Applications of Modular Addition

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Cierra Henderson, MBA |
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Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
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| Attempts: 14 | Questions: 10 | Updated: Dec 9, 2025
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Question 1 / 11
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1) A clock shows 8:00. What time will it be in 11 hours?

Explanation

(8 + 11) mod 12 = 19 mod 12 = 7:00.

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About This Quiz
Applications Of Modular Addition - Quiz

From clocks to calendars to repeating schedules, modular addition helps keep track of cycles in everyday life. In this quiz, you’ll apply modular addition to real-world problems like timekeeping, events, and patterns that repeat. Try this quiz and see how modular addition makes sense of cycles all around you!

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2) A week has 7 days. If today is Tuesday, what day will it be in 50 days?

Explanation

50 mod 7 = 1 → one day after Tuesday → Thursday.

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3) A store rotates 6 specials. If special 1 is today, which special is on the 29th day?

Explanation

29 mod 6 = 5 → special 5.

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4) A digital calendar repeats every 12 months. If an event is in April, when will it fall again after 50 months?

Explanation

50 mod 12 = 2 → two months after April = June.

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5) A bus runs every 18 minutes. If the first bus leaves at 9:00, when will the 11th bus leave?

Explanation

10 intervals × 18 min = 180 min = 3 hours → 9:00 + 3:00 = 12:00.

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6) A bus runs every 12 hours. If it leaves at 3:00, when is the next departure after 50 hours?

Explanation

50 mod 12 = 2 → 3 + 2 = 5:00.

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7) A runner circles a 400m track. After running 1300m, how far into the lap are they?

Explanation

1300 mod 400 = 100 m.

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8) A class has lab every 9 days. If the first lab is on day 3, when is the next lab on a day that's a multiple of 10?

Explanation

Labs on days 3, 12, 21, 30… → first multiple of 10 = Day 30.

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9) A clock shows 11:00. What time is it 37 hours later?

Explanation

37 mod 12 = 1 → 11 + 1 = 1:00.

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10) A movie theater alternates 4 movies each day. If movie A plays today, which movie plays on day 19?

Explanation

19 mod 4 = 3 → rotation: A(1), B(2), C(3), D(4) → B.

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Cierra Henderson |MBA |
K-12 Expert
Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
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A clock shows 8:00. What time will it be in 11 hours?
A week has 7 days. If today is Tuesday, what day will it be in 50...
A store rotates 6 specials. If special 1 is today, which special is on...
A digital calendar repeats every 12 months. If an event is in April,...
A bus runs every 18 minutes. If the first bus leaves at 9:00, when...
A bus runs every 12 hours. If it leaves at 3:00, when is the next...
A runner circles a 400m track. After running 1300m, how far into the...
A class has lab every 9 days. If the first lab is on day 3, when is...
A clock shows 11:00. What time is it 37 hours later?
A movie theater alternates 4 movies each day. If movie A plays today,...
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