Place Value Riddles 1C math worksheet with two riddles and multiple-choice answers.

Let's solve each riddle step by step.

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Riddle 1:

> I am a two-digit number.
> I am larger than 50.
> I am smaller than 90.
> Both my digits are the same.
> Who am I?

Step-by-step analysis:

- The number is two-digit, so it's between 10 and 99.
- It is greater than 50 → So, possible numbers start from 51 upwards.
- It is less than 90 → So, possible numbers go up to 89.
- So, the number is between 51 and 89, inclusive.
- Both digits are the same → So we're looking for numbers like 11, 22, 33, 44, 55, 66, 77, 88.

Now, which of these are between 51 and 89?

- 55 ✔
- 66 ✔
- 77 ✔
- 88 ✔

Now look at the choices given:

- 62 ✘ (digits not same)
- 122 ✘ (three digits)
- 29 ✘ (less than 50)
- 77 ✔
- 36 ✘ (digits not same, less than 50)
- 44 ✘ (less than 50)

Only 77 satisfies all conditions:
- Two-digit ✔
- Greater than 50 ✔
- Less than 90 ✔
- Digits are the same ✔

✔ Answer: 77

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Riddle 2:

> I am less than 6 tens.
> I am more than 3 tens.
> My ones digit is three more than my tens digit.
> Who am I?

Step-by-step analysis:

- "6 tens" = 6 × 10 = 60
- "3 tens" = 3 × 10 = 30

So:
- Number is less than 60
- Number is more than 30
→ So, number is between 31 and 59

Now, ones digit is three more than tens digit

Let’s suppose the tens digit is T, then the ones digit is T + 3

So the number is:
10 × T + (T + 3) = 11T + 3

Now try values of T:

- If T = 1 → number = 11×1 + 3 = 14 → too small (less than 30)
- T = 2 → 22 + 3 = 25 → still < 30
- T = 3 → 33 + 3 = 36 → check: 36 is between 30 and 60 ✔
- Tens digit = 3, ones digit = 6 → 6 = 3 + 3 ✔
- T = 4 → 44 + 3 = 47 → 47 is between 30 and 60 ✔
- Tens = 4, ones = 7 → 7 = 4 + 3 ✔
- T = 5 → 55 + 3 = 58 → 58 < 60 ✔
- Tens = 5, ones = 8 → 8 = 5 + 3 ✔
- T = 6 → 66 + 3 = 69 → greater than 60 ✘

So possible numbers: 36, 47, 58

But now check the choices provided:

- 72 ✘ (greater than 60)
- 45 ✘ (ones digit = 5, tens = 4 → 5 ≠ 4+3 → 5 ≠ 7)
- 39 ✘ (ones = 9, tens = 3 → 9 ≠ 3+3 = 6)
- 41 ✘ (ones = 1, tens = 4 → 1 ≠ 7)
- 28 ✘ (less than 30)
- 47 ✔

Only 47 is in the list and satisfies:
- Between 30 and 60 ✔
- Ones digit = 7, tens digit = 4 → 7 = 4 + 3 ✔

✔ Answer: 47

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✔ Final Answers:

1) 77
2) 47

These are the correct solutions based on the clues and choices.