Number Grid Puzzles worksheet for kids with nine fill-in-the-blank puzzles to practice number sequencing.
Number Grid Puzzles worksheet with nine numbered grid puzzles for children to solve, featuring numbers like 6, 16, 25, 2, 21, 10, 29, 44, 68, 89, 74, 29, 36, 87.
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Show Answer Key & Explanations
Step-by-step solution for: Number Grid Puzzles - Free Worksheets - Free4Classrooms
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Show Answer Key & Explanations
Step-by-step solution for: Number Grid Puzzles - Free Worksheets - Free4Classrooms
To solve the Number Grid Puzzles, we need to determine the missing numbers in each grid based on the given numbers and the relationships between them. Let's solve each puzzle step by step.
---
```
? 6 ?
? ? ?
25 ? ?
```
#### Step-by-Step Solution:
1. The bottom-left number is 25.
2. The top-middle number is 6.
3. Assume the grid follows a simple arithmetic pattern (e.g., addition or subtraction).
Let's try to fill in the grid:
- If we assume the grid increases by a constant value horizontally and vertically:
- Top row: `? + 6 + ?`
- Middle row: `? + ? + ?`
- Bottom row: `25 + ? + ?`
By trial and error or logical deduction:
- If the grid increases by 5 in each direction:
- Top row: `1 + 6 + 11`
- Middle row: `6 + 11 + 16`
- Bottom row: `11 + 16 + 21`
Thus, the completed grid is:
```
1 6 11
6 11 16
11 16 21
```
Answer for Puzzle 1:
```
1 6 11
6 11 16
11 16 21
```
---
```
? 2 ?
? ? ?
21 ? ?
```
#### Step-by-Step Solution:
1. The bottom-left number is 21.
2. The top-middle number is 2.
3. Assume the grid follows a simple arithmetic pattern.
Let's try to fill in the grid:
- If we assume the grid increases by a constant value horizontally and vertically:
- Top row: `? + 2 + ?`
- Middle row: `? + ? + ?`
- Bottom row: `21 + ? + ?`
By trial and error or logical deduction:
- If the grid increases by 7 in each direction:
- Top row: `14 + 2 + 9`
- Middle row: `21 + 7 + 12`
- Bottom row: `28 + 14 + 15`
Thus, the completed grid is:
```
14 2 9
21 7 12
28 14 15
```
Answer for Puzzle 2:
```
14 2 9
21 7 12
28 14 15
```
---
```
? 10 ?
? ? ?
29 ? ?
```
#### Step-by-Step Solution:
1. The bottom-middle number is 29.
2. The top-middle number is 10.
3. Assume the grid follows a simple arithmetic pattern.
Let's try to fill in the grid:
- If we assume the grid increases by a constant value horizontally and vertically:
- Top row: `? + 10 + ?`
- Middle row: `? + ? + ?`
- Bottom row: `? + 29 + ?`
By trial and error or logical deduction:
- If the grid increases by 9 in each direction:
- Top row: `1 + 10 + 19`
- Middle row: `10 + 19 + 28`
- Bottom row: `19 + 29 + 39`
Thus, the completed grid is:
```
1 10 19
10 19 28
19 29 39
```
Answer for Puzzle 3:
```
1 10 19
10 19 28
19 29 39
```
---
```
? 25 ?
? ? ?
44 ? ?
```
#### Step-by-Step Solution:
1. The bottom-left number is 44.
2. The top-middle number is 25.
3. Assume the grid follows a simple arithmetic pattern.
Let's try to fill in the grid:
- If we assume the grid increases by a constant value horizontally and vertically:
- Top row: `? + 25 + ?`
- Middle row: `? + ? + ?`
- Bottom row: `44 + ? + ?`
By trial and error or logical deduction:
- If the grid increases by 9 in each direction:
- Top row: `16 + 25 + 34`
- Middle row: `25 + 34 + 43`
- Bottom row: `34 + 43 + 52`
Thus, the completed grid is:
```
16 25 34
25 34 43
34 43 52
```
Answer for Puzzle 4:
```
16 25 34
25 34 43
34 43 52
```
---
```
? ? ?
? 68 ?
? 89 ?
```
#### Step-by-Step Solution:
1. The middle-middle number is 68.
2. The bottom-middle number is 89.
3. Assume the grid follows a simple arithmetic pattern.
Let's try to fill in the grid:
- If we assume the grid increases by a constant value horizontally and vertically:
- Top row: `? + ? + ?`
- Middle row: `? + 68 + ?`
- Bottom row: `? + 89 + ?`
By trial and error or logical deduction:
- If the grid increases by 21 in each direction:
- Top row: `27 + 48 + 69`
- Middle row: `48 + 68 + 88`
- Bottom row: `69 + 89 + 109`
Thus, the completed grid is:
```
27 48 69
48 68 88
69 89 109
```
Answer for Puzzle 5:
```
27 48 69
48 68 88
69 89 109
```
---
```
? ? ?
? ? 36
? ? ?
```
#### Step-by-Step Solution:
1. The middle-right number is 36.
2. Assume the grid follows a simple arithmetic pattern.
Let's try to fill in the grid:
- If we assume the grid increases by a constant value horizontally and vertically:
- Top row: `? + ? + ?`
- Middle row: `? + ? + 36`
- Bottom row: `? + ? + ?`
By trial and error or logical deduction:
- If the grid increases by 6 in each direction:
- Top row: `6 + 12 + 18`
- Middle row: `12 + 18 + 36`
- Bottom row: `18 + 36 + 54`
Thus, the completed grid is:
```
6 12 18
12 18 36
18 36 54
```
Answer for Puzzle 6:
```
6 12 18
12 18 36
18 36 54
```
---
```
? ? ?
? ? ?
74 ? ?
```
#### Step-by-Step Solution:
1. The bottom-left number is 74.
2. Assume the grid follows a simple arithmetic pattern.
Let's try to fill in the grid:
- If we assume the grid increases by a constant value horizontally and vertically:
- Top row: `? + ? + ?`
- Middle row: `? + ? + ?`
- Bottom row: `74 + ? + ?`
By trial and error or logical deduction:
- If the grid increases by 10 in each direction:
- Top row: `44 + 54 + 64`
- Middle row: `54 + 64 + 74`
- Bottom row: `64 + 74 + 84`
Thus, the completed grid is:
```
44 54 64
54 64 74
64 74 84
```
Answer for Puzzle 7:
```
44 54 64
54 64 74
64 74 84
```
---
```
? 29 ?
? ? ?
? ? ?
```
#### Step-by-Step Solution:
1. The top-middle number is 29.
2. Assume the grid follows a simple arithmetic pattern.
Let's try to fill in the grid:
- If we assume the grid increases by a constant value horizontally and vertically:
- Top row: `? + 29 + ?`
- Middle row: `? + ? + ?`
- Bottom row: `? + ? + ?`
By trial and error or logical deduction:
- If the grid increases by 10 in each direction:
- Top row: `19 + 29 + 39`
- Middle row: `29 + 39 + 49`
- Bottom row: `39 + 49 + 59`
Thus, the completed grid is:
```
19 29 39
29 39 49
39 49 59
```
Answer for Puzzle 8:
```
19 29 39
29 39 49
39 49 59
```
---
```
? ? ?
? ? ?
? ? 87
```
#### Step-by-Step Solution:
1. The bottom-right number is 87.
2. Assume the grid follows a simple arithmetic pattern.
Let's try to fill in the grid:
- If we assume the grid increases by a constant value horizontally and vertically:
- Top row: `? + ? + ?`
- Middle row: `? + ? + ?`
- Bottom row: `? + ? + 87`
By trial and error or logical deduction:
- If the grid increases by 12 in each direction:
- Top row: `45 + 57 + 69`
- Middle row: `57 + 69 + 81`
- Bottom row: `69 + 81 + 87`
Thus, the completed grid is:
```
45 57 69
57 69 81
69 81 87
```
Answer for Puzzle 9:
```
45 57 69
57 69 81
69 81 87
```
---
1.
```
1 6 11
6 11 16
11 16 21
```
2.
```
14 2 9
21 7 12
28 14 15
```
3.
```
1 10 19
10 19 28
19 29 39
```
4.
```
16 25 34
25 34 43
34 43 52
```
5.
```
27 48 69
48 68 88
69 89 109
```
6.
```
6 12 18
12 18 36
18 36 54
```
7.
```
44 54 64
54 64 74
64 74 84
```
8.
```
19 29 39
29 39 49
39 49 59
```
9.
```
45 57 69
57 69 81
69 81 87
```
Boxed Final Answer:
\boxed{
\begin{array}{ccc}
1 & 6 & 11 \\
6 & 11 & 16 \\
11 & 16 & 21 \\
\end{array}
\quad
\begin{array}{ccc}
14 & 2 & 9 \\
21 & 7 & 12 \\
28 & 14 & 15 \\
\end{array}
\quad
\begin{array}{ccc}
1 & 10 & 19 \\
10 & 19 & 28 \\
19 & 29 & 39 \\
\end{array}
\quad
\begin{array}{ccc}
16 & 25 & 34 \\
25 & 34 & 43 \\
34 & 43 & 52 \\
\end{array}
\quad
\begin{array}{ccc}
27 & 48 & 69 \\
48 & 68 & 88 \\
69 & 89 & 109 \\
\end{array}
\quad
\begin{array}{ccc}
6 & 12 & 18 \\
12 & 18 & 36 \\
18 & 36 & 54 \\
\end{array}
\quad
\begin{array}{ccc}
44 & 54 & 64 \\
54 & 64 & 74 \\
64 & 74 & 84 \\
\end{array}
\quad
\begin{array}{ccc}
19 & 29 & 39 \\
29 & 39 & 49 \\
39 & 49 & 59 \\
\end{array}
\quad
\begin{array}{ccc}
45 & 57 & 69 \\
57 & 69 & 81 \\
69 & 81 & 87 \\
\end{array}
}
---
Puzzle 1:
```
? 6 ?
? ? ?
25 ? ?
```
#### Step-by-Step Solution:
1. The bottom-left number is 25.
2. The top-middle number is 6.
3. Assume the grid follows a simple arithmetic pattern (e.g., addition or subtraction).
Let's try to fill in the grid:
- If we assume the grid increases by a constant value horizontally and vertically:
- Top row: `? + 6 + ?`
- Middle row: `? + ? + ?`
- Bottom row: `25 + ? + ?`
By trial and error or logical deduction:
- If the grid increases by 5 in each direction:
- Top row: `1 + 6 + 11`
- Middle row: `6 + 11 + 16`
- Bottom row: `11 + 16 + 21`
Thus, the completed grid is:
```
1 6 11
6 11 16
11 16 21
```
Answer for Puzzle 1:
```
1 6 11
6 11 16
11 16 21
```
---
Puzzle 2:
```
? 2 ?
? ? ?
21 ? ?
```
#### Step-by-Step Solution:
1. The bottom-left number is 21.
2. The top-middle number is 2.
3. Assume the grid follows a simple arithmetic pattern.
Let's try to fill in the grid:
- If we assume the grid increases by a constant value horizontally and vertically:
- Top row: `? + 2 + ?`
- Middle row: `? + ? + ?`
- Bottom row: `21 + ? + ?`
By trial and error or logical deduction:
- If the grid increases by 7 in each direction:
- Top row: `14 + 2 + 9`
- Middle row: `21 + 7 + 12`
- Bottom row: `28 + 14 + 15`
Thus, the completed grid is:
```
14 2 9
21 7 12
28 14 15
```
Answer for Puzzle 2:
```
14 2 9
21 7 12
28 14 15
```
---
Puzzle 3:
```
? 10 ?
? ? ?
29 ? ?
```
#### Step-by-Step Solution:
1. The bottom-middle number is 29.
2. The top-middle number is 10.
3. Assume the grid follows a simple arithmetic pattern.
Let's try to fill in the grid:
- If we assume the grid increases by a constant value horizontally and vertically:
- Top row: `? + 10 + ?`
- Middle row: `? + ? + ?`
- Bottom row: `? + 29 + ?`
By trial and error or logical deduction:
- If the grid increases by 9 in each direction:
- Top row: `1 + 10 + 19`
- Middle row: `10 + 19 + 28`
- Bottom row: `19 + 29 + 39`
Thus, the completed grid is:
```
1 10 19
10 19 28
19 29 39
```
Answer for Puzzle 3:
```
1 10 19
10 19 28
19 29 39
```
---
Puzzle 4:
```
? 25 ?
? ? ?
44 ? ?
```
#### Step-by-Step Solution:
1. The bottom-left number is 44.
2. The top-middle number is 25.
3. Assume the grid follows a simple arithmetic pattern.
Let's try to fill in the grid:
- If we assume the grid increases by a constant value horizontally and vertically:
- Top row: `? + 25 + ?`
- Middle row: `? + ? + ?`
- Bottom row: `44 + ? + ?`
By trial and error or logical deduction:
- If the grid increases by 9 in each direction:
- Top row: `16 + 25 + 34`
- Middle row: `25 + 34 + 43`
- Bottom row: `34 + 43 + 52`
Thus, the completed grid is:
```
16 25 34
25 34 43
34 43 52
```
Answer for Puzzle 4:
```
16 25 34
25 34 43
34 43 52
```
---
Puzzle 5:
```
? ? ?
? 68 ?
? 89 ?
```
#### Step-by-Step Solution:
1. The middle-middle number is 68.
2. The bottom-middle number is 89.
3. Assume the grid follows a simple arithmetic pattern.
Let's try to fill in the grid:
- If we assume the grid increases by a constant value horizontally and vertically:
- Top row: `? + ? + ?`
- Middle row: `? + 68 + ?`
- Bottom row: `? + 89 + ?`
By trial and error or logical deduction:
- If the grid increases by 21 in each direction:
- Top row: `27 + 48 + 69`
- Middle row: `48 + 68 + 88`
- Bottom row: `69 + 89 + 109`
Thus, the completed grid is:
```
27 48 69
48 68 88
69 89 109
```
Answer for Puzzle 5:
```
27 48 69
48 68 88
69 89 109
```
---
Puzzle 6:
```
? ? ?
? ? 36
? ? ?
```
#### Step-by-Step Solution:
1. The middle-right number is 36.
2. Assume the grid follows a simple arithmetic pattern.
Let's try to fill in the grid:
- If we assume the grid increases by a constant value horizontally and vertically:
- Top row: `? + ? + ?`
- Middle row: `? + ? + 36`
- Bottom row: `? + ? + ?`
By trial and error or logical deduction:
- If the grid increases by 6 in each direction:
- Top row: `6 + 12 + 18`
- Middle row: `12 + 18 + 36`
- Bottom row: `18 + 36 + 54`
Thus, the completed grid is:
```
6 12 18
12 18 36
18 36 54
```
Answer for Puzzle 6:
```
6 12 18
12 18 36
18 36 54
```
---
Puzzle 7:
```
? ? ?
? ? ?
74 ? ?
```
#### Step-by-Step Solution:
1. The bottom-left number is 74.
2. Assume the grid follows a simple arithmetic pattern.
Let's try to fill in the grid:
- If we assume the grid increases by a constant value horizontally and vertically:
- Top row: `? + ? + ?`
- Middle row: `? + ? + ?`
- Bottom row: `74 + ? + ?`
By trial and error or logical deduction:
- If the grid increases by 10 in each direction:
- Top row: `44 + 54 + 64`
- Middle row: `54 + 64 + 74`
- Bottom row: `64 + 74 + 84`
Thus, the completed grid is:
```
44 54 64
54 64 74
64 74 84
```
Answer for Puzzle 7:
```
44 54 64
54 64 74
64 74 84
```
---
Puzzle 8:
```
? 29 ?
? ? ?
? ? ?
```
#### Step-by-Step Solution:
1. The top-middle number is 29.
2. Assume the grid follows a simple arithmetic pattern.
Let's try to fill in the grid:
- If we assume the grid increases by a constant value horizontally and vertically:
- Top row: `? + 29 + ?`
- Middle row: `? + ? + ?`
- Bottom row: `? + ? + ?`
By trial and error or logical deduction:
- If the grid increases by 10 in each direction:
- Top row: `19 + 29 + 39`
- Middle row: `29 + 39 + 49`
- Bottom row: `39 + 49 + 59`
Thus, the completed grid is:
```
19 29 39
29 39 49
39 49 59
```
Answer for Puzzle 8:
```
19 29 39
29 39 49
39 49 59
```
---
Puzzle 9:
```
? ? ?
? ? ?
? ? 87
```
#### Step-by-Step Solution:
1. The bottom-right number is 87.
2. Assume the grid follows a simple arithmetic pattern.
Let's try to fill in the grid:
- If we assume the grid increases by a constant value horizontally and vertically:
- Top row: `? + ? + ?`
- Middle row: `? + ? + ?`
- Bottom row: `? + ? + 87`
By trial and error or logical deduction:
- If the grid increases by 12 in each direction:
- Top row: `45 + 57 + 69`
- Middle row: `57 + 69 + 81`
- Bottom row: `69 + 81 + 87`
Thus, the completed grid is:
```
45 57 69
57 69 81
69 81 87
```
Answer for Puzzle 9:
```
45 57 69
57 69 81
69 81 87
```
---
Final Answers:
1.
```
1 6 11
6 11 16
11 16 21
```
2.
```
14 2 9
21 7 12
28 14 15
```
3.
```
1 10 19
10 19 28
19 29 39
```
4.
```
16 25 34
25 34 43
34 43 52
```
5.
```
27 48 69
48 68 88
69 89 109
```
6.
```
6 12 18
12 18 36
18 36 54
```
7.
```
44 54 64
54 64 74
64 74 84
```
8.
```
19 29 39
29 39 49
39 49 59
```
9.
```
45 57 69
57 69 81
69 81 87
```
Boxed Final Answer:
\boxed{
\begin{array}{ccc}
1 & 6 & 11 \\
6 & 11 & 16 \\
11 & 16 & 21 \\
\end{array}
\quad
\begin{array}{ccc}
14 & 2 & 9 \\
21 & 7 & 12 \\
28 & 14 & 15 \\
\end{array}
\quad
\begin{array}{ccc}
1 & 10 & 19 \\
10 & 19 & 28 \\
19 & 29 & 39 \\
\end{array}
\quad
\begin{array}{ccc}
16 & 25 & 34 \\
25 & 34 & 43 \\
34 & 43 & 52 \\
\end{array}
\quad
\begin{array}{ccc}
27 & 48 & 69 \\
48 & 68 & 88 \\
69 & 89 & 109 \\
\end{array}
\quad
\begin{array}{ccc}
6 & 12 & 18 \\
12 & 18 & 36 \\
18 & 36 & 54 \\
\end{array}
\quad
\begin{array}{ccc}
44 & 54 & 64 \\
54 & 64 & 74 \\
64 & 74 & 84 \\
\end{array}
\quad
\begin{array}{ccc}
19 & 29 & 39 \\
29 & 39 & 49 \\
39 & 49 & 59 \\
\end{array}
\quad
\begin{array}{ccc}
45 & 57 & 69 \\
57 & 69 & 81 \\
69 & 81 & 87 \\
\end{array}
}
Parent Tip: Review the logic above to help your child master the concept of number grid puzzles worksheet.