Modular Arithmetic Quiz

Math

Grade 6th

CCSS.MATH.CONTENT

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| By Bryceg

Bryceg

Community Contributor

Quizzes Created: 2 | Total Attempts: 6,639

| Attempts: 2,268 | Questions: 5 | Updated: Mar 1, 2025

Question 1 / 5

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1) What's 3 * 7 (mod 5)?

When we say "3 times 7 (mod 5)", we're basically asking what's the remainder when we divide 3 times 7 by 5.

So, we multiply 3 by 7, which is 21. Then, we divide 21 by 5. The result is 4 with a remainder of 1.

That means, when we divide 3 times 7 by 5, the remainder is 1.

Explanation

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About This Quiz

This Modular Arithmetic Quiz assesses understanding of calculations within a modular system, focusing on addition, subtraction, and multiplication modulo a number. It enhances problem-solving skills in a mathematical context, suitable for learners looking to deepen their number theory knowledge.

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2) What's 14 * 2 (modulo 5)?

The expression "14 * 2 (modulo 5)" is asking for the remainder when 14 multiplied by 2 is divided by 5. When we calculate 14 multiplied by 2, we get 28. And when we divide 28 by 5, the remainder is 3. Therefore, the correct answer is 3.

Explanation

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3) What's 4 + 5 (mod 7)?

The question is asking for the sum of 4 and 5 modulo 7. Modulo, denoted by the symbol %, calculates the remainder after division. So, when we divide 9 (4 + 5) by 7, the remainder is 2. Therefore, the correct answer is 2.

Explanation

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4) What's 13 + 30 (mod 4)?

The expression "13 + 30 (mod 4)" means that we need to find the remainder when the sum of 13 and 30 is divided by 4. When we add 13 and 30, we get 43. When 43 is divided by 4, the remainder is 3. So the answer is 3.

Explanation

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All (5)
Unanswered ()
Answered ()

What's 3 * 7 (mod 5)?

What's 14 * 2 (modulo 5)?

What's 4 + 5 (mod 7)?

What's 13 + 30 (mod 4)?

What's 10 - 31 (mod 7)?

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