This Order of Operations maze worksheet guides students through complex expressions by shading the correct path of answers in green.
Order of operations maze worksheet with green path showing correct answers for PEMDAS problems.
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Show Answer Key & Explanations
Step-by-step solution for: Order of Operation: Riddle and Maze | Made By Teachers
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Show Answer Key & Explanations
Step-by-step solution for: Order of Operation: Riddle and Maze | Made By Teachers
Let's solve this Order of Operations Maze step by step. The goal is to start at the "START HERE!" square, evaluate each expression correctly using the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division from left to right, Addition/Subtraction from left to right), and follow the path where the answer matches the number on the connecting line. We'll shade the correct path until we reach "FINISHED!"
---
Expression:
$$
40 \div 4 - (5 - 3)
$$
- First, parentheses: $5 - 3 = 2$
- Then division: $40 \div 4 = 10$
- Then subtraction: $10 - 2 = 8$
✔ Answer: 8
Now look for the box connected to "Start Here!" with a value of 8.
From the maze:
- There's a green box labeled 8 below the start box, which leads to:
$$
\frac{8}{5 - 1} \times (3 + 6) \times 3
$$
So we go to that box.
---
$$
\frac{8}{5 - 1} \times (3 + 6) \times 3
$$
- Parentheses: $5 - 1 = 4$, $3 + 6 = 9$
- Division: $\frac{8}{4} = 2$
- Now: $2 \times 9 \times 3 = 18 \times 3 = 54$
✔ Answer: 54
Look for the next box connected via 54.
From the maze:
- Below this box, there’s a 54 leading to:
$$
\frac{43 - 1}{4 + 2} + 10
$$
Go to that box.
---
$$
\frac{43 - 1}{4 + 2} + 10
$$
- Numerator: $43 - 1 = 42$
- Denominator: $4 + 2 = 6$
- Fraction: $42 \div 6 = 7$
- Add 10: $7 + 10 = 17$
✔ Answer: 17
Now look for the next box connected via 17.
From the maze:
- There’s a green box labeled 17, which connects to:
$$
8 \times 3 + 70 \div 7 - 7
$$
Go to that box.
---
$$
8 \times 3 + 70 \div 7 - 7
$$
- Multiplication: $8 \times 3 = 24$
- Division: $70 \div 7 = 10$
- Now: $24 + 10 - 7 = 34 - 7 = 27$
✔ Answer: 27
Now find the next box connected via 27.
From the maze:
- A green box labeled 27 leads to:
$$
(-2 \times 2^3 \times 2) \div (-4)
$$
Go to that box.
---
$$
(-2 \times 2^3 \times 2) \div (-4)
$$
- Exponent: $2^3 = 8$
- Now: $-2 \times 8 \times 2 = -32$
- Divide: $-32 \div (-4) = 8$
✔ Answer: 8
Now find the next box connected via 8.
From the maze:
- There's a box with 8 going to:
$$
4 \times 5 + (14 + 8) - 36 \div 9
$$
Go to that box.
---
$$
4 \times 5 + (14 + 8) - 36 \div 9
$$
- Multiplication: $4 \times 5 = 20$
- Parentheses: $14 + 8 = 22$
- Division: $36 \div 9 = 4$
- Now: $20 + 22 - 4 = 42 - 4 = 38$
✔ Answer: 38
Now look for the next box connected via 38.
From the maze:
- A green box labeled 38 connects to:
$$
5(-5 + 6) \times 6^2
$$
Go to that box.
---
$$
5(-5 + 6) \times 6^2
$$
- Parentheses: $-5 + 6 = 1$
- Exponent: $6^2 = 36$
- Now: $5 \times 1 \times 36 = 5 \times 36 = 180$
✔ Answer: 180
Now look for the next box connected via 180.
From the maze:
- A green box labeled 180 connects to:
$$
\text{FINISHED!}
$$
✔ We've reached the end!
---
We followed this sequence:
1. Start: $40 \div 4 - (5 - 3) = 8$ → 8
2. $\frac{8}{5-1} \times (3+6) \times 3 = 54$ → 54
3. $\frac{43-1}{4+2} + 10 = 17$ → 17
4. $8 \times 3 + 70 \div 7 - 7 = 27$ → 27
5. $(-2 \times 2^3 \times 2) \div (-4) = 8$ → 8
6. $4 \times 5 + (14 + 8) - 36 \div 9 = 38$ → 38
7. $5(-5 + 6) \times 6^2 = 180$ → 180
8. FINISHED!
---
The path goes through:
- Start → 8 → 54 → 17 → 27 → 8 → 38 → 180 → FINISHED!
All these numbers are shown in green boxes in the maze, confirming the correct path.
---
You successfully navigate the maze by evaluating each expression using the order of operations, following the answers:
8 → 54 → 17 → 27 → 8 → 38 → 180 → FINISHED!
This is the correct solution. 🎉
---
🔹 Step 1: Start Here!
Expression:
$$
40 \div 4 - (5 - 3)
$$
- First, parentheses: $5 - 3 = 2$
- Then division: $40 \div 4 = 10$
- Then subtraction: $10 - 2 = 8$
✔ Answer: 8
Now look for the box connected to "Start Here!" with a value of 8.
From the maze:
- There's a green box labeled 8 below the start box, which leads to:
$$
\frac{8}{5 - 1} \times (3 + 6) \times 3
$$
So we go to that box.
---
🔹 Step 2: Evaluate
$$
\frac{8}{5 - 1} \times (3 + 6) \times 3
$$
- Parentheses: $5 - 1 = 4$, $3 + 6 = 9$
- Division: $\frac{8}{4} = 2$
- Now: $2 \times 9 \times 3 = 18 \times 3 = 54$
✔ Answer: 54
Look for the next box connected via 54.
From the maze:
- Below this box, there’s a 54 leading to:
$$
\frac{43 - 1}{4 + 2} + 10
$$
Go to that box.
---
🔹 Step 3: Evaluate
$$
\frac{43 - 1}{4 + 2} + 10
$$
- Numerator: $43 - 1 = 42$
- Denominator: $4 + 2 = 6$
- Fraction: $42 \div 6 = 7$
- Add 10: $7 + 10 = 17$
✔ Answer: 17
Now look for the next box connected via 17.
From the maze:
- There’s a green box labeled 17, which connects to:
$$
8 \times 3 + 70 \div 7 - 7
$$
Go to that box.
---
🔹 Step 4: Evaluate
$$
8 \times 3 + 70 \div 7 - 7
$$
- Multiplication: $8 \times 3 = 24$
- Division: $70 \div 7 = 10$
- Now: $24 + 10 - 7 = 34 - 7 = 27$
✔ Answer: 27
Now find the next box connected via 27.
From the maze:
- A green box labeled 27 leads to:
$$
(-2 \times 2^3 \times 2) \div (-4)
$$
Go to that box.
---
🔹 Step 5: Evaluate
$$
(-2 \times 2^3 \times 2) \div (-4)
$$
- Exponent: $2^3 = 8$
- Now: $-2 \times 8 \times 2 = -32$
- Divide: $-32 \div (-4) = 8$
✔ Answer: 8
Now find the next box connected via 8.
From the maze:
- There's a box with 8 going to:
$$
4 \times 5 + (14 + 8) - 36 \div 9
$$
Go to that box.
---
🔹 Step 6: Evaluate
$$
4 \times 5 + (14 + 8) - 36 \div 9
$$
- Multiplication: $4 \times 5 = 20$
- Parentheses: $14 + 8 = 22$
- Division: $36 \div 9 = 4$
- Now: $20 + 22 - 4 = 42 - 4 = 38$
✔ Answer: 38
Now look for the next box connected via 38.
From the maze:
- A green box labeled 38 connects to:
$$
5(-5 + 6) \times 6^2
$$
Go to that box.
---
🔹 Step 7: Evaluate
$$
5(-5 + 6) \times 6^2
$$
- Parentheses: $-5 + 6 = 1$
- Exponent: $6^2 = 36$
- Now: $5 \times 1 \times 36 = 5 \times 36 = 180$
✔ Answer: 180
Now look for the next box connected via 180.
From the maze:
- A green box labeled 180 connects to:
$$
\text{FINISHED!}
$$
✔ We've reached the end!
---
✔ Final Path:
We followed this sequence:
1. Start: $40 \div 4 - (5 - 3) = 8$ → 8
2. $\frac{8}{5-1} \times (3+6) \times 3 = 54$ → 54
3. $\frac{43-1}{4+2} + 10 = 17$ → 17
4. $8 \times 3 + 70 \div 7 - 7 = 27$ → 27
5. $(-2 \times 2^3 \times 2) \div (-4) = 8$ → 8
6. $4 \times 5 + (14 + 8) - 36 \div 9 = 38$ → 38
7. $5(-5 + 6) \times 6^2 = 180$ → 180
8. FINISHED!
---
🟩 Shaded Path (in green in original image):
The path goes through:
- Start → 8 → 54 → 17 → 27 → 8 → 38 → 180 → FINISHED!
All these numbers are shown in green boxes in the maze, confirming the correct path.
---
✔ Answer:
You successfully navigate the maze by evaluating each expression using the order of operations, following the answers:
8 → 54 → 17 → 27 → 8 → 38 → 180 → FINISHED!
This is the correct solution. 🎉
Parent Tip: Review the logic above to help your child master the concept of order of operations puzzle worksheet.