8th Grade Divisibility Proofs Quizzes, Questions & Answers

8th Grade

Top Trending Divisibility Proofs Quizzes

Divisibility Algebra Quiz: Master Divisibility Algebra Quiz

How do divisibility rules apply when the expressions involve variables instead of plain numbers? In this quiz, you’ll explore how to test algebraic expressions for divisibility by analyzing factors, rewriting terms, and...

Questions: 20 | Attempts: 10 | Last updated: Dec 17, 2025

Sample Question 1
A number n is divisible by 4. Which equation represents this?

N = 2k

N = 3k

N = 4k

N = 5k

Sample Question 2
Which equation represents numbers that leave a remainder of 2 when divided by 5?

N = 5k

N = 5k + 1

N = 5k + 2

N = 5k − 2

Sample Question 3
If n = 6k, then n is divisible by both 2 and 3.

True

False

Recent Divisibility Proofs Quizzes

Divisibility by 3 and 9 Quiz: Digit Sum Divisibility by 3 and 9

Why do digit sums reveal whether a number is divisible by 3 or 9? In this quiz, you’ll explore the logic behind the rule and apply it to a variety of numbers. You’ll practice summing digits, checking divisibility...

Questions: 20 | Attempts: 10 | Last updated: Dec 17, 2025

Sample Question
Why does the digit-sum test work for divisibility by 3?

Because 10 ≡ 1 (mod 3), so 10^k ≡ 1 and the number ≡ sum of its digits (mod 3)

Because powers of 10 are all multiples of 3

Because every number’s digits are multiples of 3

Because 3 divides every even number

Algebraic Proofs of Divisibility

Numbers follow patterns, and algebra is the key to proving them! In this quiz, you’ll use algebraic expressions like n = 2k and n = 3k to show when numbers are divisible by 2, 3, 5, 9, and more. You’ll also explore...

Questions: 15 | Attempts: 10 | Last updated: Jan 19, 2026

Sample Question
A number leaves a remainder of 2 when divided by 5. Which equation represents this situation?

N = 5k

N = 5k + 1

N = 5k + 2

N = 5k - 2