Basics of Modular Addition

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Cierra Henderson, MBA |
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Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
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| Attempts: 13 | Questions: 10 | Updated: Dec 9, 2025
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1) Compute: (7 + 5) mod 6

Explanation

7 + 5 = 12 → 12 mod 6 = 0.

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About This Quiz
Basics Of Modular Addition - Quiz

What happens when you keep adding numbers but only care about the remainder? That’s modular addition! In this quiz, you’ll practice adding numbers under a modulus, learn to simplify expressions like (a + b) mod n, and get comfortable with the basic rules. Take this quiz to start building confidence... see morewith modular addition step by step.
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2) Compute: (14 + 9) mod 7

Explanation

14 + 9 = 23 → 23 mod 7 = 1.

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3) Which of these is equivalent to (11 + 15) mod 10?

Explanation

11 + 15 = 26 → 26 mod 10 = 6

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4) Compute: (100 + 25) mod 12

Explanation

125 mod 12 = 5

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5) If 45 ≡ 9 (mod 12), then (45 + 20) mod 12 = ?

Explanation

9 + 20 = 29 → 29 mod 12 = 5

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6) If x ≡ 3 (mod 5) and y ≡ 4 (mod 5), then x + y ≡ ? (mod 5)

Explanation

3 + 4 = 7 → 7 mod 5 = 2

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7) Simplify: (28 + 35) mod 9

Explanation

28 + 35 = 63 → 63 mod 9 = 0.

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8) If a ≡ 7 (mod 8) and b ≡ 5 (mod 8), then a + b ≡ ? (mod 8)

Explanation

7 + 5 = 12 → 12 mod 8 = 4

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9) Compute: (19 + 23) mod 7

Explanation

19 + 23 = 42 → 42 mod 7 = 0

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10) Compute: (56 + 39) mod 10

Explanation

56 + 39 = 95 → 95 mod 10 = 5.

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Cierra Henderson |MBA |
K-12 Expert
Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
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Compute: (7 + 5) mod 6
Compute: (14 + 9) mod 7
Which of these is equivalent to (11 + 15) mod 10?
Compute: (100 + 25) mod 12
If 45 ≡ 9 (mod 12), then (45 + 20) mod 12 = ?
If x ≡ 3 (mod 5) and y ≡ 4 (mod 5), then x + y ≡ ?...
Simplify: (28 + 35) mod 9
If a ≡ 7 (mod 8) and b ≡ 5 (mod 8), then a + b ≡ ?...
Compute: (19 + 23) mod 7
Compute: (56 + 39) mod 10
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