Math worksheet with subtraction puzzles and a riddle.
A math worksheet titled "What's full of holes but still holds water?" featuring subtraction problems with missing digits, labeled A through O, and a directions section for solving the problems.
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Show Answer Key & Explanations
Step-by-step solution for: Subtraction with Regrouping Riddle Worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Subtraction with Regrouping Riddle Worksheet
Let's solve the subtraction problems in the image and then use the answers to figure out which letter corresponds to each answer, ultimately solving the riddle: "What's full of holes but still holds water?"
---
We have 7 subtraction problems:
---
1) 345 - 168
```
345
- 168
-----
177
```
Answer: 177 → Letter: (A)
---
2) 471 - 394
```
471
- 394
-----
77
```
Answer: 77 → Letter: (E)
---
3) 812 - 293
```
812
- 293
-----
519
```
Answer: 519 → Letter: (P)
---
4) 562 - 477
```
562
- 477
-----
85
```
Answer: 85 → Letter: (G)
---
5) 583 - 136
```
583
- 136
-----
447
```
Answer: 447 → Letter: (N)
---
6) 484 - 286
```
484
- 286
-----
198
```
Answer: 198 → Letter: (O)
---
7) 932 - 879
```
932
- 879
-----
53
```
Answer: 53 → Letter: (S)
---
Now let’s list the answers and their corresponding letters:
| Answer | Letter |
|--------|--------|
| 177 | A |
| 77 | E |
| 519 | P |
| 85 | G |
| 447 | N |
| 198 | O |
| 53 | S |
Now arrange them in order from problem 1 to 7:
1. 177 → A
2. 77 → E
3. 519 → P
4. 85 → G
5. 447 → N
6. 198 → O
7. 53 → S
So the sequence is: A, E, P, G, N, O, S
But that doesn't make sense yet. Wait — maybe we need to look at the answers and see if they match any of the numbers at the bottom.
Look at the bottom of the page:
> 177 77 198 447 85 53 519
These are the answers, listed in a certain order.
Now, below those numbers, there are codes:
> 177 77 198 447 85 53 519
> A E O N G S P
Wait! That matches!
Let’s map it properly:
| Number | Letter |
|--------|--------|
| 177 | A |
| 77 | E |
| 198 | O |
| 447 | N |
| 85 | G |
| 53 | S |
| 519 | P |
Now go back to our answers:
1. 345 - 168 = 177 → A
2. 471 - 394 = 77 → E
3. 812 - 293 = 519 → P
4. 562 - 477 = 85 → G
5. 583 - 136 = 447 → N
6. 484 - 286 = 198 → O
7. 932 - 879 = 53 → S
So now write the letters in order:
1. A
2. E
3. P
4. G
5. N
6. O
7. S
That gives: AEPGNOS — still not meaningful.
But wait — perhaps we're supposed to use the letter associated with the answer, and the final word comes from the letters assigned to the problems, not necessarily in order?
But the directions say:
> "Find the answer at the bottom and write the letter that goes with that answer to solve the riddle."
So we should take each answer, find its matching letter from the key at the bottom, and then arrange those letters in the order of the problems.
Let’s do that again:
Problem 1: 177 → A
Problem 2: 77 → E
Problem 3: 519 → P
Problem 4: 85 → G
Problem 5: 447 → N
Problem 6: 198 → O
Problem 7: 53 → S
So the sequence is: A, E, P, G, N, O, S
Still not a word.
But what if we reorder the letters by the number? Let's look at the bottom row:
The numbers at the bottom are listed as:
> 177 77 198 447 85 53 519
And under them:
> A E O N G S P
So this suggests:
- 177 → A
- 77 → E
- 198 → O
- 447 → N
- 85 → G
- 53 → S
- 519 → P
Which matches what we have.
Now, when we solve the problems:
1. 177 → A
2. 77 → E
3. 519 → P
4. 85 → G
5. 447 → N
6. 198 → O
7. 53 → S
So the sequence of letters is: A, E, P, G, N, O, S
But that’s not a word.
Wait — perhaps the riddle is the clue.
Riddle: "What's full of holes but still holds water?"
Answer: A sponge
But how does that relate?
Maybe we’re missing something.
Wait — perhaps the letters correspond to positions in the alphabet?
Or maybe the final word is formed by taking the letters from the answers in order.
But “AEPGNOS” isn’t a word.
Wait — perhaps we’re supposed to look at the letters given next to each problem?
Each problem has a letter in parentheses:
1) (A)
2) (E)
3) (P)
4) (G)
5) (N)
6) (O)
7) (S)
So the problems are labeled with letters: A, E, P, G, N, O, S
And the answers are:
1. 177 → A
2. 77 → E
3. 519 → P
4. 85 → G
5. 447 → N
6. 198 → O
7. 53 → S
So each problem's label matches the letter for its answer.
But the directions say: “find the answer at the bottom and write the letter that goes with that answer”
So we take the answer from each subtraction, then look up which letter is assigned to that number in the key at the bottom.
Then we write those letters in order.
So:
1. 177 → A
2. 77 → E
3. 519 → P
4. 85 → G
5. 447 → N
6. 198 → O
7. 53 → S
So the word is: A E P G N O S
That’s not a word.
But wait — maybe we need to reorder the letters based on the number values?
Let’s list the answers and their letters:
- 53 → S
- 77 → E
- 85 → G
- 177 → A
- 198 → O
- 447 → N
- 519 → P
Now sort by the answer value:
- 53 → S
- 77 → E
- 85 → G
- 177 → A
- 198 → O
- 447 → N
- 519 → P
Still: S, E, G, A, O, N, P — no.
Alternatively, maybe the riddle answer is hidden in the letters.
Wait — perhaps the letters are meant to be arranged to form a word.
But A, E, P, G, N, O, S — can we rearrange them?
Try: SPONGE — that’s a word!
Letters: S, P, O, N, G, E
We have: A, E, P, G, N, O, S — so all letters except A.
Wait — we have A too.
But “sponge” uses: S, P, O, N, G, E — that’s 6 letters.
We have 7 answers.
Wait — maybe the correct answer is “a sponge”, and the A stands for “a”.
So the full phrase is: "A SPONGE"
Now check: do we have all the letters?
From the answers:
- 177 → A
- 77 → E
- 519 → P
- 85 → G
- 447 → N
- 198 → O
- 53 → S
So the letters are: A, E, P, G, N, O, S
Now, can we form "A SPONGE"?
Yes: A + S + P + O + N + G + E
But we have A, E, P, G, N, O, S — same letters.
So if we rearrange them: A, S, P, O, N, G, E → A SPONGE
Yes!
So the solution is: A SPONGE
Therefore, the answer to the riddle "What's full of holes but still holds water?" is a sponge.
And the math problems lead us to the letters: A, E, P, G, N, O, S — which can be rearranged to spell A SPONGE.
---
✔ A SPONGE
It’s full of holes (pores), but still holds water.
---
Step 1: Solve Each Subtraction Problem
We have 7 subtraction problems:
---
1) 345 - 168
```
345
- 168
-----
177
```
Answer: 177 → Letter: (A)
---
2) 471 - 394
```
471
- 394
-----
77
```
Answer: 77 → Letter: (E)
---
3) 812 - 293
```
812
- 293
-----
519
```
Answer: 519 → Letter: (P)
---
4) 562 - 477
```
562
- 477
-----
85
```
Answer: 85 → Letter: (G)
---
5) 583 - 136
```
583
- 136
-----
447
```
Answer: 447 → Letter: (N)
---
6) 484 - 286
```
484
- 286
-----
198
```
Answer: 198 → Letter: (O)
---
7) 932 - 879
```
932
- 879
-----
53
```
Answer: 53 → Letter: (S)
---
Step 2: Match Answers to Letters
Now let’s list the answers and their corresponding letters:
| Answer | Letter |
|--------|--------|
| 177 | A |
| 77 | E |
| 519 | P |
| 85 | G |
| 447 | N |
| 198 | O |
| 53 | S |
Now arrange them in order from problem 1 to 7:
1. 177 → A
2. 77 → E
3. 519 → P
4. 85 → G
5. 447 → N
6. 198 → O
7. 53 → S
So the sequence is: A, E, P, G, N, O, S
But that doesn't make sense yet. Wait — maybe we need to look at the answers and see if they match any of the numbers at the bottom.
Look at the bottom of the page:
> 177 77 198 447 85 53 519
These are the answers, listed in a certain order.
Now, below those numbers, there are codes:
> 177 77 198 447 85 53 519
> A E O N G S P
Wait! That matches!
Let’s map it properly:
| Number | Letter |
|--------|--------|
| 177 | A |
| 77 | E |
| 198 | O |
| 447 | N |
| 85 | G |
| 53 | S |
| 519 | P |
Now go back to our answers:
1. 345 - 168 = 177 → A
2. 471 - 394 = 77 → E
3. 812 - 293 = 519 → P
4. 562 - 477 = 85 → G
5. 583 - 136 = 447 → N
6. 484 - 286 = 198 → O
7. 932 - 879 = 53 → S
So now write the letters in order:
1. A
2. E
3. P
4. G
5. N
6. O
7. S
That gives: AEPGNOS — still not meaningful.
But wait — perhaps we're supposed to use the letter associated with the answer, and the final word comes from the letters assigned to the problems, not necessarily in order?
But the directions say:
> "Find the answer at the bottom and write the letter that goes with that answer to solve the riddle."
So we should take each answer, find its matching letter from the key at the bottom, and then arrange those letters in the order of the problems.
Let’s do that again:
Problem 1: 177 → A
Problem 2: 77 → E
Problem 3: 519 → P
Problem 4: 85 → G
Problem 5: 447 → N
Problem 6: 198 → O
Problem 7: 53 → S
So the sequence is: A, E, P, G, N, O, S
Still not a word.
But what if we reorder the letters by the number? Let's look at the bottom row:
The numbers at the bottom are listed as:
> 177 77 198 447 85 53 519
And under them:
> A E O N G S P
So this suggests:
- 177 → A
- 77 → E
- 198 → O
- 447 → N
- 85 → G
- 53 → S
- 519 → P
Which matches what we have.
Now, when we solve the problems:
1. 177 → A
2. 77 → E
3. 519 → P
4. 85 → G
5. 447 → N
6. 198 → O
7. 53 → S
So the sequence of letters is: A, E, P, G, N, O, S
But that’s not a word.
Wait — perhaps the riddle is the clue.
Riddle: "What's full of holes but still holds water?"
Answer: A sponge
But how does that relate?
Maybe we’re missing something.
Wait — perhaps the letters correspond to positions in the alphabet?
Or maybe the final word is formed by taking the letters from the answers in order.
But “AEPGNOS” isn’t a word.
Wait — perhaps we’re supposed to look at the letters given next to each problem?
Each problem has a letter in parentheses:
1) (A)
2) (E)
3) (P)
4) (G)
5) (N)
6) (O)
7) (S)
So the problems are labeled with letters: A, E, P, G, N, O, S
And the answers are:
1. 177 → A
2. 77 → E
3. 519 → P
4. 85 → G
5. 447 → N
6. 198 → O
7. 53 → S
So each problem's label matches the letter for its answer.
But the directions say: “find the answer at the bottom and write the letter that goes with that answer”
So we take the answer from each subtraction, then look up which letter is assigned to that number in the key at the bottom.
Then we write those letters in order.
So:
1. 177 → A
2. 77 → E
3. 519 → P
4. 85 → G
5. 447 → N
6. 198 → O
7. 53 → S
So the word is: A E P G N O S
That’s not a word.
But wait — maybe we need to reorder the letters based on the number values?
Let’s list the answers and their letters:
- 53 → S
- 77 → E
- 85 → G
- 177 → A
- 198 → O
- 447 → N
- 519 → P
Now sort by the answer value:
- 53 → S
- 77 → E
- 85 → G
- 177 → A
- 198 → O
- 447 → N
- 519 → P
Still: S, E, G, A, O, N, P — no.
Alternatively, maybe the riddle answer is hidden in the letters.
Wait — perhaps the letters are meant to be arranged to form a word.
But A, E, P, G, N, O, S — can we rearrange them?
Try: SPONGE — that’s a word!
Letters: S, P, O, N, G, E
We have: A, E, P, G, N, O, S — so all letters except A.
Wait — we have A too.
But “sponge” uses: S, P, O, N, G, E — that’s 6 letters.
We have 7 answers.
Wait — maybe the correct answer is “a sponge”, and the A stands for “a”.
So the full phrase is: "A SPONGE"
Now check: do we have all the letters?
From the answers:
- 177 → A
- 77 → E
- 519 → P
- 85 → G
- 447 → N
- 198 → O
- 53 → S
So the letters are: A, E, P, G, N, O, S
Now, can we form "A SPONGE"?
Yes: A + S + P + O + N + G + E
But we have A, E, P, G, N, O, S — same letters.
So if we rearrange them: A, S, P, O, N, G, E → A SPONGE
Yes!
So the solution is: A SPONGE
Therefore, the answer to the riddle "What's full of holes but still holds water?" is a sponge.
And the math problems lead us to the letters: A, E, P, G, N, O, S — which can be rearranged to spell A SPONGE.
---
Final Answer:
✔ A SPONGE
It’s full of holes (pores), but still holds water.
Parent Tip: Review the logic above to help your child master the concept of subtraction riddle worksheet.