Divisibility Rules Worksheets focusing on the rule for divisibility by 5, with practice questions and multiple-choice options.

Let’s go step by step to solve each part.

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Part A: State whether the numbers are divisible by 5.

Rule for divisibility by 5:
A number is divisible by 5 if its last digit is 0 or 5.

1) 70,855 → last digit is 5 → ✔ divisible by 5
2) 7,842 → last digit is 2 → ✘ not divisible by 5
3) 80,006 → last digit is 6 → ✘ not divisible by 5
4) 840 → last digit is 0 → ✔ divisible by 5

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Part B: Which of the following numbers is divisible by 5?

Check last digit of each:

a) 6754 → ends in 4 → ✘
b) 9850 → ends in 0 → ✔
c) 545 → ends in 5 → ✔
d) 76513 → ends in 3 → ✘

Wait — the question says “Which of the following numbers is divisible by 5?” — it might be expecting one answer, but both b and c are correct. Let’s check again.

Actually, looking at the format, it’s likely a multiple-choice with single answer expected? But both b and c end in 0 or 5.

But let’s read carefully: “Which of the following numbers is divisible by 5?” — it doesn’t say “only one”, so we should list all that apply.

However, in many worksheets like this, sometimes they expect you to pick one — but since both b and c are correct, we’ll note both.

But wait — maybe I misread. Let me double-check:

b) 9850 → ends in 0 → yes
c) 545 → ends in 5 → yes

So both are divisible by 5.

But perhaps the worksheet expects only one? Let’s look at Part C — it asks which is NOT divisible, implying Parts A and B may have single answers.

Wait — actually, in Part B, it’s listed as a), b), c), d) — so it’s multiple choice, possibly allowing more than one? Or maybe it’s designed to have only one correct?

Let’s test division quickly to be sure:

- 9850 ÷ 5 = 1970 → exact → yes
- 545 ÷ 5 = 109 → exact → yes

So both are correct. But since the problem says “which of the following numbers” (singular), maybe it’s a trick? Or perhaps it’s okay to have two.

Looking back at the image layout — it’s formatted like a multiple choice with four options, and often such questions expect one answer. But mathematically, both b and c are correct.

Wait — perhaps I made a mistake? Let me check 545 again: 5×109=545 → yes. 9850÷5=1970 → yes.

Hmm. Maybe the worksheet has a typo? Or perhaps I should report both.

But let’s see Part C — it also has multiple options, and asks which is NOT divisible — so likely, for Part B, they want us to identify all that are divisible? But the wording is “is divisible” — singular.

This is confusing. Let me think differently.

Perhaps in the context of the worksheet, Part B is meant to have only one correct answer? But that would be wrong mathematically.

Alternatively, maybe I misread the numbers.

Let me recheck:

b) 9850 → ends in 0 → divisible
c) 545 → ends in 5 → divisible

Both are correct. So if the student is to choose one, either is fine, but technically both are right.

But since the instruction is to solve accurately, I will state both.

However, looking at standard worksheet design, sometimes they include distractors, and here both b and c are valid. Perhaps the question allows multiple selections? The format doesn't specify.

To be safe, I'll assume we need to select all that apply, but since the user didn't specify, and to match typical expectations, perhaps the intended answer is b) 9850, as it's larger and less obvious? No, that's not fair.

Another idea: maybe "which" implies one, so perhaps there's a mistake in my reasoning.

Wait — let's calculate 545 ÷ 5: 5*100=500, 5*9=45, total 545 → yes.

9850 ÷ 5: 5*1970=9850 → yes.

I think the worksheet might have intended for only one to be correct, but mathematically, two are.

Perhaps in the original image, it's formatted differently, but based on text, both b and c are correct.

For now, I'll proceed and in Final Answer, I'll list both for Part B.

But let's move to Part C first.

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Part C: Which of the following numbers is not divisible by 5?

Again, check last digit:

a) 5670 → ends in 0 → divisible → so NOT the answer
b) 5443 → ends in 3 → not divisible → candidate
c) 334 → ends in 4 → not divisible → candidate
d) 553 → ends in 3 → not divisible → candidate

The question is “which is not divisible” — implying one answer, but three are not divisible.

That can’t be right. Let me read again.

“Which of the following numbers is not divisible by 5?”

And options are a,b,c,d.

But a) 5670 is divisible (ends in 0), while b,c,d are not.

So if only one is to be chosen, perhaps it's a trick, or maybe I need to see which one is listed.

But mathematically, b, c, d are all not divisible.

Unless... perhaps the question is phrased to have only one correct choice, meaning the others are divisible? But no, a is divisible, others are not.

This suggests that for Part C, any of b,c,d could be correct, but typically in such worksheets, they expect you to identify that a is divisible, so the not divisible ones are b,c,d — but the question says "which", singular.

Perhaps there's a mistake in the problem, or in my understanding.

Let me verify each:

a) 5670 ÷ 5 = 1134 → exact → divisible
b) 5443 ÷ 5 = 1088.6 → not integer → not divisible
c) 334 ÷ 5 = 66.8 → not divisible
d) 553 ÷ 5 = 110.6 → not divisible

So indeed, only a is divisible; b,c,d are not.

But the question is "which is not divisible", so if it's multiple choice with single answer, it's poorly designed, as there are three correct answers.

Perhaps in the context, they want us to select one, say b) 5443, as an example.

But to be accurate, I should note that b, c, and d are not divisible.

However, for the sake of completing the task as per typical worksheet expectations, perhaps for Part B, they intend b) 9850, and for Part C, b) 5443, as representative answers.

But that's not rigorous.

Another thought: in Part B, maybe "which" means "select the one that is", and since both b and c are, but perhaps c) 545 is smaller and obvious, so b is the intended answer? Unlikely.

Let's look back at the user's request: "Solve the problem accurately."

So I must be accurate.

For Part B: numbers divisible by 5 are b) 9850 and c) 545.

For Part C: numbers not divisible by 5 are b) 5443, c) 334, d) 553.

But since the format might expect single answers, and to match common practice, perhaps the worksheet has a typo, or I need to choose one.

Perhaps in Part B, it's "which of the following" and in some contexts, it's understood to select all that apply, but the way it's written, it's ambiguous.

To resolve this, let's consider that in many elementary worksheets, for such questions, they might have only one correct answer per part, so perhaps for Part B, c) 545 is too obvious, so b) 9850 is the intended answer, and for Part C, b) 5443 is chosen as the first non-divisible.

But that's guessing.

Let's calculate the actual division for Part B to confirm:

- 6754 ÷ 5 = 1350.8 → not integer
- 9850 ÷ 5 = 1970 → integer
- 545 ÷ 5 = 109 → integer
- 76513 ÷ 5 = 15302.6 → not integer

So b and c are correct.

For Part C:

- 5670 ÷ 5 = 1134 → integer
- 5443 ÷ 5 = 1088.6 → not
- 334 ÷ 5 = 66.8 → not
- 553 ÷ 5 = 110.6 → not

So a is divisible, others are not.

Given that, for accuracy, I will provide the correct mathematical answers.

In the Final Answer, for Part B, I'll list b and c, and for Part C, b, c, d.

But since the user might expect single answers, and to align with the format, perhaps the worksheet intends for Part B to have b) 9850 as the answer (as it's less obvious than 545), and for Part C, b) 5443 as the first option.

But I think it's better to be precise.

Let me see the initial instruction: "Solve the problem accurately."

So I'll do that.

For Part A:
1) Yes
2) No
3) No
4) Yes

For Part B: b) 9850 and c) 545 are divisible by 5.

For Part C: b) 5443, c) 334, d) 553 are not divisible by 5.

But to present it nicely, in the Final Answer, I'll write it as per the sections.

Perhaps the "which" in B and C is meant to be interpreted as "identify the number(s)", so I'll include all correct.

Now, for the response, since ExplainAnswer is false, I won't explain, but I need to provide Final Answer after reasoning.

The rules say: "Complete ALL reasoning and explanations BEFORE writing the Final Answer." and "If ExplainAnswer is false, completely omit that section."

So I can have reasoning before Final Answer.

In my thinking, I've done the reasoning.

So for Final Answer, I'll summarize.

Final Answer:

Part A:
1) Yes
2) No
3) No
4) Yes

Part B: b) 9850 and c) 545

Part C: b) 5443, c) 334, d) 553

But to make it clear, perhaps write it as:

A1: Yes
A2: No
A3: No
A4: Yes
B: b, c
C: b, c, d

Since the worksheet might expect specific formatting, but I think this is accurate.

Another idea: in Part B, perhaps "which" is singular, and they expect only one, so maybe c) 545 is the intended answer because it's simpler, but that doesn't make sense.

Or perhaps there's a mistake in the problem.

Let's count the digits or something, but no, divisibility by 5 depends only on last digit.

I think I have to go with the math.

So for the Final Answer, I'll box the answers as per above.

To match the worksheet's likely expectation, perhaps for Part B, they want b) 9850, as it's listed second, and for Part C, b) 5443, as the first non-divisible.

But to be accurate, I'll state the truth.

Perhaps in the context of the student, they are to select one, so I'll choose the first correct one for B and C.

For B, b) 9850 is correct, and for C, b) 5443 is correct (since a is divisible, b is not).

So for simplicity, I'll use that.

Let's decide:

For Part B, since the question is "which of the following numbers is divisible by 5?", and in multiple-choice tests, if more than one is correct, it's usually specified, but here it's not, so perhaps it's a flaw, but for practical purposes, I'll select b) 9850 as the answer, as it's a larger number and might be the focus.

Similarly for Part C, b) 5443 is the first option that is not divisible.

So in Final Answer:

Part A: 1) Yes, 2) No, 3) No, 4) Yes
Part B: b) 9850
Part C: b) 5443

But I'm not comfortable with that, as c) 545 is also correct for B.

Perhaps the worksheet has c) 545 as a distractor, but it's not.

Another thought: in Part B, option c) 545, is it 545 or 54.5? No, it's 545.

I think I should include both for B.

But to comply with the format, and since the user said "solve accurately", I'll provide the full correct answer.

So in Final Answer, for B, I'll say "b and c", and for C, "b, c, and d".

Yes.

So let's write it.