BODMAS Questions with Answers for Classes 4, 5, 6, 7, 8,12

BODMAS questions help students learn the correct order of mathematical operations. The BODMAS rule tells us which operation should be solved first and get the correct answer.

Students often become confused when an expression contains brackets, multiplication, division, addition, and subtraction together. By following the BODMAS rule step by step, mathematical problems become easier and more accurate.

Table of Contents

• What is the BODMAS Rule?
• How to Solve BODMAS Questions?
• Simple BODMAS Questions
• BODMAS Rule Questions with Step-by-Step Solutions
• BODMAS Questions for Class 4
• BODMAS Questions for Class 5
• BODMAS Questions for Class 6
• BODMAS Questions for Class 7
• BODMAS Questions for Class 8
• BODMAS Questions for Class 12
• BODMAS Word Problems
• Common Mistakes Students Make in BODMAS

What is the BODMAS Rule?

The BODMAS rule explains the correct order for solving mathematical expressions.

Brackets -> Of -> Division -> Multiplication -> Addition -> Subtraction

According to the BODMAS rule:

1. Solve brackets first
2. Solve powers and roots
3. Perform division
4. Perform multiplication
5. Perform addition
6. Perform subtraction

Using this order helps students solve problems correctly and avoid confusion.

How to Solve BODMAS Questions?

Students can solve BODMAS questions easily by following these simple steps.

Step 1: Solve Brackets First

Always start with the numbers inside brackets.

Example: (8 + 2) × 3

First solve: 8 + 2 = 10

Then multiply: 10 × 3 = 30

Step 2: Solve Orders

Orders include squares, cubes, and square roots.

Example: 2 + 4²

First solve: 4² = 16

Then: 2 + 16 = 18

Step 3: Solve Division and Multiplication

Division and multiplication are solved from left to right.

Example: 24 ÷ 6 × 2

24 ÷ 6 = 4

4 × 2 = 8

Step 4: Solve Addition and Subtraction

Addition and subtraction are solved from left to right.

Example: 20 - 5 + 3

20 - 5 = 15

15 + 3 = 18

Simple BODMAS Questions

These simple BODMAS questions are useful for beginners who are learning the order of operations.

Question 1: 2 + 3 × 4

Solution: Multiply first: 3 × 4 = 12

Now add: 2 + 12 = 14

Answer: 14

Question 2: (5 + 5) ÷ 2

Solution: First solve the bracket: 5 + 5 = 10

Now divide: 10 ÷ 2 = 5

Answer: 5

Question 3: 18 − 6 ÷ 2

Solution: Divide first: 6 ÷ 2 = 3

Now subtract: 18 − 3 = 15

Answer: 15

BODMAS Rule Questions with Step-by-Step Solutions

BODMAS Questions for Class 4

These BODMAS questions for Class 4 help students understand basic operations step by step.

Question 1: (5 + 3) × 2

Step 1: Solve the bracket - 5 + 3 = 8

Step 2: Multiply - 8 × 2 = 16

Answer: 16

Question 2: 18 ÷ 3 + 4

Step 1: Divide - 18 ÷ 3 = 6

Step 2: Add - 6 + 4 = 10

Answer: 10

Question 3: 20 − 5 × 2

Step 1: Multiply - 5 × 2 = 10

Step 2: Subtract - 20 − 10 = 10

Answer: 10

Question 4: (10 + 4) ÷ 2

Step 1: Solve the bracket - 10 + 4 = 14

Step 2: Divide - 14 ÷ 2 = 7

Answer: 7

Question 5: 15 − 3 + 2

Step 1: Subtract - 15 − 3 = 12

Step 2: Add - 12 + 2 = 14

Answer: 14

Practice Questions on BODMAS for Class 4

1. (5 + 3) × 2
2. 18 ÷ 3 + 4
3. 20 − 5 × 2
4. (10 + 4) ÷ 2
5. 15 − 3 + 2

Answers: 1) 16   2) 10   3) 10   4) 7   5) 14

BODMAS Questions for Class 5

These BODMAS questions for Class 5 include brackets, multiplication, and division.

Question 1: (12 + 8) ÷ 4

Step 1: Solve the bracket - 12 + 8 = 20

Step 2: Divide - 20 ÷ 4 = 5

Answer: 5

Question 2: 30 − 6 ÷ 2

Step 1: Divide - 6 ÷ 2 = 3

Step 2: Subtract - 30 − 3 = 27

Answer: 27

Question 3: 15 + 3 × 4

Step 1: Multiply - 3 × 4 = 12

Step 2: Add - 15 + 12 = 27

Answer: 27

Question 4: (18 − 6) × 2

Step 1: Solve the bracket - 18 − 6 = 12

Step 2: Multiply - 12 × 2 = 24

Answer: 24

Question 5: 40 ÷ 5 + 7

Step 1: Divide - 40 ÷ 5 = 8

Step 2: Add - 8 + 7 = 15

Answer: 15

Practice Questions on BODMAS for Class 5

1. (12 + 8) ÷ 4
2. 30 − 6 ÷ 2
3. 15 + 3 × 4
4. (18 − 6) × 2
5. 40 ÷ 5 + 7

Answers: 1) 5   2) 27   3) 27   4) 24   5) 15

BODMAS Questions for Class 6

These Class 6 BODMAS questions contain multiple operations and brackets.

Question 1: (24 + 12) ÷ 6

Step 1: Solve the bracket - 24 + 12 = 36

Step 2: Divide - 36 ÷ 6 = 6

Answer: 6

Question 2: 50 − 8 × 4

Step 1: Multiply - 8 × 4 = 32

Step 2: Subtract - 50 − 32 = 18

Answer: 18

Question 3: 60 ÷ 5 × 2

Step 1: Divide - 60 ÷ 5 = 12

Step 2: Multiply - 12 × 2 = 24

Answer: 24

Question 4: (16 + 4) × 3

Step 1: Solve the bracket - 16 + 4 = 20

Step 2: Multiply - 20 × 3 = 60

Answer: 60

Question 5: 45 − (12 ÷ 3)

Step 1: Solve inside the bracket - 12 ÷ 3 = 4

Step 2: Subtract - 45 − 4 = 41

Answer: 41

Practice Questions on BODMAS for Class 6

1. (24 + 12) ÷ 6
2. 50 − 8 × 4
3. 60 ÷ 5 × 2
4. (16 + 4) × 3
5. 45 − (12 ÷ 3)

Answers: 1) 6   2) 18   3) 24   4) 60   5) 41

BODMAS Questions for Class 7

These Class 7 BODMAS questions include powers and multiple operations.

Question 1: (36 ÷ 6) + 8 × 2

Step 1: Solve the bracket - 36 ÷ 6 = 6

Step 2: Multiply - 8 × 2 = 16

Step 3: Add - 6 + 16 = 22

Answer: 22

Question 2: 100 − (20 ÷ 5 × 3)

Step 1: Solve inside the bracket from left to right - 20 ÷ 5 = 4

Step 2: Multiply - 4 × 3 = 12

Step 3: Subtract - 100 − 12 = 88

Answer: 88

Question 3: (7² + 1) ÷ 5

Step 1: Solve the power - 7² = 49

Step 2: Add - 49 + 1 = 50

Step 3: Divide - 50 ÷ 5 = 10

Answer: 10

Question 4: 48 ÷ (4 + 2)

Step 1: Solve the bracket - 4 + 2 = 6

Step 2: Divide - 48 ÷ 6 = 8

Answer: 8

Question 5: 25 + 6 × 3 − 4

Step 1: Multiply - 6 × 3 = 18

Step 2: Add - 25 + 18 = 43

Step 3: Subtract - 43 − 4 = 39

Answer: 39

Practice Questions on BODMAS for Class 7

1. (36 ÷ 6) + 8 × 2
2. 100 − (20 ÷ 5 × 3)
3. (7² + 1) ÷ 5
4. 48 ÷ (4 + 2)
5. 25 + 6 × 3 − 4

Answers: 1) 22   2) 88   3) 10   4) 8   5) 39

BODMAS Questions for Class 8

These Class 8 BODMAS questions include powers, brackets, and multiple operations.

Question 1: (5² + 15) ÷ 5

Step 1: Solve the power - 5² = 25

Step 2: Add - 25 + 15 = 40

Step 3: Divide - 40 ÷ 5 = 8

Answer: 8

Question 2: 80 − (12 × 4) + 6

Step 1: Multiply inside the bracket - 12 × 4 = 48

Step 2: Subtract - 80 − 48 = 32

Step 3: Add - 32 + 6 = 38

Answer: 38

Question 3: (64 ÷ 8) × (3 + 1)

Step 1: Solve both brackets - 64 ÷ 8 = 8 and 3 + 1 = 4

Step 2: Multiply - 8 × 4 = 32

Answer: 32

Question 4: 90 ÷ (5 × 3) + 7

Step 1: Solve inside the bracket - 5 × 3 = 15

Step 2: Divide - 90 ÷ 15 = 6

Step 3: Add - 6 + 7 = 13

Answer: 13

Question 5: (3³ + 9) ÷ 6

Step 1: Solve the power - 3³ = 27

Step 2: Add - 27 + 9 = 36

Step 3: Divide - 36 ÷ 6 = 6

Answer: 6

Practice Questions on BODMAS for Class 8

1. (5² + 15) ÷ 5
2. 80 − (12 × 4) + 6
3. (64 ÷ 8) × (3 + 1)
4. 90 ÷ (5 × 3) + 7
5. (3³ + 9) ÷ 6

Answers: 1) 8   2) 38   3) 32   4) 13   5) 6

BODMAS Questions for Class 12

Class 12 BODMAS questions involve advanced operations such as exponents, logarithms, fractions, algebraic expressions, and nested brackets. These questions help students improve logical thinking and prepare for higher-level mathematics.

Question 1: Evaluate: 16¾ ÷ 8⅔ + (2 × 3²) − √81

Solution:

Step 1: Solve the exponents - 16¾ = 8 and 8⅔ = 4

Step 2: Divide - 8 ÷ 4 = 2

Step 3: Solve multiplication and powers - 3² = 9, then 2 × 9 = 18

Step 4: Solve square root - √81 = 9

Step 5: Add and subtract - 2 + 18 − 9 = 11

Answer: 11

Question 2: Evaluate: 50 − [30 ÷ {15 − 3 × (4 − 7)}]

Solution:

Step 1: Solve the inner bracket - 4 − 7 = −3

Step 2: Multiply - 3 × (−3) = −9

Step 3: Solve curly bracket - 15 − (−9) = 24

Step 4: Divide - 30 ÷ 24 = 1.25

Step 5: Subtract - 50 − 1.25 = 48.75

Answer: 48.75

Question 3: Simplify: ((5 + 1/2) ÷ (4/3 × 6/5 ÷ 1/3)) × 3/2

Solution:

Step 1: Solve numerator - 5 + 1/2 = 11/2

Step 2: Solve denominator - 4/3 × 6/5 = 8/5, then 8/5 ÷ 1/3 = 24/5

Step 3: Divide - (11/2) ÷ (24/5) = (11/2) × (5/24) = 55/48

Step 4: Multiply - 55/48 × 3/2 = 55/32

Answer: 55/32

Question 4: Evaluate: 2 log₁₀(100) + 3² − [16 ÷ (4 of 2)]

Solution:

Step 1: Solve logarithm - log₁₀(100) = 2, then 2 × 2 = 4

Step 2: Solve power - 3² = 9

Step 3: Solve bracket - 4 of 2 = 8, then 16 ÷ 8 = 2

Step 4: Perform operations - 4 + 9 − 2 = 11

Answer: 11

Question 5: Solve for x: 48 ÷ 3 + x × 4 − 30 = 12

Solution:

Step 1: Divide - 48 ÷ 3 = 16

Step 2: Rewrite - 16 + 4x − 30 = 12

Step 3: Simplify - 4x − 14 = 12

Step 4: Add 14 to both sides - 4x = 26

Step 5: Divide by 4 - x = 6.5

Answer: x = 6.5

Advanced Practice Questions on BODMAS for Class 12

1. ((64½ + 3³) ÷ 7)
2. (120 − [18 ÷ (3 × 2)] + 5²)
3. ((2&sup4; + 6 × 3) ÷ 2)
4. (3 log₁₀(1000) + 5² − 12)
5. ((9² − 45) ÷ 6)

Answers: 1) 5   2) 142   3) 17   4) 22   5) 6

BODMAS Word Problems

Question 1: A shopkeeper sells 5 boxes of chocolates with 8 chocolates in each box. Later, he adds 12 extra chocolates to the collection. How many chocolates are there in total?

Solution:

Step 1: Multiply - 5 × 8 = 40

Step 2: Add - 40 + 12 = 52

Answer: 52 chocolates

Question 2: A student buys 4 notebooks costing Rs. 25 each and 3 pens costing Rs. 10 each. After shopping, the student gets a discount of Rs. 20. How much money does the student finally pay?

Solution:

Step 1: Multiply notebook cost - 4 × 25 = 100

Step 2: Multiply pen cost - 3 × 10 = 30

Step 3: Add total cost - 100 + 30 = 130

Step 4: Subtract discount - 130 − 20 = 110

Answer: Rs. 110

Question 3: A bus travels 45 km in the morning and then travels 3 times 25 km in the afternoon. Due to a roadblock, 15 km of the route is cancelled. What is the total distance travelled?

Solution:

Step 1: Multiply - 3 × 25 = 75

Step 2: Add - 45 + 75 = 120

Step 3: Subtract - 120 − 15 = 105

Answer: 105 km

Question 4: A school has 6 classrooms with 18 students in each classroom. Later, 24 new students join the school. How many students are there in total?

Solution:

Step 1: Multiply - 6 × 18 = 108

Step 2: Add - 108 + 24 = 132

Answer: 132 students

Question 5: A factory produces 120 toys in one day. Out of these, 4 boxes contain 15 toys each, and the remaining toys are packed separately. If 20 toys are damaged and removed, how many toys remain?

Solution:

Step 1: Multiply - 4 × 15 = 60

Step 2: Subtract packed toys from total - 120 − 60 = 60

Step 3: Subtract damaged toys - 60 − 20 = 40

Answer: 40 toys remain

Common Mistakes Students Make in BODMAS

1. Solving Addition Before Multiplication

Wrong: 2 + 3 × 4 = 20

Correct: 2 + 12 = 14

2. Ignoring Brackets

Brackets should always be solved first.

Example: (10 − 4) × 3

10 − 4 = 6, then 6 × 3 = 18

3. Not Following Left-to-Right Rule

Division and multiplication are solved from left to right.

Example: 24 ÷ 6 × 2

24 ÷ 6 = 4, then 4 × 2 = 8

4. Skipping Powers and Roots

Always solve powers before multiplication or addition.

Example: 2 + 3²

3² = 9, then 2 + 9 = 11