Modular Arithmetic Operations: Level 1 Challenges Practice Problems Online

What is the last digit when

$1234 \times 5678$

is multiplied out?

If today is a Monday, then what day will it be 100 days later?

$\LARGE \color{#D61F06} 5^{\color{#3D99F6}8^{\color{#20A900}{12}^{\color{#69047E}{15}^{\color{#624F41}{104}}}}} + \color{#D61F06}1$

Determine the smallest prime divisor of the gigantic number above.

One of the seven goblets above is made of real gold. If you start counting at A and wind back and forth while counting (A, B, C, D, E, F, G, F, E, D, ...), then the golden goblet would be the $1000^\text{th}$ one that you count.

Which one is the golden goblet?

A B C D E F G

If $a$ is a negative odd number and $b$ is a positive even number, then which of the following must be a positive even number?

Concept Quizzes

Challenge Quizzes

Modular Arithmetic Operations: Level 1 Challenges

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 7 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.