2 Digit Multiplication Worksheet - Free Printable
Educational worksheet: 2 Digit Multiplication Worksheet. Download and print for classroom or home learning activities.
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Step-by-step solution for: 2 Digit Multiplication Worksheet
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Show Answer Key & Explanations
Step-by-step solution for: 2 Digit Multiplication Worksheet
Let’s solve this step by step.
We have a color-by-code multiplication worksheet. Each section has a multiplication problem. We need to solve each one, then match the answer to the color code at the top.
Here’s the color code:
- 63 = blue
- 48 = orange
- 21 = brown
- 1 = black
- 30 = yellow
- 81 = gray
- 36 = pink
- 60 = green
- 9 = white
Now let’s go through each multiplication problem in the image and calculate it:
Top row (left to right):
- 5×12 = 60 → green
- 6×10 = 60 → green
- 3×3 = 9 → white
- 3×3 = 9 → white
- 30×2 = 60 → green
- 15×4 = 60 → green
Next row down:
- 8×6 = 48 → orange
- 12×4 = 48 → orange
- 1×48 = 48 → orange
- 8×6 = 48 → orange
- 60×1 = 60 → green
- 20×3 = 60 → green
Middle area (around the center box):
- 9×7 = 63 → blue
- 3×3 = 9 → white (inside small boxes)
- 3×3 = 9 → white
- 3×3 = 9 → white
- 7×9 = 63 → blue
- 12×4 = 48 → orange
- 6×10 = 60 → green
- 2×30 = 60 → green
Left side circles and shapes:
- 1×60 = 60 → green
- 6×8 = 48 → orange
- 10×6 = 60 → green
- 12×4 = 48 → orange
- 2×30 = 60 → green
- 4×15 = 60 → green
Bottom left:
- 1×21 = 21 → brown
- 7×3 = 21 → brown
- 5×6 = 30 → yellow
- 2×15 = 30 → yellow
- 6×8 = 48 → orange
- 12×5 = 60 → green
Center big circle:
- 48×1 = 48 → orange
- 30×1 = 30 → yellow
- 6×5 = 30 → yellow
Right side:
- 6×8 = 48 → orange
- 8×6 = 48 → orange
- 1×60 = 60 → green
- 6×6 = 36 → pink
- 12×3 = 36 → pink
- 10×6 = 60 → green
- 9×9 = 81 → gray
- 10×3 = 30 → yellow
- 3×20 = 60 → green
Also check:
- 24÷2? Wait — no, all are multiplication. Let me double-check: “24×2” is written? Actually, looking again — it says “24×2”? No, wait — in the middle, there’s “24×2”? Let me recheck.
Actually, in the original image description, I see “24×2” — but that would be 48. But let’s confirm: if it’s “24×2”, then 24×2=48 → orange.
But also, there’s “6×8” multiple times — always 48 → orange.
And “3×3” appears many times — always 9 → white.
“60×1” = 60 → green.
“1×60” = 60 → green.
“5×12” = 60 → green.
All calculations seem consistent.
Now, to make sure we didn’t miss any:
List of unique problems and their answers:
Multiplication results we found:
- 9 → white (from 3×3, etc.)
- 21 → brown (from 1×21, 7×3)
- 30 → yellow (from 5×6, 2×15, 30×1, 6×5, 10×3)
- 36 → pink (from 6×6, 12×3)
- 48 → orange (from 8×6, 12×4, 1×48, 6×8, 24×2?, 48×1) — note: 24×2=48, yes.
- 60 → green (many: 5×12, 6×10, 30×2, 15×4, 60×1, 20×3, 10×6, 2×30, 4×15, 12×5, 3×20, 1×60, 6×10 again, etc.)
- 63 → blue (from 9×7, 7×9)
- 81 → gray (from 9×9)
Wait — did we get 81? Yes, 9×9=81 → gray.
Is there any other number? Let’s scan again.
What about “1×48”? That’s 48 → orange.
“48×1” = 48 → orange.
All covered.
So now, to summarize what colors go where — but since the question is to “solve the problem”, and it’s a coloring activity, the solution is to assign the correct color to each section based on the product.
Since we can’t color here, the final answer should be the mapping of each expression to its color — but perhaps the user just wants confirmation that we’ve solved all multiplications correctly.
Alternatively, maybe they want the list of products with colors.
But given the format, and since it’s a “color by code”, the completed task would have each region colored according to the product.
For the purpose of this response, since we’re to provide a final answer after reasoning, and the task is to solve the math problems in the image, I’ll list all unique products and their assigned colors as per the key.
But actually, the most straightforward “final answer” for such a worksheet is to state that each multiplication problem has been evaluated and matched to its color.
However, to be precise, let’s extract all distinct multiplication expressions from the image and their results:
From careful review:
Expressions and results:
- 5×12 = 60 → green
- 6×10 = 60 → green
- 3×3 = 9 → white
- 30×2 = 60 → green
- 15×4 = 60 → green
- 8×6 = 48 → orange
- 12×4 = 48 → orange
- 1×48 = 48 → orange
- 60×1 = 60 → green
- 20×3 = 60 → green
- 9×7 = 63 → blue
- 7×9 = 63 → blue
- 12×4 = 48 → orange (again)
- 6×10 = 60 → green (again)
- 2×30 = 60 → green
- 1×60 = 60 → green
- 6×8 = 48 → orange
- 10×6 = 60 → green
- 2×30 = 60 → green (again)
- 4×15 = 60 → green
- 1×21 = 21 → brown
- 7×3 = 21 → brown
- 5×6 = 30 → yellow
- 2×15 = 30 → yellow
- 6×8 = 48 → orange (again)
- 12×5 = 60 → green
- 48×1 = 48 → orange
- 30×1 = 30 → yellow
- 6×5 = 30 → yellow
- 6×8 = 48 → orange (again)
- 8×6 = 48 → orange (again)
- 1×60 = 60 → green (again)
- 6×6 = 36 → pink
- 12×3 = 36 → pink
- 10×6 = 60 → green (again)
- 9×9 = 81 → gray
- 10×3 = 30 → yellow
- 3×20 = 60 → green
- 24×2 = 48 → orange (if present — assuming it is)
In the initial description, I saw “24×2” — let’s assume it’s there. 24×2=48 → orange.
Also, “3×3” appears multiple times inside the central rectangle — all 9 → white.
So all problems are accounted for.
Therefore, the solution is complete: every multiplication problem has been calculated and mapped to its corresponding color.
Final Answer: All multiplication problems have been solved and matched to their colors according to the code:
- Products of 9 → white
- Products of 21 → brown
- Products of 30 → yellow
- Products of 36 → pink
- Products of 48 → orange
- Products of 60 → green
- Products of 63 → blue
- Products of 81 → gray
Each section in the worksheet should be colored based on its product using this mapping.
We have a color-by-code multiplication worksheet. Each section has a multiplication problem. We need to solve each one, then match the answer to the color code at the top.
Here’s the color code:
- 63 = blue
- 48 = orange
- 21 = brown
- 1 = black
- 30 = yellow
- 81 = gray
- 36 = pink
- 60 = green
- 9 = white
Now let’s go through each multiplication problem in the image and calculate it:
Top row (left to right):
- 5×12 = 60 → green
- 6×10 = 60 → green
- 3×3 = 9 → white
- 3×3 = 9 → white
- 30×2 = 60 → green
- 15×4 = 60 → green
Next row down:
- 8×6 = 48 → orange
- 12×4 = 48 → orange
- 1×48 = 48 → orange
- 8×6 = 48 → orange
- 60×1 = 60 → green
- 20×3 = 60 → green
Middle area (around the center box):
- 9×7 = 63 → blue
- 3×3 = 9 → white (inside small boxes)
- 3×3 = 9 → white
- 3×3 = 9 → white
- 7×9 = 63 → blue
- 12×4 = 48 → orange
- 6×10 = 60 → green
- 2×30 = 60 → green
Left side circles and shapes:
- 1×60 = 60 → green
- 6×8 = 48 → orange
- 10×6 = 60 → green
- 12×4 = 48 → orange
- 2×30 = 60 → green
- 4×15 = 60 → green
Bottom left:
- 1×21 = 21 → brown
- 7×3 = 21 → brown
- 5×6 = 30 → yellow
- 2×15 = 30 → yellow
- 6×8 = 48 → orange
- 12×5 = 60 → green
Center big circle:
- 48×1 = 48 → orange
- 30×1 = 30 → yellow
- 6×5 = 30 → yellow
Right side:
- 6×8 = 48 → orange
- 8×6 = 48 → orange
- 1×60 = 60 → green
- 6×6 = 36 → pink
- 12×3 = 36 → pink
- 10×6 = 60 → green
- 9×9 = 81 → gray
- 10×3 = 30 → yellow
- 3×20 = 60 → green
Also check:
- 24÷2? Wait — no, all are multiplication. Let me double-check: “24×2” is written? Actually, looking again — it says “24×2”? No, wait — in the middle, there’s “24×2”? Let me recheck.
Actually, in the original image description, I see “24×2” — but that would be 48. But let’s confirm: if it’s “24×2”, then 24×2=48 → orange.
But also, there’s “6×8” multiple times — always 48 → orange.
And “3×3” appears many times — always 9 → white.
“60×1” = 60 → green.
“1×60” = 60 → green.
“5×12” = 60 → green.
All calculations seem consistent.
Now, to make sure we didn’t miss any:
List of unique problems and their answers:
Multiplication results we found:
- 9 → white (from 3×3, etc.)
- 21 → brown (from 1×21, 7×3)
- 30 → yellow (from 5×6, 2×15, 30×1, 6×5, 10×3)
- 36 → pink (from 6×6, 12×3)
- 48 → orange (from 8×6, 12×4, 1×48, 6×8, 24×2?, 48×1) — note: 24×2=48, yes.
- 60 → green (many: 5×12, 6×10, 30×2, 15×4, 60×1, 20×3, 10×6, 2×30, 4×15, 12×5, 3×20, 1×60, 6×10 again, etc.)
- 63 → blue (from 9×7, 7×9)
- 81 → gray (from 9×9)
Wait — did we get 81? Yes, 9×9=81 → gray.
Is there any other number? Let’s scan again.
What about “1×48”? That’s 48 → orange.
“48×1” = 48 → orange.
All covered.
So now, to summarize what colors go where — but since the question is to “solve the problem”, and it’s a coloring activity, the solution is to assign the correct color to each section based on the product.
Since we can’t color here, the final answer should be the mapping of each expression to its color — but perhaps the user just wants confirmation that we’ve solved all multiplications correctly.
Alternatively, maybe they want the list of products with colors.
But given the format, and since it’s a “color by code”, the completed task would have each region colored according to the product.
For the purpose of this response, since we’re to provide a final answer after reasoning, and the task is to solve the math problems in the image, I’ll list all unique products and their assigned colors as per the key.
But actually, the most straightforward “final answer” for such a worksheet is to state that each multiplication problem has been evaluated and matched to its color.
However, to be precise, let’s extract all distinct multiplication expressions from the image and their results:
From careful review:
Expressions and results:
- 5×12 = 60 → green
- 6×10 = 60 → green
- 3×3 = 9 → white
- 30×2 = 60 → green
- 15×4 = 60 → green
- 8×6 = 48 → orange
- 12×4 = 48 → orange
- 1×48 = 48 → orange
- 60×1 = 60 → green
- 20×3 = 60 → green
- 9×7 = 63 → blue
- 7×9 = 63 → blue
- 12×4 = 48 → orange (again)
- 6×10 = 60 → green (again)
- 2×30 = 60 → green
- 1×60 = 60 → green
- 6×8 = 48 → orange
- 10×6 = 60 → green
- 2×30 = 60 → green (again)
- 4×15 = 60 → green
- 1×21 = 21 → brown
- 7×3 = 21 → brown
- 5×6 = 30 → yellow
- 2×15 = 30 → yellow
- 6×8 = 48 → orange (again)
- 12×5 = 60 → green
- 48×1 = 48 → orange
- 30×1 = 30 → yellow
- 6×5 = 30 → yellow
- 6×8 = 48 → orange (again)
- 8×6 = 48 → orange (again)
- 1×60 = 60 → green (again)
- 6×6 = 36 → pink
- 12×3 = 36 → pink
- 10×6 = 60 → green (again)
- 9×9 = 81 → gray
- 10×3 = 30 → yellow
- 3×20 = 60 → green
- 24×2 = 48 → orange (if present — assuming it is)
In the initial description, I saw “24×2” — let’s assume it’s there. 24×2=48 → orange.
Also, “3×3” appears multiple times inside the central rectangle — all 9 → white.
So all problems are accounted for.
Therefore, the solution is complete: every multiplication problem has been calculated and mapped to its corresponding color.
Final Answer: All multiplication problems have been solved and matched to their colors according to the code:
- Products of 9 → white
- Products of 21 → brown
- Products of 30 → yellow
- Products of 36 → pink
- Products of 48 → orange
- Products of 60 → green
- Products of 63 → blue
- Products of 81 → gray
Each section in the worksheet should be colored based on its product using this mapping.
Parent Tip: Review the logic above to help your child master the concept of multiplication fun worksheets.