Remainders Master Quiz: Master Remainders Quiz

  • Grade 5th
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| Questions: 20 | Updated: May 19, 2026
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1) If a number leaves remainder 0 when divided by 5, it is a multiple of 5.

Explanation

The answer is True. A remainder of 0 means the division is exact with nothing left over. When a number divides evenly by 5, it is by definition a multiple of 5. These are the numbers that end in 0 or 5, such as 10, 15, 20, 25, and 30.

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About This Quiz
Remainders Master Quiz: Master Remainders Quiz - Quiz

How can you work confidently with remainder-based problems in modular arithmetic? In this quiz, you’ll analyze how numbers behave under division, compare remainders across different situations, and solve problems that require reasoning within a modular system. You’ll practice writing congruences, combining modular statements, and interpreting what each remainder tells you.... see moreWith each example, you’ll strengthen your number sense and build a clear understanding of how modular patterns appear in everyday and mathematical contexts.
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2) Which number is divisible by 12 with no remainder?

Explanation

36 divided by 12 = 3 exactly, remainder 0. Option A: 22 divided by 12 = 1 remainder 10. Option C: 38 divided by 12 = 3 remainder 2. Option D: 40 divided by 12 = 3 remainder 4. Only 36 is a perfect multiple of 12.

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3) A fruit seller divides 350 apples into boxes of 24. How many are left over?

Explanation

24 times 14 = 336. 350 minus 336 = 14 apples remaining. Option A gives 12, which would require 348 apples. Option C gives 15, requiring 351. Option D gives 16, requiring 352. Only 14 correctly represents 350 minus 336.

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4) Select all numbers that give remainder 2 when divided by 5.

Explanation

7 divided by 5 = 1 remainder 2 since 5 times 1 = 5 and 7 minus 5 = 2, confirming A. 12 divided by 5 = 2 remainder 2 since 5 times 2 = 10 and 12 minus 10 = 2, confirming B. 17 divided by 5 = 3 remainder 2 since 5 times 3 = 15 and 17 minus 15 = 2, confirming C. Option D: 25 divided by 5 = 5 remainder 0 since 5 times 5 = 25 exactly, so 25 does not give remainder 2.

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5) Find the remainder of 75 divided by 7.

Explanation

7 times 10 = 70. 75 minus 70 = 5. The remainder is 5. Option A gives 3, which would require 73 divided by 7. Option B gives 4, requiring 74. Option D gives 6, requiring 76. Only 5 correctly represents 75 minus 70.

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6) When a number divides evenly, the remainder is zero.

Explanation

The answer is True. Divides evenly means the division is exact with no amount left over. The remainder measures what is left after dividing, so a remainder of zero confirms the division is exact. For example 18 divided by 6 = 3 exactly, and 35 divided by 5 = 7 exactly, both with zero remainder.

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7) Which number leaves remainder 5 when divided by 9?

Explanation

9 times 2 = 18. 23 minus 18 = 5. The remainder is 5. Option A: 20 divided by 9 = 2 remainder 2. Option C: 26 divided by 9 = 2 remainder 8. Option D: 27 divided by 9 = 3 remainder 0. Only 23 leaves remainder 5.

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8) Which number has remainder 3 when divided by 8?

Explanation

8 times 2 = 16. 19 minus 16 = 3. The remainder is 3. Option A: 15 divided by 8 = 1 remainder 7. Option C: 23 divided by 8 = 2 remainder 7. Option D: 28 divided by 8 = 3 remainder 4. Only 19 gives remainder 3 when divided by 8.

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9) A bus seats 45 people. If 200 are waiting, how many won't fit on full buses?

Explanation

45 times 4 = 180. 200 minus 180 = 20 people remaining. Option A gives 5, which would require 185 waiting. Option C gives 25, requiring 205. Option D gives 30, requiring 210. Only 20 correctly represents 200 minus 180.

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10) Compute 65 divided by 8. What is the remainder?

Explanation

8 times 8 = 64. 65 minus 64 = 1. The remainder is 1. Option A gives 0, meaning 65 would be exactly divisible by 8, but 65 is not a multiple of 8. Option C gives 2, requiring 66. Option D gives 3, requiring 67. Only 1 correctly represents 65 minus 64.

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11) Which of these always leaves remainder 1 when divided by 2?

Explanation

Every odd number is one more than an even number, so dividing any odd number by 2 always leaves a remainder of 1. For example 7 divided by 2 equals 3 remainder 1, and 15 divided by 2 equals 7 remainder 1. Even numbers, multiples of 4, and multiples of 10 are all divisible by 2 and leave remainder 0.

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12) Which number leaves remainder 1 when divided by 9?

Explanation

9 times 2 = 18. 19 minus 18 = 1. The remainder is 1. Option A: 17 divided by 9 = 1 remainder 8. Option C: 27 divided by 9 = 3 remainder 0. Option D: 36 divided by 9 = 4 remainder 0. Only 19 leaves remainder 1 when divided by 9.

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13) A class of 25 students sits in rows of 4. How many are left over in the last row?

Explanation

4 times 6 = 24. 25 minus 24 = 1 student left over. Option A gives 0, meaning 25 would be exactly divisible by 4, but 25 is not a multiple of 4. Option B gives 3, which would require 27 students. Option D gives 2, requiring 26 students. Only 1 correctly represents 25 minus 24.

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14) What is the remainder when 92 is divided by 9?

Explanation

9 times 10 = 90. 92 minus 90 = 2. The remainder is 2. Option A gives 1, which would require 91 divided by 9. Option C gives 3, requiring 93. Option D gives 4, requiring 94. Only 2 correctly represents 92 minus 90.

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15) Which number gives remainder 4 when divided by 7?

Explanation

7 times 3 = 21. 25 minus 21 = 4. The remainder is 4. Option A: 21 divided by 7 = 3 remainder 0. Option C: 28 divided by 7 = 4 remainder 0. Option D: 35 divided by 7 = 5 remainder 0. Only 25 gives remainder 4 when divided by 7.

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16) A farmer has 73 eggs and packs them in cartons of 12. How many remain?

Explanation

12 times 6 = 72. 73 minus 72 = 1 egg remaining. Option A gives 2, which would require 74 eggs. Option C gives 5, requiring 77 eggs. Option D gives 7, requiring 79 eggs. Only 1 correctly represents 73 minus 72.

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17) A baker makes 50 muffins and packs them in boxes of 6. How many are left over?

Explanation

6 times 8 = 48. 50 minus 48 = 2 muffins remaining. Option A gives 3, which would mean 6 times 7 = 42 and 45 minus 42 = 3, but we have 50 not 45. Option C gives 4, option D gives 5, none of which correctly divide 50 by 6.

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18) A number divisible by 8 leaves a remainder of 0 when divided by 8.

Explanation

The answer is True. Divisible means the number can be divided exactly with nothing left over. When a number is divisible by 8, it is a perfect multiple of 8, so the remainder is always 0. For example 24 divided by 8 = 3 exactly, and 40 divided by 8 = 5 exactly, both with remainder 0.

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19) When 47 is divided by 6, what is the remainder?

Explanation

6 times 7 = 42. 47 minus 42 = 5. The remainder is 5. Option A gives 1, which would require 46 divided by 6. Option C gives 3, requiring 45 divided by 6. Option D gives 2, requiring 44 divided by 6. Only 5 is the correct remainder for 47 divided by 6.

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20) Which number leaves remainder 2 when divided by 5?

Explanation

12 divided by 5 equals 2 remainder 2 since 5 times 2 = 10 and 12 minus 10 = 2. Option A: 10 divided by 5 = 2 remainder 0. Option C: 16 divided by 5 = 3 remainder 1 since 5 times 3 = 15. Option D: 20 divided by 5 = 4 remainder 0. Only 12 leaves remainder 2.

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If a number leaves remainder 0 when divided by 5, it is a multiple of...
Which number is divisible by 12 with no remainder?
A fruit seller divides 350 apples into boxes of 24. How many are left...
Select all numbers that give remainder 2 when divided by 5.
Find the remainder of 75 divided by 7.
When a number divides evenly, the remainder is zero.
Which number leaves remainder 5 when divided by 9?
Which number has remainder 3 when divided by 8?
A bus seats 45 people. If 200 are waiting, how many won't fit on full...
Compute 65 divided by 8. What is the remainder?
Which of these always leaves remainder 1 when divided by 2?
Which number leaves remainder 1 when divided by 9?
A class of 25 students sits in rows of 4. How many are left over in...
What is the remainder when 92 is divided by 9?
Which number gives remainder 4 when divided by 7?
A farmer has 73 eggs and packs them in cartons of 12. How many remain?
A baker makes 50 muffins and packs them in boxes of 6. How many are...
A number divisible by 8 leaves a remainder of 0 when divided by 8.
When 47 is divided by 6, what is the remainder?
Which number leaves remainder 2 when divided by 5?
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