Math addition puzzle worksheet for elementary students.
A math worksheet featuring six grids with addition problems, where students calculate row and column sums.
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Show Answer Key & Explanations
Step-by-step solution for: Free printable math games | Math worksheets, Math puzzles middle ...
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Show Answer Key & Explanations
Step-by-step solution for: Free printable math games | Math worksheets, Math puzzles middle ...
You're looking at a math puzzle grid designed to practice addition and summing rows and columns. The instructions say:
> *Calculate each row of the puzzle. Fill the results in the column on the right.
> Calculate each column of the puzzle. Fill the results in the row on the bottom.*
This is essentially a 3x3 addition grid where:
- Each row adds up its three numbers → result goes in the rightmost cell of that row.
- Each column adds up its three numbers → result goes in the bottom cell of that column.
There are 6 such grids on the page. Let’s solve them one by one.
---
## ✔ Grid 1 (Top Left)
```
5 + 5 + 2 = ?
4 + 2 + 5 = ?
5 + 5 + 2 = ?
```
Row sums:
- Row 1: 5 + 5 + 2 = 12
- Row 2: 4 + 2 + 5 = 11
- Row 3: 5 + 5 + 2 = 12
Column sums:
- Col 1: 5 + 4 + 5 = 14
- Col 2: 5 + 2 + 5 = 12
- Col 3: 2 + 5 + 2 = 9
✔ Final answers for Grid 1:
- Right column: 12, 11, 12
- Bottom row: 14, 12, 9
---
## ✔ Grid 2 (Top Right)
```
4 + 4 + 1 = ?
4 + 4 + 4 = ?
4 + 3 + 5 = ?
```
Row sums:
- Row 1: 4 + 4 + 1 = 9
- Row 2: 4 + 4 + 4 = 12
- Row 3: 4 + 3 + 5 = 12
Column sums:
- Col 1: 4 + 4 + 4 = 12
- Col 2: 4 + 4 + 3 = 11
- Col 3: 1 + 4 + 5 = 10
✔ Final answers for Grid 2:
- Right column: 9, 12, 12
- Bottom row: 12, 11, 10
---
## ✔ Grid 3 (Middle Left)
```
3 + 1 + 5 = ?
3 + 5 + 3 = ?
4 + 4 + 4 = ?
```
Row sums:
- Row 1: 3 + 1 + 5 = 9
- Row 2: 3 + 5 + 3 = 11
- Row 3: 4 + 4 + 4 = 12
Column sums:
- Col 1: 3 + 3 + 4 = 10
- Col 2: 1 + 5 + 4 = 10
- Col 3: 5 + 3 + 4 = 12
✔ Final answers for Grid 3:
- Right column: 9, 11, 12
- Bottom row: 10, 10, 12
---
## ✔ Grid 4 (Middle Right)
```
4 + 5 + 3 = ?
4 + 4 + 1 = ?
3 + 4 + 3 = ?
```
Row sums:
- Row 1: 4 + 5 + 3 = 12
- Row 2: 4 + 4 + 1 = 9
- Row 3: 3 + 4 + 3 = 10
Column sums:
- Col 1: 4 + 4 + 3 = 11
- Col 2: 5 + 4 + 4 = 13
- Col 3: 3 + 1 + 3 = 7
✔ Final answers for Grid 4:
- Right column: 12, 9, 10
- Bottom row: 11, 13, 7
---
## ✔ Grid 5 (Bottom Left)
```
1 + 5 + 2 = ?
1 + 3 + 4 = ?
5 + 4 + 2 = ?
```
Row sums:
- Row 1: 1 + 5 + 2 = 8
- Row 2: 1 + 3 + 4 = 8
- Row 3: 5 + 4 + 2 = 11
Column sums:
- Col 1: 1 + 1 + 5 = 7
- Col 2: 5 + 3 + 4 = 12
- Col 3: 2 + 4 + 2 = 8
✔ Final answers for Grid 5:
- Right column: 8, 8, 11
- Bottom row: 7, 12, 8
---
## ✔ Grid 6 (Bottom Right)
```
3 + 1 + 1 = ?
3 + 5 + 2 = ?
4 + 5 + 3 = ?
```
Row sums:
- Row 1: 3 + 1 + 1 = 5
- Row 2: 3 + 5 + 2 = 10
- Row 3: 4 + 5 + 3 = 12
Column sums:
- Col 1: 3 + 3 + 4 = 10
- Col 2: 1 + 5 + 5 = 11
- Col 3: 1 + 2 + 3 = 6
✔ Final answers for Grid 6:
- Right column: 5, 10, 12
- Bottom row: 10, 11, 6
---
## 📝 Summary of All Answers
Here’s how you would fill in the grids:
- Right column: 12, 11, 12
- Bottom row: 14, 12, 9
- Right column: 9, 12, 12
- Bottom row: 12, 11, 10
- Right column: 9, 11, 12
- Bottom row: 10, 10, 12
- Right column: 12, 9, 10
- Bottom row: 11, 13, 7
- Right column: 8, 8, 11
- Bottom row: 7, 12, 8
- Right column: 5, 10, 12
- Bottom row: 10, 11, 6
---
✔ Final Tip: You can double-check your work by verifying that the sum of all row totals equals the sum of all column totals — they should both equal the total sum of all 9 numbers in the grid.
For example, in Grid 1:
- Row totals: 12 + 11 + 12 = 35
- Column totals: 14 + 12 + 9 = 35 ✔️
This is a great way to catch errors!
Let me know if you’d like this formatted as a printable answer key or need it explained visually!
> *Calculate each row of the puzzle. Fill the results in the column on the right.
> Calculate each column of the puzzle. Fill the results in the row on the bottom.*
This is essentially a 3x3 addition grid where:
- Each row adds up its three numbers → result goes in the rightmost cell of that row.
- Each column adds up its three numbers → result goes in the bottom cell of that column.
There are 6 such grids on the page. Let’s solve them one by one.
---
## ✔ Grid 1 (Top Left)
```
5 + 5 + 2 = ?
4 + 2 + 5 = ?
5 + 5 + 2 = ?
```
Row sums:
- Row 1: 5 + 5 + 2 = 12
- Row 2: 4 + 2 + 5 = 11
- Row 3: 5 + 5 + 2 = 12
Column sums:
- Col 1: 5 + 4 + 5 = 14
- Col 2: 5 + 2 + 5 = 12
- Col 3: 2 + 5 + 2 = 9
✔ Final answers for Grid 1:
- Right column: 12, 11, 12
- Bottom row: 14, 12, 9
---
## ✔ Grid 2 (Top Right)
```
4 + 4 + 1 = ?
4 + 4 + 4 = ?
4 + 3 + 5 = ?
```
Row sums:
- Row 1: 4 + 4 + 1 = 9
- Row 2: 4 + 4 + 4 = 12
- Row 3: 4 + 3 + 5 = 12
Column sums:
- Col 1: 4 + 4 + 4 = 12
- Col 2: 4 + 4 + 3 = 11
- Col 3: 1 + 4 + 5 = 10
✔ Final answers for Grid 2:
- Right column: 9, 12, 12
- Bottom row: 12, 11, 10
---
## ✔ Grid 3 (Middle Left)
```
3 + 1 + 5 = ?
3 + 5 + 3 = ?
4 + 4 + 4 = ?
```
Row sums:
- Row 1: 3 + 1 + 5 = 9
- Row 2: 3 + 5 + 3 = 11
- Row 3: 4 + 4 + 4 = 12
Column sums:
- Col 1: 3 + 3 + 4 = 10
- Col 2: 1 + 5 + 4 = 10
- Col 3: 5 + 3 + 4 = 12
✔ Final answers for Grid 3:
- Right column: 9, 11, 12
- Bottom row: 10, 10, 12
---
## ✔ Grid 4 (Middle Right)
```
4 + 5 + 3 = ?
4 + 4 + 1 = ?
3 + 4 + 3 = ?
```
Row sums:
- Row 1: 4 + 5 + 3 = 12
- Row 2: 4 + 4 + 1 = 9
- Row 3: 3 + 4 + 3 = 10
Column sums:
- Col 1: 4 + 4 + 3 = 11
- Col 2: 5 + 4 + 4 = 13
- Col 3: 3 + 1 + 3 = 7
✔ Final answers for Grid 4:
- Right column: 12, 9, 10
- Bottom row: 11, 13, 7
---
## ✔ Grid 5 (Bottom Left)
```
1 + 5 + 2 = ?
1 + 3 + 4 = ?
5 + 4 + 2 = ?
```
Row sums:
- Row 1: 1 + 5 + 2 = 8
- Row 2: 1 + 3 + 4 = 8
- Row 3: 5 + 4 + 2 = 11
Column sums:
- Col 1: 1 + 1 + 5 = 7
- Col 2: 5 + 3 + 4 = 12
- Col 3: 2 + 4 + 2 = 8
✔ Final answers for Grid 5:
- Right column: 8, 8, 11
- Bottom row: 7, 12, 8
---
## ✔ Grid 6 (Bottom Right)
```
3 + 1 + 1 = ?
3 + 5 + 2 = ?
4 + 5 + 3 = ?
```
Row sums:
- Row 1: 3 + 1 + 1 = 5
- Row 2: 3 + 5 + 2 = 10
- Row 3: 4 + 5 + 3 = 12
Column sums:
- Col 1: 3 + 3 + 4 = 10
- Col 2: 1 + 5 + 5 = 11
- Col 3: 1 + 2 + 3 = 6
✔ Final answers for Grid 6:
- Right column: 5, 10, 12
- Bottom row: 10, 11, 6
---
## 📝 Summary of All Answers
Here’s how you would fill in the grids:
Grid 1:
- Right column: 12, 11, 12
- Bottom row: 14, 12, 9
Grid 2:
- Right column: 9, 12, 12
- Bottom row: 12, 11, 10
Grid 3:
- Right column: 9, 11, 12
- Bottom row: 10, 10, 12
Grid 4:
- Right column: 12, 9, 10
- Bottom row: 11, 13, 7
Grid 5:
- Right column: 8, 8, 11
- Bottom row: 7, 12, 8
Grid 6:
- Right column: 5, 10, 12
- Bottom row: 10, 11, 6
---
✔ Final Tip: You can double-check your work by verifying that the sum of all row totals equals the sum of all column totals — they should both equal the total sum of all 9 numbers in the grid.
For example, in Grid 1:
- Row totals: 12 + 11 + 12 = 35
- Column totals: 14 + 12 + 9 = 35 ✔️
This is a great way to catch errors!
Let me know if you’d like this formatted as a printable answer key or need it explained visually!
Parent Tip: Review the logic above to help your child master the concept of fun math worksheet for middle school free.