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Floor and Ceiling (Easy)

AMC 10 Q1–8 depth — contest entry, not school drills.

EasyMediumHardAIME / USAJMO / AMO

Floor and Ceiling: core idea

Definition.

Example problem: hint and answer

Find ⌊3.7⌋\lfloor 3.7\rfloor.

Hint: Floor rounds down; ceiling rounds up. Answer: 3.

Practice (9 problems — type your answers)

  • 1. Find ⌈3.1⌉\lceil 3.1\rceil.

  • 2. Find ⌊−2.3⌋\lfloor -2.3\rfloor.

  • 3. Find ⌈−2.3⌉\lceil -2.3\rceil.

  • 4. Find ⌊7⌋\lfloor 7\rfloor.

  • 5. Find ⌈−5⌉\lceil -5\rceil.

  • 6. Find ⌊11/3⌋\lfloor 11/3\rfloor.

  • 7. Find ⌈11/3⌉\lceil 11/3\rceil.

  • 8. Find ⌊20⌋\lfloor \sqrt{20}\rfloor.

  • 9. Find ⌈20⌉\lceil \sqrt{20}\rceil.

Floor and Ceiling Practice Problems — Easy