Remainders and Congruences in Mathematics
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Thomas White
FREE Resource
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42 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary concept behind modular arithmetic?
It is a system of arithmetic for irrational numbers.
It is a system of arithmetic for complex numbers.
It is a system of arithmetic for integers that wraps around after reaching a certain value.
It is a system of arithmetic for fractions.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In modular arithmetic, what is the term used for the value at which numbers wrap around?
Dividend
Remainder
Quotient
Modulus
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is modular arithmetic important in cryptography?
It is used for measuring angles.
It is used for calculating interest rates.
It is the central mathematical concept in cryptography.
It helps in solving linear equations.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does a 24-hour clock illustrate the concept of modulus?
By using 6 numbers to represent 24 hours.
By using 12 numbers to represent 24 hours, wrapping around every 12 hours.
By using 24 numbers to represent minutes.
By using 24 numbers to represent hours.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does it mean when we say 15 is congruent to 3 mod 12?
15 divided by 12 gives a remainder of 3.
15 divided by 12 gives a quotient of 3.
15 is equal to 3.
15 is greater than 3.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which symbol is used to represent congruence in modular arithmetic?
=
≈
≠
≡
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the remainder when 23 is divided by 12?
1
23
11
12
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