Real-World Applications of Modular Multiplication

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1) A digital clock shows 3:00. After multiplying 3 hours × 4 alarms (mod 12), what time will the alarms overlap?

Explanation

3 × 4 = 12; 12 mod 12 = 0 → 12:00.

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About This Quiz
Real-world Applications Of Modular Multiplication - Quiz

From digital clocks to games, modular multiplication is everywhere! In this quiz, you’ll solve practical problems where multiplying under “mod” rules explains real-life cycles, rotations, and patterns. Try this quiz to connect modular math to everyday situations and sharpen your problem-solving skills.

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2) A warehouse packs boxes of 8 items. If 7 workers each fill 9 boxes, how many items remain if counted mod 8?

Explanation

7 × 9 = 63 boxes, each with 8 items → 63×8 is a multiple of 8, remainder 0.

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3) A spinner game has 9 positions. A player spins 12 × 5 times. Where do they land (mod 9)?

Explanation

12 × 5 = 60; 60 mod 9 = 6.

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4) A festival has 10 booths. Tickets are grouped in packs of 7. If someone buys 13 packs, how many tickets align with booths (mod 10)?

Explanation

13 × 7 = 91; 91 mod 10 = 1.

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5) A baker bakes trays of 12 pastries. If 25 batches of 8 pastries are made (200 pastries total), how many pastries are left over after filling complete trays of 12?

Explanation

200 ÷ 12 = 16 trays (192 pastries), remainder 8.

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6) A classroom rotates 5 science kits among 8 groups. After 7 rotations, each kit moves 5 groups forward each time. What is each kit’s final position offset from its starting group, modulo 8?

Explanation

7 × 5 = 35; 35 mod 8 = 3.

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7) A code lock resets every 9 turns. If a student enters 14 × 6 turns, where will it stop (mod 9)?

Explanation

14 × 6 = 84; 84 mod 9 = 3.

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8) A Ferris wheel has 16 seats. If 7 people ride 11 times each, which seat number matches their exit seat (mod 16)?

Explanation

7 × 11 = 77; 77 mod 16 = 13.

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9) A chess clock counts moves mod 5. If 18 × 4 moves are made, what is the position on the counter?

Explanation

18 × 4 = 72; 72 mod 5 = 2.

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10) A rocket system checks every 20 seconds and another system checks every 18 seconds. If multiplied cycles are considered (mod 60), when will both check align?

Explanation

20 × 18 = 360; 360 mod 60 = 0 → both align at the start.

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A digital clock shows 3:00. After multiplying 3 hours × 4 alarms (mod...
A warehouse packs boxes of 8 items. If 7 workers each fill 9 boxes,...
A spinner game has 9 positions. A player spins 12 × 5 times. Where do...
A festival has 10 booths. Tickets are grouped in packs of 7. If...
A baker bakes trays of 12 pastries. If 25 batches of 8 pastries are...
A classroom rotates 5 science kits among 8 groups. After 7 rotations,...
A code lock resets every 9 turns. If a student enters 14 × 6 turns,...
A Ferris wheel has 16 seats. If 7 people ride 11 times each, which...
A chess clock counts moves mod 5. If 18 × 4 moves are made, what is...
A rocket system checks every 20 seconds and another system checks...
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