Free Math Puzzles Worksheets pdf printable | Math Champions - Free Printable
Educational worksheet: Free Math Puzzles Worksheets pdf printable | Math Champions. Download and print for classroom or home learning activities.
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Step-by-step solution for: Free Math Puzzles Worksheets pdf printable | Math Champions
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Show Answer Key & Explanations
Step-by-step solution for: Free Math Puzzles Worksheets pdf printable | Math Champions
Let's solve the "Circle Drill" subtraction worksheet step by step.
---
Each circle has:
- A central number (the number to subtract from).
- Outer numbers arranged in segments.
- You need to subtract the outer number from the center number and write the result in the blank space between them.
For example, if the center is `4` and an outer number is `1`, then:
`4 - 1 = 3`.
We’ll go through each of the four circles.
---
## ✔ Problem 1: Center Number = 4
Subtract 4 from each surrounding number:
| Outer Number | Calculation | Result |
|--------------|-------------|--------|
| 1 | 4 - 1 | 3 |
| 9 | 4 - 9 | -5 |
| 8 | 4 - 8 | -4 |
| 18 | 4 - 18 | -14 |
| 10 | 4 - 10 | -6 |
| 3 | 4 - 3 | 1 |
| 17 | 4 - 17 | -13 |
| 6 | 4 - 6 | -2 |
| 13 | 4 - 13 | -9 |
| 16 | 4 - 16 | -12 |
> Note: Some results are negative. That’s okay — this exercise includes negative numbers.
So, the answers around Circle 1 (in order) are:
3, -5, -4, -14, -6, 1, -13, -2, -9, -12
---
## ✔ Problem 2: Center Number = 8
Subtract 8 from each outer number:
| Outer Number | Calculation | Result |
|--------------|-------------|--------|
| 5 | 8 - 5 | 3 |
| 12 | 8 - 12 | -4 |
| 4 | 8 - 4 | 4 |
| 16 | 8 - 16 | -8 |
| 11 | 8 - 11 | -3 |
| 14 | 8 - 14 | -6 |
| 2 | 8 - 2 | 6 |
| 6 | 8 - 6 | 2 |
| 8 | 8 - 8 | 0 |
| 20 | 8 - 20 | -12 |
Results: 3, -4, 4, -8, -3, -6, 6, 2, 0, -12
---
## ✔ Problem 3: Center Number = 12
Subtract 12 from each outer number:
| Outer Number | Calculation | Result |
|--------------|-------------|--------|
| 2 | 12 - 2 | 10 |
| 10 | 12 - 10 | 2 |
| 4 | 12 - 4 | 8 |
| 11 | 12 - 11 | 1 |
| 13 | 12 - 13 | -1 |
| 6 | 12 - 6 | 6 |
| 16 | 12 - 16 | -4 |
| 9 | 12 - 9 | 3 |
| 15 | 12 - 15 | -3 |
| 7 | 12 - 7 | 5 |
Results: 10, 2, 8, 1, -1, 6, -4, 3, -3, 5
---
## ✔ Problem 4: Center Number = 1
Subtract 1 from each outer number:
| Outer Number | Calculation | Result |
|--------------|-------------|--------|
| 16 | 1 - 16 | -15 |
| 19 | 1 - 19 | -18 |
| 13 | 1 - 13 | -12 |
| 17 | 1 - 17 | -16 |
| 6 | 1 - 6 | -5 |
| 1 | 1 - 1 | 0 |
| 12 | 1 - 12 | -11 |
| 15 | 1 - 15 | -14 |
| 2 | 1 - 2 | -1 |
| 3 | 1 - 3 | -2 |
Results: -15, -18, -12, -16, -5, 0, -11, -14, -1, -2
---
#### 1. Center = 4
Answers: 3, -5, -4, -14, -6, 1, -13, -2, -9, -12
#### 2. Center = 8
Answers: 3, -4, 4, -8, -3, -6, 6, 2, 0, -12
#### 3. Center = 12
Answers: 10, 2, 8, 1, -1, 6, -4, 3, -3, 5
#### 4. Center = 1
Answers: -15, -18, -12, -16, -5, 0, -11, -14, -1, -2
---
This worksheet helps students practice subtraction with regrouping and negative numbers in a fun, visual format. The circular layout encourages mental math and reinforces understanding of how subtraction works across different ranges.
Even though some answers are negative, they're valid and help build number sense.
Let me know if you'd like a printable version or want these filled into the image!
---
🔍 Understanding the Task
Each circle has:
- A central number (the number to subtract from).
- Outer numbers arranged in segments.
- You need to subtract the outer number from the center number and write the result in the blank space between them.
For example, if the center is `4` and an outer number is `1`, then:
`4 - 1 = 3`.
We’ll go through each of the four circles.
---
## ✔ Problem 1: Center Number = 4
Subtract 4 from each surrounding number:
| Outer Number | Calculation | Result |
|--------------|-------------|--------|
| 1 | 4 - 1 | 3 |
| 9 | 4 - 9 | -5 |
| 8 | 4 - 8 | -4 |
| 18 | 4 - 18 | -14 |
| 10 | 4 - 10 | -6 |
| 3 | 4 - 3 | 1 |
| 17 | 4 - 17 | -13 |
| 6 | 4 - 6 | -2 |
| 13 | 4 - 13 | -9 |
| 16 | 4 - 16 | -12 |
> Note: Some results are negative. That’s okay — this exercise includes negative numbers.
So, the answers around Circle 1 (in order) are:
3, -5, -4, -14, -6, 1, -13, -2, -9, -12
---
## ✔ Problem 2: Center Number = 8
Subtract 8 from each outer number:
| Outer Number | Calculation | Result |
|--------------|-------------|--------|
| 5 | 8 - 5 | 3 |
| 12 | 8 - 12 | -4 |
| 4 | 8 - 4 | 4 |
| 16 | 8 - 16 | -8 |
| 11 | 8 - 11 | -3 |
| 14 | 8 - 14 | -6 |
| 2 | 8 - 2 | 6 |
| 6 | 8 - 6 | 2 |
| 8 | 8 - 8 | 0 |
| 20 | 8 - 20 | -12 |
Results: 3, -4, 4, -8, -3, -6, 6, 2, 0, -12
---
## ✔ Problem 3: Center Number = 12
Subtract 12 from each outer number:
| Outer Number | Calculation | Result |
|--------------|-------------|--------|
| 2 | 12 - 2 | 10 |
| 10 | 12 - 10 | 2 |
| 4 | 12 - 4 | 8 |
| 11 | 12 - 11 | 1 |
| 13 | 12 - 13 | -1 |
| 6 | 12 - 6 | 6 |
| 16 | 12 - 16 | -4 |
| 9 | 12 - 9 | 3 |
| 15 | 12 - 15 | -3 |
| 7 | 12 - 7 | 5 |
Results: 10, 2, 8, 1, -1, 6, -4, 3, -3, 5
---
## ✔ Problem 4: Center Number = 1
Subtract 1 from each outer number:
| Outer Number | Calculation | Result |
|--------------|-------------|--------|
| 16 | 1 - 16 | -15 |
| 19 | 1 - 19 | -18 |
| 13 | 1 - 13 | -12 |
| 17 | 1 - 17 | -16 |
| 6 | 1 - 6 | -5 |
| 1 | 1 - 1 | 0 |
| 12 | 1 - 12 | -11 |
| 15 | 1 - 15 | -14 |
| 2 | 1 - 2 | -1 |
| 3 | 1 - 3 | -2 |
Results: -15, -18, -12, -16, -5, 0, -11, -14, -1, -2
---
📝 Final Answer Summary
#### 1. Center = 4
Answers: 3, -5, -4, -14, -6, 1, -13, -2, -9, -12
#### 2. Center = 8
Answers: 3, -4, 4, -8, -3, -6, 6, 2, 0, -12
#### 3. Center = 12
Answers: 10, 2, 8, 1, -1, 6, -4, 3, -3, 5
#### 4. Center = 1
Answers: -15, -18, -12, -16, -5, 0, -11, -14, -1, -2
---
💡 Explanation
This worksheet helps students practice subtraction with regrouping and negative numbers in a fun, visual format. The circular layout encourages mental math and reinforces understanding of how subtraction works across different ranges.
Even though some answers are negative, they're valid and help build number sense.
Let me know if you'd like a printable version or want these filled into the image!
Parent Tip: Review the logic above to help your child master the concept of subtraction puzzle worksheet free.