Modulo Patterns Quiz: Discover Number Remainders

  • 8th Grade
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| Questions: 20 | Updated: Dec 16, 2025
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1) When you divide 17 by 5, what is the remainder?

Explanation

5 × 3 = 15; 17 – 15 = 2; Remainder = 2.

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About This Quiz
Modulo Patterns Quiz: Discover Number Remainders - Quiz

Modulo math has a way of turning ordinary numbers into surprising patterns. In this quiz, you’ll follow those twists as remainders repeat, cycle, and create little stories of their own. Each question nudges you to notice how numbers behave when they wrap around a divisor and why these patterns matte... see moremore than they seem. It’s a light, curious dive into modular arithmetic that keeps your mind exploring.
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2) When 25 is divided by 7, the remainder is 4.

Explanation

7 × 3 = 21; 25 – 21 = 4.

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3) When 100 is divided by 9, the remainder is __

Explanation

9 × 11 = 99; 100 – 99 = 1.

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4) What is the remainder when 82 is divided by 10?

Explanation

The last digit of 82 is 2 → remainder 2 when ÷10.

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5) Which numbers have a remainder of 2 when divided by 5?

Explanation

7: 5×1=5, rem 2; 10: rem 0; 17: 5×3=15, rem 2; 20: rem 0.

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6) Which numbers all leave a remainder of 3 when divided by 4?

Explanation

3 → 3; 7 – 4×1 = 3; 11 – 4×2 = 3.

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7) Every even number has a remainder of 0 when divided by 2.

Explanation

Even numbers are multiples of 2 → remainder 0.

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8) The next number after 28 that leaves a remainder of 3 when divided by 5 is __

Explanation

28 ÷ 5 → rem 3; 28 + 5 = 33 → correct.

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9) How many numbers from 1 to 12 leave a remainder of 1 when divided by 3?

Explanation

1, 4, 7, 10 → 4 numbers.

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10) Which statements are true?

Explanation

45 → rem 5; 81 → rem 0; 50 → rem 2 (false); 100 → rem 0.

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11) What is the remainder when 123 is divided by 10?

Explanation

Last digit = 3 → remainder 3.

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12) When 999 is divided by 9, the remainder is __

Explanation

9 + 9 + 9 = 27; 27 divisible by 9 → remainder 0.

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13) When any number ending in 0 is divided by 10, the remainder is 0.

Explanation

Examples: 30, 40, 50 → all divisible by 10 → remainder 0.

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14) How many numbers from 1 to 20 are divisible by 5 with no remainder?

Explanation

5, 10, 15, 20 → 4 numbers.

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15) Which numbers leave a remainder of 1 when divided by 4?

Explanation

5 – 4 = 1; 13 – 12 = 1; others → remainder 0.

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16) When 200 is divided by 8, the remainder is __

Explanation

8 × 25 = 200 → remainder 0.

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17) What is the remainder when 35 is divided by 6?

Explanation

6 × 5 = 30; 35 – 30 = 5.

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18) Adding 7 to a number increases its remainder by 7 when divided by 5.

Explanation

Example: 10 → rem 0; 17 → rem 2; remainder changes by 2, not 7.

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19) The sum of digits of 567 is 18. When 567 is divided by 9, the remainder is __

Explanation

5+6+7=18; 18 divisible by 9 → remainder 0.

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20) How many numbers from 10 to 19 leave a remainder of 2 when divided by 3?

Explanation

11, 14, 17 → 3 numbers.

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When you divide 17 by 5, what is the remainder?
When 25 is divided by 7, the remainder is 4.
When 100 is divided by 9, the remainder is __
What is the remainder when 82 is divided by 10?
Which numbers have a remainder of 2 when divided by 5?
Which numbers all leave a remainder of 3 when divided by 4?
Every even number has a remainder of 0 when divided by 2.
The next number after 28 that leaves a remainder of 3 when divided by...
How many numbers from 1 to 12 leave a remainder of 1 when divided by...
Which statements are true?
What is the remainder when 123 is divided by 10?
When 999 is divided by 9, the remainder is __
When any number ending in 0 is divided by 10, the remainder is 0.
How many numbers from 1 to 20 are divisible by 5 with no remainder?
Which numbers leave a remainder of 1 when divided by 4?
When 200 is divided by 8, the remainder is __
What is the remainder when 35 is divided by 6?
Adding 7 to a number increases its remainder by 7 when divided by 5.
The sum of digits of 567 is 18. When 567 is divided by 9, the...
How many numbers from 10 to 19 leave a remainder of 2 when divided by...
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