Math worksheet titled "Place Value Riddles 5B" with two riddles and multiple-choice answers, featuring a cartoon salamander.

Let’s solve each riddle step by step.

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Riddle 1:

Clues:
- I am more than a thousand thousands → that means > 1,000,000
- I am less than 5 million → < 5,000,000
- I am divisible by 20 → must end in 0 and be even (actually, divisible by 20 means last two digits are 00, 20, 40, 60, or 80 — but since it’s divisible by 10 and 2, last digit must be 0, and the tens digit must be even)
- My ten digit is double my ten thousands digit.

First, eliminate numbers not between 1,000,000 and 5,000,000:

Given options:
- 42,186,240 → too big (>5M) ✘
- 396,150 → too small (<1M) ✘
- 2,341,280 → OK range ✔
- 927,340 → too small
- 1,036,720 → OK range ✔
- 3,411,230 → OK range ✔
- 5,042,780 → over 5M? 5,042,780 > 5,000,000 → ✘
- 2,180,325 → ends in 5 → not divisible by 20 ✘

So left with:
→ 2,341,280
→ 1,036,720
→ 3,411,230

Now check divisibility by 20:

Divisible by 20 = divisible by 4 and 5 → last two digits must form number divisible by 20 → so last two digits: 00, 20, 40, 60, 80.

Check:

- 2,341,280 → ends in 80 → 80 ÷ 20 = 4 → ✔ divisible by 20
- 1,036,720 → ends in 20 → 20 ÷ 20 = 1 → ✔
- 3,411,230 → ends in 30 → 30 ÷ 20 = 1.5 → ✘ NOT divisible by 20

Eliminate 3,411,230.

Left with:
→ 2,341,280
→ 1,036,720

Now clue: “My ten digit is double my ten thousands digit.”

Let’s break down place values for each.

For 2,341,280:

Write digits with places:

Millions | Hundred Thousands | Ten Thousands | Thousands | Hundreds | Tens | Ones
2 | 3 | 4 | 1 | 2 | 8 | 0

Ten digit = 8
Ten thousands digit = 4
Is 8 = 2 × 4? → Yes! ✔

Check other one just to be sure.

For 1,036,720:

Digits:

Millions | H-Thou | T-Thou | Thou | Hun | Ten | One
1 | 0 | 3 | 6 | 7 | 2 | 0

Ten digit = 2
Ten thousands digit = 3
Is 2 = 2 × 3? → 2 = 6? No ✘

So only 2,341,280 fits all clues.

✔ Riddle 1 answer: 2,341,280

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Riddle 2:

Clues:
- I am an 8-digit number.
- My largest digit is my hundred thousands digit.
- I am not a multiple of 5 → so last digit ≠ 0 or 5
- If you double me, I am worth less than 24 million → so original number < 12,000,000 (because 12M × 2 = 24M, and we need *less than* 24M)

So first: must be < 12,000,000 → so first digit must be 1 (since if it starts with 2 or more, it’s at least 20M, which doubled is 40M — way over). Wait — actually, if number is less than 12M, then doubling gives less than 24M. So yes, number must be < 12,000,000.

Look at options:

- 22,165,341 → 8 digits? Let's count: 22,165,341 → 8 digits? 2-2-1-6-5-3-4-1 → yes 8 digits. But 22M > 12M → double would be 44M+ → ✘
- 10,923,510 → 8 digits? 1-0-9-2-3-5-1-0 → yes. Ends in 0 → multiple of 5 → ✘
- 12,632,114 → 8 digits? 1-2-6-3-2-1-1-4 → yes. But 12,632,114 > 12,000,000 → double is >24M → ✘
- 8,942,327 → 7 digits? 8-9-4-2-3-2-7 → only 7 digits → ✘ (needs 8 digits)
- 11,655,125 → 8 digits? 1-1-6-5-5-1-2-5 → yes. Ends in 5 → multiple of 5 → ✘
- 7,855,927 → 7 digits → ✘
- 10,376,418 → 8 digits? 1-0-3-7-6-4-1-8 → yes. Less than 12M? 10,376,418 < 12M → ✔. Ends in 8 → not multiple of 5 → ✔
- 11,534,342 → 8 digits? 1-1-5-3-4-3-4-2 → yes. Less than 12M? 11,534,342 < 12M → ✔. Ends in 2 → not multiple of 5 → ✔

So possible candidates after filtering:

→ 10,376,418
→ 11,534,342

Now check: “My largest digit is my hundred thousands digit.”

Break down place values for 8-digit numbers:

Positions from left:
Digit 1: Ten Millions
Digit 2: Millions
Digit 3: Hundred Thousands ← this is key
Digit 4: Ten Thousands
Digit 5: Thousands
Digit 6: Hundreds
Digit 7: Tens
Digit 8: Ones

For 10,376,418:

Digits:
1 (ten mil), 0 (mil), 3 (hundred thou), 7 (ten thou), 6 (thou), 4 (hun), 1 (ten), 8 (one)

Largest digit in entire number? Look: 1,0,3,7,6,4,1,8 → max is 8.

But hundred thousands digit is 3 → 8 ≠ 3 →

For 11,534,342:

Digits:
1 (ten mil), 1 (mil), 5 (hundred thou), 3 (ten thou), 4 (thou), 3 (hun), 4 (ten), 2 (one)

All digits: 1,1,5,3,4,3,4,2 → largest digit is 5.

Hundred thousands digit is 5 → matches! ✔

Also, double it: 11,534,342 × 2 = 23,068,684 → which is less than 24,000,000 → ✔

And ends in 2 → not multiple of 5 → ✔

Perfect.

✔ Riddle 2 answer: 11,534,342

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Final Answer:
1) 2,341,280
2) 11,534,342