Odd and Even Numbers Worksheet - Free Printable

Problem Description:

The task is to shade all the odd numbers in the given grid and determine the route the mouse takes to get to the cheese. The grid contains numbers from 1 to 100, and the mouse starts at the bottom-left corner (indicated by a mouse icon) and moves through the shaded odd numbers to reach the cheese at the top-right corner.

Solution Approach:

1. Identify Odd Numbers: A number is odd if it is not divisible by 2. We will check each number in the grid and shade it if it is odd.
2. Trace the Route: After shading all the odd numbers, we will trace a path from the mouse (bottom-left corner) to the cheese (top-right corner) using only the shaded odd numbers. The path should move horizontally or vertically (no diagonal movements).

Step-by-Step Solution:

#### Step 1: Identify and Shade Odd Numbers
We will go through each number in the grid and determine if it is odd. An odd number has a remainder of 1 when divided by 2.

Here is the grid with odd numbers shaded:

```
81 39 53 21 77 50 65 | Cheese
43 44 62 98 25 20 51 14
29 75 17 82 41 68 33 65
18 40 51 78 67 36 24 29
11 17 45 10 39 61 46 83
35 54 6 38 72 21 40 77
93 27 0 61 43 15 26 9
18 61 74 95 16 94 42 73
65 13 36 15 37 62 45 91
Mouse | 12 56 94 13 87 23 28
```

Shaded odd numbers:
- Row 1: 81, 39, 53, 21, 77, 65
- Row 2: 43, 25, 51
- Row 3: 29, 75, 17, 41, 33, 65
- Row 4: 51, 67, 29
- Row 5: 11, 17, 45, 39, 61, 83
- Row 6: 35, 21, 77
- Row 7: 93, 27, 61, 43, 15, 9
- Row 8: 61, 95, 73
- Row 9: 65, 13, 15, 37, 91
- Row 10: 13

#### Step 2: Trace the Route
Starting from the mouse at the bottom-left corner (13), we need to move through the shaded odd numbers to reach the cheese at the top-right corner (65). The path can only move horizontally or vertically.

Possible route:
1. Start at 13 (bottom row).
2. Move up to 37.
3. Move up to 61.
4. Move up to 95.
5. Move left to 73.
6. Move up to 83.
7. Move left to 65 (cheese).

#### Final Route:
The shaded path from the mouse to the cheese is:
```
13 → 37 → 61 → 95 → 73 → 83 → 65
```

Final Answer:

The route the mouse takes to get the cheese is:
\[
\boxed{13 \rightarrow 37 \rightarrow 61 \rightarrow 95 \rightarrow 73 \rightarrow 83 \rightarrow 65}
\]