Let’s solve each 3x3 grid one by one. These grids are parts of a 120 board — that means numbers go in order from left to right, top to bottom, like this:
Row 1: ... 45, 46, 47
Row 2: ... 55, 56, 57
Row 3: ... 65, 66, 67
So if you know one number, you can find the others by adding or subtracting 1 (for left/right) or 10 (for up/down).
---
First Grid (top left):
We have:
- Top middle: 46 → so top row is 45, 46, 47
- Middle row: 55, ?, 57 → since 55 and 57 are there, middle must be 56
- Bottom middle: 66 → so bottom row is 65, 66, 67
Filled grid:
```
45 46 47
55 56 57
65 66 67
```
---
Second Grid (top right):
We have:
- Top middle: 99 → top row: 98, 99, 100
- Middle row: 108, ?, 110 → middle must be 109
- Bottom middle: 119 → bottom row: 118, 119, 120
Filled grid:
```
98 99 100
108 109 110
118 119 120
```
---
Third Grid (bottom left):
We have:
- Top left: 91 → top row: 91, 92, 93
- Middle right: 103 → so middle row ends with 103 → middle row: 101, 102, 103
- Bottom middle: 112 → bottom row: 111, 112, 113
Wait — let’s check alignment.
If top left is 91, then:
Row 1: 91, 92, 93
Row 2: 101, 102, 103 ← yes, because 91 + 10 = 101
Row 3: 111, 112, 113 ← 101 + 10 = 111
Perfect.
Filled grid:
```
91 92 93
101 102 103
111 112 113
```
---
Fourth Grid (bottom right):
We have:
- Top left: 93 → top row: 93, 94, 95
- Middle middle: 104 → so middle row: 103, 104, 105
- Bottom right: 115 → bottom row: 113, 114, 115
Check:
Top row: 93, 94, 95
Middle row: 93+10=103, 104, 105 → correct
Bottom row: 103+10=113, 114, 115 → correct
Filled grid:
```
93 94 95
103 104 105
113 114 115
```
---
All grids are now filled correctly based on the 120 board pattern.
Final Answer:
First grid:
45 46 47
55 56 57
65 66 67
Second grid:
98 99 100
108 109 110
118 119 120
Third grid:
91 92 93
101 102 103
111 112 113
Fourth grid:
93 94 95
103 104 105
113 114 115
Parent Tip: Review the logic above to help your child master the concept of math games worksheets.