BODMAS Rule Questions

BODMAS rule questions are mathematical problems solved by applying the appropriate order of operations. The BODMAS rule, which stands for Brackets, Orders, Division, Multiplication, Addition, and Subtraction, tells us precisely the sequence to follow when solving expressions. Every operation must be performed in a specific order, and numbers are simplified step by step to prevent errors. We will learn here how to solve questions based on the BODMAS rule, and understand the basic rules of BODMAS with a clear understanding.

 

Table Of Contents

• What is the BODMAS Rule?
• How to Solve BODMAS Rule Questions?
• BODMAS Rule Questions with Solutions
• BODMAS Practice Questions
• Conclusion
• FAQs On BODMAS Rule Questions

 

What is the BODMAS Rule?

The BODMAS rule tells us the order in which we can do mathematical operations. If we don't use the order, we can end up getting the wrong answer.

BODMAS means:

B → Brackets (do inside brackets first: (), {}, [])

O → Orders (do powers and roots such as squares, cubes,  etc.)

D → Division (left to right)

M → Multiplication (left to right)

A → Addition (left to right)

S → Subtraction (left to right)

 

How to Solve BODMAS Rule Questions?

 When you solve BODMAS rule questions, you need to adhere to the order of operations very carefully. Let's divide it into step-by-step details:

Step 1: Solve Brackets First

Always start with the numbers within the brackets. The brackets can also be of various types, such as (), {}, or []. Occasionally, there could even be brackets within brackets. Begin with the inner bracket and reduce step by step. 

Step 2: Manage Orders (Powers and Roots)

After the brackets have been solved, search for any orders (such as squares, cubes) or roots (such as square roots).  These are called “orders.”.

Step 3: Perform Division and Multiplication (left to right)

Next, do division and multiplication. These are equal operations, so you do them in the direction they come from left to right in the expression. 

Step 4:  Addition and Subtraction (left to right)

Lastly, finish the addition and subtraction steps. Similar to multiplication and division, addition and subtraction are also solved from left to right. 

 

BODMAS Rule Questions Without Solution

Now that we have understood the BODMAS rule and the steps to solve it, let us look at some solved BODMAS rule questions with step-by-step solutions. These examples will help in applying the rule correctly and avoiding common mistakes.

 

Question 1:Evaluate: (8 + 2) × 3

Solution:

We have

(8 + 2) × 3

First, solve inside the bracket:

= 10 × 3

Now multiply 10 × 3 = 30

Answer: 30

 

Question 2: Evaluate: 20 ÷ (4 + 1) × 2

Solution:

We have

20 ÷ (4 + 1) × 2

First, solve inside the bracket:

= 20 ÷ 5 × 2

Now divide 20 ÷ 5 = 4:

= 4 × 2

Finally, multiply 4 × 2 = 8

Answer: 8

 

Question 3: Evaluate: 15 – 6 ÷ 2

Solution:

We have

15 – 6 ÷ 2

First, divide 6 by 2,  6 ÷ 2 = 3:

= 15 – 3

Now subtract 15 – 3 = 12

Answer: 12

 

Question 4: Evaluate: (2³ + 4) × 2

Solution:

We have

(2³ + 4) × 2

First, solve the power 2³ = 8:

= (8 + 4) × 2

Now simplify inside the bracket:

= 12 × 2

Finally, multiply 12 × 2 = 24

Answer: 24

 

Question 5: Evaluate: (72÷6+4×3)×25÷50×1/2

Solution:

We start by solving inside the bracket:

= [{ (12 + 4 × 3) × 25 ÷ 50 } × 1/2]

Now multiply 4 × 3 = 12:

= [{ (12 + 12) × 25 ÷ 50 } × 1/2]

Simplify the addition:

= [{ (24 × 25 ÷ 50) } × 1/2]

Now multiply 24 × 25 = 600:

= [{ 600 ÷ 50 } × 1/2]

Divide 600 ÷ 50 = 12:

= 12 × 1/2

Finally, multiply:

= 6

Final Answer: 6

 

Question 6: Evaluate: (48÷8+10×2)×15÷30×1/2

Solution:

We start by solving inside the bracket:

= [{ (6 + 10 × 2) × 15 ÷ 30 } × 1/2]

Now multiply 10 × 2 = 20:

= [{ (6 + 20) × 15 ÷ 30 } × 1/2]

Simplify the addition:

= [{ 26 × 15 ÷ 30 } × 1/2]

Multiply 26 × 15 = 390:

= [{ 390 ÷ 30 } × 1/2]

Now divide 390 ÷ 30 = 13:

= 13 × 1/2

Finally, multiply:

= 6.5

Final Answer: 6.5

 

Question 7: Evaluate: (120÷10+18÷3)×12÷24×1/2

Solution:

We start by solving inside the bracket:

= [{ (12 + 18 ÷ 3) × 12 ÷ 24 } × 1/2]

Now divide 18 ÷ 3 = 6:

= [{ (12 + 6) × 12 ÷ 24 } × 1/2]

Simplify the addition:

= [{ 18 × 12 ÷ 24 } × 1/2]

Multiply 18 × 12 = 216:

= [{ 216 ÷ 24 } × 1/2]

Now divide 216 ÷ 24 = 9:

= 9 × 1/2

Finally, multiply:

= 4.5

Final Answer: 4.5

 

Question 8: [(24 - 8) ÷ 4] + [50 - 15 ÷ 5 of 3]

Solution:

We have

[(24 - 8) ÷ 4] + [50 - 15 ÷ 5 of 3]

First, solve inside the first bracket:

24 - 8 = 16

16 ÷ 4 = 4

Now, solve inside the second bracket:

50 - 15 ÷ 5 of 3

First, do the division: 15 ÷ 5 = 3

Now, do the multiplication: 3 of 3 = 9

50 - 9 = 41

Finally, add both results:

4 + 41 = 45

Answer: 45

 

BODMAS Practice Questions

1. Evaluate: [(24 + 6) ÷ 5] + 7

2. Evaluate: 36 ÷ (6 - 2) × 3

3. Evaluate: 45 - (15 ÷ 3) × 2

4. Evaluate: [80 - (12 × 3)] ÷ 4

5. Evaluate: [(28 + 12) ÷ 8] + [50 - 20 ÷ 2 of 5]

6. Evaluate: 100 - [(20 ÷ 4) + 5 × 3]

7. Evaluate: (50 - 25 ÷ 5) + (10 × 2)

8. Evaluate: [36 ÷ (3 + 3)] + (18 - 6 × 2)

9. Evaluate: (15 + 5 × 2) - 10

10. Evaluate: [90 - (12 ÷ 3 × 4)] + 6

11. Evaluate: (60 ÷ 5) + (18 - 6 × 2)

 

Conclusion

The BODMAS rule helps us solve mathematical expressions step by step in the correct order. By practicing various BODMAS rule questions, students can avoid mistakes and solve problems with confidence. Remember the sequence: Brackets → Orders → Division → Multiplication → Addition → Subtraction.

 

Frequently Asked Questions on BODMAS Rule Questions

1. What does BODMAS stand for?

Answer: BODMAS stands for Brackets, Orders, Division, Multiplication, Addition, and Subtraction.

 

2. Why is the BODMAS rule important?

Answer: It ensures that we solve expressions in the correct order and get the right answer.

 

3. Can multiplication come before division in BODMAS?

Answer: No. Division and multiplication are solved from left to right, whichever comes first.

 

4. Give one simple BODMAS rule question.

 Answer: Example: (3 + 5) × 2 = 8 × 2 = 16.

 

Practice BODMAS Rule Questions along with other maths concepts at  Orchids The International School.