Guess my number grade 2 worksheet - Free Printable

Let’s solve each problem step by step.

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Problem 1:

We are looking for a 3-digit number that meets these clues:

1. I am a 3-digit number. → So we can eliminate any 4-digit numbers (like 1320).
2. My hundreds digit is odd but I am an even number.
- Hundreds digit must be odd: 1, 3, 5, 7, 9
- But the whole number must be even → so last digit must be even (0, 2, 4, 6, 8)
3. I am more than 6 hundreds. → So the number must be > 600 → hundreds digit must be 7, 8, or 9. But from clue #2, hundreds digit must be odd → so only 7 or 9.
4. My tens digit is one less than my hundreds digit.

Let’s test possible candidates from the list:

Options:
387 — ends in 7 → odd → ✘ (must be even)
765 — ends in 5 → odd → ✘
572 — hundreds digit = 5 → not >600 → ✘
986 — hundreds digit = 9 (odd ✔), number is even ✔, >600 ✔, tens digit = 8 → is 8 one less than 9? YES! ✔
874 — hundreds digit = 8 → even → ✘ (needs to be odd)
628 — hundreds digit = 6 → even → ✘
729 — ends in 9 → odd → ✘
1320 — 4 digits → ✘

Only 986 fits all clues.

Wait — let’s double-check 986:
- 3-digit? Yes.
- Hundreds digit = 9 → odd? Yes.
- Number is even? Last digit 6 → yes.
- More than 600? Yes.
- Tens digit = 8 → is it one less than 9? Yes.

Perfect.

But wait — what about 765? No, it’s odd. What about 729? Also odd.

Is there another candidate? Let’s check if 7xx could work.

If hundreds digit = 7 (odd, and >600), then tens digit should be 6 (one less). And number must end in even digit.

Look at options: Is there a 76_ with even last digit? 765 ends in 5 → no. 729 → tens digit is 2, not 6 → doesn’t fit.

What about 874? Hundreds digit 8 → even → violates clue #2.

So only 986 works.

BUT — hold on! The option “874” has hundreds digit 8 (even) → invalid.

Wait — what about “765”? Ends in 5 → odd → invalid.

Actually, let’s re-read clue #2: “My hundreds digit is odd but I am an even number.”

So hundreds digit odd → 1,3,5,7,9
Number even → last digit even.

And >600 → so hundreds digit 7 or 9.

Tens digit = hundreds digit minus 1.

So possibilities:

- If hundreds = 7 → tens = 6 → number looks like 76x, where x is even.
Look at options: 765 → x=5 → odd → ✘
Any other 76x? No.

- If hundreds = 9 → tens = 8 → number looks like 98x, where x is even.
Option: 986 → x=6 → even → ✔

That’s the only one.

But wait — look again at the options: Is there a 762 or something? No. Only 765.

So 986 is correct.

BUT — let me check 874 again: hundreds digit 8 → even → violates “hundreds digit is odd” → so no.

Another thought: maybe I missed one?

List again:

387 → hundreds=3 (odd), but 3<6 → not >600 → ✘
765 → hundreds=7 (odd), >600 ✔, but ends in 5 → odd → ✘
572 → hundreds=5 → <600 → ✘
986 → as above → ✔✔✔✔✔
874 → hundreds=8 → even → ✘
628 → hundreds=6 → even → ✘
729 → hundreds=7 (odd), >600 ✔, but ends in 9 → odd → ✘
1320 → 4 digits → ✘

Only 986 qualifies.

Wait — but the problem says “select the correct answer from a choice of 8 possibilities” — and 986 is among them.

So Problem 1 answer is 986.

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Problem 2:

Clues:

1. I am less 5 hundreds. → Probably means “less than 500” → so number < 500 → hundreds digit 1,2,3,4.
2. My hundreds digit is even. → So hundreds digit ∈ {2,4} (since 0 not possible for 3-digit number starting with non-zero, and 1,3 odd; 5+ excluded by clue 1)
3. My tens digit is in the 3 times table. → Multiples of 3: 0,3,6,9 → so tens digit ∈ {0,3,6,9}
4. I am odd. → Last digit must be odd: 1,3,5,7,9

Now check options:

425 → hundreds=4 (even ✔), <500 ✔, tens=2 → is 2 in 3 times table? 3×0=0, 3×1=3, 3×2=6 → no → ✘
719 → hundreds=7 → ≥500 → ✘
382 → hundreds=3 → odd → ✘ (clue 2 says hundreds digit even)
873 → hundreds=8 → ≥500 → ✘
463 → hundreds=4 (even ✔), <500 ✔, tens=6 → 6 is in 3 times table (3×2=6) ✔, ends in 3 → odd ✔ → ALL CLUES FIT!
258 → ends in 8 → even → ✘ (must be odd)
337 → hundreds=3 → odd → ✘
236 → ends in 6 → even → ✘

Check 463:
- Less than 500? Yes (463 < 500)
- Hundreds digit = 4 → even? Yes
- Tens digit = 6 → in 3 times table? 3×2=6 → yes
- Odd? Ends in 3 → yes

Perfect.

Any others?

What about 425? Tens digit 2 → not multiple of 3 → no.

382? Hundreds digit 3 → odd → no.

258? Even → no.

So only 463 works.

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Final Answers:

Problem 1: 986
Problem 2: 463

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Final Answer:
1) 986
2) 463