Let’s go through each question one by one, using the divisibility rules you’ve learned.
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Question 1: What is the divisibility rule for 3?
To check if a number is divisible by 3, add up all its digits. If that sum is divisible by 3 (like 3, 6, 9, 12, etc.), then the original number is also divisible by 3.
Example:
Number = 123 → 1 + 2 + 3 = 6 → 6 ÷ 3 = 2 → Yes, divisible by 3.
So correct answer:
B — Add up the digits. The sum must be a multiple of 3.
*(Note: It doesn’t have to be even — so A is wrong. Doesn’t have to equal 9 — C is too strict. Last digit being 3? No — D is wrong.)*
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Question 2: What is the divisibility rule for 5?
A number is divisible by 5 if it ends in 0 or 5.
Examples:
→ 15 → ends in 5 → yes
→ 20 → ends in 0 → yes
→ 23 → ends in 3 → no
Correct answer:
B — The last digit needs to be a 5 or 0.
*(C says “only 5” — but 0 works too → wrong. A and D are not correct rules for 5.)*
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Question 3: What is the divisibility rule for 4?
Check the last two digits of the number. If those two digits form a number divisible by 4, then the whole number is divisible by 4.
Example:
→ 124 → last two digits: 24 → 24 ÷ 4 = 6 → yes
→ 122 → last two digits: 22 → 22 ÷ 4 = 5.5 → no
Correct answer:
A — The last two digits must form a number that is a multiple of 4
*(B is for 3 or 9. C is incomplete — e.g., 14 ends in 4 but 14 isn’t divisible by 4. D is for 6.)*
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Question 4: A number is divisible by 10 if...
Easy! Just look at the last digit. If it’s 0, it’s divisible by 10.
Examples:
→ 30 → yes
→ 35 → no
→ 100 → yes
Correct answer:
B — It ends in 0
*(A: Sum of digits multiple of 10? Not required — e.g., 10 → 1+0=1 → still divisible by 10. C: ends in 0 or 5 → that’s for 5. D: even → that’s for 2.)*
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Question 5: What is the divisibility rule for 9?
Same as for 3, but stricter: Add up the digits. If the sum is divisible by 9, then the number is divisible by 9.
Example:
→ 189 → 1 + 8 + 9 = 18 → 18 ÷ 9 = 2 → yes
→ 180 → 1 + 8 + 0 = 9 → yes
→ 181 → 1 + 8 + 1 = 10 → no
Correct answer:
D — The sum of the digits is a number divisible by 9
*(A: last digit zero? That’s for 10. B: divisible by 3? Too weak — that’s for 3, not 9. C: last two digits divisible by 3? Not relevant.)*
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Question 6: What is the divisibility rule for 6?
A number is divisible by 6 if it is divisible by BOTH 2 AND 3.
Why? Because 6 = 2 × 3, and 2 and 3 are prime.
Example:
→ 12 → even (div by 2) and 1+2=3 (div by 3) → yes
→ 15 → odd → not div by 2 → no
→ 14 → even, but 1+4=5 → not div by 3 → no
Correct answer:
A — It is divisible by 2 and 3
*(B: 2 and 4? That would be for 4, not 6. Also, if divisible by 4, it’s automatically divisible by 2 — but we need 3 too.)*
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Final Answer:
1. B
2. B
3. A
4. B
5. D
6. A
Parent Tip: Review the logic above to help your child master the concept of divisibility worksheet for 6th graders.
