6th Grade Order of Operations Worksheets - Free Printable

To solve these problems, we need to follow the Order of Operations rule. A common way to remember this is BODMAS or PEMDAS:

1. P/B (Brackets/Parentheses): Do calculations inside brackets first.
2. O/E (Orders/Exponents): Solve powers and square roots (none in this worksheet).
3. D/M (Division and Multiplication): Do these from left to right.
4. A/S (Addition and Subtraction): Do these last, from left to right.

Let's work through a few examples step-by-step to find the correct answers:

Problem 1: $14 - 2 \times 5$
* First, do the multiplication: $2 \times 5 = 10$.
* Next, do the subtraction: $14 - 10 = 4$.
* The answer is 4 (Option A).

Problem 6: $15 + 4 \times 10 - 5$
* First, do the multiplication: $4 \times 10 = 40$.
* Now add and subtract from left to right: $15 + 40 = 55$.
* Finally, subtract 5: $55 - 5 = 50$.
* The answer is 50 (Option B).

Problem 11: $3 \times (9 - 5) + 6$
* First, look at the brackets: $(9 - 5) = 4$.
* Now the problem is: $3 \times 4 + 6$.
* Do the multiplication next: $3 \times 4 = 12$.
* Finally, add 6: $12 + 6 = 18$.
* The answer is 18 (Option B).

Problem 15: $18 + 12 \div (15 - 11)$
* First, solve the brackets: $(15 - 11) = 4$.
* Now the problem is: $18 + 12 \div 4$.
* Division comes before addition, so calculate $12 \div 4 = 3$.
* Finally, add 18: $18 + 3 = 21$.
* The answer is 21 (Option A).

Here are the solutions for all 20 problems based on these rules:

Final Answer:
1) A (4)
2) B (2)
3) B (19)
4) A (4)
5) B (9)
6) B (50)
7) A (9)
8) C (11)
9) C (4)
10) B (54)
11) B (18)
12) C (60)
13) A (1)
14) B (70)
15) A (21)
16) A (4)
17) C (14)
18) B (13)
19) A (6)
20) B (3)