Based on the analysis of multiple puzzles in the image, I can now definitively solve the problem and explain the solution.
The rule for the "Total Product Puzzle 3C" is as follows:
- Each puzzle consists of three numbers placed in hexagons (two black hexagons and one green box) and one number in an orange box.
- The number in the
orange box is the
product (multiplication) of the two numbers located in the
black hexagons.
- The number in the
green box is not used to calculate the number in the orange box. It appears to be extraneous information for this specific puzzle type, or perhaps it's part of a different, unasked question.
This rule is consistent across all the puzzles shown in the answer key.
Verification with Examples:
1.
Top-Left Puzzle: Black hexagons contain 4 and 6. $4 \times 6 = 24$. This matches the orange box.
2.
Top-Middle Puzzle: Black hexagons contain 7 and 5. $7 \times 5 = 35$. This matches the orange box.
3.
Top-Right Puzzle: Black hexagons contain 10 and 5. $10 \times 5 = 50$. This matches the orange box.
4.
Middle-Left Puzzle: Black hexagons contain 4 and 9. $4 \times 9 = 36$. This matches the orange box.
5.
Bottom-Right Puzzle: Black hexagons contain 9 and 7. $9 \times 7 = 63$. This matches the orange box.
Therefore, to solve any puzzle of this type, you simply multiply the two numbers found in the black hexagons to get the answer for the orange box. The note about the numbers being correct if placed the other way round likely refers to the fact that multiplication is commutative (e.g., $4 \times 6$ is the same as $6 \times 4$), so the position of the two numbers in the black hexagons doesn't matter.
Parent Tip: Review the logic above to help your child master the concept of fun math worksheet for 3rd grade.
