Modular Arithmetic Worksheets
Free printable modular arithmetic worksheets with step-by-step answer keys. Every worksheet is uniquely generated so students never see the same problems twice. Topics covered range from simple a mod n at the easy level through to linear congruence ax ≡ b (mod n), gcd(a, n) = 1 at the advanced level.
LK20.13
Difficulty Levels
Beginner
- Concepts
- Simple a mod n
- Number Range
- a < 50, n < 10
- Steps
- 3 steps
- Example
- 47 mod 6
Easy
- Concepts
- Congruence check a ≡ b (mod n)
- Number Range
- a, b < 60, n ≤ 12
- Steps
- 3 steps
- Example
- Is 17 ≡ 5 (mod 6)?
Medium
- Concepts
- Modular addition / multiplication: (a + b) mod n, (a × b) mod n
- Number Range
- a, b ≤ 30, n ≤ 15
- Steps
- 3 steps
- Example
- (5 × 7) mod 9
Hard
- Concepts
- Linear congruence ax ≡ b (mod n), gcd(a, n) = 1
- Number Range
- a ≤ 9, n ≤ 13
- Steps
- 3 steps
- Example
- Solve 3x ≡ 5 (mod 7)
Grade Availability
Modular Arithmetic worksheets are available for Grade 13. Problems are automatically adjusted to match grade-level expectations in number range, complexity, and notation.
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