Exercises: Clock Arithmetic (Modular Arithmetic)
Work through each section in order. Picture a clock face for every add/subtract/multiply problem.
Recall / Warm-Up
On a straight number line (like a temperature scale), can you keep counting forward forever without returning to where you started?
No — it eventually loops back
Yes — a straight number line never loops back
How many positions are on a standard clock face (1 through 12)?
If you count forward from 10, what number comes right after 12?
Fluency Practice
Start at 10 on a clock and go forward 4. Where do you land?
14
2
Compute 9 + 5 on a 12-hour clock. Give the clock position (1-12).
Compute 3 − 7 on a 12-hour clock. Give the clock position (1-12).
Compute 11 + 6 on a 12-hour clock. Give the clock position (1-12).
Compute 4 × 5 on a 12-hour clock (repeated addition, then wrap). Give the clock position (1-12).
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