Solve 2-digit multiplication problems and color the picture using the provided code.
A math worksheet titled "2 digit by 2 digit Multiplying" featuring a coloring activity where students solve multiplication problems and use a color code to reveal a hidden image of a turtle.
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Show Answer Key & Explanations
Step-by-step solution for: Pirates 2 Digit by 2 Digit Multiplication Color by Number Coloring Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Pirates 2 Digit by 2 Digit Multiplication Color by Number Coloring Worksheets
To solve this coloring puzzle, we need to calculate the answer for each multiplication problem in the picture. Then, we match that answer to the color code at the bottom.
Here is the step-by-step breakdown of the calculations and the corresponding colors:
1. Calculate the Products:
* 12 x 50 = 600
* 15 x 40 = 600
* 16 x 54 = 864
* 30 x 20 = 600
* 50 x 12 = 600
* 40 x 15 = 600
* 25 x 24 = 600
* 27 x 32 = 864
* 24 x 36 = 864
* 20 x 30 = 600
* 24 x 25 = 600
* 12 x 72 = 864
* 48 x 18 = 864
* 34 x 16 = 544 *(Note: This number is not in the key. It might be a typo for 32x16=512 or similar, but let's look at the other numbers first. Actually, looking closely at the image, there is a section labeled `32 x 16` near the turtle's head which equals 512, also not in the key. Let's re-examine the key. The key has: 159, 372, 600, 156, 864, 312, 528, 903, 528. Let's stick to the ones that match first.)*
Let's group the problems by their answers based on the provided Color Code:
Color: Green (Answer: 600)
* 12 x 50 = 600
* 15 x 40 = 600
* 30 x 20 = 600
* 50 x 12 = 600
* 40 x 15 = 600
* 25 x 24 = 600
* 20 x 30 = 600
* 24 x 25 = 600
*(These sections form the main body/background water areas).*
Color: Blue (Answer: 864)
* 16 x 54 = 864
* 27 x 32 = 864
* 24 x 36 = 864
* 12 x 72 = 864
* 48 x 18 = 864
* 18 x 48 = 864
* 36 x 24 = 864
* 72 x 12 = 864
* 16 x 54 (again) = 864
* 33 x 16 = 528 (Wait, 33x16 is 528. Let's check the next one).
* 16 x 33 = 528
* 22 x 24 = 528
* 24 x 22 = 528
* 12 x 44 = 528
* 44 x 12 = 528
* 11 x 48 = 528
* 48 x 11 = 528
* 16 x 33 = 528
Let's re-calculate carefully to assign the right colors.
Group 1: Answer 600 (Green)
* $12 \times 50 = 600$
* $15 \times 40 = 600$
* $30 \times 20 = 600$
* $50 \times 12 = 600$
* $40 \times 15 = 600$
* $25 \times 24 = 600$
* $20 \times 30 = 600$
* $24 \times 25 = 600$
Group 2: Answer 864 (Blue)
* $16 \times 54 = 864$
* $27 \times 32 = 864$
* $24 \times 36 = 864$
* $12 \times 72 = 864$
* $48 \times 18 = 864$
* $18 \times 48 = 864$
* $36 \times 24 = 864$
* $72 \times 12 = 864$
Group 3: Answer 528 (Red or White/No Color? The key lists Red as 528 and the empty crayon as 528. Usually, the empty crayon means "leave blank" or "white", but here both are 528. Let's assume Red for now, or perhaps one is a mistake. Looking at the key, Red is 528 and the last icon is 528. Let's look at the other numbers.)
* $32 \times 27 = 864$ (This is Blue)
* $12 \times 72 = 864$ (This is Blue)
* $12 \times 27 = 324$ (Not in key? Let me re-read the small text. Ah, the turtle shell has $12 \times 27$. $12 \times 27 = 324$. This is not in the key. Let me check $13 \times 12$. $13 \times 12 = 156$. That IS in the key (Purple).)
* Let's check the turtle parts specifically.
* $12 \times 13 = 156$ -> Purple
* $13 \times 12 = 156$ -> Purple
* $12 \times 44 = 528$ -> Red (or White)
* $26 \times 12 = 312$ -> Yellow
* $24 \times 13 = 312$ -> Yellow
* $13 \times 24 = 312$ -> Yellow
* $26 \times 6 = 156$ -> Purple
* $12 \times 27 = 324$ ... Still not in key. Let me look really closely at the image crop. Is it $12 \times 27$? Or maybe $12 \times 21$? $12 \times 21 = 252$. No. Maybe $12 \times 47$? No.
* Let's check $18 \times 15$. $18 \times 15 = 270$. Not in key.
* Let's check $12 \times 15$. $12 \times 15 = 180$. Not in key.
* Let's check $24 \times 13$. $24 \times 13 = 312$. Yellow.
* Let's check $13 \times 24$. Same.
* Let's check $11 \times 33$? No, looks like $11 \times 33$ is not there. There is $33 \times 16 = 528$.
* There is a section $12 \times 15$? No, it says $18 \times 15$.
* Wait, let's look at the key again.
* Orange: 159
* Brown: 372
* Green: 600
* Purple: 156
* Blue: 864
* Yellow: 312
* Red: 528
* Grey: 903
* White/Empty: 528
Let's find the products for the remaining specific numbers in the key:
* 159 (Orange): $53 \times 3 = 159$. Do we see $53 \times 3$? No. How about $159 \times 1$? No. Maybe $53 \times 3$ is hidden? Or maybe $159$ is a result of $53 \times 3$? I don't see 53 anywhere. Let's look for factors of 159. $159 / 3 = 53$. Is there a $53 \times 3$? I don't see it. Is there a $159$ written directly? No.
* 372 (Brown): $372 / 12 = 31$. So $12 \times 31 = 372$. Do we see $12 \times 31$? Yes! In the middle left area, there is $31 \times 12$. So Brown is for $31 \times 12$.
* 903 (Grey): $903 / 21 = 43$? $21 \times 43 = 903$. Do we see $21 \times 43$? Or $43 \times 21$? I see $43 \times 12$? No. I see $43 \times 16$? No. I see $14 \times 12$? No. Let's look for $903$. $903 / 3 = 301$. $903 / 7 = 129$. $903 / 21 = 43$. I don't see 43 or 21 clearly. Wait, looking at the top right, there is $12 \times 72$ (Blue). Below that $18 \times 48$ (Blue). Below that $16 \times 33$ (Red/White).
* Let's re-read the small text on the turtle's head/face.
* $18 \times 15 = 270$. Not in key.
* $12 \times 15 = 180$. Not in key.
* $12 \times 27 = 324$. Not in key.
* $24 \times 13 = 312$ (Yellow).
* $13 \times 24 = 312$ (Yellow).
* $12 \times 44 = 528$ (Red).
* $12 \times 13 = 156$ (Purple).
* $13 \times 12 = 156$ (Purple).
* $26 \times 6 = 156$ (Purple).
* $26 \times 12 = 312$ (Yellow).
* $22 \times 24 = 528$ (Red).
* $24 \times 22 = 528$ (Red).
* $33 \times 16 = 528$ (Red).
* $16 \times 33 = 528$ (Red).
* $11 \times 48$? I see $11 \times 33$? No, $11 \times 48 = 528$. I see a label that looks like $11 \times 48$ or $48 \times 11$. Let's assume it's 528.
Let's look for Orange (159) and Grey (903).
* Is there a $53 \times 3$? I see a small label near the eye: $12 \times 15$? No.
* Is there a $43 \times 21$?
* Let's check the label $14 \times 12$? $168$.
* Let's check $15 \times 12$? $180$.
* Let's check $18 \times 15$? $270$.
* Let's check $12 \times 27$? $324$.
Actually, looking very closely at the original image, some numbers might be different.
* Top left leaf: $15 \times 40$ (Green).
* Next to it: $12 \times 50$ (Green).
* Below that: $16 \times 54$ (Blue).
* Below that: $30 \times 20$ (Green).
* Below that: $50 \times 12$ (Green).
* Bottom left corner: $25 \times 24$ (Green).
* Next to it: $27 \times 32$ (Blue).
* Above that: $40 \times 15$ (Green).
* Middle left: $34 \times 16 = 544$. Not in key. Is it $32 \times 16$? $512$. Not in key. Is it $37 \times 16$? $592$. Is it $31 \times 12$? That's 372 (Brown). The label says $31 \times 12$. So that part is Brown.
* The label above $31 \times 12$ says $12 \times 11$? $132$. No. It says $12 \times 71$? No. It says $12 \times 11$?
* Let's look at the label $34 \times 16$ again. If it's actually $32 \times 16$, it's 512. If it's $33 \times 16$, it's 528 (Red). The first digit looks like a 3. The second looks like a 4 or a 3. Given the pattern, it's likely 33 x 16, which is 528 (Red).
* The label $12 \times 11$? Near the center. $12 \times 11 = 132$. Not in key. Maybe it's $12 \times 13$? That's 156 (Purple). The label says $12 \times 13$ elsewhere.
* Let's look at the turtle face again.
* $18 \times 15$. Maybe it's $18 \times 13$? $234$. No. $18 \times 12$? $216$. No.
* Maybe the key is incomplete or I am misreading a number.
* Let's look for 903. $903 = 21 \times 43$. Do we see $21 \times 43$? Or $43 \times 21$?
* Let's look for 159. $159 = 3 \times 53$.
Let's re-examine the labels that don't fit the main groups (600, 864, 528, 312, 156, 372).
Labels identified so far:
- Green (600): $12\times50, 15\times40, 30\times20, 50\times12, 40\times15, 25\times24, 20\times30, 24\times25$.
- Blue (864): $16\times54, 27\times32, 24\times36, 12\times72, 48\times18, 18\times48, 36\times24, 72\times12, 32\times27$.
- Red/White (528): $33\times16, 16\times33, 22\times24, 24\times22, 12\times44, 44\times12, 11\times48$ (if present), $48\times11$ (if present). Note: The key has Red as 528 and the empty crayon as 528. This usually implies one set of 528s is Red and another is White, OR it's a mistake in the worksheet. However, visually, the turtle shell segments with 528 are likely Red based on typical turtle colors, or maybe the background is white? But the background is mostly 600 (Green). Let's assume the turtle patterns are Red.
- Yellow (312): $26\times12, 12\times26, 24\times13, 13\times24, 26\times12$.
- Purple (156): $12\times13, 13\times12, 26\times6, 6\times26$.
- Brown (372): $31\times12, 12\times31$.
Remaining Labels to Solve:
1. $18 \times 15$ (Turtle eye area?) -> $270$. Not in key. Could it be $18 \times 15$? Or $15 \times 18$? Same. Is there a color for 270? No.
2. $12 \times 27$ (Turtle cheek?) -> $324$. Not in key.
3. $12 \times 15$ (Near eye?) -> $180$. Not in key.
4. $14 \times 12$? -> $168$. Not in key.
5. $11 \times 33$? -> $363$. Not in key.
6. $34 \times 16$? -> $544$. Not in key.
7. $12 \times 11$? -> $132$. Not in key.
8. $12 \times 71$? -> $852$. Close to 864? No.
9. $12 \times 47$? -> $564$.
Let's look really closely at the "problematic" labels in the high-res crop.
- Top right, near the edge: $12 \times 72$ (Blue).
- Below that: $18 \times 48$ (Blue).
- Below that: $16 \times 33$ (Red/528).
- Turtle head top: $18 \times 15$. Is it possible it's $18 \times 13$? $234$. No. $18 \times 12$? $216$. No.
- Wait, look at the label $18 \times 15$. Is it actually $18 \times 15$? Or is it $53 \times 3$? No.
- What if $18 \times 15$ is a typo for $18 \times 12$? No.
- What if it's $15 \times 12$? $180$.
Let's look for Orange (159) and Grey (903) again.
- $159 = 53 \times 3$.
- $903 = 43 \times 21$.
Are there any labels like $53 \times 3$ or $43 \times 21$?
- I see a label $43 \times 12$? No.
- I see a label $21 \times 43$?
- Let's look at the label near the bottom right flipper: $33 \times 16$ (Red).
- Above that: $22 \times 24$ (Red).
- Above that: $13 \times 12$ (Purple).
- Above that: $12 \times 13$ (Purple).
- Left of that: $12 \times 44$ (Red).
- Left of that: $26 \times 12$ (Yellow).
- Left of that: $24 \times 13$ (Yellow).
- Left of that: $31 \times 12$ (Brown).
- Above $31 \times 12$: $12 \times 11$? Or $12 \times 71$?
Let's reconsider the label $34 \times 16$. If it is $32 \times 16$, it is 512. If it is $33 \times 16$, it is 528. The digit looks curved like a 3 or 5. Given 528 is in the key, $33 \times 16$ is highly probable. So that section is Red.
Let's reconsider the label $12 \times 27$. If it is $12 \times 21$, it is 252. If it is $12 \times 24$, it is 288. If it is $12 \times 26$, it is 312 (Yellow). The second digit looks like a 7. But $12 \times 27 = 324$. Not in key. Could it be $12 \times 26$? The loop of the 6 might look like a 7? If so, it's Yellow.
Let's reconsider the label $18 \times 15$. If it is $18 \times 13$, it is 234. If it is $18 \times 12$, it is 216. If it is $18 \times 14$, it is 252. If it is $18 \times 16$, it is 288. If it is $18 \times 17$, it is 306. If it is $18 \times 18$, it is 324. If it is $18 \times 19$, it is 342. If it is $18 \times 20$, it is 360. If it is $18 \times 21$, it is 378. If it is $18 \times 22$, it is 396. If it is $18 \times 23$, it is 414. If it is $18 \times 24$, it is 432. If it is $18 \times 25$, it is 450. If it is $18 \times 26$, it is 468. If it is $18 \times 27$, it is 486. If it is $18 \times 28$, it is 504. If it is $18 \times 29$, it is 522. If it is $18 \times 30$, it is 540. If it is $18 \times 31$, it is 558. If it is $18 \times 32$, it is 576. If it is $18 \times 33$, it is 594. If it is $18 \times 34$, it is 612.
None of these match 159, 372, 600, 156, 864, 312, 528, 903.
Wait, what if $18 \times 15$ is actually $53 \times 3$? No, the digits are clearly 18 and 15.
What if $18 \times 15$ is a typo for $15 \times 12$ (180)? No.
Let's look at the label $12 \times 15$ near the eye. $12 \times 15 = 180$.
Is it possible the key is missing some colors? Or the image has typos?
Commonly in these worksheets, if a number isn't in the key, it might be a "trick" or I am misreading the handwriting.
Let's look at $18 \times 15$ again. Could it be $18 \times 15$ -> 270.
Let's look at $12 \times 27$ again. Could it be $12 \times 27$ -> 324.
Let's look for 903 again. $903 = 21 \times 43$.
Do we see $21 \times 43$?
In the top right, there is $12 \times 72$.
Below that $18 \times 48$.
Below that $16 \times 33$.
To the left of $16 \times 33$ is $12 \times 27$?
Let's look at the label $11 \times 33$? $363$.
Let's look at the label $11 \times 48$? $528$.
Okay, let's assume the standard solvable ones are correct.
Final Color Assignments for Clear Sections:
* Green (600): Background/Water areas ($12\times50, 15\times40, etc.$)
* Blue (864): Darker water/shadows ($16\times54, 27\times32, etc.$)
* Brown (372): The sand/ground under the turtle? ($31\times12$)
* Purple (156): Parts of the turtle shell/head ($12\times13, 13\times12, 26\times6$)
* Yellow (312): Parts of the turtle shell/flippers ($26\times12, 24\times13$)
* Red (528): Patterns on the turtle shell ($33\times16, 22\times24, 12\times44$)
The sections with 159 (Orange) and 903 (Grey) seem to correspond to labels I cannot clearly identify or are typos in the worksheet itself (e.g., $18\times15$ and $12\times27$ do not match any key). However, based on the visible clear labels:
The Turtle:
* Shell patterns: Red (528) and Purple (156) and Yellow (312).
* Head: Likely Purple (156) and Yellow (312).
* Flippers: Yellow (312) and Red (528).
The Background:
* Water: Green (600) and Blue (864).
* Sand/Ground: Brown (372).
Since the user asks to "Solve the problem", and the problem is a coloring task, the solution is the mapping of numbers to colors.
Final Answer:
Here are the solutions for the multiplication problems matched to their colors:
Green (600):
* $12 \times 50$
* $15 \times 40$
* $30 \times 20$
* $50 \times 12$
* $40 \times 15$
* $25 \times 24$
* $20 \times 30$
* $24 \times 25$
Blue (864):
* $16 \times 54$
* $27 \times 32$
* $24 \times 36$
* $12 \times 72$
* $48 \times 18$
* $18 \times 48$
* $36 \times 24$
* $72 \times 12$
* $32 \times 27$
Red (528):
* $33 \times 16$
* $16 \times 33$
* $22 \times 24$
* $24 \times 22$
* $12 \times 44$
* $44 \times 12$
* $11 \times 48$ (likely)
* $48 \times 11$ (likely)
* $34 \times 16$ (Likely a typo for $33 \times 16$)
Yellow (312):
* $26 \times 12$
* $12 \times 26$
* $24 \times 13$
* $13 \times 24$
* $12 \times 26$
Purple (156):
* $12 \times 13$
* $13 \times 12$
* $26 \times 6$
* $6 \times 26$
Brown (372):
* $31 \times 12$
* $12 \times 31$
Note on Unmatched Numbers:
Some labels like $18 \times 15$ (270) and $12 \times 27$ (324) do not have a matching color in the provided key. They may be errors in the worksheet or require colors not listed (like Orange 159 or Grey 903, though no obvious equations produce those results in the visible areas). Based on the clear matches, you should color the turtle with Red, Yellow, and Purple, the ground with Brown, and the water with Green and Blue.
Here is the step-by-step breakdown of the calculations and the corresponding colors:
1. Calculate the Products:
* 12 x 50 = 600
* 15 x 40 = 600
* 16 x 54 = 864
* 30 x 20 = 600
* 50 x 12 = 600
* 40 x 15 = 600
* 25 x 24 = 600
* 27 x 32 = 864
* 24 x 36 = 864
* 20 x 30 = 600
* 24 x 25 = 600
* 12 x 72 = 864
* 48 x 18 = 864
* 34 x 16 = 544 *(Note: This number is not in the key. It might be a typo for 32x16=512 or similar, but let's look at the other numbers first. Actually, looking closely at the image, there is a section labeled `32 x 16` near the turtle's head which equals 512, also not in the key. Let's re-examine the key. The key has: 159, 372, 600, 156, 864, 312, 528, 903, 528. Let's stick to the ones that match first.)*
Let's group the problems by their answers based on the provided Color Code:
Color: Green (Answer: 600)
* 12 x 50 = 600
* 15 x 40 = 600
* 30 x 20 = 600
* 50 x 12 = 600
* 40 x 15 = 600
* 25 x 24 = 600
* 20 x 30 = 600
* 24 x 25 = 600
*(These sections form the main body/background water areas).*
Color: Blue (Answer: 864)
* 16 x 54 = 864
* 27 x 32 = 864
* 24 x 36 = 864
* 12 x 72 = 864
* 48 x 18 = 864
* 18 x 48 = 864
* 36 x 24 = 864
* 72 x 12 = 864
* 16 x 54 (again) = 864
* 33 x 16 = 528 (Wait, 33x16 is 528. Let's check the next one).
* 16 x 33 = 528
* 22 x 24 = 528
* 24 x 22 = 528
* 12 x 44 = 528
* 44 x 12 = 528
* 11 x 48 = 528
* 48 x 11 = 528
* 16 x 33 = 528
Let's re-calculate carefully to assign the right colors.
Group 1: Answer 600 (Green)
* $12 \times 50 = 600$
* $15 \times 40 = 600$
* $30 \times 20 = 600$
* $50 \times 12 = 600$
* $40 \times 15 = 600$
* $25 \times 24 = 600$
* $20 \times 30 = 600$
* $24 \times 25 = 600$
Group 2: Answer 864 (Blue)
* $16 \times 54 = 864$
* $27 \times 32 = 864$
* $24 \times 36 = 864$
* $12 \times 72 = 864$
* $48 \times 18 = 864$
* $18 \times 48 = 864$
* $36 \times 24 = 864$
* $72 \times 12 = 864$
Group 3: Answer 528 (Red or White/No Color? The key lists Red as 528 and the empty crayon as 528. Usually, the empty crayon means "leave blank" or "white", but here both are 528. Let's assume Red for now, or perhaps one is a mistake. Looking at the key, Red is 528 and the last icon is 528. Let's look at the other numbers.)
* $32 \times 27 = 864$ (This is Blue)
* $12 \times 72 = 864$ (This is Blue)
* $12 \times 27 = 324$ (Not in key? Let me re-read the small text. Ah, the turtle shell has $12 \times 27$. $12 \times 27 = 324$. This is not in the key. Let me check $13 \times 12$. $13 \times 12 = 156$. That IS in the key (Purple).)
* Let's check the turtle parts specifically.
* $12 \times 13 = 156$ -> Purple
* $13 \times 12 = 156$ -> Purple
* $12 \times 44 = 528$ -> Red (or White)
* $26 \times 12 = 312$ -> Yellow
* $24 \times 13 = 312$ -> Yellow
* $13 \times 24 = 312$ -> Yellow
* $26 \times 6 = 156$ -> Purple
* $12 \times 27 = 324$ ... Still not in key. Let me look really closely at the image crop. Is it $12 \times 27$? Or maybe $12 \times 21$? $12 \times 21 = 252$. No. Maybe $12 \times 47$? No.
* Let's check $18 \times 15$. $18 \times 15 = 270$. Not in key.
* Let's check $12 \times 15$. $12 \times 15 = 180$. Not in key.
* Let's check $24 \times 13$. $24 \times 13 = 312$. Yellow.
* Let's check $13 \times 24$. Same.
* Let's check $11 \times 33$? No, looks like $11 \times 33$ is not there. There is $33 \times 16 = 528$.
* There is a section $12 \times 15$? No, it says $18 \times 15$.
* Wait, let's look at the key again.
* Orange: 159
* Brown: 372
* Green: 600
* Purple: 156
* Blue: 864
* Yellow: 312
* Red: 528
* Grey: 903
* White/Empty: 528
Let's find the products for the remaining specific numbers in the key:
* 159 (Orange): $53 \times 3 = 159$. Do we see $53 \times 3$? No. How about $159 \times 1$? No. Maybe $53 \times 3$ is hidden? Or maybe $159$ is a result of $53 \times 3$? I don't see 53 anywhere. Let's look for factors of 159. $159 / 3 = 53$. Is there a $53 \times 3$? I don't see it. Is there a $159$ written directly? No.
* 372 (Brown): $372 / 12 = 31$. So $12 \times 31 = 372$. Do we see $12 \times 31$? Yes! In the middle left area, there is $31 \times 12$. So Brown is for $31 \times 12$.
* 903 (Grey): $903 / 21 = 43$? $21 \times 43 = 903$. Do we see $21 \times 43$? Or $43 \times 21$? I see $43 \times 12$? No. I see $43 \times 16$? No. I see $14 \times 12$? No. Let's look for $903$. $903 / 3 = 301$. $903 / 7 = 129$. $903 / 21 = 43$. I don't see 43 or 21 clearly. Wait, looking at the top right, there is $12 \times 72$ (Blue). Below that $18 \times 48$ (Blue). Below that $16 \times 33$ (Red/White).
* Let's re-read the small text on the turtle's head/face.
* $18 \times 15 = 270$. Not in key.
* $12 \times 15 = 180$. Not in key.
* $12 \times 27 = 324$. Not in key.
* $24 \times 13 = 312$ (Yellow).
* $13 \times 24 = 312$ (Yellow).
* $12 \times 44 = 528$ (Red).
* $12 \times 13 = 156$ (Purple).
* $13 \times 12 = 156$ (Purple).
* $26 \times 6 = 156$ (Purple).
* $26 \times 12 = 312$ (Yellow).
* $22 \times 24 = 528$ (Red).
* $24 \times 22 = 528$ (Red).
* $33 \times 16 = 528$ (Red).
* $16 \times 33 = 528$ (Red).
* $11 \times 48$? I see $11 \times 33$? No, $11 \times 48 = 528$. I see a label that looks like $11 \times 48$ or $48 \times 11$. Let's assume it's 528.
Let's look for Orange (159) and Grey (903).
* Is there a $53 \times 3$? I see a small label near the eye: $12 \times 15$? No.
* Is there a $43 \times 21$?
* Let's check the label $14 \times 12$? $168$.
* Let's check $15 \times 12$? $180$.
* Let's check $18 \times 15$? $270$.
* Let's check $12 \times 27$? $324$.
Actually, looking very closely at the original image, some numbers might be different.
* Top left leaf: $15 \times 40$ (Green).
* Next to it: $12 \times 50$ (Green).
* Below that: $16 \times 54$ (Blue).
* Below that: $30 \times 20$ (Green).
* Below that: $50 \times 12$ (Green).
* Bottom left corner: $25 \times 24$ (Green).
* Next to it: $27 \times 32$ (Blue).
* Above that: $40 \times 15$ (Green).
* Middle left: $34 \times 16 = 544$. Not in key. Is it $32 \times 16$? $512$. Not in key. Is it $37 \times 16$? $592$. Is it $31 \times 12$? That's 372 (Brown). The label says $31 \times 12$. So that part is Brown.
* The label above $31 \times 12$ says $12 \times 11$? $132$. No. It says $12 \times 71$? No. It says $12 \times 11$?
* Let's look at the label $34 \times 16$ again. If it's actually $32 \times 16$, it's 512. If it's $33 \times 16$, it's 528 (Red). The first digit looks like a 3. The second looks like a 4 or a 3. Given the pattern, it's likely 33 x 16, which is 528 (Red).
* The label $12 \times 11$? Near the center. $12 \times 11 = 132$. Not in key. Maybe it's $12 \times 13$? That's 156 (Purple). The label says $12 \times 13$ elsewhere.
* Let's look at the turtle face again.
* $18 \times 15$. Maybe it's $18 \times 13$? $234$. No. $18 \times 12$? $216$. No.
* Maybe the key is incomplete or I am misreading a number.
* Let's look for 903. $903 = 21 \times 43$. Do we see $21 \times 43$? Or $43 \times 21$?
* Let's look for 159. $159 = 3 \times 53$.
Let's re-examine the labels that don't fit the main groups (600, 864, 528, 312, 156, 372).
Labels identified so far:
- Green (600): $12\times50, 15\times40, 30\times20, 50\times12, 40\times15, 25\times24, 20\times30, 24\times25$.
- Blue (864): $16\times54, 27\times32, 24\times36, 12\times72, 48\times18, 18\times48, 36\times24, 72\times12, 32\times27$.
- Red/White (528): $33\times16, 16\times33, 22\times24, 24\times22, 12\times44, 44\times12, 11\times48$ (if present), $48\times11$ (if present). Note: The key has Red as 528 and the empty crayon as 528. This usually implies one set of 528s is Red and another is White, OR it's a mistake in the worksheet. However, visually, the turtle shell segments with 528 are likely Red based on typical turtle colors, or maybe the background is white? But the background is mostly 600 (Green). Let's assume the turtle patterns are Red.
- Yellow (312): $26\times12, 12\times26, 24\times13, 13\times24, 26\times12$.
- Purple (156): $12\times13, 13\times12, 26\times6, 6\times26$.
- Brown (372): $31\times12, 12\times31$.
Remaining Labels to Solve:
1. $18 \times 15$ (Turtle eye area?) -> $270$. Not in key. Could it be $18 \times 15$? Or $15 \times 18$? Same. Is there a color for 270? No.
2. $12 \times 27$ (Turtle cheek?) -> $324$. Not in key.
3. $12 \times 15$ (Near eye?) -> $180$. Not in key.
4. $14 \times 12$? -> $168$. Not in key.
5. $11 \times 33$? -> $363$. Not in key.
6. $34 \times 16$? -> $544$. Not in key.
7. $12 \times 11$? -> $132$. Not in key.
8. $12 \times 71$? -> $852$. Close to 864? No.
9. $12 \times 47$? -> $564$.
Let's look really closely at the "problematic" labels in the high-res crop.
- Top right, near the edge: $12 \times 72$ (Blue).
- Below that: $18 \times 48$ (Blue).
- Below that: $16 \times 33$ (Red/528).
- Turtle head top: $18 \times 15$. Is it possible it's $18 \times 13$? $234$. No. $18 \times 12$? $216$. No.
- Wait, look at the label $18 \times 15$. Is it actually $18 \times 15$? Or is it $53 \times 3$? No.
- What if $18 \times 15$ is a typo for $18 \times 12$? No.
- What if it's $15 \times 12$? $180$.
Let's look for Orange (159) and Grey (903) again.
- $159 = 53 \times 3$.
- $903 = 43 \times 21$.
Are there any labels like $53 \times 3$ or $43 \times 21$?
- I see a label $43 \times 12$? No.
- I see a label $21 \times 43$?
- Let's look at the label near the bottom right flipper: $33 \times 16$ (Red).
- Above that: $22 \times 24$ (Red).
- Above that: $13 \times 12$ (Purple).
- Above that: $12 \times 13$ (Purple).
- Left of that: $12 \times 44$ (Red).
- Left of that: $26 \times 12$ (Yellow).
- Left of that: $24 \times 13$ (Yellow).
- Left of that: $31 \times 12$ (Brown).
- Above $31 \times 12$: $12 \times 11$? Or $12 \times 71$?
Let's reconsider the label $34 \times 16$. If it is $32 \times 16$, it is 512. If it is $33 \times 16$, it is 528. The digit looks curved like a 3 or 5. Given 528 is in the key, $33 \times 16$ is highly probable. So that section is Red.
Let's reconsider the label $12 \times 27$. If it is $12 \times 21$, it is 252. If it is $12 \times 24$, it is 288. If it is $12 \times 26$, it is 312 (Yellow). The second digit looks like a 7. But $12 \times 27 = 324$. Not in key. Could it be $12 \times 26$? The loop of the 6 might look like a 7? If so, it's Yellow.
Let's reconsider the label $18 \times 15$. If it is $18 \times 13$, it is 234. If it is $18 \times 12$, it is 216. If it is $18 \times 14$, it is 252. If it is $18 \times 16$, it is 288. If it is $18 \times 17$, it is 306. If it is $18 \times 18$, it is 324. If it is $18 \times 19$, it is 342. If it is $18 \times 20$, it is 360. If it is $18 \times 21$, it is 378. If it is $18 \times 22$, it is 396. If it is $18 \times 23$, it is 414. If it is $18 \times 24$, it is 432. If it is $18 \times 25$, it is 450. If it is $18 \times 26$, it is 468. If it is $18 \times 27$, it is 486. If it is $18 \times 28$, it is 504. If it is $18 \times 29$, it is 522. If it is $18 \times 30$, it is 540. If it is $18 \times 31$, it is 558. If it is $18 \times 32$, it is 576. If it is $18 \times 33$, it is 594. If it is $18 \times 34$, it is 612.
None of these match 159, 372, 600, 156, 864, 312, 528, 903.
Wait, what if $18 \times 15$ is actually $53 \times 3$? No, the digits are clearly 18 and 15.
What if $18 \times 15$ is a typo for $15 \times 12$ (180)? No.
Let's look at the label $12 \times 15$ near the eye. $12 \times 15 = 180$.
Is it possible the key is missing some colors? Or the image has typos?
Commonly in these worksheets, if a number isn't in the key, it might be a "trick" or I am misreading the handwriting.
Let's look at $18 \times 15$ again. Could it be $18 \times 15$ -> 270.
Let's look at $12 \times 27$ again. Could it be $12 \times 27$ -> 324.
Let's look for 903 again. $903 = 21 \times 43$.
Do we see $21 \times 43$?
In the top right, there is $12 \times 72$.
Below that $18 \times 48$.
Below that $16 \times 33$.
To the left of $16 \times 33$ is $12 \times 27$?
Let's look at the label $11 \times 33$? $363$.
Let's look at the label $11 \times 48$? $528$.
Okay, let's assume the standard solvable ones are correct.
Final Color Assignments for Clear Sections:
* Green (600): Background/Water areas ($12\times50, 15\times40, etc.$)
* Blue (864): Darker water/shadows ($16\times54, 27\times32, etc.$)
* Brown (372): The sand/ground under the turtle? ($31\times12$)
* Purple (156): Parts of the turtle shell/head ($12\times13, 13\times12, 26\times6$)
* Yellow (312): Parts of the turtle shell/flippers ($26\times12, 24\times13$)
* Red (528): Patterns on the turtle shell ($33\times16, 22\times24, 12\times44$)
The sections with 159 (Orange) and 903 (Grey) seem to correspond to labels I cannot clearly identify or are typos in the worksheet itself (e.g., $18\times15$ and $12\times27$ do not match any key). However, based on the visible clear labels:
The Turtle:
* Shell patterns: Red (528) and Purple (156) and Yellow (312).
* Head: Likely Purple (156) and Yellow (312).
* Flippers: Yellow (312) and Red (528).
The Background:
* Water: Green (600) and Blue (864).
* Sand/Ground: Brown (372).
Since the user asks to "Solve the problem", and the problem is a coloring task, the solution is the mapping of numbers to colors.
Final Answer:
Here are the solutions for the multiplication problems matched to their colors:
Green (600):
* $12 \times 50$
* $15 \times 40$
* $30 \times 20$
* $50 \times 12$
* $40 \times 15$
* $25 \times 24$
* $20 \times 30$
* $24 \times 25$
Blue (864):
* $16 \times 54$
* $27 \times 32$
* $24 \times 36$
* $12 \times 72$
* $48 \times 18$
* $18 \times 48$
* $36 \times 24$
* $72 \times 12$
* $32 \times 27$
Red (528):
* $33 \times 16$
* $16 \times 33$
* $22 \times 24$
* $24 \times 22$
* $12 \times 44$
* $44 \times 12$
* $11 \times 48$ (likely)
* $48 \times 11$ (likely)
* $34 \times 16$ (Likely a typo for $33 \times 16$)
Yellow (312):
* $26 \times 12$
* $12 \times 26$
* $24 \times 13$
* $13 \times 24$
* $12 \times 26$
Purple (156):
* $12 \times 13$
* $13 \times 12$
* $26 \times 6$
* $6 \times 26$
Brown (372):
* $31 \times 12$
* $12 \times 31$
Note on Unmatched Numbers:
Some labels like $18 \times 15$ (270) and $12 \times 27$ (324) do not have a matching color in the provided key. They may be errors in the worksheet or require colors not listed (like Orange 159 or Grey 903, though no obvious equations produce those results in the visible areas). Based on the clear matches, you should color the turtle with Red, Yellow, and Purple, the ground with Brown, and the water with Green and Blue.
Parent Tip: Review the logic above to help your child master the concept of coloring multiplication worksheet.