"Race to the Moon: A fun division math game where students solve problems to reach the Moon first."
A colorful "Race to the Moon" math worksheet featuring division problems up to 10x10, with a hexagonal path from Earth to the Moon, designed for educational practice.
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Show Answer Key & Explanations
Step-by-step solution for: Math Division Games
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Show Answer Key & Explanations
Step-by-step solution for: Math Division Games
The image is a fun math activity titled "Race to the Moon," where the goal is to solve division problems and navigate from Earth to the Moon. The task involves solving each division problem in the hexagonal grid, starting from the bottom left corner (Earth) and moving toward the top right corner (Moon). Let's break down the solution step by step.
The grid consists of hexagons containing division problems. Each problem must be solved correctly to determine the path forward. The path can move horizontally or diagonally to adjacent hexagons.
We will solve each division problem in the grid. Here are the solutions:
#### Bottom Row:
- \( 16 \div 8 = 2 \)
- \( 30 \div 5 = 6 \)
- \( 60 \div 10 = 6 \)
- \( 54 \div 5 = 10.8 \) (This is not an integer, so it's likely a typo or error. We'll assume it should be \( 54 \div 6 = 9 \))
- \( 24 \div 4 = 6 \)
- \( 54 \div 9 = 6 \)
- \( 36 \div 4 = 9 \)
#### Second Row from Bottom:
- \( 6 \div 6 = 1 \)
- \( 36 \div 9 = 4 \)
- \( 54 \div 5 = 10.8 \) (Likely a typo, assuming \( 54 \div 6 = 9 \))
- \( 50 \div 5 = 10 \)
- \( 54 \div 9 = 6 \)
- \( 24 \div 6 = 4 \)
- \( 49 \div 7 = 7 \)
#### Third Row from Bottom:
- \( 12 \div 3 = 4 \)
- \( 14 \div 2 = 7 \)
- \( 18 \div 3 = 6 \)
- \( 48 \div 8 = 6 \)
- \( 40 \div 5 = 8 \)
- \( 40 \div 8 = 5 \)
- \( 81 \div 9 = 9 \)
#### Fourth Row from Bottom:
- \( 10 \div 2 = 5 \)
- \( 15 \div 3 = 5 \)
- \( 32 \div 4 = 8 \)
- \( 63 \div 9 = 7 \)
- \( 54 \div 6 = 9 \)
- \( 72 \div 9 = 8 \)
- \( 25 \div 5 = 5 \)
#### Fifth Row from Bottom:
- \( 20 \div 5 = 4 \)
- \( 20 \div 5 = 4 \)
- \( 9 \div 9 = 1 \)
- \( 70 \div 7 = 10 \)
- \( 24 \div 3 = 8 \)
- \( 42 \div 7 = 6 \)
- \( 48 \div 6 = 8 \)
#### Sixth Row from Bottom:
- \( 12 \div 3 = 4 \)
- \( 8 \div 1 = 8 \)
- \( 27 \div 3 = 9 \)
- \( 30 \div 6 = 5 \)
- \( 64 \div 8 = 8 \)
- \( 72 \div 8 = 9 \)
#### Seventh Row from Bottom:
- \( 8 \div 1 = 8 \)
- \( 16 \div 4 = 4 \)
- \( 21 \div 3 = 7 \)
- \( 36 \div 6 = 6 \)
- \( 24 \div 4 = 6 \)
- \( 16 \div 2 = 8 \)
#### Top Row:
- \( 12 \div 2 = 6 \)
- \( 35 \div 5 = 7 \)
- \( 18 \div 2 = 9 \)
- \( 8 \div 1 = 8 \)
To reach the Moon, we need to find a continuous path from the bottom left corner to the top right corner, moving only to adjacent hexagons (horizontally or diagonally).
#### Starting Point:
- Bottom left corner: \( 16 \div 8 = 2 \)
#### Possible Path:
1. Move right: \( 30 \div 5 = 6 \)
2. Move right: \( 60 \div 10 = 6 \)
3. Move up-right: \( 54 \div 6 = 9 \)
4. Move up-right: \( 54 \div 9 = 6 \)
5. Move up-right: \( 24 \div 6 = 4 \)
6. Move up-right: \( 49 \div 7 = 7 \)
7. Move up: \( 81 \div 9 = 9 \)
8. Move up-left: \( 72 \div 9 = 8 \)
9. Move up-left: \( 64 \div 8 = 8 \)
10. Move up-left: \( 30 \div 6 = 5 \)
11. Move up-left: \( 27 \div 3 = 9 \)
12. Move up-left: \( 21 \div 3 = 7 \)
13. Move up-left: \( 18 \div 6 = 3 \)
14. Move up-left: \( 35 \div 5 = 7 \)
15. Move up-left: \( 18 \div 2 = 9 \)
16. Move up-left: \( 8 \div 1 = 8 \)
The path from Earth to the Moon involves solving each division problem correctly and following the sequence of moves described above. The final answer is:
\[
\boxed{8}
\]
This represents the value in the top-right hexagon, which is the destination (Moon).
Step 1: Understand the Grid
The grid consists of hexagons containing division problems. Each problem must be solved correctly to determine the path forward. The path can move horizontally or diagonally to adjacent hexagons.
Step 2: Solve Each Division Problem
We will solve each division problem in the grid. Here are the solutions:
#### Bottom Row:
- \( 16 \div 8 = 2 \)
- \( 30 \div 5 = 6 \)
- \( 60 \div 10 = 6 \)
- \( 54 \div 5 = 10.8 \) (This is not an integer, so it's likely a typo or error. We'll assume it should be \( 54 \div 6 = 9 \))
- \( 24 \div 4 = 6 \)
- \( 54 \div 9 = 6 \)
- \( 36 \div 4 = 9 \)
#### Second Row from Bottom:
- \( 6 \div 6 = 1 \)
- \( 36 \div 9 = 4 \)
- \( 54 \div 5 = 10.8 \) (Likely a typo, assuming \( 54 \div 6 = 9 \))
- \( 50 \div 5 = 10 \)
- \( 54 \div 9 = 6 \)
- \( 24 \div 6 = 4 \)
- \( 49 \div 7 = 7 \)
#### Third Row from Bottom:
- \( 12 \div 3 = 4 \)
- \( 14 \div 2 = 7 \)
- \( 18 \div 3 = 6 \)
- \( 48 \div 8 = 6 \)
- \( 40 \div 5 = 8 \)
- \( 40 \div 8 = 5 \)
- \( 81 \div 9 = 9 \)
#### Fourth Row from Bottom:
- \( 10 \div 2 = 5 \)
- \( 15 \div 3 = 5 \)
- \( 32 \div 4 = 8 \)
- \( 63 \div 9 = 7 \)
- \( 54 \div 6 = 9 \)
- \( 72 \div 9 = 8 \)
- \( 25 \div 5 = 5 \)
#### Fifth Row from Bottom:
- \( 20 \div 5 = 4 \)
- \( 20 \div 5 = 4 \)
- \( 9 \div 9 = 1 \)
- \( 70 \div 7 = 10 \)
- \( 24 \div 3 = 8 \)
- \( 42 \div 7 = 6 \)
- \( 48 \div 6 = 8 \)
#### Sixth Row from Bottom:
- \( 12 \div 3 = 4 \)
- \( 8 \div 1 = 8 \)
- \( 27 \div 3 = 9 \)
- \( 30 \div 6 = 5 \)
- \( 64 \div 8 = 8 \)
- \( 72 \div 8 = 9 \)
#### Seventh Row from Bottom:
- \( 8 \div 1 = 8 \)
- \( 16 \div 4 = 4 \)
- \( 21 \div 3 = 7 \)
- \( 36 \div 6 = 6 \)
- \( 24 \div 4 = 6 \)
- \( 16 \div 2 = 8 \)
#### Top Row:
- \( 12 \div 2 = 6 \)
- \( 35 \div 5 = 7 \)
- \( 18 \div 2 = 9 \)
- \( 8 \div 1 = 8 \)
Step 3: Determine the Path
To reach the Moon, we need to find a continuous path from the bottom left corner to the top right corner, moving only to adjacent hexagons (horizontally or diagonally).
#### Starting Point:
- Bottom left corner: \( 16 \div 8 = 2 \)
#### Possible Path:
1. Move right: \( 30 \div 5 = 6 \)
2. Move right: \( 60 \div 10 = 6 \)
3. Move up-right: \( 54 \div 6 = 9 \)
4. Move up-right: \( 54 \div 9 = 6 \)
5. Move up-right: \( 24 \div 6 = 4 \)
6. Move up-right: \( 49 \div 7 = 7 \)
7. Move up: \( 81 \div 9 = 9 \)
8. Move up-left: \( 72 \div 9 = 8 \)
9. Move up-left: \( 64 \div 8 = 8 \)
10. Move up-left: \( 30 \div 6 = 5 \)
11. Move up-left: \( 27 \div 3 = 9 \)
12. Move up-left: \( 21 \div 3 = 7 \)
13. Move up-left: \( 18 \div 6 = 3 \)
14. Move up-left: \( 35 \div 5 = 7 \)
15. Move up-left: \( 18 \div 2 = 9 \)
16. Move up-left: \( 8 \div 1 = 8 \)
Final Answer:
The path from Earth to the Moon involves solving each division problem correctly and following the sequence of moves described above. The final answer is:
\[
\boxed{8}
\]
This represents the value in the top-right hexagon, which is the destination (Moon).
Parent Tip: Review the logic above to help your child master the concept of division puzzles worksheet.