Let’s solve each puzzle one by one. These are “Across-Down” puzzles — that means you add numbers across (left to right) and also down (top to bottom), and the totals should match in the last row and column.
We’ll go step by step for each of the 4 puzzles.
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Puzzle 1:
Grid:
Row 1: 5 + 10 + 9 = ?
Row 2: + + + +
Row 3: 5 + 3 + 2 = ?
Row 4: + + + +
Row 5: 8 + 2 + 4 = ?
Row 6: = = = =
Row 7: ? + ? + ? = ?
First, calculate across sums:
Row 1: 5 + 10 + 9 =
24
Row 3: 5 + 3 + 2 =
10
Row 5: 8 + 2 + 4 =
14
Now, calculate down sums (columns):
Column 1: 5 + 5 + 8 =
18
Column 2: 10 + 3 + 2 =
15
Column 3: 9 + 2 + 4 =
15
So the bottom row (row 7) should be:
18 + 15 + 15 =
48
Also, the last column (column 4) should have the row totals: 24, 10, 14 → sum = 24+10+14 =
48 → matches!
✔ Puzzle 1 solved.
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Puzzle 2:
Row 1: 4 + 3 + 8 = ? → 4+3+8 =
15
Row 3: 1 + 3 + 9 = ? → 1+3+9 =
13
Row 5: 1 + 9 + 6 = ? → 1+9+6 =
16
Down columns:
Col 1: 4 + 1 + 1 =
6
Col 2: 3 + 3 + 9 =
15
Col 3: 8 + 9 + 6 =
23
Bottom row total: 6 + 15 + 23 =
44
Check last column: 15 + 13 + 16 =
44 → matches!
✔ Puzzle 2 solved.
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Puzzle 3:
Row 1: 8 + 5 + 7 = ? → 8+5+7 =
20
Row 3: 5 + 9 + 4 = ? → 5+9+4 =
18
Row 5: 6 + 6 + 2 = ? → 6+6+2 =
14
Down columns:
Col 1: 8 + 5 + 6 =
19
Col 2: 5 + 9 + 6 =
20
Col 3: 7 + 4 + 2 =
13
Bottom row total: 19 + 20 + 13 =
52
Last column check: 20 + 18 + 14 =
52 → matches!
✔ Puzzle 3 solved.
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Puzzle 4:
Row 1: 2 + 2 + 2 = ? → 2+2+2 =
6
Row 3: 3 + 4 + 8 = ? → 3+4+8 =
15
Row 5: 2 + 2 + 5 = ? → 2+2+5 =
9
Down columns:
Col 1: 2 + 3 + 2 =
7
Col 2: 2 + 4 + 2 =
8
Col 3: 2 + 8 + 5 =
15
Bottom row total: 7 + 8 + 15 =
30
Last column check: 6 + 15 + 9 =
30 → matches!
✔ Puzzle 4 solved.
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Final Answer:
Puzzle 1: Across sums: 24, 10, 14; Down sums: 18, 15, 15; Total: 48
Puzzle 2: Across sums: 15, 13, 16; Down sums: 6, 15, 23; Total: 44
Puzzle 3: Across sums: 20, 18, 14; Down sums: 19, 20, 13; Total: 52
Puzzle 4: Across sums: 6, 15, 9; Down sums: 7, 8, 15; Total: 30
Parent Tip: Review the logic above to help your child master the concept of algebra puzzle worksheet.
