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Let’s go through each question one by one.

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Question 1: Identify whether the number below is a rational number, an integer, and/or a whole number.

Number: 9

- Is it a rational number? Yes — because it can be written as 9/1 (any integer over 1).
- Is it an integer? Yes — integers are whole numbers including negatives and zero; 9 is positive whole.
- Is it a whole number? Yes — whole numbers are non-negative integers: 0, 1, 2, 3... so 9 fits.

✔ So all three apply.

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Question 2: Same task for number 27

Number: 27

- Rational? Yes → 27/1
- Integer? Yes → it’s a whole number without decimals or fractions
- Whole number? Yes → same reason as above

✔ All three apply again.

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Question 3: Choose the integers.

Options:
- –33 → ✔ yes, negative whole number → integer
- –0.3810964… → ✘ no, decimal that doesn’t terminate or repeat → not rational even, definitely not integer
- 30 → ✔ yes, positive whole → integer
- 38 → ✔ yes, positive whole → integer
- –5/4 → ✘ no, fraction → not integer
- –3 → ✔ yes, negative whole → integer

✔ Integers: –33, 30, 38, –3

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Question 4: Choose the integers.

Options:
- 34 → ✔ yes
- 4.29 → ✘ decimal → not integer
- –3.30354… → ✘ non-repeating, non-terminating decimal → not even rational → not integer
- –2.319632… → ✘ same as above
- 0.2 → ✘ decimal → not integer
- –17 → ✔ yes, negative whole → integer

✔ Integers: 34, –17

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Question 5: Choose the whole numbers.

Whole numbers = {0, 1, 2, 3, ...} — only non-negative integers.

Options:
- –3.44 → ✘ negative and decimal
- √51 → ✘ irrational (since 51 isn't perfect square) → not whole
- –3.9 → ✘ negative and decimal
- 4.874222… → ✘ decimal → not whole
- –13/8 → ✘ negative fraction → not whole
- 5√2 → ✘ irrational → not whole

Wait — none of these are whole numbers? Let me double-check.

Actually — looking again — there are NO whole numbers in this list. But that seems odd for a worksheet. Maybe I misread?

Looking at options again:

–3.44 → no
√51 ≈ 7.14 → not whole
–3.9 → no
4.874... → no
–13/8 = -1.625 → no
5√2 ≈ 7.07 → no

Hmm — perhaps the question expects us to select if any fit — but none do. That might be intentional — sometimes worksheets have “none” as answer.

But let’s check Question 6 too — maybe we’ll see pattern.

Wait — actually, re-reading the instruction: “Choose the whole numbers.” It doesn’t say “select all that apply” explicitly, but from context (radio buttons), likely multiple choice with possibly more than one correct.

In Q5 — based on strict definition — none of the listed numbers are whole numbers.

But let’s hold that thought — maybe I made a mistake.

Alternatively — perhaps √51 was meant to be something else? No, as written — not whole.

So for now — Q5: no selections

But wait — let’s look at Q6 to compare.

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Question 6: Choose the whole numbers.

Options:
- 34 → ✔ yes
- 31 → ✔ yes
- 13 → ✔ yes
- –5/8 → ✘ negative fraction
- 3/5 → ✘ positive fraction → not whole
- 32 → ✔ yes

✔ Whole numbers: 34, 31, 13, 32

That makes sense — four clear answers.

Back to Q5 — since none qualify, perhaps the answer is “none”. But the format has radio buttons — maybe student should leave blank? Or perhaps I missed something.

Wait — let’s re-express Q5 options numerically:

–3.44 → no
√51 → approx 7.141 → not whole
–3.9 → no
4.874222… → looks like repeating? Even if repeating, it’s still decimal → not whole unless equals integer → which it doesn’t
–13/8 = -1.625 → no
5√2 ≈ 7.071 → no

Yes — truly, no whole numbers in Q5.

Perhaps the worksheet has a trick question here — or typo — but based on what’s given, we must go with logic.

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Now, compiling final answers per question:

Q1: Rational number, Integer, Whole number
Q2: Rational number, Integer, Whole number
Q3: –33, 30, 38, –3
Q4: 34, –17
Q5: (none)
Q6: 34, 31, 13, 32

But since the user didn’t specify how to format multi-selects — and original uses radio buttons (which usually imply single select), but content suggests multiple may be correct — I’ll assume they want all correct choices listed.

Also note: In Q1 and Q2, the instructions say “identify whether... is a rational number, an integer, and/or a whole number” — meaning you can choose multiple.

Same for others — “choose the integers” implies select all that are integers.

So final output should reflect that.

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Final Answer:

1. Rational number, Integer, Whole number
2. Rational number, Integer, Whole number
3. –33, 30, 38, –3
4. 34, –17
5. None
6. 34, 31, 13, 32