Order of Operations Math Worksheets - Free Printable

Here are the step-by-step solutions for each problem using the BODMAS rule (Brackets, Orders, Division/Multiplication, Addition/Subtraction).

1) $6 \times 2 + (4 + 21 \times 7) \times 2$
* Step 1: Inside the brackets, do multiplication first: $21 \times 7 = 147$.
* Step 2: Finish the bracket: $4 + 147 = 151$.
* Step 3: Do the multiplications outside: $6 \times 2 = 12$ and $151 \times 2 = 302$.
* Step 4: Add them together: $12 + 302 = 314$.

2) $4 \times 10 \div 5 \times (3 \times 7) \div 21$
* Step 1: Solve the bracket: $(3 \times 7) = 21$.
* Step 2: Work from left to right with multiplication and division.
* $4 \times 10 = 40$
* $40 \div 5 = 8$
* $8 \times 21 = 168$
* $168 \div 21 = 8$

3) $10 \times 2 \div 4 + (32 \times 10) - 26$
* Step 1: Solve the bracket: $32 \times 10 = 320$.
* Step 2: Do the multiplication and division on the left: $10 \times 2 = 20$, then $20 \div 4 = 5$.
* Step 3: Add and subtract from left to right: $5 + 320 = 325$, then $325 - 26 = 299$.

4) $30 - 20 + (35 \times 5 - 22) \times 7$
* Step 1: Inside the bracket, multiply first: $35 \times 5 = 175$.
* Step 2: Finish the bracket: $175 - 22 = 153$.
* Step 3: Multiply by 7: $153 \times 7 = 1071$.
* Step 4: Add and subtract the rest: $30 - 20 = 10$, then $10 + 1071 = 1081$.

5) $5 \times 9 + 40 + 24 \div (6 + 18)$
* Step 1: Solve the bracket: $6 + 18 = 24$.
* Step 2: Do multiplication and division: $5 \times 9 = 45$ and $24 \div 24 = 1$.
* Step 3: Add everything up: $45 + 40 + 1 = 86$.

6) $18 + 8 + 19 + (29 + 19) - 9$
* Step 1: Solve the bracket: $29 + 19 = 48$.
* Step 2: Add and subtract from left to right:
* $18 + 8 = 26$
* $26 + 19 = 45$
* $45 + 48 = 93$
* $93 - 9 = 84$

7) $(9 - 9) \div 56 \div 47 \div 81 \div 67$
* Step 1: Solve the bracket: $9 - 9 = 0$.
* Step 2: Since the first number is 0 and we are dividing, the answer is just 0 ($0 \div \text{anything} = 0$).

8) $30 + 17 - 3 - (30 \div 2) + 6$
* Step 1: Solve the bracket: $30 \div 2 = 15$.
* Step 2: Add and subtract from left to right:
* $30 + 17 = 47$
* $47 - 3 = 44$
* $44 - 15 = 29$
* $29 + 6 = 35$

9) $10 \times 3 - 7 - (4 \times 5 \div 4)$
* Step 1: Inside the bracket, work left to right: $4 \times 5 = 20$, then $20 \div 4 = 5$.
* Step 2: Do the multiplication outside: $10 \times 3 = 30$.
* Step 3: Subtract from left to right: $30 - 7 = 23$, then $23 - 5 = 18$.

10) $2 + 39 \times (10 + 23) + 37 - 13$
* Step 1: Solve the bracket: $10 + 23 = 33$.
* Step 2: Multiply: $39 \times 33 = 1287$.
* Step 3: Add and subtract from left to right:
* $2 + 1287 = 1289$
* $1289 + 37 = 1326$
* $1326 - 13 = 1313$

11) $(40 - 4 \times 1 \times 8 + 5) \times 3$
* Step 1: Inside the bracket, do multiplication first: $4 \times 1 \times 8 = 32$.
* Step 2: Finish the bracket addition/subtraction: $40 - 32 = 8$, then $8 + 5 = 13$.
* Step 3: Multiply by 3: $13 \times 3 = 39$.

12) $30 + 26 + 27 \times 2 - 39 \div 13$
* Step 1: Do multiplication and division first:
* $27 \times 2 = 54$
* $39 \div 13 = 3$
* Step 2: Add and subtract from left to right:
* $30 + 26 = 56$
* $56 + 54 = 110$
* $110 - 3 = 107$

Final Answer:
1) 314
2) 8
3) 299
4) 1081
5) 86
6) 84
7) 0
8) 35
9) 18
10) 1313
11) 39
12) 107