benchmarks.wiki / Public workspace

MATH / To calculate 42², Emily mentally figures the value 40² and adds 164. Emily subtracts a number from 40² to calculate 38². What number does she subtract?

Problem

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

problem

To calculate 42242^2, Emily mentally figures the value 40240^2 and adds 164164. Emily subtracts a number from 40240^2 to calculate 38238^2. What number does she subtract?
Plain-text mathematical notation (without MathML)
To calculate 42², Emily mentally figures the value 40² and adds 164. Emily subtracts a number from 40² to calculate 38². What number does she subtract?
Original LaTeX notation
To calculate $42^2$, Emily mentally figures the value $40^2$ and adds $164$. Emily subtracts a number from $40^2$ to calculate $38^2$. What number does she subtract?

level

Level 2

type

Algebra

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

Official source

initial import