Math addition coloring activity with a color-by-number design.

To solve this puzzle, we need to calculate the sum for each section and then match that sum to the color code provided at the top.

Color Code:
* 0 to 19: Yellow
* 20 to 39: Brown
* 40 to 59: Green
* 60 to 79: Blue
* 80 to 89: Purple

Let's break down the calculations section by section, starting from the top and moving generally downwards.

Top Section

1. Top Right Corner: $3 + 3 + 3 + 3 = 12$
* Range: 0–19 → Yellow

2. Below Top Right: $20 + 20 + 20 = 60$
* Range: 60–79 → Blue

3. Right Edge (below previous): $35 + 35 = 70$
* Range: 60–79 → Blue

4. Far Right Edge: $30 + 30 = 60$
* Range: 60–79 → Blue

5. Right Edge (below previous): $20 + 20 = 40$
* Range: 40–59 → Green

6. Right Edge (below previous): $33 + 33 = 66$
* Range: 60–79 → Blue

7. Top Center-Right: $26 + 26 + 26 = 78$
* Range: 60–79 → Blue

8. Top Center: $15 + 15 + 15 + 15 = 60$
* Range: 60–79 → Blue

9. Top Left-Center: $18 + 18 + 18 = 54$
* Range: 40–59 → Green

10. Top Left Corner: $16 + 16 + 16 = 48$
* Range: 40–59 → Green

11. Left Edge (below corner): $33 + 33 + 33 = 99$
* *Wait, looking closely at the image text:* It says `33+33+33`. Let me re-read the crop. Ah, the first crop shows `16+16+16` next to `33+33+33`. Let's look at the full image again.
* Actually, let's look at the shape labeled `33+33+33`. Sum = 99. This is outside the ranges (max is 89). Let me re-examine the number. Is it `33+33`? No, it looks like three 33s. Let me check other numbers. Maybe I misread a digit.
* Let's look at the shape below `16+16+16`. It is `45+45`. Sum = 90. Also outside range.
* Let's look at the shape `8+8+8+8`. Sum = 32. Range 20-39 -> Brown.
* Let's look at `4+4+4+4`. Sum = 16. Range 0-19 -> Yellow.
* Let's re-read the top left area carefully.
* Shape: `16+16+16` = 48 (Green)
* Shape: `33+33+33` = 99. This is problematic. Let me look really closely at the original image. The text is vertical. It says `33+33+33`. Is it possible the range is different? No, the legend stops at 89.
* Let me re-read the number. Could it be `3+3+3`? No, clearly two digits.
* Could it be `33+33`? That would be 66 (Blue). But there are three terms.
* Let's look at `45+45`. Sum = 90. Also over 89.
* Let's look at `22+22+22+22`. Sum = 88. Range 80-89 -> Purple. This fits.
* Let's look at `6+6+6`. Sum = 18. Range 0-19 -> Yellow.
* Let's look at `48+48`. Sum = 96. Over 89.
* Let's look at `24+24+24`. Sum = 72. Range 60-79 -> Blue.
* Let's look at `21+21+21`. Sum = 63. Range 60-79 -> Blue.
* Let's look at `39+39`. Sum = 78. Range 60-79 -> Blue.
* Let's look at `38+38`. Sum = 76. Range 60-79 -> Blue.
* Let's look at `21x3` (which means $21 \times 3$ or $21+21+21$). Sum = 63. Range 60-79 -> Blue.
* Let's look at `32+32`. Sum = 64. Range 60-79 -> Blue.
* Let's look at `7+7+7`. Sum = 21. Range 20-39 -> Brown.
* Let's look at `36+36`. Sum = 72. Range 60-79 -> Blue.
* Let's look at `23+23+25`. Sum = 71. Range 60-79 -> Blue.
* Let's look at `6+6+6+6+6`. Sum = 30. Range 20-39 -> Brown.
* Let's look at `10+10+10+10+10`. Sum = 50. Range 40-59 -> Green.
* Let's look at `2+2+2+2+2+2`. Sum = 12. Range 0-19 -> Yellow.
* Let's look at `29+29+29`. Sum = 87. Range 80-89 -> Purple.
* Let's look at `24+24+24+24`. Sum = 96. Over 89.
* Let's look at `8+8`. Sum = 16. Range 0-19 -> Yellow.
* Let's look at `27+27`. Sum = 54. Range 40-59 -> Green.
* Let's look at `4+4+4+4`. Sum = 16. Range 0-19 -> Yellow.
* Let's look at `15x6` ($15 \times 6$). Sum = 90. Over 89.
* Let's look at `27+27+27`. Sum = 81. Range 80-89 -> Purple.
* Let's look at `32+32+32`. Sum = 96. Over 89.
* Let's look at `13+13+13+13+13`. Sum = 65. Range 60-79 -> Blue.
* Let's look at `17+17+17+17`. Sum = 68. Range 60-79 -> Blue.
* Let's look at `39+39`. Sum = 78. Range 60-79 -> Blue.
* Let's look at `6+6+6+6+6`. Sum = 30. Range 20-39 -> Brown.
* Let's look at `24+24+24`. Sum = 72. Range 60-79 -> Blue.
* Let's look at `3+3+3+3+3+3+3+3`. (Eight 3s). Sum = 24. Range 20-39 -> Brown.
* Let's look at `8x3` ($8 \times 3$). Sum = 24. Range 20-39 -> Brown.
* Let's look at `27x2` ($27 \times 2$). Sum = 54. Range 40-59 -> Green.
* Let's look at `23+23+23`. Sum = 69. Range 60-79 -> Blue.
* Let's look at `5+5+5`. Sum = 15. Range 0-19 -> Yellow.
* Let's look at `36+36`. Sum = 72. Range 60-79 -> Blue.
* Let's look at `8+8+8+8+8+8`. Sum = 48. Range 40-59 -> Green.
* Let's look at `19+19+19`. Sum = 57. Range 40-59 -> Green.
* Let's look at `3+3+3+13+13`. Sum = $9 + 26 = 35$. Range 20-39 -> Brown.
* Let's look at `30+30`. Sum = 60. Range 60-79 -> Blue.
* Let's look at `26+25+25`. Sum = 76. Range 60-79 -> Blue.
* Let's look at `36+36`. Sum = 72. Range 60-79 -> Blue.
* Let's look at `32+32`. Sum = 64. Range 60-79 -> Blue.
* Let's look at `7+7+7+7+7`. Sum = 35. Range 20-39 -> Brown.
* Let's look at `3+3+3+3+3+3+3+3`. (Eight 3s). Sum = 24. Range 20-39 -> Brown.
* Let's look at `27+27`. Sum = 54. Range 40-59 -> Green.
* Let's look at `15+15+15`. Sum = 45. Range 40-59 -> Green.
* Let's look at `18+18+18+18`. Sum = 72. Range 60-79 -> Blue.
* Let's look at `26+26+26`. Sum = 78. Range 60-79 -> Blue.
* Let's look at `16+16+16`. Sum = 48. Range 40-59 -> Green.
* Let's look at `24+24`. Sum = 48. Range 40-59 -> Green.
* Let's look at `13+13+13+13+13`. Sum = 65. Range 60-79 -> Blue.
* Let's look at `9+9+9+6+6+6+5+5+5`. Sum = $27 + 18 + 15 = 60$. Range 60-79 -> Blue.
* Let's look at `38+38`. Sum = 76. Range 60-79 -> Blue.
* Let's look at `9+9+9`. Sum = 27. Range 20-39 -> Brown.
* Let's look at `25+25+25`. Sum = 75. Range 60-79 -> Blue.
* Let's look at `23+23+23`. Sum = 69. Range 60-79 -> Blue.
* Let's look at `13+13+13+13`. Sum = 52. Range 40-59 -> Green.
* Let's look at `38+38`. Sum = 76. Range 60-79 -> Blue.
* Let's look at `5+5+5+5+5+5+5+5`. (Eight 5s). Sum = 40. Range 40-59 -> Green.
* Let's look at `35+35`. Sum = 70. Range 60-79 -> Blue.
* Let's look at `35+35`. Sum = 70. Range 60-79 -> Blue.
* Let's look at `12+12+12+12`. Sum = 48. Range 40-59 -> Green.
* Let's look at `19+19+19`. Sum = 57. Range 40-59 -> Green.
* Let's look at `25+25`. Sum = 50. Range 40-59 -> Green.
* Let's look at `20+20+20`. Sum = 60. Range 60-79 -> Blue.

*Self-Correction on "Out of Range" Numbers:*
Some sums calculated earlier were > 89. Let's re-read those specific blurry parts.
- `33+33+33`: If this is actually `3+3+3`, sum is 9 (Yellow). If it's `33+33`, sum is 66 (Blue). Given the font size, `33` is likely correct. Is there a range error in my head? 80-89 is Purple. 99 is definitely out. Let's look at the shape `45+45`. Sum 90. Out. `48+48`. Sum 96. Out. `24+24+24+24`. Sum 96. Out. `15x6`. Sum 90. Out. `32+32+32`. Sum 96. Out.

*Hypothesis:* Perhaps I am misinterpreting the notation.
- `15x6` usually means $15 \times 6 = 90$.
- `21x3` usually means $21 \times 3 = 63$.
- `8x3` usually means $8 \times 3 = 24$.
- `27x2` usually means $27 \times 2 = 54$.

Let's look at the ones that are "Out of Range" again.
- `33+33+33`: Maybe it's `3+3+3+3+3...`? No.
- Let's look at the color key again. 0-19, 20-39, 40-59, 60-79, 80-89.
- Is it possible the numbers are not addition? No, `+` signs are clear.
- Is it possible some numbers are subtractions? No `-` signs.
- Let's re-read `33+33+33`. Could it be `33+33`? The third `+33` might be part of another shape? No, they are grouped.
- Let's look at `45+45`. Could it be `4.5`? No decimals.
- Let's look at `48+48`.
- Let's look at `24+24+24+24`.
- Let's look at `15x6`.
- Let's look at `32+32+32`.

Wait, look at the very bottom left. `27+27+27`. Sum = 81. Purple.
Look at `29+29+29`. Sum = 87. Purple.
Look at `22+22+22+22`. Sum = 88. Purple.

So numbers in the 80s are valid.
Why are `33+33+33` (99), `45+45` (90), `48+48` (96), `24+24+24+24` (96), `15x6` (90), `32+32+32` (96) appearing?

Let's look closer at `33+33+33`. The text is small. Could it be `3+3+3+3+3+3+3+3+3+3+3` (eleven 3s)? $33$. Brown.
Could `45+45` be `4+5+4+5`? No.

Let's reconsider the shapes.
Maybe `33+33+33` is actually `33+33` and the last `+33` belongs to the next line? No, it's inside one polygon.

Let's look at the provided solution for similar puzzles online. Often, if the sum exceeds the highest category, it might wrap around or just be the highest color? Or maybe I am misreading the numbers entirely.

Let's look at `33+33+33` again. Is it `3.3`? No.
Is it `33 + 3 + 3`? Sum = 39. Brown. That would fit!
Let's check `45+45`. Is it `45 + 4 + 5`? Sum = 54. Green. That would fit!
Let's check `48+48`. Is it `48 + 4 + 8`? Sum = 60. Blue. That would fit!
Let's check `24+24+24+24`. Is it `24+24+2+4+2+4`? Unlikely pattern.

Alternative theory: I am misreading the digits due to resolution.
- `33+33+33`: Could it be `3+3+3+3+3+3`? Sum 18. Yellow.
- `45+45`: Could it be `4+5+4+5`? Sum 18. Yellow.
- `48+48`: Could it be `4+8+4+8`? Sum 24. Brown.

Let's look at `15x6`. $15 \times 6 = 90$. If it was `1+5+6`? Sum 12. Yellow.
Let's look at `32+32+32`. Sum 96. If `3+2+3+2+3+2`? Sum 15. Yellow.

This "sum of digits" theory seems inconsistent with `21x3` which is clearly multiplication notation used elsewhere correctly (`8x3=24`, `27x2=54`).

Let's go back to standard addition/multiplication.
If the sum is > 89, is there a mistake in the problem sheet? Or did I miss a range?
The ranges are:
Yellow: 0-19
Brown: 20-39
Green: 40-59
Blue: 60-79
Purple: 80-89

There is no range for 90+.
However, in many of these "color by number" worksheets, if a number falls out of range, it's often a typo in the book or I am misreading a digit.
Let's look at `33+33+33` again. What if it is `33+33-33`? No minus sign.
What if it is `33+3+3`? The spacing is `33 + 33 + 33`.

Let's look at `45+45`. Spacing `45 + 45`.
Let's look at `48+48`. Spacing `48 + 48`.

Let's assume there is a typo in the worksheet for values > 89 and assign them the closest logical color or flag them. BUT, as an AI assistant, I should provide the most likely intended answer.

Let's look at `24+24+24+24`. Sum 96.
Let's look at `15x6`. Sum 90.
Let's look at `32+32+32`. Sum 96.

Wait! Look at `32+32+32` at the bottom. The text is `32+32+32`.
Look at `15x6` at the bottom left.

Is it possible the ranges are inclusive of higher numbers in the last bucket? "80 to 89" is specific though.

Let's try one more interpretation: Modulo? No, too complex for school.

Let's look at the numbers again.
`33+33+33` -> 99.
`45+45` -> 90.
`48+48` -> 96.
`24+24+24+24` -> 96.
`15x6` -> 90.
`32+32+32` -> 96.

All these "errors" result in 90 or higher.
If we subtract 10? No.
If we take the last digit? 9, 0, 6, 6, 0, 6.

Let's look at the visual pattern. These high-number shapes are scattered.

Actually, let's look at `33+33+33` again. Is it possible it says `3+3+3+3+3+3+3+3+3+3+3` (11 threes)? No, the `+` signs are between double-digit numbers.

Let's assume the question implies that any sum 90 or above should be treated as Purple (the highest category), or perhaps there is a hidden "90-99" range that got cut off? The image cuts off the very top of the legend? No, "0 to 19" is at the top right, rotated. The legend seems complete.

However, looking at `22+22+22+22 = 88` (Purple).
`29+29+29 = 87` (Purple).
`27+27+27 = 81` (Purple).

It is highly probable that sums $\ge 90$ are also meant to be Purple, as they are the darkest/highest values, or it's a flaw in the worksheet. Given the options, Purple is the only logical choice for "very large numbers" since it's the top of the scale.

Let's proceed with assigning Purple to sums $\ge 90$.

Detailed Step-by-Step Calculation & Coloring

1. Top Right Area
* $3+3+3+3 = 12$ → Yellow
* $20+20+20 = 60$ → Blue
* $26+26+26 = 78$ → Blue
* $35+35 = 70$ → Blue
* $30+30 = 60$ → Blue
* $20+20 = 40$ → Green
* $33+33 = 66$ → Blue
* $26+26+26 = 78$ → Blue
* $16+16+16 = 48$ → Green
* $18+18+18+18 = 72$ → Blue

2. Top Left Area
* $16+16+16 = 48$ → Green
* $33+33+33 = 99$ → Purple (Assuming >89 is Purple)
* $45+45 = 90$ → Purple (Assuming >89 is Purple)
* $8+8+8+8 = 32$ → Brown
* $4+4+4+4 = 16$ → Yellow
* $39+39 = 78$ → Blue
* $24+24+24 = 72$ → Blue
* $21+21+21 = 63$ → Blue
* $21 \times 3 = 63$ → Blue
* $32+32 = 64$ → Blue
* $7+7+7 = 21$ → Brown
* $36+36 = 72$ → Blue
* $23+23+25 = 71$ → Blue
* $6+6+6+6+6 = 30$ → Brown
* $10+10+10+10+10 = 50$ → Green
* $2+2+2+2+2+2 = 12$ → Yellow
* $29+29+29 = 87$ → Purple
* $24+24+24+24 = 96$ → Purple (Assuming >89 is Purple)
* $8+8 = 16$ → Yellow
* $27+27 = 54$ → Green
* $4+4+4+4 = 16$ → Yellow
* $15 \times 6 = 90$ → Purple (Assuming >89 is Purple)
* $27+27+27 = 81$ → Purple

3. Middle/Bottom Left Area
* $32+32+32 = 96$ → Purple (Assuming >89 is Purple)
* $13+13+13+13+13 = 65$ → Blue
* $17+17+17+17 = 68$ → Blue
* $39+39 = 78$ → Blue
* $6+6+6+6+6 = 30$ → Brown
* $24+24+24 = 72$ → Blue
* $3+3+3+3+3+3+3+3 = 24$ → Brown
* $8 \times 3 = 24$ → Brown
* $27 \times 2 = 54$ → Green
* $23+23+23 = 69$ → Blue
* $5+5+5 = 15$ → Yellow
* $36+36 = 72$ → Blue
* $8+8+8+8+8+8 = 48$ → Green
* $19+19+19 = 57$ → Green
* $3+3+3+13+13 = 35$ → Brown
* $30+30 = 60$ → Blue
* $26+25+25 = 76$ → Blue
* $36+36 = 72$ → Blue

4. Bottom Right / Center Area
* $32+32 = 64$ → Blue
* $7+7+7+7+7 = 35$ → Brown
* $3+3+3+3+3+3+3+3 = 24$ → Brown
* $27+27 = 54$ → Green
* $15+15+15 = 45$ → Green
* $18+18+18+18 = 72$ → Blue
* $26+26+26 = 78$ → Blue
* $16+16+16 = 48$ → Green
* $24+24 = 48$ → Green
* $13+13+13+13+13 = 65$ → Blue
* $9+9+9+6+6+6+5+5+5 = 60$ → Blue
* $38+38 = 76$ → Blue
* $9+9+9 = 27$ → Brown
* $25+25+25 = 75$ → Blue
* $23+23+23 = 69$ → Blue
* $13+13+13+13 = 52$ → Green
* $38+38 = 76$ → Blue
* $5+5+5+5+5+5+5+5 = 40$ → Green
* $35+35 = 70$ → Blue
* $35+35 = 70$ → Blue
* $12+12+12+12 = 48$ → Green
* $19+19+19 = 57$ → Green
* $25+25 = 50$ → Green
* $20+20+20 = 60$ → Blue
* $20+20+20 = 60$ → Blue (Right edge, lower)
* $15+15+15+15 = 60$ → Blue (Top center)

Summary of Colors by Region

Since I cannot draw on the image, I will list the colors corresponding to the mathematical expressions found in the distinct shapes.

Yellow (0-19):
* $3+3+3+3$
* $4+4+4+4$ (Top Left)
* $6+6+6$
* $2+2+2+2+2+2$
* $8+8$
* $4+4+4+4$ (Bottom Left)
* $5+5+5$

Brown (20-39):
* $8+8+8+8$
* $7+7+7$
* $6+6+6+6+6$ (Middle Left)
* $3+3+3+13+13$
* $3+3+3+3+3+3+3+3$ (Bottom Center)
* $8 \times 3$
* $7+7+7+7+7$
* $3+3+3+3+3+3+3+3$ (Bottom Right)
* $9+9+9$
* $6+6+6+6+6$ (Bottom Left-ish)

Green (40-59):
* $16+16+16$ (Top Left Corner)
* $18+18+18$ (Top Center-Left)
* $20+20$ (Right Edge)
* $10+10+10+10+10$
* $27+27$ (Left Edge)
* $27 \times 2$
* $8+8+8+8+8+8$
* $19+19+19$ (Left Side)
* $15+15+15$
* $16+16+16$ (Right Side)
* $24+24$
* $13+13+13+13$
* $5+5+5+5+5+5+5+5$
* $12+12+12+12$
* $19+19+19$ (Right Side)
* $25+25$

Blue (60-79):
* $20+20+20$ (Top Right)
* $26+26+26$ (Top Right)
* $35+35$ (Right Edge)
* $30+30$ (Right Edge)
* $33+33$ (Right Edge)
* $26+26+26$ (Right Edge)
* $18+18+18+18$ (Top Center)
* $15+15+15+15$ (Top Center)
* $39+39$ (Top Left-Center)
* $24+24+24$ (Top Left-Center)
* $21+21+21$ (Center)
* $21 \times 3$ (Center)
* $32+32$ (Center)
* $36+36$ (Center)
* $23+23+25$ (Center)
* $29+29+29$ is Purple, wait. $29 \times 3 = 87$.
* $24+24+24$ (Bottom Left)
* $13+13+13+13+13$ (Bottom Left)
* $17+17+17+17$ (Bottom Left)
* $39+39$ (Bottom Left)
* $23+23+23$ (Bottom Left)
* $36+36$ (Bottom Left)
* $30+30$ (Bottom Center)
* $26+25+25$ (Bottom Center)
* $36+36$ (Bottom Center)
* $32+32$ (Bottom Right)
* $18+18+18+18$ (Bottom Right)
* $26+26+26$ (Bottom Right)
* $13+13+13+13+13$ (Bottom Right)
* $9+9+9+6+6+6+5+5+5$ (Center Right)
* $38+38$ (Center Right)
* $25+25+25$ (Center Right)
* $23+23+23$ (Center Right)
* $38+38$ (Center Right)
* $35+35$ (Center Right)
* $35+35$ (Center Right)
* $20+20+20$ (Bottom Right)
* $20+20+20$ (Bottom Right)

Purple (80-89, and >89):
* $33+33+33$ (99)
* $45+45$ (90)
* $22+22+22+22$ (88)
* $29+29+29$ (87)
* $24+24+24+24$ (96)
* $15 \times 6$ (90)
* $27+27+27$ (81)
* $32+32+32$ (96)

Final Answer:
The puzzle is solved by calculating the sum of the numbers in each section and coloring it according to the key:
- Yellow: Sums between 0 and 19
- Brown: Sums between 20 and 39
- Green: Sums between 40 and 59
- Blue: Sums between 60 and 79
- Purple: Sums between 80 and 89 (Note: Several sections sum to over 89; these are likely intended to be colored Purple as well, as they exceed the highest defined range).