"Even and Odd Numbers to 100 Sheet 5: Shade odd numbers to guide the mouse to the cheese."

To find the route the mouse takes to get the cheese, we need to shade all the odd numbers. Odd numbers are numbers that cannot be divided evenly by 2. They always end in 1, 3, 5, 7, or 9.

Let's go through the grid row by row and identify the odd numbers to trace the path.

Row 1:
- 81 (Odd) - Start here? No, the mouse is at the bottom left. But let's look for connected odd numbers.
- 39 (Odd)
- 53 (Odd)
- 21 (Odd)
- 77 (Odd)
- 50 (Even)
- 65 (Odd) -> Next to the cheese!

Row 2:
- 43 (Odd)
- 44 (Even)
- 62 (Even)
- 98 (Even)
- 25 (Odd)
- 20 (Even)
- 51 (Odd)
- 14 (Even)

Row 3:
- 29 (Odd)
- 75 (Odd)
- 17 (Odd)
- 82 (Even)
- 41 (Odd)
- 68 (Even)
- 33 (Odd)
- 65 (Odd)

Row 4:
- 18 (Even)
- 40 (Even)
- 51 (Odd)
- 78 (Even)
- 67 (Odd)
- 36 (Even)
- 24 (Even)
- 29 (Odd)

Row 5:
- 11 (Odd)
- 17 (Odd)
- 45 (Odd)
- 10 (Even)
- 39 (Odd)
- 61 (Odd)
- 46 (Even)
- 83 (Odd)

Row 6:
- 35 (Odd)
- 54 (Even)
- 6 (Even)
- 38 (Even)
- 72 (Even)
- 21 (Odd)
- 40 (Even)
- 77 (Odd)

Row 7:
- 93 (Odd)
- 27 (Odd)
- 0 (Even)
- 61 (Odd)
- 43 (Odd)
- 15 (Odd)
- 26 (Even)
- 9 (Odd)

Row 8:
- 18 (Even)
- 61 (Odd)
- 74 (Even)
- 95 (Odd)
- 16 (Even)
- 94 (Even)
- 42 (Even)
- 73 (Odd)

Row 9:
- 65 (Odd)
- 13 (Odd)
- 36 (Even)
- 15 (Odd)
- 37 (Odd)
- 62 (Even)
- 45 (Odd)
- 91 (Odd)

Row 10 (Bottom Row):
- The mouse starts in the first square. The number inside isn't visible, but it's the starting point. Let's assume the path starts from an adjacent odd number.
- 12 (Even)
- 56 (Even)
- 94 (Even)
- 13 (Odd)
- 87 (Odd)
- 23 (Odd)
- 28 (Even)

Now, let's trace the continuous path of odd numbers from the mouse (bottom left) to the cheese (top right).

1. Start at the Mouse. The square above the mouse contains 65. This is odd. So, move Up.
2. From 65, we can go Right to 13 or Up to 18 (even, stop). So, move Right to 13.
3. From 13, we can go Right to 36 (even, stop), Up to 61, or Left/Down (backwards/out of bounds). So, move Up to 61.
4. From 61 (Row 8, Col 2), we can go Up to 17 (Row 5? No, Row 5 Col 2 is 17. Wait, let's re-check coordinates).

Let's use coordinates (Row, Column) starting from top-left as (1,1).
Mouse is at (10, 1). Cheese is at (1, 8).

Path tracing:
- Start at Mouse (10,1). The cell above is (9,1) which is 65 (Odd). Move Up.
- Current: (9,1) = 65. Neighbors: (8,1)=18(Even), (9,2)=13(Odd), (10,1)=Mouse. Move Right to (9,2).
- Current: (9,2) = 13. Neighbors: (8,2)=61(Odd), (9,1)=65, (9,3)=36(Even), (10,2)=12(Even). Move Up to (8,2).
- Current: (8,2) = 61. Neighbors: (7,2)=27(Odd), (8,1)=18(Even), (8,3)=74(Even), (9,2)=13. Move Up to (7,2).
- Current: (7,2) = 27. Neighbors: (6,2)=54(Even), (7,1)=93(Odd), (7,3)=0(Even), (8,2)=61. Move Left to (7,1).
*Wait, if I go to 93, where does it lead? (6,1)=35(Odd), (7,2)=27, (8,1)=18(Even). If I go Up to 35... (6,1)=35. Neighbors: (5,1)=11(Odd), (6,2)=54(Even), (7,1)=93. Move Up to (5,1).*
- Current: (5,1) = 11. Neighbors: (4,1)=18(Even), (5,2)=17(Odd), (6,1)=35. Move Right to (5,2).
- Current: (5,2) = 17. Neighbors: (4,2)=40(Even), (5,1)=11, (5,3)=45(Odd), (6,2)=54(Even). Move Right to (5,3).
- Current: (5,3) = 45. Neighbors: (4,3)=51(Odd), (5,2)=17, (5,4)=10(Even), (6,3)=6(Even). Move Up to (4,3).
- Current: (4,3) = 51. Neighbors: (3,3)=17(Odd), (4,2)=40(Even), (4,4)=78(Even), (5,3)=45. Move Up to (3,3).
- Current: (3,3) = 17. Neighbors: (2,3)=62(Even), (3,2)=75(Odd), (3,4)=82(Even), (4,3)=51. Move Left to (3,2).
- Current: (3,2) = 75. Neighbors: (2,2)=44(Even), (3,1)=29(Odd), (3,3)=17, (4,2)=40(Even). Move Left to (3,1).
- Current: (3,1) = 29. Neighbors: (2,1)=43(Odd), (3,2)=75, (4,1)=18(Even). Move Up to (2,1).
- Current: (2,1) = 43. Neighbors: (1,1)=81(Odd), (2,2)=44(Even), (3,1)=29. Move Up to (1,1).
- Current: (1,1) = 81. Neighbors: (1,2)=39(Odd), (2,1)=43. Move Right to (1,2).
- Current: (1,2) = 39. Neighbors: (1,1)=81, (1,3)=53(Odd), (2,2)=44(Even). Move Right to (1,3).
- Current: (1,3) = 53. Neighbors: (1,2)=39, (1,4)=21(Odd), (2,3)=62(Even). Move Right to (1,4).
- Current: (1,4) = 21. Neighbors: (1,3)=53, (1,5)=77(Odd), (2,4)=98(Even). Move Right to (1,5).
- Current: (1,5) = 77. Neighbors: (1,4)=21, (1,6)=50(Even), (2,5)=25(Odd).
*Dead end at (1,6). Must go Down to (2,5).*
- Current: (2,5) = 25. Neighbors: (1,5)=77, (2,4)=98(Even), (2,6)=20(Even), (3,5)=41(Odd). Move Down to (3,5).
- Current: (3,5) = 41. Neighbors: (2,5)=25, (3,4)=82(Even), (3,6)=68(Even), (4,5)=67(Odd). Move Down to (4,5).
- Current: (4,5) = 67. Neighbors: (3,5)=41, (4,4)=78(Even), (4,6)=36(Even), (5,5)=39(Odd). Move Down to (5,5).
- Current: (5,5) = 39. Neighbors: (4,5)=67, (5,4)=10(Even), (5,6)=61(Odd), (6,5)=72(Even). Move Right to (5,6).
- Current: (5,6) = 61. Neighbors: (5,5)=39, (4,6)=36(Even), (5,7)=46(Even), (6,6)=21(Odd). Move Down to (6,6).
- Current: (6,6) = 21. Neighbors: (5,6)=61, (6,5)=72(Even), (6,7)=40(Even), (7,6)=15(Odd). Move Down to (7,6).
- Current: (7,6) = 15. Neighbors: (6,6)=21, (7,5)=43(Odd), (7,7)=26(Even), (8,6)=94(Even). Move Left to (7,5).
- Current: (7,5) = 43. Neighbors: (7,6)=15, (6,5)=72(Even), (7,4)=61(Odd), (8,5)=16(Even). Move Left to (7,4).
- Current: (7,4) = 61. Neighbors: (7,5)=43, (6,4)=38(Even), (7,3)=0(Even), (8,4)=95(Odd). Move Down to (8,4).
- Current: (8,4) = 95. Neighbors: (7,4)=61, (8,3)=74(Even), (8,5)=16(Even), (9,4)=15(Odd). Move Down to (9,4).
- Current: (9,4) = 15. Neighbors: (8,4)=95, (9,3)=36(Even), (9,5)=37(Odd), (10,4)=94(Even). Move Right to (9,5).
- Current: (9,5) = 37. Neighbors: (9,4)=15, (8,5)=16(Even), (9,6)=62(Even), (10,5)=13(Odd). Move Down to (10,5).
- Current: (10,5) = 13. Neighbors: (9,5)=37, (10,4)=94(Even), (10,6)=87(Odd). Move Right to (10,6).
- Current: (10,6) = 87. Neighbors: (10,5)=13, (9,6)=62(Even), (10,7)=23(Odd). Move Right to (10,7).
- Current: (10,7) = 23. Neighbors: (10,6)=87, (9,7)=45(Odd), (10,8)=28(Even). Move Up to (9,7).
- Current: (9,7) = 45. Neighbors: (10,7)=23, (9,6)=62(Even), (9,8)=91(Odd), (8,7)=42(Even). Move Right to (9,8).
- Current: (9,8) = 91. Neighbors: (9,7)=45, (8,8)=73(Odd), (10,8)=28(Even). Move Up to (8,8).
- Current: (8,8) = 73. Neighbors: (9,8)=91, (8,7)=42(Even), (7,8)=9(Odd). Move Up to (7,8).
- Current: (7,8) = 9. Neighbors: (8,8)=73, (7,7)=26(Even), (6,8)=77(Odd). Move Up to (6,8).
- Current: (6,8) = 77. Neighbors: (7,8)=9, (6,7)=40(Even), (5,8)=83(Odd). Move Up to (5,8).
- Current: (5,8) = 83. Neighbors: (6,8)=77, (5,7)=46(Even), (4,8)=29(Odd). Move Up to (4,8).
- Current: (4,8) = 29. Neighbors: (5,8)=83, (4,7)=24(Even), (3,8)=65(Odd). Move Up to (3,8).
- Current: (3,8) = 65. Neighbors: (4,8)=29, (3,7)=33(Odd), (2,8)=14(Even). Move Left to (3,7).
- Current: (3,7) = 33. Neighbors: (3,8)=65, (2,7)=51(Odd), (3,6)=68(Even), (4,7)=24(Even). Move Up to (2,7).
- Current: (2,7) = 51. Neighbors: (3,7)=33, (1,7)=65(Odd), (2,6)=20(Even), (2,8)=14(Even). Move Up to (1,7).
- Current: (1,7) = 65. Neighbors: (2,7)=51, (1,6)=50(Even), (1,8)=Cheese. Move Right to Cheese!

The path is valid. Here is the sequence of odd numbers shaded to form the route:

Route:
65 → 13 → 61 → 27 → 93 → 35 → 11 → 17 → 45 → 51 → 17 → 75 → 29 → 43 → 81 → 39 → 53 → 21 → 77 → 25 → 41 → 67 → 39 → 61 → 21 → 15 → 43 → 61 → 95 → 15 → 37 → 13 → 87 → 23 → 45 → 91 → 73 → 9 → 77 → 83 → 29 → 65 → 33 → 51 → 65 → Cheese

Final Answer:
The route consists of shading the following odd numbers in order:
65, 13, 61, 27, 93, 35, 11, 17, 45, 51, 17, 75, 29, 43, 81, 39, 53, 21, 77, 25, 41, 67, 39, 61, 21, 15, 43, 61, 95, 15, 37, 13, 87, 23, 45, 91, 73, 9, 77, 83, 29, 65, 33, 51, 65