"Fishin' For Digits!" educational worksheet with number grids and a 120 board activity.
A black and white educational worksheet titled "Fishin' For Digits!" featuring four partially filled 3x3 grids with numbers, instructing students to use a 120 board to complete the charts. The worksheet includes decorative fish illustrations and a space for the student's name.
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ID: #515052
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Show Answer Key & Explanations
Step-by-step solution for: Math Puzzles Printable for Learning | Activity Shelter | Fun math ...
▼
Show Answer Key & Explanations
Step-by-step solution for: Math Puzzles Printable for Learning | Activity Shelter | Fun math ...
To solve the problem, we need to fill in the missing numbers in the grids using patterns and logical reasoning. Let's analyze each grid step by step.
```
| |
--+---+---
| 46|
--+---+---
55| | 57
--+---+---
| 66|
```
#### Step 1: Identify the pattern.
- The number 46 is in the top row, middle column.
- The number 55 is in the second row, first column.
- The number 57 is in the second row, third column.
- The number 66 is in the third row, middle column.
#### Step 2: Fill in the missing numbers.
- The number 55 (second row, first column) and 57 (second row, third column) suggest a difference of 2 between consecutive numbers in the same row.
- Therefore, the number in the second row, middle column should be \( 55 + 1 = 56 \).
- The number 46 (top row, middle column) and 56 (second row, middle column) suggest a difference of 10 between consecutive numbers in the same column.
- Therefore, the number in the top row, first column should be \( 55 - 10 = 45 \).
- The number in the top row, third column should be \( 57 - 10 = 47 \).
- The number in the third row, first column should be \( 66 - 10 = 56 \).
- The number in the third row, third column should be \( 66 + 1 = 67 \).
#### Final Grid 1:
```
45| 46| 47
--+---+---
55| 56| 57
--+---+---
56| 66| 67
```
```
| 99|
--+---+---
108| |110
--+---+---
|119|
```
#### Step 1: Identify the pattern.
- The number 99 is in the top row, middle column.
- The number 108 is in the second row, first column.
- The number 110 is in the second row, third column.
- The number 119 is in the third row, middle column.
#### Step 2: Fill in the missing numbers.
- The number 108 (second row, first column) and 110 (second row, third column) suggest a difference of 2 between consecutive numbers in the same row.
- Therefore, the number in the second row, middle column should be \( 108 + 1 = 109 \).
- The number 99 (top row, middle column) and 109 (second row, middle column) suggest a difference of 10 between consecutive numbers in the same column.
- Therefore, the number in the top row, first column should be \( 108 - 10 = 98 \).
- The number in the top row, third column should be \( 110 - 10 = 100 \).
- The number in the third row, first column should be \( 119 - 10 = 109 \).
- The number in the third row, third column should be \( 119 + 1 = 120 \).
#### Final Grid 2:
```
98| 99|100
--+---+---
108|109|110
--+---+---
109|119|120
```
```
91| |
--+---+---
| |103
--+---+---
|112|
```
#### Step 1: Identify the pattern.
- The number 91 is in the top row, first column.
- The number 103 is in the second row, third column.
- The number 112 is in the third row, second column.
#### Step 2: Fill in the missing numbers.
- The number 91 (top row, first column) and 103 (second row, third column) suggest a difference of 12 between consecutive numbers in the same column.
- Therefore, the number in the second row, first column should be \( 91 + 10 = 101 \).
- The number in the third row, first column should be \( 101 + 10 = 111 \).
- The number in the top row, second column should be \( 91 + 1 = 92 \).
- The number in the top row, third column should be \( 92 + 1 = 93 \).
- The number in the second row, second column should be \( 101 + 1 = 102 \).
- The number in the third row, third column should be \( 112 + 1 = 113 \).
#### Final Grid 3:
```
91| 92| 93
--+---+---
101|102|103
--+---+---
111|112|113
```
```
93| |
--+---+---
|104|
--+---+---
| |115
```
#### Step 1: Identify the pattern.
- The number 93 is in the top row, first column.
- The number 104 is in the second row, second column.
- The number 115 is in the third row, third column.
#### Step 2: Fill in the missing numbers.
- The number 93 (top row, first column) and 104 (second row, second column) suggest a difference of 11 between consecutive numbers in the same column.
- Therefore, the number in the second row, first column should be \( 93 + 10 = 103 \).
- The number in the third row, first column should be \( 103 + 10 = 113 \).
- The number in the top row, second column should be \( 93 + 1 = 94 \).
- The number in the top row, third column should be \( 94 + 1 = 95 \).
- The number in the second row, third column should be \( 104 + 1 = 105 \).
- The number in the third row, second column should be \( 115 - 1 = 114 \).
#### Final Grid 4:
```
93| 94| 95
--+---+---
103|104|105
--+---+---
113|114|115
```
```
Grid 1:
45| 46| 47
--+---+---
55| 56| 57
--+---+---
56| 66| 67
Grid 2:
98| 99|100
--+---+---
108|109|110
--+---+---
109|119|120
Grid 3:
91| 92| 93
--+---+---
101|102|103
--+---+---
111|112|113
Grid 4:
93| 94| 95
--+---+---
103|104|105
--+---+---
113|114|115
```
\boxed{
\begin{array}{|c|c|c|}
\hline
45 & 46 & 47 \\
\hline
55 & 56 & 57 \\
\hline
56 & 66 & 67 \\
\hline
\end{array}
\quad
\begin{array}{|c|c|c|}
\hline
98 & 99 & 100 \\
\hline
108 & 109 & 110 \\
\hline
109 & 119 & 120 \\
\hline
\end{array}
\quad
\begin{array}{|c|c|c|}
\hline
91 & 92 & 93 \\
\hline
101 & 102 & 103 \\
\hline
111 & 112 & 113 \\
\hline
\end{array}
\quad
\begin{array}{|c|c|c|}
\hline
93 & 94 & 95 \\
\hline
103 & 104 & 105 \\
\hline
113 & 114 & 115 \\
\hline
\end{array}
}
Grid 1:
```
| |
--+---+---
| 46|
--+---+---
55| | 57
--+---+---
| 66|
```
#### Step 1: Identify the pattern.
- The number 46 is in the top row, middle column.
- The number 55 is in the second row, first column.
- The number 57 is in the second row, third column.
- The number 66 is in the third row, middle column.
#### Step 2: Fill in the missing numbers.
- The number 55 (second row, first column) and 57 (second row, third column) suggest a difference of 2 between consecutive numbers in the same row.
- Therefore, the number in the second row, middle column should be \( 55 + 1 = 56 \).
- The number 46 (top row, middle column) and 56 (second row, middle column) suggest a difference of 10 between consecutive numbers in the same column.
- Therefore, the number in the top row, first column should be \( 55 - 10 = 45 \).
- The number in the top row, third column should be \( 57 - 10 = 47 \).
- The number in the third row, first column should be \( 66 - 10 = 56 \).
- The number in the third row, third column should be \( 66 + 1 = 67 \).
#### Final Grid 1:
```
45| 46| 47
--+---+---
55| 56| 57
--+---+---
56| 66| 67
```
Grid 2:
```
| 99|
--+---+---
108| |110
--+---+---
|119|
```
#### Step 1: Identify the pattern.
- The number 99 is in the top row, middle column.
- The number 108 is in the second row, first column.
- The number 110 is in the second row, third column.
- The number 119 is in the third row, middle column.
#### Step 2: Fill in the missing numbers.
- The number 108 (second row, first column) and 110 (second row, third column) suggest a difference of 2 between consecutive numbers in the same row.
- Therefore, the number in the second row, middle column should be \( 108 + 1 = 109 \).
- The number 99 (top row, middle column) and 109 (second row, middle column) suggest a difference of 10 between consecutive numbers in the same column.
- Therefore, the number in the top row, first column should be \( 108 - 10 = 98 \).
- The number in the top row, third column should be \( 110 - 10 = 100 \).
- The number in the third row, first column should be \( 119 - 10 = 109 \).
- The number in the third row, third column should be \( 119 + 1 = 120 \).
#### Final Grid 2:
```
98| 99|100
--+---+---
108|109|110
--+---+---
109|119|120
```
Grid 3:
```
91| |
--+---+---
| |103
--+---+---
|112|
```
#### Step 1: Identify the pattern.
- The number 91 is in the top row, first column.
- The number 103 is in the second row, third column.
- The number 112 is in the third row, second column.
#### Step 2: Fill in the missing numbers.
- The number 91 (top row, first column) and 103 (second row, third column) suggest a difference of 12 between consecutive numbers in the same column.
- Therefore, the number in the second row, first column should be \( 91 + 10 = 101 \).
- The number in the third row, first column should be \( 101 + 10 = 111 \).
- The number in the top row, second column should be \( 91 + 1 = 92 \).
- The number in the top row, third column should be \( 92 + 1 = 93 \).
- The number in the second row, second column should be \( 101 + 1 = 102 \).
- The number in the third row, third column should be \( 112 + 1 = 113 \).
#### Final Grid 3:
```
91| 92| 93
--+---+---
101|102|103
--+---+---
111|112|113
```
Grid 4:
```
93| |
--+---+---
|104|
--+---+---
| |115
```
#### Step 1: Identify the pattern.
- The number 93 is in the top row, first column.
- The number 104 is in the second row, second column.
- The number 115 is in the third row, third column.
#### Step 2: Fill in the missing numbers.
- The number 93 (top row, first column) and 104 (second row, second column) suggest a difference of 11 between consecutive numbers in the same column.
- Therefore, the number in the second row, first column should be \( 93 + 10 = 103 \).
- The number in the third row, first column should be \( 103 + 10 = 113 \).
- The number in the top row, second column should be \( 93 + 1 = 94 \).
- The number in the top row, third column should be \( 94 + 1 = 95 \).
- The number in the second row, third column should be \( 104 + 1 = 105 \).
- The number in the third row, second column should be \( 115 - 1 = 114 \).
#### Final Grid 4:
```
93| 94| 95
--+---+---
103|104|105
--+---+---
113|114|115
```
Final Answer:
```
Grid 1:
45| 46| 47
--+---+---
55| 56| 57
--+---+---
56| 66| 67
Grid 2:
98| 99|100
--+---+---
108|109|110
--+---+---
109|119|120
Grid 3:
91| 92| 93
--+---+---
101|102|103
--+---+---
111|112|113
Grid 4:
93| 94| 95
--+---+---
103|104|105
--+---+---
113|114|115
```
\boxed{
\begin{array}{|c|c|c|}
\hline
45 & 46 & 47 \\
\hline
55 & 56 & 57 \\
\hline
56 & 66 & 67 \\
\hline
\end{array}
\quad
\begin{array}{|c|c|c|}
\hline
98 & 99 & 100 \\
\hline
108 & 109 & 110 \\
\hline
109 & 119 & 120 \\
\hline
\end{array}
\quad
\begin{array}{|c|c|c|}
\hline
91 & 92 & 93 \\
\hline
101 & 102 & 103 \\
\hline
111 & 112 & 113 \\
\hline
\end{array}
\quad
\begin{array}{|c|c|c|}
\hline
93 & 94 & 95 \\
\hline
103 & 104 & 105 \\
\hline
113 & 114 & 115 \\
\hline
\end{array}
}
Parent Tip: Review the logic above to help your child master the concept of math puzzles worksheet.