Solve multiplication equations and color areas with odd products to reveal a hidden image.

Let’s solve this step by step.

We need to multiply the two numbers in each section and check if the answer (product) is an odd number. If it is, we color or shade that section.

Remember:
→ An odd number times an even number = even
→ An even number times an even number = even
→ Only odd × odd = odd

So we only care about sections where both numbers are odd.

Let’s go through each section one by one:

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Top row (left to right):

1. 8 x 2 → 16 → even → skip
2. 7 x 4 → 28 → even → skip
3. 6 x 4 → 24 → even → skip
4. 6 x 5 → 30 → even → skip
5. 8 x 12 → 96 → even → skip
6. 8 x 8 → 64 → even → skip

Next row down:

7. 7 x 6 → 42 → even → skip
8. 7 x 7 → 49 → ODD! → SHADE THIS ONE ✔
9. 7 x 2 → 14 → even → skip
10. 8 x 5 → 40 → even → skip

Next:

11. 6 x 2 → 12 → even → skip
12. 7 x 9 → 63 → ODD! → SHADE THIS ONE ✔
13. 7 x 7 → 49 → ODD! → SHADE THIS ONE ✔
14. 6 x 6 → 36 → even → skip
15. 5 x 5 → 25 → ODD! → SHADE THIS ONE ✔

Middle area:

16. 8 x 4 → 32 → even → skip
17. 5 x 9 → 45 → ODD! → SHADE THIS ONE ✔
18. 8 x 7 → 56 → even → skip
19. 7 x 5 → 35 → ODD! → SHADE THIS ONE ✔

Lower middle:

20. 6 x 3 → 18 → even → skip
21. 8 x 9 → 72 → even → skip
22. 7 x 3 → 21 → ODD! → SHADE THIS ONE ✔
23. 6 x 10 → 60 → even → skip
24. 6 x 12 → 72 → even → skip
25. 7 x 11 → 77 → ODD! → SHADE THIS ONE ✔
26. 5 x 11 → 55 → ODD! → SHADE THIS ONE ✔

Bottom left:

27. 6 x 11 → 66 → even → skip
28. 6 x 9 → 54 → even → skip
29. 7 x 8 → 56 → even → skip
30. 8 x 3 → 24 → even → skip
31. 6 x 7 → 42 → even → skip
32. 6 x 8 → 48 → even → skip
33. 8 x 11 → 88 → even → skip
34. 8 x 10 → 80 → even → skip
35. 7 x 10 → 70 → even → skip
36. 8 x 6 → 48 → even → skip

Wait — let me double-check some I might have missed.

Actually, let’s list ONLY the ones that are ODD products:

From above:

- 7 x 7 = 49 → odd ✔
- 7 x 9 = 63 → odd ✔
- 7 x 7 = 49 → odd ✔ (another one?) Wait — looking back at image, there are two “7 x 7” sections? Let me recount carefully.

Actually, let’s list all multiplication problems from the image and compute them:

I’ll write them as they appear roughly top to bottom, left to right:

1. 8x2=16 → even
2. 7x4=28 → even
3. 6x4=24 → even
4. 6x5=30 → even
5. 8x12=96 → even
6. 8x8=64 → even
7. 7x6=42 → even
8. 7x7=49 → odd ✔
9. 7x2=14 → even
10. 8x5=40 → even
11. 6x2=12 → even
12. 7x9=63 → odd ✔
13. 7x7=49 → odd ✔ (yes, another one — different section)
14. 6x6=36 → even
15. 5x5=25 → odd ✔
16. 8x4=32 → even
17. 5x9=45 → odd ✔
18. 8x7=56 → even
19. 7x5=35 → odd ✔
20. 6x3=18 → even
21. 8x9=72 → even
22. 7x3=21 → odd ✔
23. 6x10=60 → even
24. 6x12=72 → even
25. 7x11=77 → odd ✔
26. 5x11=55 → odd ✔
27. 6x11=66 → even
28. 6x9=54 → even
29. 7x8=56 → even
30. 8x3=24 → even
31. 6x7=42 → even
32. 6x8=48 → even
33. 8x11=88 → even
34. 8x10=80 → even
35. 7x10=70 → even
36. 8x6=48 → even

Now, let’s count how many odd products we found:

✔ 7x7 = 49
✔ 7x9 = 63
✔ 7x7 = 49 (second one)
✔ 5x5 = 25
✔ 5x9 = 45
✔ 7x5 = 35
✔ 7x3 = 21
✔ 7x11 = 77
✔ 5x11 = 55

That’s 9 sections with odd products.

Wait — let me verify each calculation again to be sure:

- 7×7 = 49 → odd ✔️
- 7×9 = 63 → odd ✔️
- 7×7 = 49 → odd ✔️ (yes, appears twice in image)
- 5×5 = 25 → odd ✔️
- 5×9 = 45 → odd ✔️
- 7×5 = 35 → odd ✔️
- 7×3 = 21 → odd ✔️
- 7×11 = 77 → odd ✔️
- 5×11 = 55 → odd ✔️

All correct.

No others are odd. For example:

- 6x anything → always even (since 6 is even)
- 8x anything → always even
- Even x odd = even
Only odd x odd = odd.

So the sections to shade are those with:

- Both numbers odd

Which are exactly the 9 listed above.

Final Answer:
You should shade the sections with these equations:
7 × 7, 7 × 9, 7 × 7 (again), 5 × 5, 5 × 9, 7 × 5, 7 × 3, 7 × 11, and 5 × 11.
There are 9 sections total to shade.