed in their mathematical journey.

In conclusion, playing with numbers worksheets are an invaluable resource for students, teachers, and parents alike. They offer a fun and engaging way to learn and practice essential math concepts. Whether you are looking for a class 6 maths playing with numbers worksheet or a fun with numbers class 3 worksheets, there is something available for every student's needs. So, make sure to incorporate these worksheets into your child's learning routine to help them build a strong foundation in mathematics.

**Playing With Numbers Class 6 extra sums with solution**

- Extra Sum 1:

**Find the LCM and HCF of 48 and 60 using the prime factorization method.**

Solution:

Prime factors of 48: 2 × 2 × 2 × 2 × 3Prime factors of 60: 2 × 2 × 3 × 5

LCM (48, 60) = 2 × 2 × 2 × 2 × 3 × 5 = 240HCF (48, 60) = 2 × 2 × 3 = 12

So, the LCM of 48 and 60 is 240, and the HCF is 12.

- Extra Sum 2:

**Solve the given BODMAS expression: 24 ÷ 6 × 2 + 8 – 4**

Solution:

According to the BODMAS rule, we solve the expression in the following order: Brackets, Orders (exponents and roots),

Division, Multiplication, Addition, and Subtraction.

24 ÷ 6 × 2 + 8 – 4

Step 1: Division4 × 2 + 8 – 4

Step 2: Multiplication8 + 8 – 4

Step 3: Addition16 – 4

Step 4: Subtraction12

The result of the expression is 12.

- Extra Sum 3:

**Determine the smallest 4-digit number that is divisible by 6, 8, and 10.**

Solution:

To find the smallest 4-digit number divisible by 6, 8, and 10, we first need to find the LCM of these numbers.

LCM (6, 8, 10) = 2 × 2 × 2 × 3 × 5 = 120

Now, we will find the smallest 4-digit multiple of 120:

120 × 8 = 960 (a 3-digit number)120 × 9 = 1080 (a 4-digit number)

Thus, the smallest 4-digit number that is divisible by 6, 8, and 10 is 1080.

**Important Sums with solution on playing with numbers **

**Question: Find the HCF of 36 and 48.**

Solution:

Prime factors of 36: 2 × 2 × 3 × 3Prime factors of 48: 2 × 2 × 2 × 2 × 3

HCF (36, 48) = 2 × 2 × 3 = 12

The HCF of 36 and 48 is 12.

**Question: Solve the expression using the BODMAS rule: 3 × (4 + 2) – 8 ÷ 2**

Solution:

According to the BODMAS rule:

3 × (4 + 2) – 8 ÷ 2

Step 1: Brackets3 × 6 – 8 ÷ 2

Step 2: Division3 × 6 – 4

Step 3: Multiplication18 – 4

Step 4: Subtraction14

The result of the expression is 14.

**Question: Find the LCM of 15, 20, and 30.**

Solution:

Prime factors of 15: 3 × 5Prime factors of 20: 2 × 2 × 5Prime factors of 30: 2 × 3 × 5

LCM (15, 20, 30) = 2 × 2 × 3 × 5 = 60

The LCM of 15, 20, and 30 is 60.

**Question: A number is divisible by both 3 and 5. What can be said about its divisibility by 15?**

Solution:

If a number is divisible by both 3 and 5, it means that the number has both 3 and 5 as its factors. Consequently, the number must also be divisible by the product of these two factors, which is 15. Therefore, the number is divisible by 15.

**Question: Simplify the expression: 5 × (3 + 4) – 3 × (7 – 4)**

Solution:

According to the BODMAS rule:

5 × (3 + 4) – 3 × (7 – 4)

Step 1: Brackets5 × 7 – 3 × 3

Step 2: Multiplication35 – 9

Step 3: Subtraction26

The result of the expression is 26.

FAQs

**What is the main concept taught in the "Playing with Numbers" chapter in NCERT Class 6 Mathematics?**

Answer: The main concept taught in the "Playing with Numbers" chapter is understanding factors, multiples, prime and composite numbers, and learning about divisibility rules, LCM, and HCF. The chapter also introduces the BODMAS rule for solving arithmetic expressions.

**What are the divisibility rules for numbers 2, 3, 4, 5, 6, and 9?**

Answer: The divisibility rules are as follows:

- 2: A number is divisible by 2 if its last digit is even (0, 2, 4, 6, or 8).
- 3: A number is divisible by 3 if the sum of its digits is divisible by 3.
- 4: A number is divisible by 4 if the number formed by its last two digits is divisible by 4.
- 5: A number is divisible by 5 if its last digit is either 0 or 5.
- 6: A number is divisible by 6 if it is divisible by both 2 and 3.
- 9: A number is divisible by 9 if the sum of its digits is divisible by 9.

**What is the BODMAS rule?**

Answer: The BODMAS rule is an acronym that stands for Bracket, Order, Division, Multiplication, Addition, and Subtraction. It is a rule followed to solve arithmetic expressions involving multiple operations. The BODMAS rule states that calculations must be performed in this order: first Brackets, then Orders (exponents and roots), followed by Division and Multiplication (from left to right), and finally Addition and Subtraction (from left to right).

**What are prime and composite numbers?**

Answer: A prime number is a natural number greater than 1 that has only two factors, 1 and itself. Examples include 2, 3, 5, 7, 11, and so on. A composite number is a natural number greater than 1 that has more than two factors. Examples include 4, 6, 8, 9, 10, and so on.

**What is the difference between LCM and HCF?**

Answer: LCM (Least Common Multiple) is the smallest multiple that two or more numbers have in common. It is the smallest number that is divisible by all the given numbers. HCF (Highest Common Factor) is the greatest factor that two or more numbers have in common. It is the largest number that divides all the given numbers without leaving a remainder.