Free. Exclusive. Just for you.
Four unique services that make learning easier, faster, and smarter - only on our website.

Logic Puzzles | How to Solve a Logic Puzzle - Free Printable

Logic Puzzles | How to Solve a Logic Puzzle

Educational worksheet: Logic Puzzles | How to Solve a Logic Puzzle. Download and print for classroom or home learning activities.

JPG 500×500 49.4 KB Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #2067400
Show Answer Key & Explanations Step-by-step solution for: Logic Puzzles | How to Solve a Logic Puzzle
Let’s solve this step by step.

We are given a grid with rows and columns labeled. The goal is to fill in the grid based on matching row labels with column labels — but only where they match exactly.

Looking at the structure:

- The top row (columns) has: Bonita, Daryl, Laura, Mario, Sheila, blue, green, orange, pink, violet, Cancer, Gemini, Pisces, Sagittarius, Taurus
- The leftmost column (rows) has: $35, $40, $45, $50, $55, Cancer, Gemini, Pisces, Sagittarius, Taurus, blue, green, orange, pink, violet

Notice that some row labels are the same as some column labels — for example, “Cancer” appears both as a row and as a column. Same with “Gemini”, “Pisces”, etc., and also “blue”, “green”, etc.

The rule seems to be: Put an X (or mark) in the cell where the row label matches the column label.

So let’s go row by row and see which column it matches.

---

Row 1: $35 → no column is named "$35" → nothing to mark
Row 2: $40 → no match → nothing
Row 3: $45 → no match → nothing
Row 4: $50 → no match → nothing
Row 5: $55 → no match → nothing

Row 6: Cancer → look across columns → there IS a column named "Cancer" → so we mark the cell where row "Cancer" meets column "Cancer"

Row 7: Gemini → column "Gemini" exists → mark that cell
Row 8: Pisces → column "Pisces" exists → mark
Row 9: Sagittarius → column "Sagittarius" exists → mark
Row 10: Taurus → column "Taurus" exists → mark

Row 11: blue → column "blue" exists → mark
Row 12: green → column "green" exists → mark
Row 13: orange → column "orange" exists → mark
Row 14: pink → column "pink" exists → mark
Row 15: violet → column "violet" exists → mark

Now, what about the first five rows ($35 to $55)? None of those appear as column headers, so no marks there.

Also, note that the grid is not full — some cells are missing (like bottom right corner). But we only care about cells that exist in the grid.

Looking at the grid layout:

- Rows 1–5 (the dollar amounts) have all 15 columns? Actually, looking at the image description, the grid seems to be cut off after certain points. But since the problem doesn’t specify any other rules, and based on standard logic puzzles like this, we assume we mark only where row label = column label AND the cell exists.

But wait — in the actual grid shown (from your upload), the lower part (after row 10) only goes up to column “Sheila” or so? Let me re-express based on typical such grids.

Actually, looking again — the grid is divided into blocks. The top-left block (first 5 rows × first 5 columns) is for names: Bonita, Daryl, Laura, Mario, Sheila. Then next block is colors: blue, green, orange, pink, violet. Then zodiac signs: Cancer, Gemini, Pisces, Sagittarius, Taurus.

Similarly, the rows: first 5 are prices, then 5 zodiac, then 5 colors.

So the grid is structured as:

Columns:
[Names] [Colors] [Zodiac]

Rows:
[Prices]
[Zodiac]
[Colors]

Therefore, when we get to row “Cancer” (which is under Zodiac section), we should only look in the Zodiac columns (Cancer, Gemini, Pisces, Sagittarius, Taurus) — because that’s where the matching would make sense.

Same for row “blue” — it’s in the Colors section of rows, so we look in the Colors section of columns (blue, green, orange, pink, violet).

And for price rows — no matching columns, so empty.

So let’s map it properly.

Define sections:

Column Groups:
- Group A (Names): Bonita, Daryl, Laura, Mario, Sheila → columns 1–5
- Group B (Colors): blue, green, orange, pink, violet → columns 6–10
- Group C (Zodiac): Cancer, Gemini, Pisces, Sagittarius, Taurus → columns 11–15

Row Groups:
- Group 1 (Prices): $35, $40, $45, $50, $55 → rows 1–5
- Group 2 (Zodiac): Cancer, Gemini, Pisces, Sagittarius, Taurus → rows 6–10
- Group 3 (Colors): blue, green, orange, pink, violet → rows 11–15

Now, for each row, we only consider the corresponding column group for matching.

Why? Because otherwise, you’d be comparing “Cancer” (zodiac) with “blue” (color) — which doesn’t make sense. The puzzle likely intends matching within categories.

So:

For Row Group 1 (Prices): no matching column group → all blank.

For Row Group 2 (Zodiac rows): compare with Column Group C (Zodiac columns)

So:

Row 6: Cancer → matches column 11 (Cancer) → mark cell (6,11)
Row 7: Gemini → matches column 12 (Gemini) → mark (7,12)
Row 8: Pisces → matches column 13 (Pisces) → mark (8,13)
Row 9: Sagittarius → matches column 14 (Sagittarius) → mark (9,14)
Row 10: Taurus → matches column 15 (Taurus) → mark (10,15)

For Row Group 3 (Colors rows): compare with Column Group B (Colors columns)

Row 11: blue → matches column 6 (blue) → mark (11,6)
Row 12: green → matches column 7 (green) → mark (12,7)
Row 13: orange → matches column 8 (orange) → mark (13,8)
Row 14: pink → matches column 9 (pink) → mark (14,9)
Row 15: violet → matches column 10 (violet) → mark (15,10)

Now, check if these cells exist in the grid.

From the image description, the grid has:

- First 5 rows (prices) span all 15 columns? Probably yes, but we leave them blank.
- Rows 6–10 (zodiac) — do they span all 15 columns? In the image, it looks like rows 6–10 only go up to column 10? Wait, no — looking back at your original image description, the grid is drawn with thick lines separating sections.

Actually, in the user's image, the grid is partitioned:

Top part: 5 rows (prices) × 15 columns (all)

Then below that, a block for zodiac rows (5 rows) but only spanning the first 10 columns? No — let me think differently.

Perhaps the grid is meant to be filled only where the row and column belong to the same category, and the cell exists.

But to avoid overcomplicating, and since this is a common type of puzzle, the intended answer is simply to put a mark where the row label equals the column label, regardless of position — but only if the cell is present.

In the actual grid provided (as per your upload), the lower-right part is cut off. Specifically:

- After row 10 (Taurus), the rows for colors start, but the columns beyond “Sheila” might not be available for those rows? Actually, looking at the ASCII-like representation you gave, it shows:

After the first 5 rows (which have all 15 columns), then rows 6–10 (Cancer to Taurus) have only 10 columns? Or 15?

Wait, in your text representation:

You wrote:

```
| | Bonita | Daryl | Laura | Mario | Sheila | blue | green | orange | pink | violet | Cancer | Gemini | Pisces | Sagittarius | Taurus |
|-----|--------|-------|-------|-------|--------|------|-------|--------|------|--------|--------|--------|--------|-------------|--------|
| $35 | | | | | | | | | | | | | | | |
...
| Cancer | | | | | | | | | | | | | | | |
...
| blue | | | | | | | | | | | | | | | |
```

But then in the actual grid drawing, it seems that for rows 6–10 (zodiac), the grid only extends to column 10 (violet), and for rows 11–15 (colors), it only extends to column 5 (Sheila)? That can't be right.

Actually, looking at your initial image description, the grid has a stepped shape:

- Top 5 rows: full width (15 columns)
- Next 5 rows (zodiac): only first 10 columns? Or first 5 + next 5?
- Bottom 5 rows (colors): only first 5 columns?

This is ambiguous.

But here’s a better approach: in such puzzles, usually, you only mark the diagonal within each block.

That is:

- In the Names block (rows 1-5, cols 1-5): but row labels are prices, not names, so no match.
- In the Colors block (rows 11-15, cols 6-10): row labels are colors, column labels are colors → so mark diagonal: (11,6), (12,7), (13,8), (14,9), (15,10)
- In the Zodiac block (rows 6-10, cols 11-15): row labels are zodiac, column labels are zodiac → mark diagonal: (6,11), (7,12), (8,13), (9,14), (10,15)

And the other areas are either mismatched categories or no matching labels.

Moreover, in the grid as drawn, the cells for (6,11) to (10,15) do exist — because the zodiac columns are there, and the zodiac rows are there.

Similarly, for colors, rows 11-15 and columns 6-10 exist.

So total marks: 5 (for zodiac) + 5 (for colors) = 10 marks.

Now, to confirm, let's list the exact cells to mark:

1. Row "Cancer", Column "Cancer" → which is row 6, column 11
2. Row "Gemini", Column "Gemini" → row 7, column 12
3. Row "Pisces", Column "Pisces" → row 8, column 13
4. Row "Sagittarius", Column "Sagittarius" → row 9, column 14
5. Row "Taurus", Column "Taurus" → row 10, column 15
6. Row "blue", Column "blue" → row 11, column 6
7. Row "green", Column "green" → row 12, column 7
8. Row "orange", Column "orange" → row 13, column 8
9. Row "pink", Column "pink" → row 14, column 9
10. Row "violet", Column "violet" → row 15, column 10

All these cells should be marked with an X or filled in.

The price rows have no matches, so remain empty.

Also, no other matches possible.

So the final answer is to mark those 10 cells.

Since the question is to "solve the problem", and it's a grid-filling task, the solution is to place marks in those specific intersections.

Final Answer: Mark the following cells: (Cancer,Cancer), (Gemini,Gemini), (Pisces,Pisces), (Sagittarius,Sagittarius), (Taurus,Taurus), (blue,blue), (green,green), (orange,orange), (pink,pink), (violet,violet).
Parent Tip: Review the logic above to help your child master the concept of printable logic grid puzzles for middle school.
Print Download

How to use

Click Print to open a print-ready version directly in your browser, or use Download to save the file to your device. The ⭐ Answer button generates an AI answer key instantly - useful for teachers who need a quick reference. Need a different version? Our AI Worksheet Generator lets you create a custom worksheet on any topic in seconds.

(view all printable logic grid puzzles for middle school)

Logic Puzzles | How to Solve a Logic Puzzle
Create your own logic grid puzzle | Alachua County Library District
Printable Logic Puzzle Grid Blank - Printable Crossword Puzzles
Printable Logic Puzzles for Kids | Woo! Jr. Kids Activities ...
Free Logic Grid Puzzles Printable - Colab
Printable Logic Grid Puzzles (Brainzilla).pdf | DocDroid
Logic Puzzles, Free Printable Puzzles
Printable Logic Puzzles For Elementary Students - Printable ...
Printable & Digital Logic Puzzles by Erins Classroom Creations | TPT
Create your own logic grid puzzle | Alachua County Library District