Free Math Puzzles — Mashup Math - Free Printable
Educational worksheet: Free Math Puzzles — Mashup Math. Download and print for classroom or home learning activities.
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Step-by-step solution for: Free Math Puzzles — Mashup Math
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Show Answer Key & Explanations
Step-by-step solution for: Free Math Puzzles — Mashup Math
Let’s solve this step by step.
We are told this is a multiplication table. That means:
> The value in each box = (value of the symbol on the left) × (value of the symbol on top)
So, for example:
- Top row headers: 2, 🐚 (shell), 🦭 (seal)
- Left column headers: 🐚 (shell), 🐠 (fish), 9
And inside the grid, we have some numbers and some symbols. We need to find the value of each symbol.
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Let’s label the symbols with letters to make it easier:
Let:
- S = shell (🐚)
- F = fish (🐠)
- J = jellyfish (🪼)
- D = dolphin (🐬)
- P = penguin (🐧)
- L = seal (🦭) — already given as header? Wait, no — look again.
Wait — actually, looking at the grid:
Top row (column headers):
→ First column header: “2”
→ Second column header: 🐚 (shell)
→ Third column header: 🦭 (seal)
Left column (row headers):
→ First row header: 🐚 (shell)
→ Second row header: 🐠 (fish)
→ Third row header: “9”
Now, let’s write out what each cell should be:
Cell (1,1): row=shell, col=2 → value = S × 2 → but this cell has 🐠 (fish) → so F = S × 2
Cell (1,2): row=shell, col=shell → S × S = 9 → So S² = 9 → S = 3
Cell (1,3): row=shell, col=seal → S × L = ? → this cell has 🪼 (jellyfish) → so J = S × L
Cell (2,1): row=fish, col=2 → F × 2 = ? → this cell has 🪼 (jellyfish) → so J = F × 2
Cell (2,2): row=fish, col=shell → F × S = ? → this cell has 🐬 (dolphin) → so D = F × S
Cell (2,3): row=fish, col=seal → F × L = 24
Cell (3,1): row=9, col=2 → 9 × 2 = 18 → this cell has 🐬 (dolphin) → so D = 18
Cell (3,2): row=9, col=shell → 9 × S = ? → this cell has 🐧 (penguin) → so P = 9 × S
Cell (3,3): row=9, col=seal → 9 × L = 36 → so 9L = 36 → L = 4
Great! Let’s start solving from what we know.
From Cell (1,2): S × S = 9 → S = 3 (since 3×3=9; we ignore negative because these are positive values for kids’ puzzle)
From Cell (3,3): 9 × L = 36 → L = 36 ÷ 9 = 4
From Cell (2,3): F × L = 24 → F × 4 = 24 → F = 24 ÷ 4 = 6
From Cell (1,1): F = S × 2 → Check: 6 = 3 × 2 → YES ✔️
From Cell (2,1): J = F × 2 → J = 6 × 2 = 12
Also from Cell (1,3): J = S × L → J = 3 × 4 = 12 → matches ✔️
From Cell (2,2): D = F × S → D = 6 × 3 = 18
From Cell (3,1): D = 9 × 2 = 18 → matches ✔️
From Cell (3,2): P = 9 × S → P = 9 × 3 = 27
Now let’s list all symbol values:
- Shell (🐚) = S = 3
- Fish (🐠) = F = 6
- Jellyfish (🪼) = J = 12
- Dolphin (🐬) = D = 18
- Penguin (🐧) = P = 27
- Seal (🦭) = L = 4
Now check if everything fits:
Grid:
Row 1 (shell row):
- Col 2: 3×2 = 6 → fish ✔️
- Col shell: 3×3 = 9 ✔️
- Col seal: 3×4 = 12 → jellyfish ✔️
Row 2 (fish row):
- Col 2: 6×2 = 12 → jellyfish ✔️
- Col shell: 6×3 = 18 → dolphin ✔️
- Col seal: 6×4 = 24 ✔️
Row 3 (9 row):
- Col 2: 9×2 = 18 → dolphin ✔️
- Col shell: 9×3 = 27 → penguin ✔️
- Col seal: 9×4 = 36 ✔️
Perfect! All match.
Now, the bottom part asks us to fill in boxes next to each symbol — that’s just asking for the value of each symbol.
So:
- 🐚 (shell) = 3
- 🦭 (seal) = 4
- 🪼 (jellyfish) = 12
- 🐠 (fish) = 6
- 🐧 (penguin) = 27
- 🐬 (dolphin) = 18
Final Answer:
Shell: 3
Seal: 4
Jellyfish: 12
Fish: 6
Penguin: 27
Dolphin: 18
We are told this is a multiplication table. That means:
> The value in each box = (value of the symbol on the left) × (value of the symbol on top)
So, for example:
- Top row headers: 2, 🐚 (shell), 🦭 (seal)
- Left column headers: 🐚 (shell), 🐠 (fish), 9
And inside the grid, we have some numbers and some symbols. We need to find the value of each symbol.
---
Let’s label the symbols with letters to make it easier:
Let:
- S = shell (🐚)
- F = fish (🐠)
- J = jellyfish (🪼)
- D = dolphin (🐬)
- P = penguin (🐧)
- L = seal (🦭) — already given as header? Wait, no — look again.
Wait — actually, looking at the grid:
Top row (column headers):
→ First column header: “2”
→ Second column header: 🐚 (shell)
→ Third column header: 🦭 (seal)
Left column (row headers):
→ First row header: 🐚 (shell)
→ Second row header: 🐠 (fish)
→ Third row header: “9”
Now, let’s write out what each cell should be:
Cell (1,1): row=shell, col=2 → value = S × 2 → but this cell has 🐠 (fish) → so F = S × 2
Cell (1,2): row=shell, col=shell → S × S = 9 → So S² = 9 → S = 3
Cell (1,3): row=shell, col=seal → S × L = ? → this cell has 🪼 (jellyfish) → so J = S × L
Cell (2,1): row=fish, col=2 → F × 2 = ? → this cell has 🪼 (jellyfish) → so J = F × 2
Cell (2,2): row=fish, col=shell → F × S = ? → this cell has 🐬 (dolphin) → so D = F × S
Cell (2,3): row=fish, col=seal → F × L = 24
Cell (3,1): row=9, col=2 → 9 × 2 = 18 → this cell has 🐬 (dolphin) → so D = 18
Cell (3,2): row=9, col=shell → 9 × S = ? → this cell has 🐧 (penguin) → so P = 9 × S
Cell (3,3): row=9, col=seal → 9 × L = 36 → so 9L = 36 → L = 4
Great! Let’s start solving from what we know.
From Cell (1,2): S × S = 9 → S = 3 (since 3×3=9; we ignore negative because these are positive values for kids’ puzzle)
From Cell (3,3): 9 × L = 36 → L = 36 ÷ 9 = 4
From Cell (2,3): F × L = 24 → F × 4 = 24 → F = 24 ÷ 4 = 6
From Cell (1,1): F = S × 2 → Check: 6 = 3 × 2 → YES ✔️
From Cell (2,1): J = F × 2 → J = 6 × 2 = 12
Also from Cell (1,3): J = S × L → J = 3 × 4 = 12 → matches ✔️
From Cell (2,2): D = F × S → D = 6 × 3 = 18
From Cell (3,1): D = 9 × 2 = 18 → matches ✔️
From Cell (3,2): P = 9 × S → P = 9 × 3 = 27
Now let’s list all symbol values:
- Shell (🐚) = S = 3
- Fish (🐠) = F = 6
- Jellyfish (🪼) = J = 12
- Dolphin (🐬) = D = 18
- Penguin (🐧) = P = 27
- Seal (🦭) = L = 4
Now check if everything fits:
Grid:
Row 1 (shell row):
- Col 2: 3×2 = 6 → fish ✔️
- Col shell: 3×3 = 9 ✔️
- Col seal: 3×4 = 12 → jellyfish ✔️
Row 2 (fish row):
- Col 2: 6×2 = 12 → jellyfish ✔️
- Col shell: 6×3 = 18 → dolphin ✔️
- Col seal: 6×4 = 24 ✔️
Row 3 (9 row):
- Col 2: 9×2 = 18 → dolphin ✔️
- Col shell: 9×3 = 27 → penguin ✔️
- Col seal: 9×4 = 36 ✔️
Perfect! All match.
Now, the bottom part asks us to fill in boxes next to each symbol — that’s just asking for the value of each symbol.
So:
- 🐚 (shell) = 3
- 🦭 (seal) = 4
- 🪼 (jellyfish) = 12
- 🐠 (fish) = 6
- 🐧 (penguin) = 27
- 🐬 (dolphin) = 18
Final Answer:
Shell: 3
Seal: 4
Jellyfish: 12
Fish: 6
Penguin: 27
Dolphin: 18
Parent Tip: Review the logic above to help your child master the concept of free math puzzle worksheet.