Free Math Puzzles - Addition and Subtraction - Free Printable

It looks like you've uploaded an image of a completed "Tree Adding Puzzle 2" worksheet from Math-Salamanders.com, designed for 2nd-grade students. The goal of the puzzle is to fill in missing numbers in a tree-shaped hexagon pattern such that each number is the sum of the two numbers directly below it.

Let’s go through the solution logic and verify each tree step by step, explaining how the numbers were derived.

---

🔷 Rule Recap:

Each number in a hexagon is the sum of the two numbers immediately below it.

The structure is:
```
[A]
[B] [C]
[D] [E] [F]
```
So:
- A = B + C
- B = D + E
- C = E + F

We can work from bottom to top, or top to bottom, depending on what's given.

---

Let’s analyze each tree:

---

🌲 Tree 1 (Completed Example)

```
15
7 8
2 5 3
```

Check:
- 7 + 8 = 15 ✔
- 2 + 5 = 7 ✔
- 5 + 3 = 8 ✔

✔ Correct and consistent.

---

🌲 Tree 2

```
16
10 6
8 2 4
```

Check:
- 10 + 6 = 16 ✔
- 8 + 2 = 10 ✔
- 2 + 4 = 6 ✔

✔ All correct.

---

🌲 Tree 3

```
30
14 16
5 9 7
```

Check:
- 14 + 16 = 30 ✔
- 5 + 9 = 14 ✔
- 9 + 7 = 16 ✔

✔ All correct.

---

🌲 Tree 4

```
24
10 14
4 6 8
```

Check:
- 10 + 14 = 24 ✔
- 4 + 6 = 10 ✔
- 6 + 8 = 14 ✔

✔ All correct.

---

🌲 Tree 5

```
20
9 11
3 6 5
```

Check:
- 9 + 11 = 20 ✔
- 3 + 6 = 9 ✔
- 6 + 5 = 11 ✔

✔ All correct.

---

🌲 Tree 6

```
25
12 13
5 7 6
```

Check:
- 12 + 13 = 25 ✔
- 5 + 7 = 12 ✔
- 7 + 6 = 13 ✔

✔ All correct.

---

✔ Final Summary:

All six trees follow the rule: each number is the sum of the two numbers directly below it. The red numbers are the ones filled in as solutions, and they are all mathematically correct.

---

💡 How to Solve These Puzzles (Step-by-step Guide):

If you're solving one without answers, here's how:

#### Step 1: Start from the bottom row.
You usually have three numbers at the base (like 2, 5, 3).

#### Step 2: Add adjacent pairs to get the middle row.
- Left middle = left + center bottom → 2 + 5 = 7
- Right middle = center + right bottom → 5 + 3 = 8

#### Step 3: Add the two middle numbers to get the top.
- Top = 7 + 8 = 15

Or, if you’re missing some numbers, work backward:

For example, suppose you know the top number is 20 and the bottom-left is 3, but others are missing.

Let’s say:
```
20
? ?
3 ? ?
```

Then:
- Let the middle-left be X, middle-right be Y
- So: X + Y = 20
- Also: X = 3 + (middle-bottom), etc.

But in this case, since all trees are already solved correctly, no corrections are needed.

---

✔ Conclusion:

This worksheet is a great way to practice addition facts and logical reasoning. It reinforces the idea that numbers can be broken down into parts, which is foundational for algebraic thinking.

All solutions provided are correct and satisfy the puzzle rules.

Let me know if you'd like a blank version of this puzzle to solve yourself! 😊