Printable math quiz focusing on number sense, featuring multiple-choice questions on topics like even numbers, rounding, factors, and decimal equivalents.

Let’s solve each question one by one, step by step.

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Question 1:

Clues:
- Five-digit number → so it must be between 10,000 and 99,999.
- All digits are even → possible digits: 0, 2, 4, 6, 8.
- Rounded to nearest hundred = 6,500 → that means the number is between 6,450 and 6,549 (because rounding to nearest hundred: if tens digit is 5 or more, round up; less than 5, round down).
- So for a five-digit number to round to 6,500? Wait — 6,500 is only four digits. That can’t be right unless there’s a typo in the problem or options.

Wait — look at the answer choices:

A) 4,547 → 4 digits
B) 4,646 → 4 digits
C) 6,462 → 4 digits
D) 6,464 → 4 digits

But the clue says “five digit number”. None of these are five-digit numbers. Hmm.

Also, all digits must be even. Let’s check:

A) 4,547 → has 5 and 7 → odd → ✘
B) 4,646 → digits: 4,6,4,6 → all even ✔
C) 6,462 → 6,4,6,2 → all even ✔
D) 6,464 → 6,4,6,4 → all even ✔

Now, rounded to nearest hundred = 6,500.

Check B: 4,646 → rounds to 4,600 → not 6,500 →
C: 6,462 → tens digit is 6 → which is ≥5 → so rounds UP to 6,500 ✔
D: 6,464 → tens digit is 6 → also rounds to 6,500 ✔

Sum of digits:

C: 6+4+6+2 = 18 → but clue says sum should be 20 → ✘
D: 6+4+6+4 = 20 ✔

So D satisfies:
- All even digits ✔
- Rounds to 6,500 ✔
- Sum of digits = 20 ✔

BUT — it’s only 4 digits, and clue says “five digit number”.

This is confusing. Maybe the problem meant “four digit”? Or maybe the options are wrong?

Looking again — perhaps the “five digit” is a mistake? Because none of the options are five-digit. And D fits all other clues perfectly.

Maybe we go with D as best fit.

Alternatively — could 6,464 be considered as 06,464? No, leading zero doesn’t count.

Perhaps the problem has a typo. But since D matches all numerical clues except the “five digit”, and no option is five-digit, likely the “five digit” is an error.

We’ll go with D.

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Question 2: GCF of 12 and 36

Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Common factors: 1,2,3,4,6,12 → greatest is 12.

Answer: A) 12

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Question 3: Two factors shared by 24 and 40

Factors of 24: 1,2,3,4,6,8,12,24
Factors of 40: 1,2,4,5,8,10,20,40
Shared: 1,2,4,8

Look at options:

A) 8,10 → 10 not factor of 24 → ✘
B) 1,3 → 3 not factor of 40 → ✘
C) 4,8 → both are shared ✔
D) 2,6 → 6 not factor of 40 → ✘

Answer: C) 4,8

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Question 4: Factor shared by 12 and 18

Factors of 12: 1,2,3,4,6,12
Factors of 18: 1,2,3,6,9,18
Shared: 1,2,3,6

Options:

A) 6 → yes ✔
B) 4 → not factor of 18 → ✘
C) 5 → no → ✘
D) 9 → not factor of 12 → ✘

Answer: A) 6

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Question 5: Decimal equivalent of two and three fourths

Two and three fourths = 2 + 3/4

3 ÷ 4 = 0.75

So 2 + 0.75 = 2.75

Answer: A) 2.75

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Question 6:

Clue: 4-digit number with two 3’s and two 8’s. When rounded to nearest hundred, you get 3,800.

Possible numbers using two 3’s and two 8’s:

List permutations:

- 3388 → rounds to 3400 →
- 3838 → rounds to 3800? Tens digit is 3 → <5 → rounds to 3800 ✔
- 3883 → tens digit 8 → ≥5 → rounds to 3900 → ✘
- 8338 → too big → rounds to 8300 →
- 8383 → same → ✘
- 8833 → ✘

Only 3838 rounds to 3800.

Check: 3838 → hundreds place is 8 (in 38xx), tens digit is 3 → so we look at tens digit to round hundreds: 3 < 5 → so 3800 ✔

Digits: two 3’s, two 8’s → yes.

Is there another? What about 3388? → 3388 → tens digit 8 → rounds to 3400 → no.

What about 3838 — that works.

What about 8338? Too big.

Another possibility: 3838 is the only one that starts with 38 and has two 3s and two 8s.

Wait — what about 3883? → 3883 → tens digit 8 → rounds to 3900 → no.

What about 3388? → 3388 → rounds to 3400 → no.

What about 8383? → 8400 → no.

So only 3838 fits.

But wait — is 3838 the only one? What about 3838, 3883, 3388, 8338, etc. — we checked.

Actually, let’s list all unique combinations:

Positions: thousands, hundreds, tens, units.

We need exactly two 3s and two 8s.

Total permutations: C(4,2) = 6 ways to place the 3s (rest are 8s):

1. 3388
2. 3838
3. 3883
4. 8338
5. 8383
6. 8833

Now round each to nearest hundred:

1. 3388 → look at tens digit: 8 → round up → 3400
2. 3838 → tens digit: 3 → round down → 3800 ✔
3. 3883 → tens digit: 8 → round up → 3900
4. 8338 → 8300? Wait: 8338 → hundreds digit is 3 (in 83xx), tens digit is 3 → so 8300? Actually, 8338 → the hundreds place is the third digit from right: 8 (thousands), 3 (hundreds), 3 (tens), 8 (units). To round to nearest hundred, look at tens digit: 3 → so round down → 8300 → not 3800 → ✘
5. 8383 → tens digit 8 → round up → 8400 → ✘
6. 8833 → tens digit 3 → round down → 8800 → ✘

Only #2: 3838 rounds to 3800.

So mystery number is 3838

But the question says “What is the mystery number?” — and it’s cut off in the image, but based on context, we assume we just need to find it.

Since this is part of the quiz, and no multiple choice shown for Q6, but in original image it might have options — but user didn’t provide full Q6 options. However, based on logic, answer is 3838.

But since the instruction is to solve the problems given, and Q6 is incomplete in text, but we solved it.

However, looking back — in the user’s upload, Q6 ends with “What is the mystery number?” without showing options. But since we’re to solve accurately, and we found 3838, we’ll note that.

But for final answer section, we need to give answers for all questions presented.

In the initial request, user said “solve the problem accurately” — and uploaded image with 6 questions, though Q6 is cut off.

But in our reasoning, we solved Q1-Q5 fully, and Q6 partially.

Wait — rechecking user input: they pasted text of Q1 to Q6, but Q6 ends mid-sentence? No, in their text:

“6. Follow these clues to figure out the mystery number: This 4 digit number has two 3's and two 8's in it. When you round this number to the nearest hundred you get 3,800. What is the mystery number?”

It seems complete. And no options listed for Q6 in the text provided. So we just state the number.

But in the response format, we need to give Final Answer — probably for all questions.

Since ExplainAnswer is false, TeachTopic false, GeneratePractice false — we only output Final Answer.

But Final Answer should contain answers to all questions.

How to format? Probably list them.

Looking at structure: “Final Answer: [Provide only the final correct answer]”

But there are 6 questions. Likely, we list answers for each.

Perhaps:

Final Answer:
1. D
2. A
3. C
4. A
5. A
6. 3838

But for Q1, we had issue with "five digit" vs 4-digit options. We chose D as best fit.

To confirm Q1 again:

Option D: 6,464

- Digits: 6,4,6,4 → all even ✔
- Sum: 6+4+6+4=20 ✔
- Round to nearest hundred: 6,464 → tens digit is 6 → so round up → 6,500 ✔
- But it’s 4-digit, not 5-digit. Since no 5-digit option exists, and D fits all else, we accept it.

Perhaps the problem meant “this number” referring to something else, but unlikely.

I think D is intended answer.

For Q6, 3838 is correct.

So compiling:

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Final Answer:
1. D
2. A
3. C
4. A
5. A
6. 3838