Order of Operations PEMDAS Speed Solving Activity for 3rd-5th Grade - Free Printable

The image shows a worksheet titled "Order of Operations Speed Challenge," which is designed to test students' ability to solve mathematical expressions using the order of operations (PEMDAS). The tasks involve solving arithmetic problems as quickly as possible, with penalties for errors. Below is an explanation of how to approach and solve these problems.

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Understanding PEMDAS

PEMDAS is an acronym that stands for:
1. P - Parentheses
2. E - Exponents
3. M - Multiplication
4. D - Division
5. A - Addition
6. S - Subtraction

When solving expressions, follow this order to ensure accuracy.

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Steps to Solve Each Problem

1. Identify Parentheses: Solve any expressions inside parentheses first.
2. Handle Exponents: Next, calculate any exponents.
3. Perform Multiplication and Division: Work from left to right.
4. Perform Addition and Subtraction: Again, work from left to right.

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Example Problems and Solutions

#### Problem 1: \( 25 + 5 \times 5 \)
- Step 1: Perform multiplication first (\( 5 \times 5 = 25 \)).
- Step 2: Add the result to 25 (\( 25 + 25 = 50 \)).
- Answer: \( 50 \)

#### Problem 2: \( 6 + 6 \times 6 \)
- Step 1: Perform multiplication first (\( 6 \times 6 = 36 \)).
- Step 2: Add the result to 6 (\( 6 + 36 = 42 \)).
- Answer: \( 42 \)

#### Problem 3: \( 9 \times 9 + 9 \)
- Step 1: Perform multiplication first (\( 9 \times 9 = 81 \)).
- Step 2: Add 9 to the result (\( 81 + 9 = 90 \)).
- Answer: \( 90 \)

#### Problem 4: \( 65 \div (2 + 3) \)
- Step 1: Solve the expression inside the parentheses (\( 2 + 3 = 5 \)).
- Step 2: Perform division (\( 65 \div 5 = 13 \)).
- Answer: \( 13 \)

#### Problem 5: \( 7 \times 8 + 6 \)
- Step 1: Perform multiplication first (\( 7 \times 8 = 56 \)).
- Step 2: Add 6 to the result (\( 56 + 6 = 62 \)).
- Answer: \( 62 \)

#### Problem 6: \( (9 \times 3) + (5 \times 5) \)
- Step 1: Solve each set of parentheses:
- \( 9 \times 3 = 27 \)
- \( 5 \times 5 = 25 \)
- Step 2: Add the results (\( 27 + 25 = 52 \)).
- Answer: \( 52 \)

#### Problem 7: \( 8^2 + 6 \times 3 \)
- Step 1: Calculate the exponent (\( 8^2 = 64 \)).
- Step 2: Perform multiplication (\( 6 \times 3 = 18 \)).
- Step 3: Add the results (\( 64 + 18 = 82 \)).
- Answer: \( 82 \)

#### Problem 8: \( 15 \times (5 + 3) \)
- Step 1: Solve the expression inside the parentheses (\( 5 + 3 = 8 \)).
- Step 2: Perform multiplication (\( 15 \times 8 = 120 \)).
- Answer: \( 120 \)

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General Tips

- Always follow the PEMDAS order strictly.
- Be careful with parentheses; they dictate the priority of calculations.
- Work step by step to avoid mistakes.

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Final Answer

To complete the worksheet, solve each problem using the steps outlined above. The answers will vary based on the specific problems provided in the worksheet. If you need solutions for specific problems, feel free to ask!

Boxed Final Answer:
\[
\boxed{\text{Solve each problem using PEMDAS, following the steps above.}}
\]