HOW TO SOLVE BODMAS QUESTIONS: A DETAILED GUIDE PRACTICE Q&A
 BODMAS Rule
 What is BODMAS?
 BODMAS Stands for
 When to use BODMAS in problems?
 Solving Questions using BODMAS Rule
 BODMAS
 Simplifying Brackets In BODMAS
 Applying the Distributive Property
 Here are some problems for you to solve
 Answers
 BODMAS Practice Questions for Class 4
 BODMAS Practice Questions for Class 5
 BODMAS Practice Questions for Class 6
 FAQs about BODMAS
BODMAS Rule
BODMAS is an interesting mathematical concept that is used extensively to solve complex math problems. BODMAS helps you simplify questions and reduce your calculation time. The conceptual BODMAS questions for class 8 are generally seen in all competitive aptitude exams like the SAT, GMAT, and GRE. Thus, it becomes an important topic to learn. In this article, we will cover what BODMAS is, what problems are seen in exams, and how to solve them.
What is BODMAS?
ODMAS is a mathematical conceptual rule used to simplify a complex mathematical expression when you come around to a mathematical expression with multiple operations like addition, subtraction, division, or brackets.
For eg:
(12+6×12+3) (12+6×12+3) What will you go first to solve? This problem is what the BODMAS rule solves.
Let’s start with understanding what the BODMAS rule stands for. BODMAS rule is an abbreviation created to solve such complex math expressions.
(Read More: How to study Mathematics course abroad?)
BODMAS Stands for
 B stands for Bracket
 O stands for Order of Indices
 D stands for Division
 M stands for Multiplication
 A stands for Addition
 S stands for Subtraction
The line of followup on how the rule applies goes like this
B→O→D→M→A→S
Brackets→Order of Indices→Division→Multiplication→Addition→Subtraction
The order of operations that we follow while applying the BODMAS rule is mentioned below:
S.No  Operation  Order 

1st 
Brackets 
( ), { }, [ ] 
2nd 
Order of Indices 
Square roots, indices, exponents, and powers 
3rd 
Division 
÷, / 
4th 
Multiplication 
×, * 
5th 
Addition 
+ 
6th 
Subtraction 
 
(Note: Check out how can we calculate CGPA in engineering)
As we now understand the meaning of BODMAS, the full form, and the line of followup order, let us now understand the steps that we need to follow.
The steps we need to follow are :
S.No  Letter  use 

Step 1 
B 
The first step is to approach and solve the problem given inside a bracket 
Step 2 
O 
Solve the indices like roots, exponents, etc 
Step 3 
D 
Divide the numbers given 
Step 4 
M 
Multiply the numbers given 
Step 5 
A 
Add the numbers given 
Step 6 
S 
Subtract the numbers given 
To remember BODMAS, we have certain tips for you
Remember to solve BODMAS, the first thing is to make the expression simple.
Then solve brackets by opening them, followed by the order of indices such as roots, and exponents, then move left to right by starting with division, multiplication, addition, and subtraction.
BODMAS and PEMDAS
The order of operations is followed from left to right. Both the rules are the same, just different abbreviations are used in different countries using different order.
When performing mathematical calculations, it’s crucial to follow a specific order to ensure accurate results.
Two common acronyms, BODMAS and PEMDAS, outline this order. Both acronyms represent the same sequence: Parentheses, Exponents, Multiplication, and Division(from left to right), Addition and Subtraction (from left to right). The only distinction lies in the terminology used. BODMAS employs “Brackets” and “Orders,” while PEMDAS uses “Parentheses” and “Exponents.”
Both shortform abbreviations are used in the same way to solve the problems.
(Suggested Read: Best Career options to pursue after 12th commerce without Maths)
When to use BODMAS in problems?
When you see a mathematical expression that has brackets and a lot of operations together, looking at the complexity of a problem, you can identify it as a BODMAS rule question.
The first thing to do is to open the brackets and make it a simpler equation. Once simplified, go according to the BODMAS law to solve the equation.Once done with simplifying the equation you will move from left to right and continue solving based on the order of operations in BODMAS.
Solving Questions using BODMAS Rule
Finally, now that you know all the basics let's get into real problemsolving questions.
 Question 1: 9+3x 8
The correct answer is 9+24
33
The multiplication must be completed first (3x 8= 24) and then the addition 9+24 =33.
This may be commonly miscalculated as 96 by working from left to right (9 + 3 = 12, 12 x 8 = 96).  Question 2: 10x (24 + 6) + 7^2
The correct answer is 10 x(30)+49
349
The BODMAS rule states we should calculate the Brackets first (24 +6= 30), then the Orders (72 = 49), then any Division or Multiplication (10 x 30=300, 30 is the answer to the brackets), and finally any Addition or Subtraction (300+ 49 = 349).
(Read More: Want to know how IELTS scores are calculated? Check this!)
 Question 3: 9– 6 + 5 ÷ 5
The correct answer is 4.
The division must be completed first (5/5=1) which then leaves addition and subtraction; as both are of the same importance, we can then work from left to right. 9– 6 + 1 (the answer to 5 ÷ 5) = 4.  Question 4
6(10+12÷3×46×1)
Let's start with solving the inside of the bracket
We shall start with division first 12÷3=4
The equation now has become 6(10+4x46x1). Now multiplication 4x4=16, 6×1=6.
The equation now has become 6(10+166)
Now addition then subtraction
=6(10+166)
=6(266)
=6(20)
=120
(Suggested Read: What are the requirements to be a civil engineer after 12th?)
BODMAS
BRACKETS OF 
6(10+12÷3×46×1) 

0RDER OF 
6(10+12÷3×46×1) 
DIVISION 
6(10+12÷3×46×1) 
MULTIPLICATION 
6(10+4x46x1) 
ADDITION 
6(10+166) 
SUBTRACTION 
6(266) 
ANSWER 
6(20) 
Simplifying Brackets In BODMAS
Understanding the distributive property is very important when you solve BODMAS questions. When we deal with mathematical expressions that involve brackets, distributive property comes into play.
This property states that:
 a(b + c) = ab + ac
In simpler terms, when we multiply a number or variable outside brackets by a sum or difference inside, it can be distributed to each term within the brackets.
(Know More: How to calculate ICSE Class 10 Percentage?)
Applying the Distributive Property
Let's understand this by looking at a few examples:
Example 1:
Simplify: 8(6 + 2)
 Step 1: Distributing 8 to both terms inside the brackets:
 8 * 6 + 8 * 2
 Step 2: Multiply:
 48 + 16
 Step 3: add like terms:
 64
Example 2:
Simplify: 3(4x  5)
 Step 1: Distributing 3 to both numbers inside the brackets:
 3 * 4x  3 * 5
 Step 2: Multiply:
 12x  15
Remember when using BODMAS
 When you encounter expressions with brackets, always apply the distributive property just like in the questions we solved above.
 Remember to distribute the number or variable outside the brackets to each term inside the brackets.
 Combine like terms like adding similar variable terms after distribution to simplify the equation till we get an answer which cannot be solved further.
 By following these steps and understanding the distributive property, you can effectively simplify expressions involving brackets and confidently solve mathematical problems.
(Read More: All about studying MEC Courses: Which one is best?)
Here are some problems for you to solve
 Simplify: 42  [35  {18  (12  8  4)}]
 Evaluate: 9 + (12  5 × 3)
 Simplify: 2/5 ÷ 4/7 × (8 + 10 × 4  3) + [3/8 ÷ 5/16  {4/7 + 9/14}]
 Determine the value of: 200  [15 + {8  (30  10)}]
 Calculate: 3000  [600 {320  (100  90 + 80)}]
 Evaluate: (20 × 19) ÷ 12 × 3 (3 + 14)  35
 Simplify: 2/3 [{ 3 (2 + 3) 12} 18] × 4
 Determine the correct answer for (2/5 + 8/5)  3
 Solve: 3 [3 + 3 {42  3 (19 + 3)}]
 Solve: 15  [8  {9  (8  10  7)}]
 Simplify: (4 + 4) × (4 ÷ 4) × (4 × 4)
 Calculate: 2400 ÷ 12 {(15  8) + (36  18)}
 Solve: 30  [8  {5  (10  8 + 4)}]
 According to BODMAS, find the value of y: 48 ÷ 3 + y × 4  30 = 12
 Simplify: 60 × 4 × 8 × [25/5 + 48/12]
 Solve using BODMAS: 3 [3 + 3 {42  3 (19 + 3)}]
 Simplify: (32  (3) {7  (8  4)}] ÷ [4 × {6 + (4) × (3)}]
 Calculate: 25  1/25 {5+ 4  (3+ 2 1 + 3)}
 Simplify: 42  [35  {18  (12  8  4)}]
 Evaluate: 65  [30 + {45  (30  7)}]
Now for your help, let’s solve some questions for you.
Answers
Problem1: Simplify: 42  [35  {18  (12  8  4)}]
StepbyStep Solution:
 Innermost Brackets: Start with the innermost brackets:
 12  8  4 = 0
 Continuing with Inner Brackets: Replace the innermost brackets with their result:
 18  (0) = 18
(Note: How can you calculate your IELTS score using PTE marks? Let's examine!)
Moving to Outer Brackets: Replace the inner brackets with their result:
 35  {18} = 17
 Final Calculation: Replace the outer brackets with their result:
 42  17 = 25
Therefore, the simplified expression is 25.
Problem 4: Determine the value of: 200  [15 + {8  (30  10)}]
StepbyStep Solution:
 Innermost Brackets: Start with the innermost brackets:
 30  10 = 20
 Continuing with Inner Brackets: Replace the innermost brackets with their result:
 8  20 = 12
 Moving to Outer Brackets: Replace the inner brackets with their result:
 15 + (12) = 3
 Final Calculation: Replace the outer brackets with their result:
 200  3 = 197
Therefore, the value of the expression is 197.
Problem 3: Simplify: 2/5 ÷ 4/7 × (8 + 10 × 4  3) + [3/8 ÷ 5/16  {4/7 + 9/14}]
StepbyStep Solution:
 Innermost Brackets: Start with the innermost brackets:
 4/7 + 9/14 = 17/14
 Continuing with Inner Brackets: Replace the innermost brackets with their result:
 3/8 ÷ 5/16  17/14 = 6/5  17/14 = 1/70
 Moving to Outer Brackets: Replace the inner brackets with their result:
 [1/70] = 1/70
 Inner Parentheses: Simplify the expression within the parentheses:
 8 + 10 × 4  3 = 8 + 40  3 = 45
 Division and Multiplication: Perform the division and multiplication:
 2/5 ÷ 4/7 × 45 = 2/5 × 7/4 × 45 = 63
 Addition: Add the result to the previous calculation:
 63 + 1/70 = 4411/70
(Read More: Study Tips from Toppers that you can't miss.)
Therefore, the simplified expression is 4411/70.
Problem 14: find the value of y: 48 ÷ 3 + y × 4  30 = 12
Solving for y:
Given equation: 48 ÷ 3 + y × 4  30 = 12
StepbyStep Solution:

Division: Perform the division first:

48 ÷ 3 = 16


Equation becomes: 16 + y × 4  30 = 12

Combine like terms:

16  30 = 14


Equation becomes: 14 + y × 4 = 12

Isolate y: Add 14 to both sides:

y × 4 = 12 + 14


Simplify:

y × 4 = 26


Divide by 4:

y = 26 ÷ 4


Simplify:

y = 6.5

Therefore, the value of y is 6.5.
(Note: If you are preparing for SAT test, here is a complete guide to SAT Subject Test)
Problem17: Simplify: (32  (3) {7  (8  4)}] ÷ [4 × {6 + (4) × (3)}]
StepbyStep Solution:
 Innermost Brackets:
 8  4 = 4
 Continuing with Inner Brackets:
 7  4 = 3
 Moving to Outer Brackets:
 (3) × 3 = 9
 Outer Brackets:
 32  (9) = 32 + 9 = 41
 Inner Brackets:
 (4) × (3) = 12
 Outer Brackets:
 6 + 12 = 18
 Division:
 41 ÷ 18 = 41/18
Therefore, the simplified expression is 41/18.
BODMAS Practice Questions for Class 4
Here are some BODMAS questions for Class 4:
 (5 + 8) × 4 =
 7 + (24 ÷ 6 × 3) =
 15  (3 × 4) =
 (40 ÷ 8)  5 =
 (25  10) × (15  4) =
 (10  7) + (4 × 6) =
(Suggested Read: What are the best ways to prepare for the SAT exam?)
BODMAS Practice Questions for Class 5
Here are some BODMAS questions for Class 5:
 45  12 + 35  (28 + 17) =
 52  10 + 45 + 32  (35 + 18) =
 6 + 23 × 7  (30  5) =
 8 + 27 × 9  (36  6) × 2 =
 (75 ÷ 3  5) × 4 + 8 =
 (84 ÷ 4  7) × 5 + 9 × 2 =
 0.4 + 0.9 + 0.3 =
 40 + 40 × 0 + 2 =
BODMAS Practice Questions for Class 6
Here are some BODMAS questions for Class 6:
 Solve the operation: 36 ÷ 6 + 7 (6 × 7)23 + 5 =
 42 ÷ 7 × (8  5) + 3 =
 5  3 + 4 + 8 × (20 ÷ 10) =
 7 × 3 + (14 + 9)  24 ÷ 6 =
 (15  9) × 4 + 10 + 32  4 =
 (18 ÷ 3) + 5 + (20  11) × 5 =
 12  8 + 11 × 6 + 35 ÷ 5 =
 8 ÷ 4 + 30  27 ÷ 3 =
 5 + 3 × 24 ÷ 6  10 =
(Read More: How can GMAT Coaching help you in solving BODMAS questions?
FAQs about BODMAS
1. What does BODMAS stands for?
BODMAS is an acronym that stands for Brackets, Orders, Division and Multiplication, Addition, and Subtraction. It's a set of rules used to determine the order of operations in mathematical expressions.
2. Why is BODMAS important?
BODMAS ensures consistent and accurate results in mathematical calculations.By using BODMAS we can solve questions faster. It is also important that a student knows BODMAS as it comes in every competitive exam aptitude.
3. How do I use BODMAS?
Look for questions with complex equations, then start by moving left to right. Remember you follow the order of BODMAS 
B→O→D→M→A→S
Brackets→Order of Indices→Division→Multiplication→Addition→Subtraction
Solve any expressions within brackets first.
Once done with brackets, move to orders calculating exponents, roots, and powers. Now start with division and multiplication. At last, we have addition and subtraction. Make sure you perform these operations from left to right, whichever comes first.
4. What are some common mistakes people make with BODMAS?
One general mistake that students make while solving BODMAS questions is that  they do not follow the order: Performing operations in the wrong order can lead to incorrect results overall leading to the deduction of marks.
The second common mistake that students make is forgetting brackets. If brackets are present, always solve the expressions inside them first.
5. Can you give me an example of how BODMAS works?
Example: 10 + 20 ÷ 5 × 3  4
 We see there are neither brackets nor order like exponent, roots, or power in this expression.
 Only simple division and Multiplication: 20 ÷ 5 = 4, then 4 × 3 = 12.
 And then addition and subtraction: 10 + 12  4 = 18.
Therefore, the answer is 18.
We hope that now after reading this article, you have become a pro at solving BODMAS rule questions. Keep visiting Global Tree for more such lessons and careerrelated queries, we provide you with the best solutions.