Two Digit Addition Regrouping Worksheet - Free Printable
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Step-by-step solution for: Two Digit Addition Regrouping Worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Two Digit Addition Regrouping Worksheet
Let's solve the Addition Maze #5 step by step.
---
Help the mouse get to the cheese by solving each addition problem. Then, color all the sums that are less than 100 to reveal the mouse’s path to the cheese.
We need to:
1. Add each pair of numbers.
2. Check if the sum is less than 100.
3. Color only those boxes where the sum < 100 (these form the path).
4. The colored boxes will show the correct route from the mouse to the cheese.
---
We'll go through each box and compute the sum.
#### Row 1:
1. `84 + 87 = 171` → >100 → ✘ (don't color)
2. `53 + 68 = 121` → >100 → ✘
3. `88 + 22 = 110` → >100 → ✘
#### Row 2:
4. `63 + 29 = 92` → <100 → ✔ (color)
5. `34 + 74 = 108` → >100 → ✘
6. `68 + 83 = 151` → >100 → ✘
7. `56 + 86 = 142` → >100 → ✘
#### Row 3:
8. `57 + 28 = 85` → <100 → ✔ (color)
9. `34 + 58 = 92` → <100 → ✔ (color)
10. `19 + 19 = 38` → <100 → ✔ (color)
11. `26 + 95 = 121` → >100 → ✘
#### Row 4:
12. `85 + 46 = 131` → >100 → ✘
13. `52 + 84 = 136` → >100 → ✘
14. `65 + 25 = 90` → <100 → ✔ (color)
---
- Box 4: `63 + 29 = 92`
- Box 8: `57 + 28 = 85`
- Box 9: `34 + 58 = 92`
- Box 10: `19 + 19 = 38`
- Box 14: `65 + 25 = 90`
---
Now let's map out the maze visually.
The grid looks like this (with positions):
```
Row 1: [84+87] [53+68] [88+22]
Row 2: [63+29] [34+74] [68+83] [56+86]
Row 3: [57+28] [34+58] [19+19] [26+95]
Row 4: [85+46] [52+84] [65+25]
```
But based on layout, it seems like a grid with 3 columns, but row 2 has 4 boxes? Let's assume it's arranged in a 4-row, 3-column grid with the mouse at top-left and cheese at bottom-right.
Wait — looking again:
Actually, the image likely has:
- 4 rows
- 3 columns
- But some rows have more boxes?
Wait — rechecking:
Looking at the structure:
It appears as:
```
[84+87] [53+68] [88+22]
[63+29] [34+74] [68+83] [56+86] ← This row has 4 boxes?
[57+28] [34+58] [19+19] [26+95]
[85+46] [52+84] [65+25]
```
Wait — perhaps it's not a regular grid. Maybe it's a path-like maze with multiple entries per row.
But from standard design of such mazes, it's likely a 3-column grid with 4 rows, and the extra boxes are misaligned.
Alternatively, perhaps the second row has four boxes due to spacing.
But let's consider the positions and try to trace the path.
Assuming the maze is laid out in columns, and we can move down or right, or adjacent.
But since it's called a "maze", the idea is that you start at the mouse and follow only the boxes where the sum is < 100.
So let's list the valid ones again:
- Box A: `63 + 29 = 92` → ✔ (row 2, col 1)
- Box B: `57 + 28 = 85` → ✔ (row 3, col 1)
- Box C: `34 + 58 = 92` → ✔ (row 3, col 2)
- Box D: `19 + 19 = 38` → ✔ (row 3, col 3)
- Box E: `65 + 25 = 90` → ✔ (row 4, col 3)
Now let's see how they connect.
Start from mouse (top-left), which is near `84+87`, but that's invalid (171 > 100). So mouse must be next to a valid box.
Wait — maybe the mouse is outside, and the first valid box is `63+29 = 92` → ✔
So possible path:
1. Start at 63 + 29 = 92 → ✔ (bottom of row 2, left column)
2. Move down to 57 + 28 = 85 → ✔ (row 3, col 1)
3. Move right to 34 + 58 = 92 → ✔ (row 3, col 2)
4. Move right to 19 + 19 = 38 → ✔ (row 3, col 3)
5. Move down to 65 + 25 = 90 → ✔ (row 4, col 3) → cheese
✔ That forms a clear path!
Now check if any other boxes could be part of the path.
Other valid sums:
- None in row 1
- `34+74 = 108` → invalid
- `68+83 = 151` → invalid
- `56+86 = 142` → invalid
- `26+95 = 121` → invalid
- `85+46 = 131` → invalid
- `52+84 = 136` → invalid
Only the five we listed are valid.
So the path is:
👉 63+29 → 57+28 → 34+58 → 19+19 → 65+25
This connects from the left side (near the mouse) to the bottom-right (where the cheese is).
---
Color these boxes:
- `63 + 29 = 92`
- `57 + 28 = 85`
- `34 + 58 = 92`
- `19 + 19 = 38`
- `65 + 25 = 90`
These form a continuous path from the mouse to the cheese.
---
- Only sums less than 100 are part of the path.
- All others (sum ≥ 100) are blocked.
- The only connected chain of valid sums leads from the left to the bottom-right corner.
- Thus, coloring these reveals the correct path.
🎉 The mouse reaches the cheese!
---
🧩 Goal of the Puzzle:
Help the mouse get to the cheese by solving each addition problem. Then, color all the sums that are less than 100 to reveal the mouse’s path to the cheese.
We need to:
1. Add each pair of numbers.
2. Check if the sum is less than 100.
3. Color only those boxes where the sum < 100 (these form the path).
4. The colored boxes will show the correct route from the mouse to the cheese.
---
🔢 Step-by-Step Addition:
We'll go through each box and compute the sum.
#### Row 1:
1. `84 + 87 = 171` → >100 → ✘ (don't color)
2. `53 + 68 = 121` → >100 → ✘
3. `88 + 22 = 110` → >100 → ✘
#### Row 2:
4. `63 + 29 = 92` → <100 → ✔ (color)
5. `34 + 74 = 108` → >100 → ✘
6. `68 + 83 = 151` → >100 → ✘
7. `56 + 86 = 142` → >100 → ✘
#### Row 3:
8. `57 + 28 = 85` → <100 → ✔ (color)
9. `34 + 58 = 92` → <100 → ✔ (color)
10. `19 + 19 = 38` → <100 → ✔ (color)
11. `26 + 95 = 121` → >100 → ✘
#### Row 4:
12. `85 + 46 = 131` → >100 → ✘
13. `52 + 84 = 136` → >100 → ✘
14. `65 + 25 = 90` → <100 → ✔ (color)
---
✔ Sums Less Than 100 (Color These):
- Box 4: `63 + 29 = 92`
- Box 8: `57 + 28 = 85`
- Box 9: `34 + 58 = 92`
- Box 10: `19 + 19 = 38`
- Box 14: `65 + 25 = 90`
---
🐭 Path from Mouse to Cheese:
Now let's map out the maze visually.
The grid looks like this (with positions):
```
Row 1: [84+87] [53+68] [88+22]
Row 2: [63+29] [34+74] [68+83] [56+86]
Row 3: [57+28] [34+58] [19+19] [26+95]
Row 4: [85+46] [52+84] [65+25]
```
But based on layout, it seems like a grid with 3 columns, but row 2 has 4 boxes? Let's assume it's arranged in a 4-row, 3-column grid with the mouse at top-left and cheese at bottom-right.
Wait — looking again:
Actually, the image likely has:
- 4 rows
- 3 columns
- But some rows have more boxes?
Wait — rechecking:
Looking at the structure:
It appears as:
```
[84+87] [53+68] [88+22]
[63+29] [34+74] [68+83] [56+86] ← This row has 4 boxes?
[57+28] [34+58] [19+19] [26+95]
[85+46] [52+84] [65+25]
```
Wait — perhaps it's not a regular grid. Maybe it's a path-like maze with multiple entries per row.
But from standard design of such mazes, it's likely a 3-column grid with 4 rows, and the extra boxes are misaligned.
Alternatively, perhaps the second row has four boxes due to spacing.
But let's consider the positions and try to trace the path.
Assuming the maze is laid out in columns, and we can move down or right, or adjacent.
But since it's called a "maze", the idea is that you start at the mouse and follow only the boxes where the sum is < 100.
So let's list the valid ones again:
- Box A: `63 + 29 = 92` → ✔ (row 2, col 1)
- Box B: `57 + 28 = 85` → ✔ (row 3, col 1)
- Box C: `34 + 58 = 92` → ✔ (row 3, col 2)
- Box D: `19 + 19 = 38` → ✔ (row 3, col 3)
- Box E: `65 + 25 = 90` → ✔ (row 4, col 3)
Now let's see how they connect.
Start from mouse (top-left), which is near `84+87`, but that's invalid (171 > 100). So mouse must be next to a valid box.
Wait — maybe the mouse is outside, and the first valid box is `63+29 = 92` → ✔
So possible path:
1. Start at 63 + 29 = 92 → ✔ (bottom of row 2, left column)
2. Move down to 57 + 28 = 85 → ✔ (row 3, col 1)
3. Move right to 34 + 58 = 92 → ✔ (row 3, col 2)
4. Move right to 19 + 19 = 38 → ✔ (row 3, col 3)
5. Move down to 65 + 25 = 90 → ✔ (row 4, col 3) → cheese
✔ That forms a clear path!
Now check if any other boxes could be part of the path.
Other valid sums:
- None in row 1
- `34+74 = 108` → invalid
- `68+83 = 151` → invalid
- `56+86 = 142` → invalid
- `26+95 = 121` → invalid
- `85+46 = 131` → invalid
- `52+84 = 136` → invalid
Only the five we listed are valid.
So the path is:
👉 63+29 → 57+28 → 34+58 → 19+19 → 65+25
This connects from the left side (near the mouse) to the bottom-right (where the cheese is).
---
✔ Final Answer:
Color these boxes:
- `63 + 29 = 92`
- `57 + 28 = 85`
- `34 + 58 = 92`
- `19 + 19 = 38`
- `65 + 25 = 90`
These form a continuous path from the mouse to the cheese.
---
🧠 Explanation:
- Only sums less than 100 are part of the path.
- All others (sum ≥ 100) are blocked.
- The only connected chain of valid sums leads from the left to the bottom-right corner.
- Thus, coloring these reveals the correct path.
🎉 The mouse reaches the cheese!
Parent Tip: Review the logic above to help your child master the concept of addition regrouping worksheets.