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Magic Squares Worksheet with Four Puzzles and Emoji Border

A colorful worksheet featuring four magic square puzzles with different magic sums (15, 18, 30, 24), each with some numbers filled in and blank spaces to complete, surrounded by emoji decorations and a title banner.

A colorful worksheet featuring four magic square puzzles with different magic sums (15, 18, 30, 24), each with some numbers filled in and blank spaces to complete, surrounded by emoji decorations and a title banner.

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ID: #719321
Show Answer Key & Explanations Step-by-step solution for: Magic Squares Worksheets — Puzzles & Math Square
Let’s solve each magic square one by one. Remember: in a magic square, every row, every column, and both diagonals must add up to the “Magic Sum” given above each square.

---

First Magic Square (Top Left) — Magic Sum = 15

Grid:
```
8 1 ?
3 ? 7
? 9 ?
```

Step 1: Top row → 8 + 1 + ? = 15 → ? = 6
So top right is 6

Now grid:
```
8 1 6
3 ? 7
? 9 ?
```

Step 2: Middle row → 3 + ? + 7 = 15 → ? = 5
Center is 5

Now:
```
8 1 6
3 5 7
? 9 ?
```

Step 3: Bottom row → ? + 9 + ? = 15 → We need two numbers that with 9 make 15 → sum of missing two = 6

Also, left column: 8 + 3 + ? = 15 → ? = 4 → bottom left is 4

Then bottom row: 4 + 9 + ? = 15 → ? = 2 → bottom right is 2

Check last column: 6 + 7 + 2 = 15
Check diagonal: 8 + 5 + 2 = 15
Other diagonal: 6 + 5 + 4 = 15

First square done!

Final for first square:
```
8 1 6
3 5 7
4 9 2
```

---

Second Magic Square (Top Right) — Magic Sum = 18

Grid:
```
? 2 7
4 6 ?
? ? 3
```

Step 1: Top row → ? + 2 + 7 = 18 → ? = 9 → top left is 9

Now:
```
9 2 7
4 6 ?
? ? 3
```

Step 2: Middle row → 4 + 6 + ? = 18 → ? = 8 → middle right is 8

Now:
```
9 2 7
4 6 8
? ? 3
```

Step 3: Right column → 7 + 8 + 3 = 18 Good.

Left column: 9 + 4 + ? = 18 → ? = 5 → bottom left is 5

Bottom row: 5 + ? + 3 = 18 → ? = 10 → bottom middle is 10

Check middle column: 2 + 6 + 10 = 18
Check diagonal: 9 + 6 + 3 = 18
Other diagonal: 7 + 6 + 5 = 18

Second square done!

Final for second square:
```
9 2 7
4 6 8
5 10 3
```

---

Third Magic Square (Bottom Left) — Magic Sum = 30

Grid:
```
13 6 ?
? 10 12
? ? 7
```

Step 1: Top row → 13 + 6 + ? = 30 → ? = 11 → top right is 11

Now:
```
13 6 11
? 10 12
? ? 7
```

Step 2: Middle row → ? + 10 + 12 = 30 → ? = 8 → middle left is 8

Now:
```
13 6 11
8 10 12
? ? 7
```

Step 3: Left column → 13 + 8 + ? = 30 → ? = 9 → bottom left is 9

Bottom row → 9 + ? + 7 = 30 → ? = 14 → bottom middle is 14

Check middle column: 6 + 10 + 14 = 30
Right column: 11 + 12 + 7 = 30
Diagonal: 13 + 10 + 7 = 30
Other diagonal: 11 + 10 + 9 = 30

Third square done!

Final for third square:
```
13 6 11
8 10 12
9 14 7
```

---

Fourth Magic Square (Bottom Right) — Magic Sum = 24

Grid:
```
11 ? 9
? 8 ?
7 12 ?
```

Step 1: Top row → 11 + ? + 9 = 24 → ? = 4 → top middle is 4

Now:
```
11 4 9
? 8 ?
7 12 ?
```

Step 2: Middle column → 4 + 8 + 12 = 24 Good.

Left column → 11 + ? + 7 = 24 → ? = 6 → middle left is 6

Middle row → 6 + 8 + ? = 24 → ? = 10 → middle right is 10

Bottom row → 7 + 12 + ? = 24 → ? = 5 → bottom right is 5

Check right column: 9 + 10 + 5 = 24
Check diagonal: 11 + 8 + 5 = 24
Other diagonal: 9 + 8 + 7 = 24

Fourth square done!

Final for fourth square:
```
11 4 9
6 8 10
7 12 5
```

---

Final Answer:

Top Left (Sum=15):
8 1 6
3 5 7
4 9 2

Top Right (Sum=18):
9 2 7
4 6 8
5 10 3

Bottom Left (Sum=30):
13 6 11
8 10 12
9 14 7

Bottom Right (Sum=24):
11 4 9
6 8 10
7 12 5
Parent Tip: Review the logic above to help your child master the concept of magic squares worksheet.
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