Instructions
Welcome to the Logic Lounge! Today, you will tackle two unique Sudoku-style puzzles designed to stretch your deductive reasoning, pattern recognition, and algebra skills. Follow these steps to complete the worksheet:
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Game 1: Wordoku (The Letter Grid)
- Instead of numbers 1–9, use the nine unique letters from the word LOGARITHM (L, O, G, A, R, I, T, H, M).
- Fill the grid so that every row, column, and 3x3 bold square contains each of the nine letters exactly once.
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Game 2: Crypto-Sudoku (The Algebraic Challenge)
- First, solve the four algebraic equations in the "Clue Decoder" section to find the numerical values of W, X, Y, and Z.
- Substitute those numbers into the corresponding lettered cells in the Sudoku grid.
- Complete the rest of the 9x9 Sudoku grid using numbers 1–9 under standard Sudoku rules.
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Use a pencil so you can easily make corrections as you work!
Game 1: Wordoku (LOGARITHM)
Letter Pool: L, O, G, A, R, I, T, H, M Hint: Track which letters you have used in each row and column just as you would with numbers! Let the letter "G" in Row 1, Column 2 guide your early placements.
| Col 1 | Col 2 | Col 3 | Col 4 | Col 5 | Col 6 | Col 7 | Col 8 | Col 9 | |
|---|---|---|---|---|---|---|---|---|---|
| Row 1 | G | I | M | O | |||||
| Row 2 | I | M | R | A | |||||
| Row 3 | H | A | T | ||||||
| Row 4 | H | L | O | ||||||
| Row 5 | O | I | R | T | M | ||||
| Row 6 | L | M | I | ||||||
| Row 7 | M | G | O | ||||||
| Row 8 | H | A | L | R | |||||
| Row 9 | G | R | I | T |
Game 2: Crypto-Sudoku
Step 1: The Clue Decoder
Solve the equations below to unlock the hidden starter numbers for your Sudoku board.
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Equation for W: $$3W + 7 = 22$$ W =
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Equation for X (Note: X must be a positive integer): $$X^2 - 4 = 12$$ X =
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Equation for Y: $$2Y - X = W + 5$$ (Plug in your value for X and W first!) Y =
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Equation for Z: $$(Z \times W) - Y = 8$$ (Plug in your values for W and Y first!) Z =
Step 2: Solve the Grid
Now, substitute your decoded values (W, X, Y, Z) into the grid below, then solve the standard 9x9 Sudoku puzzle (using numbers 1–9).
| Col 1 | Col 2 | Col 3 | Col 4 | Col 5 | Col 6 | Col 7 | Col 8 | Col 9 | |
|---|---|---|---|---|---|---|---|---|---|
| Row 1 | W | Z | Y | ||||||
| Row 2 | 1 | 9 | W | X | |||||
| Row 3 | 1 | 8 | 2 | Y | |||||
| Row 4 | 8 | W | 6 | 1 | X | ||||
| Row 5 | 6 | 8 | Z | Y | 1 | ||||
| Row 6 | Z | 9 | 2 | W | 6 | ||||
| Row 7 | 9 | W | 2 | X | |||||
| Row 8 | 8 | X | 1 | 9 | |||||
| Row 9 | 8 | 6 | Y | 9 |
Answer Key
Game 1 Solution: Wordoku
| Col 1 | Col 2 | Col 3 | Col 4 | Col 5 | Col 6 | Col 7 | Col 8 | Col 9 | |
|---|---|---|---|---|---|---|---|---|---|
| Row 1 | R | G | A | I | T | H | M | L | O |
| Row 2 | I | T | O | L | M | R | G | A | H |
| Row 3 | L | M | H | G | A | O | R | I | T |
| Row 4 | H | R | M | T | I | L | A | O | G |
| Row 5 | A | O | I | H | R | G | T | M | L |
| Row 6 | T | L | G | M | O | A | H | R | I |
| Row 7 | M | I | L | R | G | T | O | H | A |
| Row 8 | O | H | T | A | L | M | I | G | R |
| Row 9 | G | A | R | O | H | I | L | T | M |
Game 2 Solution: Crypto-Sudoku
Step 1: Clue Decoder Answers
- W = 5 (3W = 15)
- X = 4 (X² = 16)
- Y = 7 (2Y - 4 = 10 -> 2Y = 14)
- Z = 3 (5Z - 7 = 8 -> 5Z = 15)
Step 2: Completed Sudoku Grid
| Col 1 | Col 2 | Col 3 | Col 4 | Col 5 | Col 6 | Col 7 | Col 8 | Col 9 | |
|---|---|---|---|---|---|---|---|---|---|
| Row 1 | 5 | 3 | 4 | 6 | 7 | 8 | 9 | 1 | 2 |
| Row 2 | 6 | 7 | 2 | 1 | 9 | 5 | 3 | 4 | 8 |
| Row 3 | 1 | 9 | 8 | 3 | 4 | 2 | 5 | 6 | 7 |
| Row 4 | 8 | 5 | 9 | 7 | 6 | 1 | 4 | 2 | 3 |
| Row 5 | 4 | 2 | 6 | 8 | 5 | 3 | 7 | 9 | 1 |
| Row 6 | 7 | 1 | 3 | 9 | 2 | 4 | 8 | 5 | 6 |
| Row 7 | 9 | 6 | 1 | 5 | 3 | 7 | 2 | 8 | 4 |
| Row 8 | 2 | 8 | 7 | 4 | 1 | 9 | 6 | 3 | 5 |
| Row 9 | 3 | 4 | 5 | 2 | 8 | 6 | 1 | 7 | 9 |