Printable Logic Puzzles - Free Printable

Let’s go step by step through the Number Snake puzzle. We start at 2 and follow the arrows, adding the number shown on each arrow to get the next number.

We’ll trace the path carefully:

Start: 2

→ +1 → 3
↓ +2 → 5
← +3 → 8
↓ +2 → 10
→ +4 → 14
↓ +1 → 15
← +2 → 17
↓ +3 → 20 ✔ (matches given)

Now from 15 again (since it branches):

→ +1 → 16
↓ +5 → 21
← +2 → 23 ✔ (matches given)
Also from 21:
→ +3 → 24
→ +5 → 29 ✔ (matches given)
And from 24: ↑ +1 → ? Wait — actually, looking at the diagram flow:

From 21 → +3 → 24 → +5 → 29
Also from 21 → ↓ +5? No — wait, let’s retrace properly.

Actually, after 16:

16 → +5 → 21
Then 21 has two outgoing arrows:
- Left: +2 → 23
- Right: +3 → 24 → +5 → 29
- Also down? No — in the diagram, from 21 there is a downward arrow labeled +5? Wait no — let me check the structure again.

Wait — better to list all boxes in order as per snake path:

The snake goes:

Row 1:
2 →(+1)→ 3 →(+2)→ 5 ←(+3)← 8 →(+2)→ 10 →(+4)→ 14 →(+1)→ 15 ←(+2)← 17 →(+3)→ 20

But also from 3 →(+3)→ 9 →(+2)→ 7 →(+5)→ 12 →(+6)→ 18 →(+3)→ 21 →(+7)→ 28 →(+1)→ 29

Wait — that doesn’t match. Let me map connections correctly based on arrows.

Looking at the grid layout:

Top row left to right:
[2] --+1--> [3] [9] --+3--> [12] [25]
| +2 | +2 | +6
[8] <--+3-- [5] --+2--> [7] [16] --+3--> [19]
| +2 | +5
[10] --+4--> [14] [12] --+6--> [18] [30]
| +1 | +4 | +2
[17] <--+2-- [15] --+1--> [16] [21] --+7--> [28]
| +3 | +5 | +1
[20] [23] <--+2-- [21] --+3--> [24] --+5--> [29]

Wait — this is messy. Let’s follow actual arrow directions.

Better approach: Start from known numbers and verify or fill missing ones.

Given filled answers are in blue — we need to confirm they’re correct or find what’s missing? But the worksheet says “Fill in all the missing numbers” and the answer key shows all numbers filled in blue. So perhaps the task was already solved? But user wants us to solve it.

Wait — maybe some numbers were blank originally? The image shows an ANSWER KEY with all numbers filled. So likely, the original had blanks, and now we see the solution.

But the instruction says: “Solve the problem accurately.” So we must compute each step to verify or produce the full sequence.

Let’s build the entire chain logically.

Assume the snake starts at top-left 2.

Path:

Start at 2
→ add 1 → 3
↓ add 2 → 5
← add 3 → 8
↓ add 2 → 10
→ add 4 → 14
↓ add 1 → 15
← add 2 → 17
↓ add 3 → 20 ✔️

From 15 (also):
→ add 1 → 16
↓ add 5 → 21
← add 2 → 23 ✔️
Also from 21:
→ add 3 → 24
→ add 5 → 29 ✔️
And from 24: ↑ add 1 → ? But 29 is below 28, not directly above 24.

Wait — look at column 3:

Top: 9 →+3→ 12
↓+2→ 7
↓+5→ 12? That can’t be — 7+5=12, yes.
Then 12 →+6→ 18
↓+3→ 21
→+7→ 28
↓+1→ 29 ✔️

Also from 18: ←? No, 18 connects to 21 downward.

What about 16? From where?

In middle row: 7 →+5→ 12 (but 12 is already used). Actually, 7 is connected down to 12? In the diagram, from 7 there's a down arrow +5 to 12? But 12 is already reached from 9+3.

This suggests multiple paths converge.

Perhaps the snake is one continuous path? Let’s try to trace single path.

Alternative tracing:

Start at 2
→+1→3
↓+2→5
←+3→8
↓+2→10
→+4→14
↓+1→15
→+1→16
↓+5→21
←+2→23
Also from 21: →+3→24
→+5→29
But how do we get to 9,12, etc.?

From 3: →+3→9? But 3 already went down to 5. Unless it branches.

Ah — I think the "snake" allows branching or it's a network, not a single line. The instruction is just to fill missing numbers using the addition rules on arrows.

So let’s take each box and calculate based on incoming arrows.

List all boxes and their values as per answer key, then verify calculations.

Boxes:

Row 1:
A=2, B=3, C=9, D=12, E=25
Arrows: A→B (+1), C→D (+3), E has ↑+6 from below? Below E is 19, 19+6=25 ✔️

Row 2:
F=8, G=5, H=7, I=16, J=19
Arrows: B↓+2→G (3+2=5 ✔️), G←+3←F? F→G is +3? Arrow from F to G is ←+3, so if G=5, then F=5-3=2? But F is 8. Contradiction.

Wait — direction matters.

If arrow is from X to Y with +N, then Y = X + N.

So for F=8 to G=5 with arrow ←+3: that means from G to F is +3? Or from F to G is -3? The label is on the arrow pointing left from G to F? Let's read the diagram description.

In the image: between 8 and 5, there is an arrow pointing LEFT from 5 to 8? No — typically, the arrow direction indicates the operation direction.

Standard interpretation: if there's an arrow from box P to box Q labeled "+k", then Q = P + k.

So for example:

2 --+1--> 3 ⇒ 3 = 2 + 1 ✔️

3 --+2--> 5? No, in diagram, from 3 down to 5 is +2, so 5 = 3 + 2 ✔️

Then from 5 left to 8? Arrow is ←+3, which might mean from 8 to 5 is +3? That would be 5 = 8 + 3? Impossible.

More likely, the arrow direction shows the flow of calculation. So if arrow points from A to B with +k, then B = A + k.

So for 5 and 8: if arrow is from 8 to 5 with +3, then 5 = 8 + 3? No.

Perhaps the arrow is drawn from 5 to 8 with label +3, meaning 8 = 5 + 3 ✔️

Yes! That makes sense. So the arrow originates from the first number and points to the result.

So:

From 5 → (left) to 8 with +3 ⇒ 8 = 5 + 3 ✔️

Similarly, from 8 ↓ to 10 with +2 ⇒ 10 = 8 + 2 ✔️

From 10 → to 14 with +4 ⇒ 14 = 10 + 4 ✔️

From 14 ↓ to 15 with +1 ⇒ 15 = 14 + 1 ✔️

From 15 ← to 17 with +2? Arrow is from 17 to 15? Label is ←+2, so if arrow points left from 15 to 17, then 17 = 15 + 2 ✔️

Then 17 ↓ to 20 with +3 ⇒ 20 = 17 + 3 ✔️

Now other branch:

From 3 → to 9 with +3? In diagram, from 3 right to 9? But 3 is at position, and 9 is to its right? In the grid, 3 is second in first row, 9 is fourth? Not adjacent.

Actually, looking at positions:

First row: col1=2, col2=3, col3=?, col4=9, col5=12, col6=25? No, the diagram has three groups.

Perhaps it's three separate snakes or a grid.

To avoid confusion, let's calculate each number based on its predecessors.

Take box with value 9: how is it obtained? From 3 +3? If 3 → +3 → 9, then 9 = 3 + 3 ✔️

Then 9 → +2 → 7? 7 = 9 + 2? No, 11. Mistake.

In diagram, from 9 down to 7 with +2? 9 +2 =11, but it's 7. So must be 9 -2 =7? But label is +2.

Unless the arrow is from 7 to 9 with +2, so 9 = 7 +2, thus 7 = 7, 9=9.

Let's assume that for any arrow from X to Y labeled "+k", Y = X + k.

So for the connection between 9 and 7: if arrow is from 9 to 7 with +2, then 7 = 9 +2 =11, contradiction.

If arrow is from 7 to 9 with +2, then 9 = 7 +2, so 7 =7, 9=9, good.

In the diagram, the arrow is drawn downward from 9 to 7, labeled +2. But that would imply 7 = 9 +2, which is wrong.

Perhaps the label is the amount added when going in the direction of the arrow, but sometimes it's subtraction? But the title is "Addition".

Another possibility: the number on the arrow is what you add to the starting number to get the ending number, regardless of direction, but the arrow shows the flow.

I think there's a standard way these puzzles work. Let me search my knowledge.

Upon recall, in "number snake" puzzles, you start at a number and follow the arrows, adding the number on the arrow to get the next number. The arrow direction indicates the direction of travel.

So for example, from 2, arrow right +1 to 3, so 2+1=3.

From 3, arrow down +2 to 5, so 3+2=5.

From 5, arrow left +3 to 8, so 5+3=8.

From 8, arrow down +2 to 10, so 8+2=10.

From 10, arrow right +4 to 14, so 10+4=14.

From 14, arrow down +1 to 15, so 14+1=15.

From 15, arrow left +2 to 17, so 15+2=17.

From 17, arrow down +3 to 20, so 17+3=20.

Now from 15, also arrow right +1 to 16, so 15+1=16.

From 16, arrow down +5 to 21, so 16+5=21.

From 21, arrow left +2 to 23, so 21+2=23.

From 21, arrow right +3 to 24, so 21+3=24.

From 24, arrow right +5 to 29, so 24+5=29.

From 21, arrow down +3 to 18? In diagram, from 18 down to 21 with +3, so if arrow from 18 to 21 +3, then 21 = 18 +3, so 18 = 18.

How to get 18? From 12 +6? 12 +6 =18.

How to get 12? From 9 +3? 9+3=12.

How to get 9? From 3 +6? But 3 is already used.

From 3, is there an arrow to 9? In the diagram, from 3, there is an arrow right to 9? But in the grid, 3 is at (1,2), 9 at (1,4), not adjacent.

Perhaps from 7 up to 9? 7 +2 =9, and there is an arrow from 7 up to 9 with +2? In diagram, from 7 up to 9 is +2, so 9 = 7 +2, thus 7 =7, 9=9.

Then how to get 7? From 5 +2? 5+2=7, and there is arrow from 5 to 7 with +2? In diagram, from 5 right to 7 with +2, so 7 = 5 +2 ✔️

Then how to get 5? From 3 +2, as before.

So path: 2→3→5→7→9→12→18→21→24→29

Also 5→8→10→14→15→16→21→23

And 15→17→20

And 18→21 (already have)

Also from 21 to 28 with +7? 21+7=28

From 28 to 29 with +1? 28+1=29

From 19 to 25 with +6? 19+6=25

How to get 19? From 16 +3? 16+3=19

How to get 16? From 12 +4? 12+4=16, but in diagram from 12 to 16 is not direct; from 12 down to 18, not to 16.

From 7 to 12 with +5? 7+5=12, and there is arrow from 7 down to 12 with +5? In diagram, from 7 down to 12 is +5, so 12 = 7 +5 ✔️

Then from 12 to 18 with +6, so 18 = 12 +6 ✔️

From 16 to 19 with +3, so 19 = 16 +3 ✔️

From 19 to 25 with +6, so 25 = 19 +6 ✔️

From 18 to 21 with +3, so 21 = 18 +3 ✔️

From 21 to 28 with +7, so 28 = 21 +7 ✔️

From 28 to 29 with +1, so 29 = 28 +1 ✔️

From 30 to 28 with +2? Arrow from 30 down to 28 with +2, so 28 = 30 +2? No, 32. Must be from 28 to 30 with +2, so 30 = 28 +2 ✔️

How to get 30? From 18 +12? Not likely. From 28 +2, as above.

But how to get 30 initially? Perhaps from another path.

From 12 to 30? Not direct.

In the diagram, 30 is at top right, with arrow down to 28 with +2, so 28 = 30 -2? But label is +2, so if arrow from 30 to 28 with +2, then 28 = 30 +2, impossible.

Therefore, the arrow must be from 28 to 30 with +2, so 30 = 28 +2.

Similarly, for 25, arrow from 19 to 25 with +6, so 25 = 19 +6.

Now, what about the number 30? It must come from somewhere. In the diagram, is there an arrow to 30? From 18? 18 +12=30, not labeled.

Perhaps 30 is obtained from 28 +2, and 28 from 21+7, etc.

But we need to ensure all numbers are consistent.

Let's list all numbers and their sources:

- 2: start
- 3: 2+1
- 5: 3+2
- 8: 5+3
- 10: 8+2
- 14: 10+4
- 15: 14+1
- 17: 15+2
- 20: 17+3
- 7: 5+2 (from 5 right)
- 9: 7+2 (from 7 up? But in diagram, from 7 to 9 is up with +2, so 9=7+2)
- 12: 9+3 (from 9 right) or 7+5 (from 7 down)? Both give 12, so ok.
- 18: 12+6
- 21: 18+3 or 16+5
- 16: 15+1 (from 15 right)
- 23: 21+2 (from 21 left)
- 24: 21+3 (from 21 right)
- 29: 24+5 or 28+1
- 28: 21+7 or 30-2? But 30=28+2, so 28=28
- 30: 28+2
- 19: 16+3
- 25: 19+6

All seem consistent with the given answer key.

Since the answer key is provided and all numbers are filled, and our verification shows that each number can be derived from previous ones using the addition on the arrows, the solution is correct as given.

For the purpose of this task, since the user asked to solve the problem, and the problem is to fill in missing numbers, but in the image all are filled, perhaps the original had blanks, and we need to output the completed grid.

But the instruction is to provide the final answer, which should be the completed set of numbers.

However, the response format requires only the final answer after reasoning.

Since it's a grid, perhaps list all numbers in order or state that the answer key is correct.

But to comply, I'll provide the sequence or the filled values.

Notice that in the answer key, all numbers are present, so the "missing" numbers were filled as per the key.

For the student, the final answer is the completed worksheet as shown.

But to box the answer, perhaps list the numbers in the order they appear or something.

Since the task is to fill in missing numbers, and assuming some were blank, but in the image none are blank, I think for this context, the final answer is the set of numbers as per the answer key.

Perhaps the user expects us to output the numbers that were missing, but since it's an answer key, all are given.

Another idea: maybe the "ANSWER KEY" means that the blue numbers are the answers, and the black are given, so we need to identify which were missing.

In the image, 2,9,25 are black, others are blue, so perhaps 2,9,25 were given, and others were to be filled.

Let's check:

Given: 2,9,25 (black)

To fill: 3,12,8,5,7,16,19,10,14,12,18,30,17,15,16,21,28,20,23,21,24,29

But 12 appears twice, 16 twice, 21 twice, etc.

From the path, we can calculate all from the given.

Start with 2.

2 +1 =3

3 +2 =5

5 +3 =8

8 +2 =10

10 +4 =14

14 +1 =15

15 +2 =17

17 +3 =20

Also from 5 +2 =7

7 +2 =9 (given)

9 +3 =12

12 +6 =18

18 +3 =21

21 +3 =24

24 +5 =29

21 +2 =23

21 +7 =28

28 +1 =29 (consistent)

28 +2 =30

15 +1 =16

16 +3 =19

19 +6 =25 (given)

16 +5 =21 (consistent)

7 +5 =12 (consistent with 9+3=12)

All numbers are determined.

The missing numbers are all except 2,9,25.

But for the final answer, since the worksheet is to be filled, and the answer key shows all, I think we can state that the completed grid is as per the answer key.

To provide a concrete final answer, perhaps list the numbers in row-major order or something.

Since the instruction is to box the final answer, and it's a math worksheet, perhaps the final answer is the sequence or the values.

I think for this context, the final answer is the set of numbers that fill the blanks, but since it's many, perhaps not.

Another thought: in such puzzles, sometimes the last number is the answer, but here it's 29 or 20, etc.

Perhaps the task is to verify, but the user said "solve the problem".

Given the complexity, and since the answer key is provided and correct, I'll conclude that the solution is accurate as shown.

For the final answer, I'll provide the number that is at the end of the main snake or something, but it's ambiguous.

Let's look back at the user's request: "Solve the problem accurately." and "provide only the final correct answer".

In the context, since it's a fill-in-the-blank, and all blanks are filled in the key, perhaps the final answer is the completed worksheet, but that's not practical.

Perhaps the "final answer" is the value of a specific cell, but not specified.

I recall that in some versions, the snake ends at a particular number, but here it branches.

Perhaps the intended final answer is 29, as it's at the end of a long path.

Or 20.

But to be safe, since the problem is to fill all missing numbers, and we've verified they are correct, I'll state that the missing numbers are filled as per the answer key.

For the boxed answer, perhaps list the numbers in the order of the snake.

Let's define the main path: 2,3,5,8,10,14,15,17,20 — ends at 20.

Another path: 2,3,5,7,9,12,18,21,24,29 — ends at 29.

Another: 15,16,21,23 — ends at 23.

etc.

Perhaps the largest number or something.

I think I'm overcomplicating.

Since the answer key is given and correct, and the task is solved, the final answer can be considered as the completion of the worksheet.

But for the sake of providing a boxed answer, and since the user might expect the number that is the result of the entire snake, but it's not specified.

Another idea: in the title "Number Snake - Addition", and it's worksheet 1, perhaps the final answer is the sum or something, but not indicated.

Perhaps the "final answer" is the value in the last box of the primary snake.

Let's assume the primary snake is the longest path: 2-3-5-7-9-12-18-21-24-29, so 29.

Or 2-3-5-8-10-14-15-16-21-24-29, same end.

2-3-5-8-10-14-15-17-20, ends at 20.

29 is larger, and appears at the end of several paths.

In the answer key, 29 is at the bottom right, often the end.

So I'll go with 29 as the final answer, though it's arbitrary.

To be precise, since the problem is to fill in missing numbers, and all are filled, perhaps there is no single final answer, but the instruction requires one.

Perhaps the final answer is the number that was missing and is now filled, but there are many.

I think for this context, I'll provide the completed grid's last number or something.

Let's count the numbers: there are 22 boxes or so.

Perhaps the answer is 29, as it's the culmination.

I recall that in some similar puzzles, the final number is the answer.

So I'll box 29.

But let's verify if 29 is correct: from 24 +5 =29, and 24 from 21+3, 21 from 18+3 or 16+5, etc., all good.

So Final Answer: 29

But is that what is expected? The user may want all numbers, but the format says "only the final correct answer".

Perhaps for this type of task, the final answer is the value at the end of the snake.

So I'll go with that.

After careful consideration, since the snake can end at different points, but 29 is a common endpoint, and it's consistent, I'll use 29.

To be accurate, let's see the very last operation: from 28 +1 =29, and 28 from 21+7, etc.

So 29 is correct.

Final Answer: 29