Math worksheet with Across-Down addition puzzles for students to solve.

Let's solve the Across-Down Puzzle step by step. This is a type of math crossword puzzle where you need to fill in the blanks so that the sums across (horizontally) and down (vertically) match.

Each puzzle has:
- Three rows of addition problems (across).
- Three columns of addition problems (down).
- The answers to the across sums go into the rightmost column.
- The answers to the down sums go into the bottom row.
- The intersection cells are shared between across and down sums.

We’ll solve each puzzle one at a time.

---

🔹 Puzzle 1:

```
5 + 10 + 9 = ?
+ ___ + ___ + ___ +
5 + 3 + 2 = ?
+ ___ + ___ + ___ +
8 + 2 + 4 = ?
= ___ = ___ = ___ =
+ + + =
___ ___ ___ = ?
```

#### Step 1: Solve the Across Sums

- Row 1: 5 + 10 + 9 = 24
- Row 2: 5 + 3 + 2 = 10
- Row 3: 8 + 2 + 4 = 14

So, the rightmost column (the "answers" for across) should be:
- Top: 24
- Middle: 10
- Bottom: 14

Now, these values will also be used as down sums.

So now we look at the down columns:

- Column 1: 5 + 5 + 8 = 18
- Column 2: 10 + 3 + 2 = 15
- Column 3: 9 + 2 + 4 = 15

Wait — but the bottom row must sum to the total of the down columns, and those totals must match the across answers.

But let’s clarify: the gray boxes are the sums for each row and column.

Actually, here's how it works:

- Each row has three numbers and their sum goes in the last cell of that row.
- Each column has three numbers and their sum goes in the last cell of that column.
- The bottom-right cell is the sum of both the last column and the last row.

Let’s re-analyze with this structure.

Let’s denote the grid like this:

```
A B C | Sum (Across)
---------------------
5 + 10 + 9 | ? ← 5+10+9=24
+ + + + |
5 + 3 + 2 | ? ← 5+3+2=10
+ + + + |
8 + 2 + 4 | ? ← 8+2+4=14
= = = = |
? ? ? ? ← Down sums
```

So:
- Across sums: 24, 10, 14 → go into the rightmost column (top to bottom).
- Down sums:
- Col 1: 5 + 5 + 8 = 18
- Col 2: 10 + 3 + 2 = 15
- Col 3: 9 + 2 + 4 = 15

So the bottom row (down sums) is: 18, 15, 15, and the total of the last column (24+10+14=48) must equal the sum of the last row (18+15+15=48). ✔ It checks out!

Now, the bottom-right cell is the sum of the last column (24+10+14=48), and also the sum of the last row (18+15+15=48).

So we fill in:

- Right column: 24, 10, 14
- Bottom row: 18, 15, 15
- Bottom-right: 48

Final Grid for Puzzle 1:

```
5 + 10 + 9 = 24
+ ___ + ___ + ___ +
5 + 3 + 2 = 10
+ ___ + ___ + ___ +
8 + 2 + 4 = 14
= 18 = 15 = 15 =
+ + + =
48
```

✔ Done.

---

🔹 Puzzle 2:

```
4 + 3 + 8 = ?
+ ___ + ___ + ___ +
1 + 3 + 9 = ?
+ ___ + ___ + ___ +
1 + 9 + 6 = ?
= ___ = ___ = ___ =
+ + + =
___ ___ ___ = ?
```

#### Across Sums:

- Row 1: 4 + 3 + 8 = 15
- Row 2: 1 + 3 + 9 = 13
- Row 3: 1 + 9 + 6 = 16

→ Right column: 15, 13, 16

#### Down Sums:

- Col 1: 4 + 1 + 1 = 6
- Col 2: 3 + 3 + 9 = 15
- Col 3: 8 + 9 + 6 = 23

→ Bottom row: 6, 15, 23

Sum of across answers: 15+13+16 = 44
Sum of down answers: 6+15+23 = 44 ✔

Bottom-right cell: 44

Final Grid:

```
4 + 3 + 8 = 15
+ ___ + ___ + ___ +
1 + 3 + 9 = 13
+ ___ + ___ + ___ +
1 + 9 + 6 = 16
= 6 = 15 = 23 =
+ + + =
44
```

✔ Done.

---

🔹 Puzzle 3:

```
8 + 5 + 7 = ?
+ ___ + ___ + ___ +
5 + 9 + 4 = ?
+ ___ + ___ + ___ +
6 + 6 + 2 = ?
= ___ = ___ = ___ =
+ + + =
___ ___ ___ = ?
```

#### Across Sums:

- Row 1: 8 + 5 + 7 = 20
- Row 2: 5 + 9 + 4 = 18
- Row 3: 6 + 6 + 2 = 14

→ Right column: 20, 18, 14

#### Down Sums:

- Col 1: 8 + 5 + 6 = 19
- Col 2: 5 + 9 + 6 = 20
- Col 3: 7 + 4 + 2 = 13

→ Bottom row: 19, 20, 13

Check totals:
- Across total: 20+18+14 = 52
- Down total: 19+20+13 = 52 ✔

Bottom-right: 52

Final Grid:

```
8 + 5 + 7 = 20
+ ___ + ___ + ___ +
5 + 9 + 4 = 18
+ ___ + ___ + ___ +
6 + 6 + 2 = 14
= 19 = 20 = 13 =
+ + + =
52
```

✔ Done.

---

🔹 Puzzle 4:

```
2 + 2 + 2 = ?
+ ___ + ___ + ___ +
3 + 4 + 8 = ?
+ ___ + ___ + ___ +
2 + 2 + 5 = ?
= ___ = ___ = ___ =
+ + + =
___ ___ ___ = ?
```

#### Across Sums:

- Row 1: 2 + 2 + 2 = 6
- Row 2: 3 + 4 + 8 = 15
- Row 3: 2 + 2 + 5 = 9

→ Right column: 6, 15, 9

#### Down Sums:

- Col 1: 2 + 3 + 2 = 7
- Col 2: 2 + 4 + 2 = 8
- Col 3: 2 + 8 + 5 = 15

→ Bottom row: 7, 8, 15

Total check:
- Across: 6+15+9 = 30
- Down: 7+8+15 = 30 ✔

Bottom-right: 30

Final Grid:

```
2 + 2 + 2 = 6
+ ___ + ___ + ___ +
3 + 4 + 8 = 15
+ ___ + ___ + ___ +
2 + 2 + 5 = 9
= 7 = 8 = 15 =
+ + + =
30
```

✔ Done.

---

✔ Final Answer Summary:

#### Puzzle 1:
- Across: 24, 10, 14
- Down: 18, 15, 15
- Total: 48

#### Puzzle 2:
- Across: 15, 13, 16
- Down: 6, 15, 23
- Total: 44

#### Puzzle 3:
- Across: 20, 18, 14
- Down: 19, 20, 13
- Total: 52

#### Puzzle 4:
- Across: 6, 15, 9
- Down: 7, 8, 15
- Total: 30

You can now fill in the grids accordingly.

Let me know if you'd like a printable version or visual representation!