BODMAS Questions for Class 6 with Answers

Have you ever come across a Maths problem with brackets, powers, addition, subtraction, and more, all in a single sum? Well, at first, these can seem overwhelming and confusing, especially if you try to solve them in the order they appear. Fortunately, there’s a special rule to follow that helps you get the correct answer: the BODMAS rule. Thus, in this blog, we’ll cover what the BODMAS rule is, share BODMAS questions for class 6, and point out common mistakes to avoid.

What is BODMAS?

BODMAS is a rule that helps us solve mathematical expressions in the correct order. When an expression contains different operations like brackets, powers, division, multiplication, or addition, we can’t just solve it from left to right. So, BODMAS tells us the right sequence to follow so we always get the correct answer.

Thus, BODMAS stands for:

• B – bracket (round, square, and curly)
• O – order (power and roots)
• D – division 
• M – multiplication 
• A – addition 
• S – subtraction 

For example, let’s solve one of the easy BODMAS problems for class 6:

(2 × 3)² ÷ 3 

First, solve the expression inside the brackets:
2 × 3 = 6

Now the expression becomes:
6² ÷ 3

Next, solve the order which is (6²):
6² = 36

Now it becomes:
36 ÷ 3

Now divide:
36 ÷ 3 = 12

Answer: 12

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Why is BODMAS Important in Class 6 Maths?

As students are promoted to Class 6, they are introduced to sums that include multiple operations. Thus, learning the BODMAS rule beforehand helps them solve such sums accurately and score better in exams.  

So, here’s how understanding BODMAS rules with examples can help :

• Teaches the correct order of operations, preventing calculation errors.
• Lays the foundation for algebra, equations, and higher-level maths.
• Encourages clear, step-by-step problem solving.
• Builds confidence in solving BODMAS questions for class 6 and in higher classes. 

BODMAS Questions for Class 6 (Solved Examples)

To be able to solve BODMAS questions, it’s important to practise different types. So, let’s begin with some easy-level BODMAS questions for Class 6 with answers.

1.  8 + (4 × 3)

Solution: In BODMAS, the first step is B for Brackets. So, we solve the bracket first: 4 × 3 = 12.

Now, the expression becomes 8 + 12.

Next, we solve the A for addition: 8 + 12 = 20. 

           Answer = 20 

2. 9 × 2 + 6 ÷ 3

Solution: According to BODMAS, we start with D for division.

First, divide: 6 ÷ 3 = 2.

Then, multiply: 9 × 2 = 18. 

Finally, add: 18 + 2 = 20.

Answer = 20 

3. 12 – 3 × (2 + 4)

Solution: First, solve the B for brackets: 2 + 4 = 6.

Now the expression becomes 12 – 3 × 6.

Next, do M for multiplication: 3 × 6 = 18.

Finally, subtract: 12 – 18 = -6.

Answer = -6 

4. (5 + 3)² – 4 × 2

Solution: First solve, B for brackets: 5 + 3 = 8

Then go for Orders: 8² = 64

Then solve the M for multiplication: 4 × 2 = 8

Now subtract: 64 – 8 = 56

Answer = 56 

5.  36 ÷ (2 + 4) × (3² – 1)

Solution: Start with B for brackets:

First bracket → 2 + 4 = 6

Second bracket has an order inside: 3² = 9, then 9 – 1 = 8

Now the expression becomes: 36 ÷ 6 × 8

Next, divide and then multiply from left to right: 

36 ÷ 6 = 6, then 6 × 8 = 48

Answer = 48 

So, those were some simple BODMAS questions for Class 6 to get you started. Now it’s time to pull up your socks and solve some problems that include brackets. 

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BODMAS Questions for Class 6 with All Brackets

In BODMAS, B stands for brackets. They are of three types:

1. Round brackets ( ), also called parentheses
2. Square brackets [ ]
3. Curly brackets { }

You might feel confused when you see different types of brackets in the same sum, but don’t worry, there’s a simple trick to help you solve them. So, the rule is to start solving from the innermost bracket, moving from left to right.  And to make things easier, we’ve put together some BODMAS questions with brackets, along with their answers. You can go through each one to see how it’s solved step by step. Let’s get started!

1. BODMAS Questions for Class 6 with Round Brackets

Given below are 3 BODMAS questions for class 6 with answers having only round brackets for your understanding:

1. (9 × 2) ÷ (6 + 3) × (9 – 5)

Solution: First, solve the expressions inside the brackets:

(9×2) = 18 

(6+3) = 9

(9−5) = 4

Now, substitute these values back into the equation:

18 ÷ 9 × 4

Next, perform division and multiplication from left to right (BODMAS):

18 ÷ 9 = 2 

2 × 4 = 8

Answer = 8 

2. (18 ÷ 3) + (5 × (7 – 3)) – (8 ÷ 4)

Solution: First, solve the expressions inside the brackets:

(7−3) = 4

(18 ÷ 3) = 6

(8 ÷ 4) = 2

Now, substitute these values back into the equation:

6 + (5 × 4) −2

Next, perform multiplication within the bracket:

5 × 4 = 20

Now, solve the rest of the equation using BODMAS:

6 + 20 − 2

26 − 2 = 24

Answer: 24

3. ((8 + 2) × (5 ÷ (9 – 7))) – 3²

Solution: First, solve the expressions inside the innermost brackets:

(9 − 7) = 2

(8 + 2) = 10

3² = 9

Now, substitute these values back into the equation:

(10 × (5 ÷2 )) − 9

Next, solve the division inside the brackets:

5 ÷ 2 = 2.5

Substitute this value into the equation:

10 × 2.5 − 9

Now, perform the multiplication first as per BODMAS:

10 × 2.5 = 25

Finally, subtract:

25 − 9 = 16

Answer = 16

2. BODMAS Questions for Class 6 with Square Brackets

Given below are 3 BODMAS questions for class 6 with answers having only square brackets for your understanding:

1. 4 × [10 ÷ 2 + 1]

Solution: First solve the expression inside the bracket using BODMAS 

10 ÷ 2 = 5

Then add, 5 + 1 = 6

Multiply: 4 × 6 = 24

Answer = 24

2. [24 ÷ [3 + 1 × 2]]

Solution: First solve the innermost bracket using BODMAS 

1 × 2 = 2, 3+2 = 5

Next divide, 24 ÷ 5 = 4.8

Answer = 4.8 

3. [[[6 + 2] × [5 – 2]] + [8 ÷ 2]]

Solution: Solve all inner brackets, one by one using BODMAS 

6 + 2 = 8, 5-2 = 3, 8÷2 = 4, 

then multiply 8 × 3 = 24 

24 + 4 = 28 

Answer = 28 

3. BODMAS Questions for Class 6 with Square Brackets

Given below are 3 BODMAS questions for class 6 with answers having only square brackets for your understanding:

1. [16 – 4 × 2 + 1]

Solution: Solve inside the bracket using BODMAS, 

Multiply first, 4×2 = 8

Then, subtract 16 – 8 = 8,

At last, add 8+1 = 9

Answer = 9

2. [4 + 3 × [2 + 4]]

Solution: Solve the inner bracket first,  2 + 4 = 6

Then, use BODMAS 

Multiply, 3 × 6 = 18, 

Next, add 4 + 18 = 22

Answer = 22 

3. [[[6 + 2] × [5 – 2]] + [8 ÷ 2]]

Solution: Solve all inner brackets one by one, 6+2 = 8, 5-2 = 3, 

8÷2 = 4, 

Then use BODMAS, 

Multiply first, 8 × 3 = 24 

Then add, 24 + 4 = 28

Answer = 28 

Practice BODMAS Questions for Class 6 (Unsolved)

Now that you’ve seen a variety of class 6 BODMAS questions with answers, you should have a good idea of how to solve each one. So, to help you practice, we’ve put together 10 mixed questions. Take out your notebook and pen, and give them a shot!

1. (18 ÷ 3) + 2²
2. 30 ÷ 5 × (2 + 1)²
3. 5 × [(3 + 2)² – (8 ÷ 4)]
4. {24 – [6 + 2 × (3²)]} + 4
5. [(4 + 2) × 3²] – (16 ÷ 2 + 1)
6. [12 – {3 × (2² + 1)}] + 10 ÷ 2
7. [6 of (3 + 2)] – {(4² ÷ 2) + 1}
8. Expand and simplify: 3(x−2)²+2(x+1)(x−3)
9. Evaluate: {(x+2)²−[2x(x−1)−(x²−4)]}+3(x−2), where x = 3
10. Solve for x: {(2x−1)²+[x(x+2)−(x−3)²]}=50

Once you’ve finished solving all the questions, you can then ask your parent or teacher to check them. This will help you correct any mistakes and practice similar types before your class 6 exam. 

Common Mistakes Students Make in BODMAS

The BODMAS rule is quite simple until all the operations show up together in one problem. But don’t panic! Just write the word BODMAS in your rough column and strike off each letter as you complete that operation. This keeps your work organised and helps avoid silly mistakes. That’s why we’ve listed below some key pointers you should remember while solving BODMAS questions for class 6: 

• Brackets first: Always begin by solving what’s inside the brackets. Brackets come in three types:

1. Round brackets or parentheses: ( )
2. Square brackets: [ ]
3. Curly brackets: { }

Brackets are solved from the innermost to the outermost, not all at once. So, if a sum has more than one type of bracket, solve the inner one first.

• Orders come next: After brackets, handle orders, which include powers (like 2²), roots (like √9), and also the word “of”, which means multiplication. 

• The last four operations, division, multiplication, addition, and subtraction, must be solved from left to right, in the order they appear. If not solved in order from left to right, you will get the wrong answer. 

Also Check: Basic Maths Formulas for Class 6 to 12

Conclusion

The BODMAS rule is very important for Class 6 students. Without using it, you will almost always get the wrong answer. So, start practicing BODMAS questions for class 6 right away. You can begin with the ones above and also refer to your Class 6 mathematics textbook. This rule is not as difficult as other parts of your syllabus. In fact, once you understand it properly, it becomes the foundation for solving more complex problems in higher classes. So, start practicing already, Maths champ!

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