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

BODMAS is a rule that explains the correct order for solving mathematical expressions. It helps us do calculations in a standard sequence so the answer is always correct.

The full form of BODMAS is: Brackets -> Orders -> Division -> Multiplication -> Addition -> Subtraction

This order must be followed because changing it can change the final answer (and the answer will be wrong)

10 Quick BODMAS Questions

1. 12 + 3 × 4
2. 20 − 8 ÷ 2
3. (5 + 7) × 3
4. 36 ÷ 6 + 8
5. 18 − (4 × 2)
6. 25 + 5²
7. 48 ÷ (4 + 2)
8. 60 − 3 × 8
9. 100 ÷ 5 × 2
10. (15 − 5) × 4
    
    

Table of Contents

• What is the BODMAS Rule?
• How to Solve BODMAS Questions?
• Simple BODMAS Questions
• 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.

Order of operations according to the BODMAS rule:

1. Brackets
2. Orders - Powers and roots
3. Division
4. Multiplication
5. Addition
6. Subtraction
   
   

How to Solve BODMAS Questions?

Step 1: Brackets

Always start with the numbers inside brackets.

Example: (8 + 2) × 3

First solve: 8 + 2 = 10

Then multiply: 10 × 3 = 30

Step 2: Orders

Orders include squares, cubes, and square roots.

Example: 2 + 4²

First solve: 4² = 16

Then: 2 + 16 = 18

Step 3: Division and Multiplication

Division and multiplication are solved from left to right.

Example: 24 ÷ 6 × 2

24 ÷ 6 = 4

4 × 2 = 8

Step 4: Addition and Subtraction

Addition and subtraction are solved from left to right.

Example: 20 - 5 + 3

20 - 5 = 15

15 + 3 = 18

Read more:

• Important Questions on Class 10 Maths
• Is 5 a Prime Number
  
  

Simple BODMAS Questions

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 Questions for Class 4

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

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

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 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

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 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

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: Solve 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

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. ((2⁴ + 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