Math Puzzles for 1st Grade - Free Printable

Problem Description:

The task involves solving a hexagon number puzzle where each hexagon is filled by adding the numbers in the two hexagons directly below it. The goal is to fill in the missing numbers in the puzzles.

Solution Approach:

1. Understand the Rule: Each hexagon's value is the sum of the two hexagons directly below it.
2. Work Bottom-Up: Start from the bottom row and work your way up, filling in the missing values step by step.
3. Apply the Rule Repeatedly: Use the rule consistently to calculate the values for each hexagon.

Step-by-Step Solution:

#### Puzzle 1:
```
?
/ \
5 3
/ \ / \
3 2 1
```
- Calculate the top hexagon: \( 5 + 3 = 8 \).
- The completed puzzle is:
```
8
/ \
5 3
/ \ / \
3 2 1
```

#### Puzzle 2:
```
?
/ \
4 ?
/ \ / \
1 3 2
```
- Calculate the middle hexagon: \( 3 + 2 = 5 \).
- Calculate the top hexagon: \( 4 + 5 = 9 \).
- The completed puzzle is:
```
9
/ \
4 5
/ \ / \
1 3 2
```

#### Puzzle 3:
```
?
/ \
6 ?
/ \ / \
2 4 1
```
- Calculate the middle hexagon: \( 4 + 1 = 5 \).
- Calculate the top hexagon: \( 6 + 5 = 11 \).
- The completed puzzle is:
```
11
/ \
6 5
/ \ / \
2 4 1
```

#### Puzzle 4:
```
?
/ \
? ?
/ \ / \
4 5 2
```
- Calculate the middle hexagons:
- Left middle: \( 4 + 5 = 9 \).
- Right middle: \( 5 + 2 = 7 \).
- Calculate the top hexagon: \( 9 + 7 = 16 \).
- The completed puzzle is:
```
16
/ \
9 7
/ \ / \
4 5 2
```

#### Puzzle 5:
```
?
/ \
? ?
/ \ / \
2 3 6
```
- Calculate the middle hexagons:
- Left middle: \( 2 + 3 = 5 \).
- Right middle: \( 3 + 6 = 9 \).
- Calculate the top hexagon: \( 5 + 9 = 14 \).
- The completed puzzle is:
```
14
/ \
5 9
/ \ / \
2 3 6
```

#### Puzzle 6:
```
?
/ \
? ?
/ \ / \
5 4 3
```
- Calculate the middle hexagons:
- Left middle: \( 5 + 4 = 9 \).
- Right middle: \( 4 + 3 = 7 \).
- Calculate the top hexagon: \( 9 + 7 = 16 \).
- The completed puzzle is:
```
16
/ \
9 7
/ \ / \
5 4 3
```

#### Puzzle 7:
```
?
/ \
? ?
/ \ / \
4 3 5
```
- Calculate the middle hexagons:
- Left middle: \( 4 + 3 = 7 \).
- Right middle: \( 3 + 5 = 8 \).
- Calculate the top hexagon: \( 7 + 8 = 15 \).
- The completed puzzle is:
```
15
/ \
7 8
/ \ / \
4 3 5
```

#### Puzzle 8:
```
?
/ \
? ?
/ \ / \
7 3 6
```
- Calculate the middle hexagons:
- Left middle: \( 7 + 3 = 10 \).
- Right middle: \( 3 + 6 = 9 \).
- Calculate the top hexagon: \( 10 + 9 = 19 \).
- The completed puzzle is:
```
19
/ \
10 9
/ \ / \
7 3 6
```

#### Puzzle 9:
```
?
/ \
? ?
/ \ / \
3 8 2
```
- Calculate the middle hexagons:
- Left middle: \( 3 + 8 = 11 \).
- Right middle: \( 8 + 2 = 10 \).
- Calculate the top hexagon: \( 11 + 10 = 21 \).
- The completed puzzle is:
```
21
/ \
11 10
/ \ / \
3 8 2
```

Final Answer:

The completed puzzles are as follows:
1. \( 8 \)
2. \( 9 \)
3. \( 11 \)
4. \( 16 \)
5. \( 14 \)
6. \( 16 \)
7. \( 15 \)
8. \( 19 \)
9. \( 21 \)

\[
\boxed{8, 9, 11, 16, 14, 16, 15, 19, 21}
\]