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Free Math Puzzles — Mashup Math - Free Printable

Free Math Puzzles — Mashup Math

Educational worksheet: Free Math Puzzles — Mashup Math. Download and print for classroom or home learning activities.

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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 have a multiplication table with symbols and numbers. The rows and columns are labeled with symbols or numbers, and each cell inside the grid is the product of its row label and column label.

Here’s what we know from the top row (column headers):
- First column header: 2
- Second column header: Shell (let’s call it S)
- Third column header: Seal (let’s call it L)

Left side (row labels):
- First row label: Shell (S)
- Second row label: Clownfish (C)
- Third row label: 9

Now look at the grid:

Row 1 (Shell) × Column 1 (2) → Clownfish symbol
Row 1 (Shell) × Column 2 (Shell) → 9
Row 1 (Shell) × Column 3 (Seal) → Jellyfish symbol

Row 2 (Clownfish) × Column 1 (2) → Jellyfish symbol
Row 2 (Clownfish) × Column 2 (Shell) → Dolphin symbol
Row 2 (Clownfish) × Column 3 (Seal) → 24

Row 3 (9) × Column 1 (2) → Dolphin symbol
Row 3 (9) × Column 2 (Shell) → Penguin symbol
Row 3 (9) × Column 3 (Seal) → 36

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Let’s start solving using known values.

Look at Row 3, Column 3:
9 × Seal = 36
So, Seal = 36 ÷ 9 = 4

Seal = 4

Now look at Row 2, Column 3:
Clownfish × Seal = 24
We know Seal = 4, so:
Clownfish × 4 = 24 → Clownfish = 24 ÷ 4 = 6

Clownfish = 6

Now look at Row 1, Column 2:
Shell × Shell = 9
So, Shell² = 9 → Shell = √9 = 3 (since we’re dealing with positive numbers in multiplication tables for kids)

Shell = 3

Now let’s find the other symbols.

Look at Row 1, Column 1:
Shell × 2 = Clownfish? Wait — no, that cell has the Clownfish symbol. But we already found Clownfish = 6. Let’s check:
Shell × 2 = 3 × 2 = 6 → which matches Clownfish! So that checks out.

Now Row 1, Column 3:
Shell × Seal = Jellyfish
→ 3 × 4 = 12 → So Jellyfish = 12

Jellyfish = 12

Check Row 2, Column 1:
Clownfish × 2 = Jellyfish
→ 6 × 2 = 12 → Yes, matches! Good.

Now Row 2, Column 2:
Clownfish × Shell = Dolphin
→ 6 × 3 = 18 → So Dolphin = 18

Dolphin = 18

Check Row 3, Column 1:
9 × 2 = Dolphin → 9 × 2 = 18 → Yes, matches!

Now Row 3, Column 2:
9 × Shell = Penguin
→ 9 × 3 = 27 → So Penguin = 27

Penguin = 27

Let’s double-check everything:

Grid should be:

Row 1 (Shell=3):
- 3×2 = 6 → Clownfish
- 3×3 = 9
- 3×4 = 12 → Jellyfish

Row 2 (Clownfish=6):
- 6×2 = 12 → Jellyfish
- 6×3 = 18 → Dolphin
- 6×4 = 24

Row 3 (9):
- 9×2 = 18 → Dolphin
- 9×3 = 27 → Penguin
- 9×4 = 36

Perfect! All match.

Now, the question asks for the value of each symbol. From the bottom part of the image, we need to fill in:

- Shell → 3
- Seal → 4
- Jellyfish → 12
- Clownfish → 6
- Penguin → 27
- Dolphin → 18

Final Answer:
Shell = 3
Seal = 4
Jellyfish = 12
Clownfish = 6
Penguin = 27
Dolphin = 18
Parent Tip: Review the logic above to help your child master the concept of printable algebra puzzles.
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