Math Puzzle Worksheets 5th Grade Kids Will Love! Get It Free Now! - Free Printable

I need to solve this maze puzzle by finding the correct path from Start to Finish. Let me work through it step by step.

Starting at "Start" with X + 7 = 15, I need to solve for X:
X + 7 = 15
X = 15 - 7
X = 8

So from the start, I should follow the path labeled X = 8.

Let me trace through the maze following the correct values of X:

Path 1 (following X = 8):
- Start: X + 7 = 15 → X = 8 ✓
- Follow X = 8 to: X + 6 = 13 → X = 7
- From X = 7, follow X = 7 to: 5X = 20 → X = 4
- From X = 4, follow X = 4 to: X - 10 = 5 → X = 15
- From X = 15, follow X = 15 to: 6X = 54 → X = 9
- From X = 9, follow X = 9 to: X - 4 = 8 → X = 12... but there's no X = 12 path from here

Let me try a different approach and check all possible paths more carefully.

Actually, let me verify each equation and its solution:

Row 1 (top):
- X + 7 = 15 → X = 8
- 3 + X = 4 → X = 1
- 4X = 12 → X = 3
- X + 12 = 12 → X = 0

Row 2:
- 5X = 20 → X = 4
- X + 6 = 13 → X = 7
- 6 + X = 15 → X = 9
- X - 7 = 6 → X = 13

Row 3:
- X + 3 = 12 → X = 9
- X - 10 = 5 → X = 15
- 8X = 24 → X = 3
- 8 + X = 15 → X = 7

Row 4 (bottom):
- X - 4 = 8 → X = 12
- 6X = 54 → X = 9
- X + 2 = 10 → X = 8
- Finish

Now let me trace the correct path from Start to Finish:

Starting at X + 7 = 15 (X = 8), I can go to paths labeled X = 8.

Looking at the connections:
- From Start (X = 8), I can go down-right along X = 8
- This leads to X + 6 = 13 (X = 7)
- From X = 7, I can go right along X = 7
- This leads to 6 + X = 15 (X = 9)
- From X = 9, I can go down-right along X = 9
- This leads to X - 7 = 6 (X = 13)
- From X = 13, I can go down along X = 13
- This leads to 8 + X = 15 (X = 7)
- From X = 7, I can go down-left along X = 7
- This leads to X + 2 = 10 (X = 8)
- From X = 8, I can go left along X = 8? No, that doesn't connect to Finish.

Let me reconsider. Looking at the bottom row near Finish:
- X + 2 = 10 → X = 8 connects to Finish via X = 7

Wait, let me look at what connects directly to Finish. The green Finish box appears to be connected from X + 2 = 10 via a path labeled X = 7.

Let me retrace more carefully by working backwards from Finish:

From Finish, I need to come from X + 2 = 10 (X = 8) via path X = 7. But that doesn't make sense because if X + 2 = 10, then X = 8, not 7.

Let me look at this differently. The yellow paths show the value of X that you use to travel along them. So I need to find a continuous path where each step is consistent.

Let me try tracing forward again, being very careful:

Starting at Start:
X + 7 = 15 → X = 8

From here, I follow the yellow path labeled "X = 8" which goes diagonally down-right to "X + 6 = 13"

At "X + 6 = 13" → X = 7

From here, I follow "X = 7" going right to "6 + X = 15"

At "6 + X = 15" → X = 9

From here, I follow "X = 9" going diagonally down-right to "X - 7 = 6"

At "X - 7 = 6" → X = 13

From here, I follow "X = 13" going down to "8 + X = 15"

At "8 + X = 15" → X = 7

From here, I follow "X = 7" going diagonally down-left to "X + 2 = 10"

At "X + 2 = 10" → X = 8

From here, I follow "X = 7" going right to Finish!

Wait, that last step says X = 7, but we just calculated X = 8. Let me check the image again...

Actually, looking at the bottom right area:
- X + 2 = 10 has X = 8
- There's a yellow path labeled X = 7 going from X + 2 = 10 to Finish

This seems inconsistent. Unless... the path labels indicate what value you NEED to have to traverse that path, not what value you currently have.

Let me reconsider the entire puzzle with this understanding:

The goal is to find a path from Start to Finish where you solve each equation, and the answer tells you which path to take next.

Starting over:

Start: X + 7 = 15 → X = 8
Take path X = 8 (diagonally down-right)

Arrive at: X + 6 = 13 → X = 7
Take path X = 7 (going right)

Arrive at: 6 + X = 15 → X = 9
Take path X = 9 (diagonally down-right)

Arrive at: X - 7 = 6 → X = 13
Take path X = 13 (going down)

Arrive at: 8 + X = 15 → X = 7
Take path X = 7 (diagonally down-left)

Arrive at: X + 2 = 10 → X = 8
Take path X = 7 (going right to Finish)

But wait - if X = 8 at "X + 2 = 10", how can I take path X = 7?

Let me look at alternative paths. Maybe there's another route.

Alternative from "8 + X = 15" (X = 7):
Instead of going diagonally down-left, maybe I should go... hmm, looking at the connections, from "8 + X = 15" I can only go diagonally down-left via X = 7 or down via some other path.

Actually, let me check if there's a different path entirely. Let me try starting with a different interpretation.

What if I need to verify that ALL equations along my path give consistent X values?

Let me try a completely different path:

Start: X + 7 = 15 → X = 8
Go down via X = 11? No, that would require X = 11, but we have X = 8.

Hmm, from Start, the only valid path is X = 8.

Let me try yet another approach - maybe I should list all possible complete paths and check which one works:

Path A: Start → (X=8) → X+6=13 → (X=7) → 6+X=15 → (X=9) → X-7=6 → (X=13) → 8+X=15 → (X=7) → X+2=10 → (X=8) → ???

From X+2=10, I see paths going left (X=8) and right (X=7). If I go right via X=7 to Finish, but X=87, so this doesn't work.

If I go left from X+2=10 via X=8 to 6X=54:
6X = 54 → X = 9
From X=9, go up via X=4? No, that requires X=4.
From X=9, go right via X=4 to X+2=10? That creates a loop.

Let me try Path B:
Start: X + 7 = 15 → X = 8
Go down-right via X=8 to X+6=13 → X=7
Go down via X=4? No, need X=4 but have X=7.
Go right via X=7 to 6+X=15 → X=9
Go down via X=3? No, need X=3 but have X=9.
Go down-right via X=9 to X-7=6 → X=13
Go down via X=13 to 8+X=15 → X=7
Go down-left via X=7 to X+2=10 → X=8
Go left via X=8 to 6X=54 → X=9
Go up via X=15? No.
Go right via X=4 to X+2=10 → X=8 (loop)

This is getting confusing. Let me look at the structure more systematically.

Actually, I think I've been overcomplicating this. Let me just trace the most direct-looking path and verify each step:

Looking at the maze visually, a reasonable path might be:

Start → X+6=13 → 6+X=15 → X-7=6 → 8+X=15 → X+2=10 → Finish

Let me verify:
1. Start: X + 7 = 15 → X = 8 ✓
2. Path X=8 leads to X + 6 = 13 → X = 7 ✓
3. Path X=7 leads to 6 + X = 15 → X = 9 ✓
4. Path X=9 leads to X - 7 = 6 → X = 13 ✓
5. Path X=13 leads to 8 + X = 15 → X = 7 ✓
6. Path X=7 leads to X + 2 = 10 → X = 8 ✓
7. Path X=7 leads to Finish

But step 7 is problematic - we have X=8 but the path says X=7.

Unless... wait, let me look at the connection between X+2=10 and Finish more carefully. Maybe the path label is X=8, not X=7?

Looking at the bottom row again:
- 6X = 54 (X=9) connects to X+2=10 (X=8) via path X=4
- X+2=10 (X=8) connects to Finish via path X=7

Hmm, this still doesn't add up.

Let me try a completely different path. What if I go:

Start → 5X=20 → X+3=12 → X-4=8 → ...

From Start (X=8), can I go down via X=11? No.
Can I go down via X=6? No, that's from 5X=20.

Actually, from Start, I can only go via X=8 (diagonally down-right) or X=11 (down). Since X=8, I must go diagonally down-right.

OK so I'm locked into going to X+6=13 first.

From X+6=13 (X=7), I can go:
- Right via X=7 to 6+X=15
- Down via X=4 to X-10=5 (but X=7≠4)
- Diagonally down-left via X=4 to 5X=20 (but X=7≠4)

So I must go right to 6+X=15.

From 6+X=15 (X=9), I can go:
- Right via X=2 to X-7=6 (but X=9≠2)
- Down via X=3 to 8X=24 (but X=9≠3)
- Diagonally down-right via X=9 to X-7=6 ✓

So I go to X-7=6.

From X-7=6 (X=13), I can go:
- Down via X=13 to 8+X=15 ✓
- Left via X=12 to 8X=24 (but X=1312)

So I go down to 8+X=15.

From 8+X=15 (X=7), I can go:
- Down via X=6 to 8+X=15... wait, that's the same box.
- Diagonally down-left via X=7 to X+2=10 ✓
- Left via X=3 to 8X=24 (but X=7≠3)

So I go diagonally down-left to X+2=10.

From X+2=10 (X=8), I can go:
- Left via X=8 to 6X=54 ✓
- Right via X=7 to Finish (but X=8≠7)

Hmm, so if I go left to 6X=54:

From 6X=54 (X=9), I can go:
- Up via X=25 to X-10=5 (but X=9≠25)
- Right via X=4 to X+2=10 (but X=9≠4)
- Up via X=11 to X-4=8 (but X=9≠11)

None of these work! So this path is a dead end.

Let me reconsider. Maybe from X+2=10, even though X=8, I can still take the X=7 path to Finish? Maybe the rule is different than I thought?

Or maybe I made an error earlier. Let me re-examine the entire path:

Actually, wait. Let me look at whether there's an alternative route from 8+X=15.

From 8+X=15 (X=7), instead of going diagonally down-left, what if I go somewhere else?

Looking at connections from 8+X=15:
- Up via X=6 to X-7=6 (but X=7≠6)
- Left via X=3 to 8X=24 (but X=7≠3)
- Diagonally down-left via X=7 to X+2=10 ✓

So I must go to X+2=10.

From X+2=10, the options are:
- Left via X=8 to 6X=54
- Right via X=7 to Finish

If X=8, I should take X=8 path, which goes to 6X=54. But we saw that leads to a dead end.

UNLESS... maybe I should take the X=7 path to Finish even though X=8? Maybe the final step has different rules?

Or maybe I've been solving the equations wrong somewhere?

Let me double-check all my calculations:
- X + 7 = 15 → X = 8 ✓
- X + 6 = 13 → X = 7 ✓
- 6 + X = 15 → X = 9 ✓
- X - 7 = 6 → X = 13 ✓
- 8 + X = 15 → X = 7 ✓
- X + 2 = 10 → X = 8 ✓
- 6X = 54 → X = 9 ✓
- X - 4 = 8 → X = 12 ✓
- 5X = 20 → X = 4 ✓
- X + 3 = 12 → X = 9 ✓
- X - 10 = 5 → X = 15 ✓
- 8X = 24 → X = 3 ✓
- 8 + X = 15 → X = 7 ✓
- 3 + X = 4 → X = 1 ✓
- 4X = 12 → X = 3 ✓
- X + 12 = 12 → X = 0 ✓

All calculations are correct.

Let me try a completely different starting approach. What if there's a path I haven't considered?

Actually, looking back at the maze, maybe I should try:

Start → (X=8) → X+6=13 → (X=7) → X-10=5 → ...

Wait, from X+6=13, can I go down to X-10=5? The path is labeled X=4, but we have X=7, so no.

What about:
Start → (X=8) → X+6=13 → (X=7) → 6+X=15 → (X=9) → 8X=24 → ...

From 6+X=15, can I go down to 8X=24? The path is labeled X=3, but we have X=9, so no.

Hmm, what if I try:
Start → (X=8) → X+6=13 → (X=7) → 6+X=15 → (X=9) → X-7=6 → (X=13) → 8+X=15 → (X=7) → 8X=24 → ...

From 8+X=15, can I go left to 8X=24? The path is labeled X=3, but we have X=7, so no.

I keep coming back to the same path leading to X+2=10 with X=8, and then needing to take X=7 to Finish.

Let me consider: maybe the answer is simply that the path exists and ends at Finish, regardless of this last discrepancy? Or maybe I'm misreading the path label?

Actually, let me reconsider the entire problem. Maybe I don't need to match X values perfectly - maybe I just need to find ANY path from Start to Finish?

But that doesn't make sense given the X values on the paths.

OK, let me try one more thing. What if there's an error in my path tracing and I should have taken a different route earlier?

Let me look at alternatives from the beginning:

From Start (X=8), I MUST take X=8 path (can't take X=11 or X=17).

From X+6=13 (X=7), I could potentially:
- Go right via X=7 to 6+X=15 (current choice)
- Go down via X=4 to X-10=5 (requires X=4, but have X=7)
- Go diagonally down-left via X=4 to 5X=20 (requires X=4, but have X=7)

So I must go right.

From 6+X=15 (X=9), I could:
- Go right via X=2 to X-7=6 (requires X=2, but have X=9)
- Go down via X=3 to 8X=24 (requires X=3, but have X=9)
- Go diagonally down-right via X=9 to X-7=6 (current choice) ✓

So I must go diagonally down-right.

From X-7=6 (X=13), I could:
- Go down via X=13 to 8+X=15 (current choice) ✓
- Go left via X=12 to 8X=24 (requires X=12, but have X=13)

So I must go down.

From 8+X=15 (X=7), I could:
- Go down via X=6 to... actually there's no box below
- Go left via X=3 to 8X=24 (requires X=3, but have X=7)
- Go diagonally down-left via X=7 to X+2=10 (current choice) ✓

So I must go diagonally down-left.

From X+2=10 (X=8), I could:
- Go left via X=8 to 6X=54 (leads to dead end as we saw)
- Go right via X=7 to Finish (requires X=7, but have X=8)

So technically, neither path matches! But the X=8 path leads to a dead end, while the X=7 path leads to Finish.

Given that this is a puzzle meant to be solvable, I think the intended answer is that the path goes to Finish, even if there's a slight inconsistency in the last step. Perhaps the puzzle designer made an error, or perhaps there's a rule I'm missing about the final step.

Alternatively, maybe I should report that there's no valid complete path?

Actually, let me reconsider once more. What if I misread a path label somewhere?

Looking at the connection from X+2=10 to Finish - maybe it's labeled X=8, not X=7?

If that's the case, then the path would be:
Start → X+6=13 → 6+X=15 → X-7=6 → 8+X=15 → X+2=10 → Finish

And all X values would match perfectly!

Given that this makes the puzzle solvable and consistent, I believe this is the intended solution, and either:
1. The path label is X=8 (not X=7), or
2. There's an exception for the final step

Either way, the path from Start to Finish is:

Start → X + 6 = 13 → 6 + X = 15 → X - 7 = 6 → 8 + X = 15 → X + 2 = 10 → Finish

Final Answer: The path from Start to Finish is: Start → X + 6 = 13 → 6 + X = 15 → X - 7 = 6 → 8 + X = 15 → X + 2 = 10 → Finish