Math puzzle worksheet for students to solve number-based riddles.

Let’s solve each puzzle one by one. We’ll read the clues carefully and use logic to find the number.

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Puzzle 1 (already solved as example):
*Clue:* I am a number between 20 and 30. If you count by fives, you will say my name. Who am I?
→ Numbers between 20 and 30: 21, 22, 23, 24, 25, 26, 27, 28, 29
→ Counting by fives: 5, 10, 15, 20, 25, 30 → So 25 is in that list.
✔ Answer: 25 (given)

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Puzzle 2:
*I am an even number. I am between 6 and 9. Who am I?*
→ Even numbers: divisible by 2 → 6, 8, 10...
→ Between 6 and 9: so greater than 6, less than 9 → only 7 and 8 are in between.
→ But it must be even → 8 is even, 7 is odd.
✔ Answer: 8

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Puzzle 3:
*7 + 7 is less than I am. 7 + 9 is greater than I am. Who am I?*
→ 7 + 7 = 14 → So I am > 14
→ 7 + 9 = 16 → So I am < 16
→ Number between 14 and 16 → only 15
✔ Answer: 15

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Puzzle 4:
*I am a number less than 13. If you add me to myself, you get more than twenty. Who am I?*
→ “Add me to myself” means: x + x = 2x
→ 2x > 20 → so x > 10
→ Also, x < 13
→ So possible numbers: 11, 12
Check:
- 11 + 11 = 22 → which is > 20 ✔
- 12 + 12 = 24 → also > 20 ✔
But wait — the clue says “I am a number”, implying one answer. Let’s re-read:
It doesn’t say “only one”, but usually these puzzles expect one answer.
Is there any other constraint? No. But let’s see if both fit.
Actually, maybe we missed something. The problem says “you get more than twenty” — both 22 and 24 are more than 20.
But perhaps the puzzle expects the smallest such number? Or maybe we need to pick one.
Wait — let’s think again. Maybe the puzzle has only one correct answer based on typical grade-level expectations.
In many such puzzles, they expect the number that fits all clues uniquely. Here, both 11 and 12 fit.
But let’s check the next clue for pattern — no, this is standalone.
Perhaps we made a mistake. Let’s reread:
“I am a number less than 13. If you add me to myself, you get more than twenty.”
So:
x < 13
2x > 20 → x > 10
So x = 11 or 12.
But maybe the puzzle intends for us to realize that 11 is the first number that satisfies it? Or perhaps there’s a typo?
Wait — let’s look at the original image text again (from your description). It says:
“I am a number less than 13. If you add me to myself, you get more than twenty. Who am I?”
Hmm. In some versions of this puzzle, it might say “exactly twenty-two” or something, but here it says “more than twenty”.
Since both 11 and 12 work, but typically in such worksheets, they expect one answer. Let’s assume they want the smallest one that works — 11.
Alternatively, maybe I misread. Let me double-check calculation:
If x=11 → 11+11=22>20 ✔
If x=12 → 12+12=24>20 ✔
But perhaps the puzzle has a unique answer if we consider integer constraints — still two answers.
Wait — maybe the puzzle is from a context where only one answer is expected, and 11 is the intended answer because it’s the lower bound.
I’ll go with 11 as the most likely intended answer, since 12 might be too obvious or not the "trick" answer.
Actually, let’s think differently: maybe “add me to myself” could be misinterpreted, but no, it’s clear.
Another thought: perhaps the puzzle meant “if you add me to myself, you get twenty-two” — but it doesn’t say that.
Given the ambiguity, but since this is for a student, and often such puzzles have one answer, I’ll choose 11 as it’s the smallest number satisfying the condition.
✔ Final decision: 11

*(Note: If the teacher accepts 12, that’s also mathematically correct, but 11 is safer as the minimal solution.)*

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Puzzle 5:
*10 – 12 is less than I am. 16 + 0 is greater than I am. Who am I?*
→ 10 - 12 = -2 → So I am > -2
→ 16 + 0 = 16 → So I am < 16
→ So I am a number greater than -2 and less than 16.
That’s a huge range! From -1 up to 15.
But the puzzle says “Who am I?” implying one answer.
This can’t be right — unless we missed something.
Re-read: “10 – 12 is less than I am” → yes, -2 < x
“16 + 0 is greater than I am” → 16 > x
So x is between -2 and 16, not including endpoints.
But that’s too broad. Perhaps it’s a trick? Or maybe it’s expecting a specific number?
Wait — maybe it’s a typo, and it’s supposed to be “10 + 12” or something else?
But as written, it’s 10 - 12 = -2.
Perhaps in the context of the worksheet, all answers are positive integers? That makes sense for elementary level.
So assume x is a positive integer. Then x > -2 is always true for positive integers, and x < 16.
Still too many: 1 through 15.
But the puzzle must have one answer. Let’s look back at the original problem statement in the image.
You wrote: “10 – 12 is less than I am. 16 + 0 is greater than I am.”
Perhaps it’s “10 minus 12” meaning the result is less than me, which is -2 < x, and 16 > x.
Maybe the puzzle is designed to have multiple possibilities, but that seems unlikely.
Another idea: perhaps “10 – 12” is meant to be interpreted as absolute value? But no, it doesn’t say that.
Or maybe it’s a subtraction error — perhaps it’s 12 - 10? Let’s try that:
If it were 12 - 10 = 2, then 2 < x < 16, still many numbers.
If it were 10 + 12 = 22, then 22 < x < 16 — impossible.
Perhaps it’s “10 times 12”? No, it says “–”.
I think there might be a mistake in the puzzle, but since we have to solve it, and given that other puzzles have single answers, perhaps we should assume it’s looking for a number like 10 or something.
Wait — let’s calculate numerically:
-2 < x < 16
If we assume x is an integer, and perhaps the puzzle expects the middle number or something.
But that’s guessing.
Another thought: in some contexts, “less than I am” might be misread, but no.
Perhaps the puzzle is: “10 minus 12 is less than I am” — which is true for any x > -2, and “16 plus 0 is greater than I am” — x < 16.
To have a single answer, maybe it’s implied that x is a whole number and perhaps the only number that makes sense in context — but there’s no context.
Let’s skip and come back. Maybe later puzzles give a hint.
For now, I’ll assume it’s a typo and it’s supposed to be “12 - 10 = 2” and “16 - 0 = 16”, so 2 < x < 16, and perhaps they want 10 or 8, but that’s arbitrary.
Perhaps it’s “10 + 12 = 22 is less than I am” — but that would be x > 22 and x < 16, impossible.
I think the most reasonable assumption is that it’s 10 - 12 = -2, and since the worksheet is for young students, they probably mean positive integers, and perhaps the answer is 10, as a common number.
But that’s not rigorous.
Let’s look at the next puzzle for comparison.
Puzzle 6: “I am a number between 7 and 12. If you subtract three by threes, you will say my name. Who am I?”
“Subtract three by threes” — probably means counting down by 3s or multiples of 3.
Between 7 and 12: 8,9,10,11
Multiples of 3: 3,6,9,12 — so 9 is in between 7 and 12.
So answer is 9.
Back to puzzle 5. Perhaps “10 – 12” is a red herring, but I think we have to accept that x is between -2 and 16.
Since the other answers are small integers, and to match the style, perhaps the intended answer is 10.
Or maybe 8.
Another idea: “10 – 12” might be interpreted as the difference, but still.
I recall that in some puzzles, “A is less than B” means A < B, so here -2 < x and x < 16.
Perhaps the puzzle is to realize that any number in that range works, but that can't be for a fill-in-the-blank.
Let’s check online or standard puzzles — but since I can't, I'll make an educated guess.
Perhaps it's "10 minus 12" equals -2, and "16 plus 0" equals 16, and they want the number that is exactly in the middle or something. Middle of -2 and 16 is 7.
7 is a nice number. Let's try 7:
-2 < 7 < 16 — yes.
And 7 is used in other puzzles.
Perhaps it's 14, but 14<16, -2<14.
I think I need to move on. For the sake of completing, I'll put 10 as a placeholder, but I'm not confident.
Wait — let's read the clue again: "10 – 12 is less than I am. 16 + 0 is greater than I am."
Perhaps "10 – 12" is meant to be "ten minus twelve", which is -2, and "sixteen plus zero" is 16, so x > -2 and x < 16.
In the context of the worksheet, all other answers are positive integers less than 20, so perhaps they expect 15 or 14.
But let's see the last few puzzles.
Puzzle 7: "I am an odd number. I am between 41 and 44. Who am I?" — that's easy, 43.
Puzzle 8: "If you subtract me from 14, you will find a number greater than 11. I am an odd number. Who am I?" — let's solve that later.
For puzzle 5, I think there might be a typo, and it's supposed to be "12 - 10 = 2" and "16 - 0 = 16", so 2 < x < 16, and perhaps they want 10.
Or maybe "10 + 12 = 22" but then 22 < x < 16 is impossible.
Another possibility: "10 – 12" might be "10 times 12" but that's 120, too big.
I think I have to go with 10 as a reasonable guess.
✔ Answer: 10 (with reservation)

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Puzzle 6:
*I am a number between 7 and 12. If you subtract three by threes, you will say my name. Who am I?*
→ "Subtract three by threes" likely means counting down by 3s or listing multiples of 3.
→ Between 7 and 12: numbers are 8,9,10,11
→ Multiples of 3: 3,6,9,12 — so 9 is in the range.
→ Also, if you start from 12 and subtract 3: 12,9,6,... so 9 is said.
✔ Answer: 9

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Puzzle 7:
*I am an odd number. I am between 41 and 44. Who am I?*
→ Between 41 and 44: 42,43
→ Odd number: 43 (since 42 is even)
✔ Answer: 43

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Puzzle 8:
*If you subtract me from 14, you will find a number greater than 11. I am an odd number. Who am I?*
→ Let x be the number.
→ 14 - x > 11
→ Subtract 14 from both sides: -x > -3
→ Multiply by -1 (reverse inequality): x < 3
→ Also, x is odd.
→ Odd numbers less than 3: 1, -1, -3, ... but since it's a school puzzle, likely positive.
→ So x = 1 (since 1 is odd and <3)
Check: 14 - 1 = 13 > 11 ✔
Is there another? 3 is not less than 3, so no.
What about negative? Probably not intended.
✔ Answer: 1

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Puzzle 9:
*If you add 8 to me, you will find a number less than 20. If you count by twos, you will say my name. Who am I?*
→ Let x be the number.
→ x + 8 < 20 → x < 12
→ "Count by twos" means even number (since counting by 2s: 2,4,6,8,...)
→ So x is even and x < 12
→ Possible even numbers: 2,4,6,8,10
→ But the puzzle says "you will say my name" when counting by twos, which all even numbers are included.
→ However, it doesn't specify which one, so perhaps any, but likely they want a specific one.
→ Re-read: "If you add 8 to me, you will find a number less than 20" — so x+8<20, x<12
"And if you count by twos, you will say my name" — so x is even.
Still many choices.
Perhaps "count by twos" means that x is a multiple of 2, which it is.
But maybe they imply that x itself is said when counting by twos, which is true for all even numbers.
Perhaps there's a missing constraint.
Another interpretation: "if you count by twos, you will say my name" might mean that x is in the sequence of counting by 2s starting from 0 or 2.
Still, all even numbers are in it.
Perhaps the puzzle is to realize that x must be such that x+8 is also even or something, but not specified.
Let's assume they want the largest possible or smallest.
But let's see the answer format — probably one answer.
Perhaps "count by twos" means that x is 2,4,6,etc., and combined with x<12, and perhaps from context, but no.
Another idea: "you will find a number less than 20" — x+8<20, so x<12, and x even.
But also, perhaps "find a number" implies that x+8 is a specific number, but it doesn't say.
I think we need to pick one. Let's take x=10: 10+8=18<20, and 10 is even.
x=2: 2+8=10<20, also good.
But perhaps the puzzle has a unique answer if we consider that "count by twos" might mean something else.
In some contexts, "count by twos" could mean the number is obtained by adding 2 repeatedly, but still.
Perhaps it's related to the previous puzzle.
Let's calculate: if x is even and x<12, and no other constraint, then any even number from 2 to 10 works.
But to have one answer, perhaps they want 10, as it's close to 12.
Or 2.
Let's look at the last puzzle.
Puzzle 10: "If you add me to 7, you will find an odd number. I am less than 7. Who am I?"
Solve that first.
14 - x > 11 led to x<3, odd, so x=1.
For puzzle 9, perhaps similarly, they expect a specific number.
Another thought: "if you count by twos, you will say my name" might mean that x is a number that appears when counting by 2s from 0, which is all even numbers, but perhaps they mean that x is 2 itself or something.
I recall that in some puzzles, "count by twos" implies the number is even, and combined with x<12, and perhaps the answer is 10, as it's common.
But let's try to see if there's a number that makes x+8 also have a property, but not specified.
Perhaps "find a number less than 20" and "count by twos" , and maybe x+8 is also even, which it is if x is even.
I think I have to choose. Let's pick 10 as a representative.
But let's check if there's a better way.
Suppose x=10: 10+8=18<20, and 10 is even — good.
x=8: 8+8=16<20, also good.
x=6: 14<20, good.
All work.
Perhaps the puzzle is missing a clue, but in the interest of time, I'll go with 10.
✔ Answer: 10 (assumed)

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Puzzle 10:
*If you add me to 7, you will find an odd number. I am less than 7. Who am I?*
→ Let x be the number.
→ 7 + x is odd.
→ 7 is odd, so odd + x = odd → x must be even (because odd + even = odd)
→ Also, x < 7
→ So x is even and less than 7: possible values: 0,2,4,6
→ All of these: 7+0=7 odd, 7+2=9 odd, 7+4=11 odd, 7+6=13 odd — all work.
→ Again, multiple answers.
→ But the puzzle says "Who am I?" implying one.
→ Perhaps they want the largest, or smallest.
→ In many such puzzles, they might expect 6, as it's close to 7.
→ Or 0, but 0 might not be considered.
→ Let's see the context. Previous puzzles had single answers.
→ Perhaps "find an odd number" and "I am less than 7", and maybe they imply positive, so 2,4,6.
→ Still three choices.
→ Another idea: "you will find an odd number" might mean that the result is a specific odd number, but not specified.
→ Perhaps in the worksheet, it's designed to have 6 as answer.
→ Let's assume x=6: 7+6=13, which is odd, and 6<7.
→ Similarly, x=4: 11, also good.
→ To have one answer, perhaps they want the maximum possible, which is 6.
✔ Answer: 6

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Now, summarizing all answers:

1. 25 (given)
2. 8
3. 15
4. 11 (chosen as smallest satisfying)
5. 10 (guessed due to ambiguity)
6. 9
7. 43
8. 1
9. 10 (guessed)
10. 6 (chosen as largest even less than 7)

For puzzle 5 and 9, I'm not fully confident, but based on typical worksheet design, these are reasonable.

Let me double-check puzzle 4: "I am a number less than 13. If you add me to myself, you get more than twenty."
x < 13, 2x > 20 → x > 10, so x=11 or 12.
If the puzzle allows only one answer, and since 11 is smaller, and often puzzles use the boundary, I'll keep 11.
Some might argue 12, but 11 is fine.

For puzzle 5: "10 – 12 is less than I am" → -2 < x, "16 + 0 is greater than I am" → x < 16.
If we assume x is a positive integer, and perhaps the puzzle intends for x to be 10, as it's mentioned in the clue, but that's weak.
Another interpretation: "10 – 12" might be "ten minus twelve" = -2, and "sixteen plus zero" = 16, and they want the number that is 10, but why?
Perhaps it's a trick, and x=14, but 14<16, -2<14.
I think for consistency, I'll leave it as 10.

Similarly for puzzle 9, x=10 is fine.

So final answers:

2. 8
3. 15
4. 11
5. 10
6. 9
7. 43
8. 1
9. 10
10. 6

Now, to present them in order as per the worksheet.

The worksheet has:

After the example, it says "Read the clues and solve each puzzle." and lists:

1. I am an even number... → this is puzzle 2 above → answer 8

2. 7 + 7 is less than I am... → puzzle 3 → 15

3. I am a number less than 13... → puzzle 4 → 11

4. 10 – 12 is less than I am... → puzzle 5 → 10

5. I am a number between 7 and 12... → puzzle 6 → 9

6. I am an odd number... between 41 and 44 → puzzle 7 → 43

7. If you subtract me from 14... → puzzle 8 → 1

8. If you add 8 to me... → puzzle 9 → 10

9. If you add me to 7... → puzzle 10 → 6

So the answers in order are: 8, 15, 11, 10, 9, 43, 1, 10, 6

But let's write them as per the blanks in the worksheet.

Since the user didn't specify how to output, but for the final answer, I'll list them in sequence.

Final Answer:
8, 15, 11, 10, 9, 43, 1, 10, 6