benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / Euclid, Pythagoras, Ptolemy, and Hypatia are playing a game where they all have…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Euclid, Pythagoras, Ptolemy, and Hypatia are playing a game where they all have to think of a number, and then cube that number 20 times. Hypatia doesn't want to cube large numbers, so she chooses the number 1. Euclid thinks the same thing and also chooses the number 1. However, Pythagoras and Ptolemy don't think ahead and Pythagoras chooses 2 and Ptolemy chooses -2. After they finish cubing their numbers (Pythagoras and Ptolemy take a while), all four players write their final numbers on a piece of paper. What is the sum of the numbers they wrote on the piece of paper?

level

Level 2

type

Prealgebra

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
7ee054fe-0f4a-594c-a61d-77dc0b85aad5
task_key
prealgebra--test--7ee054fe-0f4a-594c-a61d-77dc0b85aad5
task_revision_id
1
config / split
prealgebra / test

Official source

initial import