Modulo Patterns Quiz: Discover Number Remainders

1) When you divide 17 by 5, what is the remainder?

1

2

3

4

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

Explanation

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

2) When 25 is divided by 7, the remainder is 4.

True

False

7 × 3 = 21; 25 – 21 = 4.

Explanation

7 × 3 = 21; 25 – 21 = 4.

Submit

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

0

2

8

10

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

Explanation

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

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

7

10

17

20

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

Explanation

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

Submit

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

3, 7, 11

4, 8, 12

5, 9, 13

6, 10, 14

3 → 3; 7 – 4×1 = 3; 11 – 4×2 = 3.

Explanation

3 → 3; 7 – 4×1 = 3; 11 – 4×2 = 3.

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

True

False

Even numbers are multiples of 2 → remainder 0.

Explanation

Even numbers are multiples of 2 → remainder 0.

Submit

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

3

4

5

6

1, 4, 7, 10 → 4 numbers.

Explanation

1, 4, 7, 10 → 4 numbers.

10) Which statements are true?

45 ÷ 10 rem 5

81 ÷ 9 rem 0

50 ÷ 6 rem 2

100 ÷ 4 rem 0

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

Explanation

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

Submit

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

1

2

3

4

Last digit = 3 → remainder 3.

Explanation

Last digit = 3 → remainder 3.

Submit

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

True

False

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

Explanation

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

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

3

4

5

6

5, 10, 15, 20 → 4 numbers.

Explanation

5, 10, 15, 20 → 4 numbers.

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

5

8

13

16

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

Explanation

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

Submit

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

1

2

3

5

6 × 5 = 30; 35 – 30 = 5.

Explanation

6 × 5 = 30; 35 – 30 = 5.

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

True

False

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

Explanation

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

Submit

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

2

3

4

5

11, 14, 17 → 3 numbers.

Explanation

11, 14, 17 → 3 numbers.

Modulo Patterns Quiz: Discover Number Remainders

1) When you divide 17 by 5, what is the remainder?

2)

What first name or nickname would you like us to use?

2) When 25 is divided by 7, the remainder is 4.

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

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

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

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

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

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

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

10) Which statements are true?

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

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

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

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

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

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

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

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

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

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