Let’s solve this step by step.
This is a dice game grid. The top row shows dice with 1 to 6 dots — that means each column represents a number from 1 to 6.
The leftmost column also shows dice with 1 to 6 dots — that means each row represents a number from 1 to 6 too.
So, this is like a multiplication table! Each empty box in the grid should be filled with the product of the row number and the column number.
For example:
- Row 1 (one dot) × Column 1 (one dot) = 1 × 1 = 1
- Row 2 (two dots) × Column 3 (three dots) = 2 × 3 = 6
- Row 4 (four dots) × Column 5 (five dots) = 4 × 5 = 20
We’ll go row by row and fill in all the boxes.
Let’s label rows and columns numerically for clarity:
Rows (left side):
Row 1 → 1 dot
Row 2 → 2 dots
Row 3 → 3 dots
Row 4 → 4 dots
Row 5 → 5 dots
Row 6 → 6 dots
Columns (top):
Col 1 → 1 dot
Col 2 → 2 dots
Col 3 → 3 dots
Col 4 → 4 dots
Col 5 → 5 dots
Col 6 → 6 dots
Now let’s compute each cell:
Row 1 (multiply by 1):
1×1=1, 1×2=2, 1×3=3, 1×4=4, 1×5=5, 1×6=6
Row 2 (multiply by 2):
2×1=2, 2×2=4, 2×3=6, 2×4=8, 2×5=10, 2×6=12
Row 3 (multiply by 3):
3×1=3, 3×2=6, 3×3=9, 3×4=12, 3×5=15, 3×6=18
Row 4 (multiply by 4):
4×1=4, 4×2=8, 4×3=12, 4×4=16, 4×5=20, 4×6=24
Row 5 (multiply by 5):
5×1=5, 5×2=10, 5×3=15, 5×4=20, 5×5=25, 5×6=30
Row 6 (multiply by 6):
6×1=6, 6×2=12, 6×3=18, 6×4=24, 6×5=30, 6×6=36
Now we can write the full grid:
```
| 1 2 3 4 5 6
----|------------------
1 | 1 2 3 4 5 6
2 | 2 4 6 8 10 12
3 | 3 6 9 12 15 18
4 | 4 8 12 16 20 24
5 | 5 10 15 20 25 30
6 | 6 12 18 24 30 36
```
Double-checking a few random cells:
- Row 3, Col 4: 3×4=12
✔
- Row 5, Col 6: 5×6=30
✔
- Row 6, Col 6: 6×6=36
✔
All correct!
Final Answer:
The completed grid is:
Row 1: 1, 2, 3, 4, 5, 6
Row 2: 2, 4, 6, 8, 10, 12
Row 3: 3, 6, 9, 12, 15, 18
Row 4: 4, 8, 12, 16, 20, 24
Row 5: 5, 10, 15, 20, 25, 30
Row 6: 6, 12, 18, 24, 30, 36
Parent Tip: Review the logic above to help your child master the concept of printable math games with dice.