Math Puzzles for 1st Grade - Free Printable

Problem Description:

We are tasked with filling the circles in the diagram with the digits 1, 2, 3, and 6 such that the numbers in the hexagons are equal to the sum of the two numbers in the circles on either side. The hexagons already contain the numbers 4, 7, 5, and 8.

Diagram Recap:

- Top hexagon: 4
- Left hexagon: 7
- Right hexagon: 5
- Bottom hexagon: 8

The goal is to assign the digits 1, 2, 3, and 6 to the circles so that the sums match the numbers in the hexagons.

Step-by-Step Solution:

#### 1. Analyze the Top Hexagon (4):
The top hexagon has the number 4. This means the sum of the two numbers in the circles on either side must be 4. The possible pairs of digits from {1, 2, 3, 6} that add up to 4 are:
- 1 + 3 = 4

So, the circles on either side of the top hexagon must be 1 and 3 (in some order).

#### 2. Analyze the Left Hexagon (7):
The left hexagon has the number 7. This means the sum of the two numbers in the circles on either side must be 7. The possible pairs of digits from {1, 2, 3, 6} that add up to 7 are:
- 1 + 6 = 7
- 2 + 5 = 7 (but 5 is not in our set)

So, the circles on either side of the left hexagon must be 1 and 6 (in some order).

#### 3. Analyze the Right Hexagon (5):
The right hexagon has the number 5. This means the sum of the two numbers in the circles on either side must be 5. The possible pairs of digits from {1, 2, 3, 6} that add up to 5 are:
- 2 + 3 = 5

So, the circles on either side of the right hexagon must be 2 and 3 (in some order).

#### 4. Analyze the Bottom Hexagon (8):
The bottom hexagon has the number 8. This means the sum of the two numbers in the circles on either side must be 8. The possible pairs of digits from {1, 2, 3, 6} that add up to 8 are:
- 2 + 6 = 8

So, the circles on either side of the bottom hexagon must be 2 and 6 (in some order).

#### 5. Assign Values Consistently:
Now, we need to assign the digits 1, 2, 3, and 6 to the circles while satisfying all the conditions.

- From the top hexagon (4), the circles must be 1 and 3.
- From the left hexagon (7), the circles must be 1 and 6.
- From the right hexagon (5), the circles must be 2 and 3.
- From the bottom hexagon (8), the circles must be 2 and 6.

Let's try to assign the values step by step:

- Place 1 and 3 in the circles around the top hexagon.
- Place 1 and 6 in the circles around the left hexagon.
- Place 2 and 3 in the circles around the right hexagon.
- Place 2 and 6 in the circles around the bottom hexagon.

By trial and error or logical deduction, we can find a consistent assignment:

- Top left circle: 1
- Top right circle: 3
- Left bottom circle: 6
- Right bottom circle: 2

#### Verification:
- Top hexagon: 1 + 3 = 4 (correct)
- Left hexagon: 1 + 6 = 7 (correct)
- Right hexagon: 3 + 2 = 5 (correct)
- Bottom hexagon: 6 + 2 = 8 (correct)

All conditions are satisfied.

Final Answer:

The digits in the circles are:
- Top left: 1
- Top right: 3
- Left bottom: 6
- Right bottom: 2

$$
\boxed{1, 3, 6, 2}
$$