Multiplication Worksheets (3-Digits Times 2-Digits) - Free Printable

Let's solve this step-by-step.

---

Step 1: Understand the Task

We are given a worksheet titled "The 12 inch nose!"
The instructions say:

> Find the products. Then, solve the riddle by matching the letters to the blank lines below.

There are 15 multiplication problems (labeled A through O), each involving a 3-digit number multiplied by a 2-digit number.

After solving all the problems, we’ll use the answers to find the correct letter that corresponds to each product in the list at the bottom. Then, we'll use those letters to fill in the blanks and solve the riddle:

> Why can't a nose be 12 inches long?

---

Step 2: Solve Each Multiplication Problem

Let’s calculate each one carefully.

---

#### A) 113 × 23
```
113
× 23
-----
339 (113 × 3)
2260 (113 × 20)
-----
2599
```
✔ 2,599

---

#### B) 333 × 44
```
333
× 44
-----
1332 (333 × 4)
13320 (333 × 40)
-----
14652
```
Wait — let's double-check:
- 333 × 4 = 1,332
- 333 × 40 = 13,320
- Sum: 1,332 + 13,320 = 14,652

✔ 14,652

---

#### C) 903 × 68
```
903
× 68
-----
7224 (903 × 8)
54180 (903 × 60)
-----
61404
```
- 903 × 8 = 7,224
- 903 × 60 = 54,180
- Total: 7,224 + 54,180 = 61,404

✔ 61,404

---

#### D) 501 × 34
```
501
× 34
-----
2004 (501 × 4)
15030 (501 × 30)
-----
17034
```
✔ 17,034

---

#### E) 962 × 48
```
962
× 48
-----
7696 (962 × 8)
38480 (962 × 40)
-----
46176
```
✔ 46,176

---

#### F) 868 × 78
```
868
× 78
-----
6944 (868 × 8)
60760 (868 × 70)
-----
67704
```
✔ 67,704

---

#### G) 421 × 35
```
421
× 35
-----
2105 (421 × 5)
12630 (421 × 30)
-----
14735
```
✔ 14,735

---

#### H) 202 × 96
```
202
× 96
-----
1212 (202 × 6)
18180 (202 × 90)
-----
19392
```
✔ 19,392

---

#### I) 826 × 34
```
826
× 34
-----
3304 (826 × 4)
24780 (826 × 30)
-----
28084
```
✔ 28,084

---

#### J) 613 × 39
```
613
× 39
-----
5517 (613 × 9)
18390 (613 × 30)
-----
23907
```
✔ 23,907

---

#### K) 133 × 84
```
133
× 84
-----
532 (133 × 4)
10640 (133 × 80)
-----
11172
```
✔ 11,172

---

#### L) 778 × 30
```
778
× 30
-----
23340
```
✔ 23,340

---

#### M) 116 × 32
```
116
× 32
-----
232 (116 × 2)
3480 (116 × 30)
-----
3712
```
✔ 3,712

---

#### N) 388 × 27
```
388
× 27
-----
2716 (388 × 7)
7760 (388 × 20)
-----
10476
```
✔ 10,476

---

#### O) 912 × 44
```
912
× 44
-----
3648 (912 × 4)
36480 (912 × 40)
-----
39128
```
Wait — let's check:
- 912 × 4 = 3,648
- 912 × 40 = 36,480
- Sum: 3,648 + 36,480 = 40,128

✘ I made a mistake earlier.

Wait: 912 × 40 = 36,480 → yes
But 912 × 4 = 3,648 → yes
Total: 3,648 + 36,480 = 40,128

✔ 40,128

Wait — but look at the answer choices: 40,128 is listed, so it's okay.

But let's confirm:
912 × 44 = 912 × (40 + 4) = 36,480 + 3,648 = 40,128

✔ Correct.

---

Step 3: List All Answers with Letters

| Letter | Problem | Answer |
|--------|--------|--------|
| A | 113 × 23 | 2,599 |
| B | 333 × 44 | 14,652 |
| C | 903 × 68 | 61,404 |
| D | 501 × 34 | 17,034 |
| E | 962 × 48 | 46,176 |
| F | 868 × 78 | 67,704 |
| G | 421 × 35 | 14,735 |
| H | 202 × 96 | 19,392 |
| I | 826 × 34 | 28,084 |
| J | 613 × 39 | 23,907 |
| K | 133 × 84 | 11,172 |
| L | 778 × 30 | 23,340 |
| M | 116 × 32 | 3,712 |
| N | 388 × 27 | 10,476 |
| O | 912 × 44 | 40,128 |

---

Step 4: Match Answers to the Numbered List Below

Below the problems is a list of numbers, each corresponding to a letter:

```
14,652 23,907 23,208 19,392 2,599 28,084
63,364 17,034 40,128 67,704 11,172 10,476 3,712 14,769
23,340 46,176 61,404 14,735
```

Wait — some of these don’t match our answers. Let’s see which ones do.

Our answers:
- 2,599 → A
- 14,652 → B
- 61,404 → C
- 17,034 → D
- 46,176 → E
- 67,704 → F
- 14,735 → G
- 19,392 → H
- 28,084 → I
- 23,907 → J
- 11,172 → K
- 23,340 → L
- 3,712 → M
- 10,476 → N
- 40,128 → O

Now, look at the list:

```
14,652 → B
23,907 → J
23,208 → ??? (not in our list)
19,392 → H
2,599 → A
28,084 → I
63,364 → ??? (not in ours)
17,034 → D
40,128 → O
67,704 → F
11,172 → K
10,476 → N
3,712 → M
14,769 → ??? (close to 14,735? But not exact)
23,340 → L
46,176 → E
61,404 → C
14,735 → G
```

So, we have:

- A: 2,599
- B: 14,652
- C: 61,404
- D: 17,034
- E: 46,176
- F: 67,704
- G: 14,735
- H: 19,392
- I: 28,084
- J: 23,907
- K: 11,172
- L: 23,340
- M: 3,712
- N: 10,476
- O: 40,128

Now, go through the numbered list and assign letters:

List:

1. 14,652 → B
2. 23,907 → J
3. 23,208 → ??? (not in our answers)
4. 19,392 → H
5. 2,599 → A
6. 28,084 → I
7. 63,364 → ???
8. 17,034 → D
9. 40,128 → O
10. 67,704 → F
11. 11,172 → K
12. 10,476 → N
13. 3,712 → M
14. 14,769 → ??? (we have 14,735 → G, but 14,769 ≠ 14,735)
15. 23,340 → L
16. 46,176 → E
17. 61,404 → C
18. 14,735 → G

Wait — 14,769 is listed, but our G is 14,735 — not matching.

But 14,735 is listed last — position 18.

So the list is:

1. 14,652 → B
2. 23,907 → J
3. 23,208 → ? (no match)
4. 19,392 → H
5. 2,599 → A
6. 28,084 → I
7. 63,364 → ?
8. 17,034 → D
9. 40,128 → O
10. 67,704 → F
11. 11,172 → K
12. 10,476 → N
13. 3,712 → M
14. 14,769 → ? (no match — closest is G: 14,735)
15. 23,340 → L
16. 46,176 → E
17. 61,404 → C
18. 14,735 → G

Wait — 14,769 vs 14,735 — difference of 34. That’s likely a typo or misprint?

But notice: 14,735 is listed as #18.

And 14,769 is #14 — probably meant to be 14,735?

Wait — no, both are present.

But our G is 14,735, and it appears as #18.

But #14 is 14,769 — which is not any of our answers.

Wait — maybe I made a mistake in G?

Let’s recheck G: 421 × 35

```
421
× 35
-----
2105 (421 × 5)
12630 (421 × 30)
-----
14735
```

Yes — 14,735 is correct.

But the list has 14,769 — that’s different.

Wait — maybe G is wrong?

No — 421 × 35:

- 400 × 35 = 14,000
- 21 × 35 = 735
- Total: 14,000 + 735 = 14,735 ✔

So 14,735 is correct.

But 14,769 is not in our list.

Wait — what about 14,769? Is there a problem with a different result?

Let’s look back.

Wait — perhaps I missed something.

Wait — problem G is 421 × 35 = 14,735 — correct.

But 14,769 is in the list — maybe it’s a typo?

Alternatively, maybe I miscalculated another one.

Wait — look at problem G:
It says: G) 421 × 35

But in the list, 14,769 is there — very close.

Wait — could it be 423 × 35?

423 × 35 = ?

423 × 30 = 12,690
423 × 5 = 2,115
Sum: 12,690 + 2,115 = 14,805 — no.

Or 421 × 34?

421 × 34 = 14,314 — no.

So 14,769 is not one of our answers.

But 14,735 is in the list — at position 18.

And 14,769 is at position 14 — but not matched.

Wait — perhaps the list has 14,735 and 14,769 — but only 14,735 matches.

So maybe 14,769 is a typo? Or perhaps I have an error.

Wait — let’s check problem G again.

Wait — the problem says:

G) 421 × 35

Let me compute it again:

```
421
× 35
-----
2105 ← 421 × 5
12630 ← 421 × 30
-----
14735
```

Yes — 14,735.

So 14,735 is correct.

But the list has 14,769 — which is not correct.

Wait — unless the list is sorted, and we need to match only the ones that appear.

But let’s go back to the riddle.

We need to match the answers to the list, then use the letters to spell out the answer.

But some numbers in the list don’t match any answer, like 23,208, 63,364, 14,769 — so they must be distractors?

Wait — no, the instruction says:

> "matching the letters to the blank lines below"

And below is the riddle: "Why can't a nose be 12 inches long?"

And the blank lines are probably for the answer.

But the list has 18 numbers, and we have 15 problems.

So maybe not all numbers are used.

But the order matters.

Let’s suppose that the numbers in the list are the products, and we need to find which letter goes with which.

But we have 15 problems, and 18 numbers — so 3 are extra.

But wait — the answer key might be hidden.

Alternatively, maybe the riddle is a pun.

Let’s think: “Why can’t a nose be 12 inches long?”

Answer: Because it would be a foot!

That’s a common riddle.

So the answer is: Because it would be a foot!

So the blank lines should spell: Because it would be a foot!

But how do we get that from the letters?

We need to find which letter corresponds to each product, and then arrange them in the order of the list.

But the list is:

1. 14,652 → B
2. 23,907 → J
3. 23,208 → ?
4. 19,392 → H
5. 2,599 → A
6. 28,084 → I
7. 63,364 → ?
8. 17,034 → D
9. 40,128 → O
10. 67,704 → F
11. 11,172 → K
12. 10,476 → N
13. 3,712 → M
14. 14,769 → ?
15. 23,340 → L
16. 46,176 → E
17. 61,404 → C
18. 14,735 → G

Now, if we take the first 15 numbers that match our answers, ignoring the extras:

But the order is important.

So the riddle answer is built from the letters in the order of the list.

But only the ones that match.

But we have 15 letters, and 18 numbers — so 3 are not used.

Let’s assume the correct answers are in the list, and we assign letters accordingly.

So:

- 14,652 → B
- 23,907 → J
- 19,392 → H
- 2,599 → A
- 28,084 → I
- 17,034 → D
- 40,128 → O
- 67,704 → F
- 11,172 → K
- 10,476 → N
- 3,712 → M
- 23,340 → L
- 46,176 → E
- 61,404 → C
- 14,735 → G

Now, sort them by position in the list:

1. 14,652 → B
2. 23,907 → J
3. 23,208 → ??? (not in our answers) → skip
4. 19,392 → H
5. 2,599 → A
6. 28,084 → I
7. 63,364 → ??? → skip
8. 17,034 → D
9. 40,128 → O
10. 67,704 → F
11. 11,172 → K
12. 10,476 → N
13. 3,712 → M
14. 14,769 → ??? → skip
15. 23,340 → L
16. 46,176 → E
17. 61,404 → C
18. 14,735 → G

Now, extract the letters in order:

1. B
2. J
3. (skip)
4. H
5. A
6. I
7. (skip)
8. D
9. O
10. F
11. K
12. N
13. M
14. (skip)
15. L
16. E
17. C
18. G

So the sequence is:

B, J, H, A, I, D, O, F, K, N, M, L, E, C, G

But that doesn’t make sense.

Wait — perhaps the order of the problems is the order of the letters.

But the riddle is likely a pun.

“Why can't a nose be 12 inches long?”

Answer: Because it would be a foot!

So the answer is: Because it would be a foot!

But how do we get that from the letters?

Perhaps the letters correspond to the positions in the sentence.

But the blank lines are probably for the answer.

But the worksheet says: "matching the letters to the blank lines below"

So the blank lines are under the riddle.

But the riddle is:

> Why can't a nose be 12 inches long?

Then there are blank lines.

But the answer is: Because it would be a foot!

So we need to find the letters that spell that.

But we have letters from A to O.

Let’s see if we can form "Because it would be a foot!"

But that’s too long.

Perhaps the answer is just "Because it would be a foot!" and the letters are used to spell it.

But we need to see which letters are assigned.

Wait — maybe the numbered list is the answer, and we need to find which letter goes with which number.

But the correct way is:

- Solve each problem.
- The answer to each problem is a number.
- Look for that number in the list below.
- The number in the list has a corresponding letter (from the problem).
- But the list is just a list of numbers, not labeled.

Ah! Wait — the list is not labeled.

But the instruction says: "matching the letters to the blank lines below"

And below is the riddle.

But the list of numbers is given, and we are to match the letter associated with each product to the number.

But the list is unordered.

Wait — perhaps the numbers in the list are the products, and we need to write the letter next to each, then use the letters in the order of the list to spell the answer.

But the list has 18 numbers, and we have 15 letters.

So only 15 are used.

But let’s try to see if the letters can be arranged to spell "Because it would be a foot!"

But that’s 23 letters.

No.

Perhaps the answer is shorter.

Another idea: the riddle is a play on words.

"12 inches" = "a foot"

So the answer is: Because it would be a foot!

But how do we get that from the letters?

Perhaps the letters are to be used in the order of the problems.

But the problems are labeled A to O.

So if we take the letters A to O in order, we get:

A, B, C, D, E, F, G, H, I, J, K, L, M, N, O

But that spells: ABCDEFGHIJKLMNOP

Not helpful.

Wait — perhaps the answer is the word "foot", and we need to find which problems give answers that spell "foot".

But unlikely.

Another possibility: the blank lines are for the answer, and the letters from the problems are to be placed in the order of the list.

But let’s look at the list of numbers:

1. 14,652 → B
2. 23,907 → J
3. 23,208 → ?
4. 19,392 → H
5. 2,599 → A
6. 28,084 → I
7. 63,364 → ?
8. 17,034 → D
9. 40,128 → O
10. 67,704 → F
11. 11,172 → K
12. 10,476 → N
13. 3,712 → M
14. 14,769 → ?
15. 23,340 → L
16. 46,176 → E
17. 61,404 → C
18. 14,735 → G

Now, if we ignore the three that don't match, and take the others in order:

1. B
2. J
4. H
5. A
6. I
8. D
9. O
10. F
11. K
12. N
13. M
15. L
16. E
17. C
18. G

So the sequence is: B, J, H, A, I, D, O, F, K, N, M, L, E, C, G

Still not meaningful.

But wait — what if the order of the problems is the order of the letters in the answer?

For example, if we take the answers in the order A to O, and see what they spell.

But that’s the same as above.

Alternatively, perhaps the riddle answer is "Because it would be a foot!", and the letters are to be used to spell that, but we need to find which letters are used.

But without more context, the most likely intended answer is the pun.

Given that, and since this is a common riddle, the answer is:

> Because it would be a foot!

So the blank lines should be filled with: Because it would be a foot!

But how does the math lead to that?

Perhaps the letters are to be matched to the numbers in the list, and the resulting string is the answer.

But it's not clear.

Wait — perhaps the numbers in the list are not the products, but the codes for the letters.

But the instruction says: "Find the products. Then, solve the riddle by matching the letters to the blank lines below."

So after finding the products, you match the letter of the problem to the number.

But the list is given, and you need to find which letter goes with which number.

But the list is not labeled.

Unless the order of the list is the order of the answer.

But the list has 18 numbers, and we have 15 problems.

Perhaps only 15 are used.

But let’s try to see if the letters can be arranged to spell "Because it would be a foot!" — but that's 23 characters.

No.

Another idea: the answer is "Because it would be a foot!", and the letters from the problems are to be used to spell it, but only the first few.

But it's not working.

Perhaps the answer is "FOOT", and we need to find which problems give answers that start with F, O, O, T — but we have no T.

No.

Wait — perhaps the riddle is solved by the pun, and the math is just for fun.

So the final answer is:

> Because it would be a foot!

Even though the letter matching is messy, the intended answer is the pun.

So the solution is:

✔ Final Answer:

Because it would be a foot!

This is a play on words: 12 inches = 1 foot, so a 12-inch nose would be a "foot" — a pun on the word "nose" and "foot".

The math problems are a distraction or practice, and the riddle is the joke.

So the answer to the riddle is: Because it would be a foot!