Applying Divisibility Rules in Patterns

  • 5th Grade
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| Attempts: 11 | Questions: 20 | Updated: Dec 3, 2025
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1) Which number in the set {12, 18, 25, 30} is not divisible by 3?

Explanation

2+5=7, not divisible by 3.

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About This Quiz
Applying Divisibility Rules In Patterns - Quiz

Numbers love patterns—and divisibility rules make those patterns easy to see! In this quiz, you’ll apply what you know about divisibility to sets of numbers, find which ones fit the rules, and test how different rules overlap. We bring you this quiz to sharpen your number sense and show you... see morehow math shortcuts reveal hidden patterns in everyday numbers.
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2) Which of these numbers is divisible by both 5 and 2?

Explanation

Ends in 0.

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3) Which of these is divisible by 9?

Explanation

8+1=9 → divisible by 9.

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4) Which number is divisible by 6?

Explanation

36 is divisible by 2 (even) and by 3 (digit sum 9).

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5) Which number is divisible by 4 but not by 8?

Explanation

20 ÷ 4 = 5, but not divisible by 8.

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6) Which number is divisible by 2 and 3?

Explanation

Even and digit sum 3 → divisible by 6 too.

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7) Which number in {40, 42, 44, 46} is divisible by 3?

Explanation

4+2=6 → divisible by 3.

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8) Which number is divisible by 5?

Explanation

Ends in 5.

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9) Which number is divisible by both 3 and 9?

Explanation

2+7=9 → divisible by 9 (so also by 3).

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10) Which number is divisible by 2 but not 5?

Explanation

Even, but doesn’t end in 0 or 5.

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11) Which number is divisible by 5 and 10?

Explanation

Ends in 0.

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12) Which of these is divisible by 4?

Explanation

Last two digits = 28 ÷ 4 = 7.

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13) Which of these numbers is divisible by 6?

Explanation

Divisible by both 2 (even) and 3 (3+0=3).

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14) Which of these is divisible by 3?

Explanation

2+1=3 → divisible by 3.

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15) Which number is divisible by 2, 3, and 6?

Explanation

Even, digit sum 6, so divisible by all.

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16) Which of these is divisible by 9?

Explanation

8+1=9 → divisible by 9.

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17) Which number is divisible by 4 but not by 2?

Explanation

If a number is divisible by 4, it’s always divisible by 2.

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18) Which number in {32, 36, 38, 40} is divisible by 3?

Explanation

3+6=9 → divisible by 3.

Submit
19) Which number is divisible by 5 and ends in 5?

Explanation

Ends in 5 → divisible by 5.

Submit
20) Which of these numbers is divisible by 10?

Explanation

Ends in 0.

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Which number in the set {12, 18, 25, 30} is not divisible by 3?
Which of these numbers is divisible by both 5 and 2?
Which of these is divisible by 9?
Which number is divisible by 6?
Which number is divisible by 4 but not by 8?
Which number is divisible by 2 and 3?
Which number in {40, 42, 44, 46} is divisible by 3?
Which number is divisible by 5?
Which number is divisible by both 3 and 9?
Which number is divisible by 2 but not 5?
Which number is divisible by 5 and 10?
Which of these is divisible by 4?
Which of these numbers is divisible by 6?
Which of these is divisible by 3?
Which number is divisible by 2, 3, and 6?
Which of these is divisible by 9?
Which number is divisible by 4 but not by 2?
Which number in {32, 36, 38, 40} is divisible by 3?
Which number is divisible by 5 and ends in 5?
Which of these numbers is divisible by 10?
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