Let’s solve this step by step.
We are told that the grid is a
multiplication table. That means:
> The value in each box = (row symbol) × (column symbol)
The rows are labeled on the left:
- Row 1: (seashell)
- Row 2: 🐠 (clownfish)
- Row 3: 9
The columns are labeled on top:
- Column 1: 2
- Column 2: 🐚 (seashell)
- Column 3: 🦭 (seal)
So, for example:
- Box at row 🐚 and column 2 → × 2 = fish icon (we don’t know its value yet)
- Box at row 🐚 and column 🐚 → × 🐚 = 9
- Box at row 🐚 and column → 🐚 × 🦭 = jellyfish icon
Similarly:
- Row × column 2 → jellyfish icon
- Row 🐠 × column → manatee icon
- Row × column 🦭 → 24
And:
- Row 9 × column 2 → manatee icon
- Row 9 × column 🐚 → penguin icon
- Row 9 × column 🦭 → 36
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Let’s assign variables to make it easier:
Let:
- S = value of seashell 🐚
- F = value of clownfish
- J = value of jellyfish
- M = value of manatee 🐋
- P = value of penguin 🐧
- L = value of seal 🦭
From the grid:
Row 1 (S):
- S × 2 = F → Equation (1)
- S × S = 9 → Equation (2)
- S × L = J → Equation (3)
Row 2 (F):
- F × 2 = J → Equation (4)
- F × S = M → Equation (5)
- F × L = 24 → Equation (6)
Row 3 (9):
- 9 × 2 = M → Equation (7)
- 9 × S = P → Equation (8)
- 9 × L = 36 → Equation (9)
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Start with what we can solve directly.
From Equation (2):
S × S = 9 → So S = 3 (since 3×3=9; we ignore negative because these are positive values for kids’ puzzles)
✔ So,
seashell = 3
Now plug into Equation (1):
S × 2 = F → 3 × 2 = 6 →
✔ clownfish = 6
Equation (9):
9 × L = 36 → L = 36 ÷ 9 = 4 →
✔ seal = 4
Equation (7):
9 × 2 = M → M = 18 →
✔ manatee = 18
Check with Equation (5):
F × S = M → 6 × 3 = 18 → ✔️ matches!
Equation (6):
F × L = 24 → 6 × 4 = 24 → ✔️ matches!
Equation (4):
F × 2 = J → 6 × 2 = 12 →
✔ jellyfish = 12
Check with Equation (3):
S × L = J → 3 × 4 = 12 → ✔️ matches!
Equation (8):
9 × S = P → 9 × 3 = 27 →
✔ penguin = 27
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Now let’s list all symbol values:
- 🐚 (seashell) = 3
- (clownfish) = 6
- 🦭 (seal) = 4
- 🪼 (jellyfish) = 12
- 🐋 (manatee) = 18
- 🐧 (penguin) = 27
These match all boxes in the grid.
Final Answer:
= 3
🦭 = 4
🪼 = 12
🐠 = 6
= 27
🐋 = 18
Parent Tip: Review the logic above to help your child master the concept of math puzzle games worksheet.