** BODMAS** stands for Bracket, Of, Division, Multiplication, Addition and Subtraction. The BODMAS is used to explain the order of operations of a mathematical expression. It is an essential mathematical concept used in an array of places where you need to solve complex equations. It helps in solving simplification questions and reduce calculation time in most of the cases. Therefore, it is mandatory to have a stronghold over this concept from the start. To all those who are trying their hands on various competitive exams or preparing this topic for the scholastic exams like

**SAT**,

**GMAT**or

**GRE**, here is a blog with BODMAS questions to practice.

##### This Blog Includes:

## BODMAS Full Form

**BODMAS** stands for: **B:** Brackets**O**: Order of Indices **D**: Division **M**: Multiplication **A:** Addition **S:** Subtraction

## Understanding BODMAS

Now, let us understand the order in which it is used in mathematics-

B ➝ O ➝ D ➝ M ➝ A ➝ S

Starting from ‘B’ and moving towards the right of the word will give you correct and quick answers for those complex equations. Refer to the table below for a better understanding of this concept.

Letters | Steps |

Brackets (B) | Always start by calculating the problems inside the bracket |

Orders of Indices (O) | The indices such as roots, powers, etc will have to be solved next |

Division (D) | Once you are done with solving brackets and Indices, the next step is Dividing the numbers which are given |

Multiplication (M) | After Multiplication, the very next step would be to solve the sum which has multiplication involved in it. |

Addition (A) | The second last step of this process would be adding the numbers. Make sure you check the correct sign before them. |

Subtraction (S) | Subtraction would be the last step of this process. When you are through with the previous steps, you can subtract the numbers left in the end. |

## BODMAS Questions: Order of Operations

## Simplification of Brackets

As per the BODMAS rule, the first thing you need to do while solving a question is the simplification of brackets. But do you really know how to simplify brackets? Don’t worry, let’s discover ways of removing brackets and expanding an expression with the help of an example:

Suppose we have an equation x (y + z), to open brackets and expand the terms, we will use the ** Distributive Property **which states that a (b + c) = ab + bc. Therefore in the given equation will become :

**x (y + z) =xy + xz.**

We hope the simplification of brackets is clear to you know. Let us look at some complex examples for a better understanding.

**Example 1: Expand and simplify 9 (5 + 3) ****Solution**

In question 9 (5 + 3) let us use the Distributive Property [a (b + c) = ab + bc]

9 (5 + 3) = 9 × 5 + 9 × 3

= 45 + 27

= 72*Therefore, the answer is 72.*

**Example 2: Expand and simplify 11 (2y+ 3)****Solution: **

We will again use the Distributive Property [a (b + c) = ab + bc] to proceed with the question 11 (2y + 3). The equation will become:

11 (2y + 3) = 11 × 2y + 11 × 3

= 22y + 33 *Therefore, the answer is 22y + 33!*

## BODMAS Questions and Answers

BODMAS is an important topic of Maths which is a part of class 8 Maths, class 10 Maths and class 9 ICSE Maths. Thus to explain this topic better, we have solved a few BODMAS questions for you, have a look:

**Q1: Find the value of ‘a’ using the concept of BODMAS. 42 ÷ 2 + a × 3 − 22 = 8**

**Solution:**

42 ÷ 2 + a × 3 − 22 = 8

Using BODMAS, we will first work on the division

21 + a × 3 – 22 = 8

Next, we will do the rearrangement of terms, followed by subtraction

a 3 – 22 + 21 = 8

a × 3 – 1 = 8

Taking -1 to the other side

a × 3 = 8 + 1

a × 3 = 9

a = 9/3

a = 3

*The value of a is 3!***Q2: Find the value of 3+3 of 3÷3 of 3×3**

**Solution:**

To understand the question better, let us add brackets to this problem

Therefore, 3 + 3 of 3 ÷ 3 of 3 × 3 will become 3 + (3 of 3) ÷ 3 of 3 × 3

Using BODMAS, we will first work on brackets and of

3 + 9 ÷ 3 of 3 × 3

3 + 3 of 3 × 3

3 + (3 of 3) × 3

3 + 9 × 3

As per the BODMAS rule, we will solve multiplication first

3 + 27

= 30

*Therefore, the answer is 30!***Q3: In equation 9 + 7 × 1= 5 − 3 which pair of signs should we interchange in order to make it correct? The available options are + with ×, + with –, × with – or + with –.****Solution:**For the given 4 option, the only × with – is making the equation correct. Let us understand verify it by replacing these signs in the above mentioned BODMAS question.

**Original Equation**: 9 + 7 × 1= 5 − 3

**New Equation**: 9 + 7 − 1 = 5 × 3

Using the BODMAS rule, we would first wok on the multiplication

9 + 7 − 1 = 15

16 − 1 = 15

15 = 15

*Hence verified that × with – is the correct choice!***Q4: Find the value of 10 + 10 × 10 ÷ 10 using BODMAS.**

**Solution:**

10 + 10 × 10 ÷ 10

As per the BODMAS rule, we will first wok on division.

10 + 10 × 1

Next operation as per BODMAS is Multiplication

10 + 10

= 20

*Therefore, the answer is 20!***Q5: Simplify the following equation 18 – [6 – {4 – (8 – 6 + 3 )}]**

**Solution:**

Using the BODMAS rule, we will first solve (8 – 6 + 3)

18 – [6 – {4 – (8 – 9 )}]

18 – [6 – {4 – (– 1 )}]

As per the properties of integers –, – becomes +

18 – [6 – {4 +1 }]

18 – [6 – 5]

18 – 1

17

*Therefore, the answer is 17!***Q6: Find the value of x in the following equation 6162 + x + 3330 = 2545**

**Solution:**

6162 + x + 3330 = 2545

We will first rearrange the equation

6162 + 3330 + x = 2545

Using the BODMAS rule, we will first do the addition

9492 + x = 2545

Shifting 9492 to the other side of the equation

x = 2455 – 9492

= – 6947

*Therefore, the answer is – 6947.***Q7: Find the value of 6 ÷ 2 + 7 × 4**

**Solution:**

As per the BODMAS rule, we will start solving the equation by division:

6 ÷ 2 + 7 × 4

3 + 7 x 4

Next operation that falls next as per the BODMAS rule is Multiplication

3 + 7 x 4

3 + 28

= 31

**.**

*Therefore, the answer is 31***Q8: Simplify 567- 78 (13x 4 – 8 x 12)**

**Solution:**

As per the BODMAS rule, we will start solving this question by operating the brackets first. In the bracket itself, we have 2 different operations, subtraction and multiplication. If we follow the rule, Multiplication should be performed first

567- 78 (13x 4 – 8 x 12)

567- 78 (52 – 96)

567- 78 – 44

The property of integers suggests – and – becomes +, therefore

567- 122

= 445

*Therefore, the answer is 445**How are you finding these BODMAS questions? Try out some Algebra Questions as well!*

**Q9: Simplify [72 – 12 ÷ by 3 – 2 ]+ ( 18 – 6) ÷ 4**

**Solution:**

To simplify the given BODMAS question, we can start by operating the brackets. As brackets further involve division and subtraction, we will division

[72 – 12 ÷ by 3 – 2] + ( 18 – 6) ÷ 4

[72 – 4 – 2] + ( 18 – 6) ÷ 4

66 + 12 ÷ 4

Now we will first work on the division first

66 + 12 ÷ 4

66 + 3

= 69

*Therefore, the simplified value is 69!***Q10: Find the value of 40 – [20 – {14 – (16 – 6 x 4 – 2)}]**

**Solution:**

As per the BODMAS rule, we will start solving the question by working on the brackets. Within the brackets, we will start with Multiplication followed by subtraction

40 – [20 – {14 – (16 – 6 x 4 – 2)}]

40 – [20 – {14 – (16 – 24 – 2)}]

Property of integers suggests, – and – become +, therefore

40 – [20 – {14 – (16 – 26)}]

40 – [20 – {14 – (-10)}]

Again using – and – become +

40 – [20 – {14 + 10}]

40 – [20 – 24]

40 – [-4]

40 + 4

= 44

*Therefore, the answer is 44!**Now that you are through 5 BODMAS questions, here is a list of Seating Arrangement Questions for you!*

## List of BODMAS Questions

Here are some BODMAS questions for you:

- Simplify 25 – [20 – {10 -(7-5-3)}
- Find out the answer for 100 – 3 [20 + {50 – 40}]
- 7 + (8 -3×2)
- What would be the answer for 50- [20 +{ 30- ( 20- 5)}]
- Find the value of 150- [10 +{ 3- ( 20- 5)}]
- Simplify 1៖ 3/7 x (6+8X3-2)+ [1/5៖ 7/25 – {3/7 + 8/14} ]
- Suing the rule of BODMAS, determine the answer of 18 ៖ 10 – 4 + 32 ៖ (4+ 10 ៖ 2 – 1)
- 10 – [ 6 -{7 – (6- 8 – 5)}] solve the following
- What will the answer of this question 5x ¼ ៖ 3/7 + [45/24- 2/3 + 5/6 x 2/5 ]
- 1800 ៖ 10 {( 12 – 6) + (24 – 12)}
- 1/2 [{ -2 (1 + 2) 10} 15] x 3
- 20 – [6- {4 – (8 – 6 + 3)}]
- According to the BODMAS rule, find out the value of y: 36 ៖ 2 + y x 3 – 22 = 8
- Determin the correct answer for- (1/4 + 7/4) – 2
- 45 x 3 x 7 x [22/11+ 36/12]
- Solve this quetsion using the BODMAS rule 2 [2 + 2 {39 -2 (17 + 2)}]
- Solve this BODMAS Question (17 x 18)៖ 10 x 2 (2+ 13)- 25
- (3 + 3) x (3 ៖ 3) x (3×3) solve this problem using BODMAS rule
- 2550 – [510 {270 – ( 90- 80 + 70)}]
- [29- (- 2) {6 – (7 – 3)}] ៖ [3 x {5 + (-3) x (-2)}] solve this complex equation using the BODMAS rule
- 63- (-3) {-2 -8-3} ៖ 3 {5+ (-2) (-1)}
- What will be the answer of this BODMAS question: 27 – [38 – {46 – (15- 13 2)}]
- 25- 1/25 {5+ 4 – (3+ 2- 1 + 3)}

*Why don’t you take a break from these BODMAS questions and solve a few Probability Formulas & Questions for a change?*

## FAQs

**Q1: What is Bodmas rule with example?**BODMAS rule suggests that while solving a complex equation comprising of various operations, we must follow BODMAS order to further solve the problem. For example (2 + 3 ) x 4, we will first solve the brackets as per the BODMAS rule, 5 x 3 and then multiply. So the answer is 20!

**Q2: What is the rule of Bodmas?**BODMAS rule states the order of operations according to which we can solve a complex problem. It starts with solving brackets, then of, then Division, followed by Multiplication, Addition and Subtraction.

**Q3: How do you simplify Bar Questions?**The bar questions denote that the operations under the bar must be given preference followed by BODMAS while solving a particular equation.

**Q4: Does Bodmas apply when there are no brackets?**Yes, BODMAS is applied even to places where there are no brackets. In such a case we just work upon the other operations.

*Find Out How Smart Are you With These Trick Questions!*

We hope that this blog on BODMAS questions gave you a better understanding of the concept. It is advised to take expert guidance before selecting a stream or course. Leverage Edu is a one-stop solution for all the admissions and career-related queries, reach out to us by booking a free E-meeting session!