blackpenredpen | I found a real analysis question on an old SAT subject test @blackpenredpen | Uploaded 2 years ago | Updated 7 hours ago
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I would say this is the most pure-math question on SAT. This is a pretty hard SAT math problem for high school students because it's more like real analysis than the usual math taught at high school.
Back story: My math teaching journey started as a volunteer SAT math instructor in a student group at UC Berkeley called the People's Test Preparation Service. This SAT math subject level 2 question was really hard and confusing, especially for high school students who are not familiar with the mathematical language. I did not do a good job of explaining this to my students so I decided to try again after 10+ years! The question is: which of the following has an element that is less than any other element in that set?
I. The set of positive rational numbers
II. The set of positive rational numbers r such that r^2 is greater than or equal to 2
III. The set of positive rational numbers r such that r^2 is greater than 4
Answer choices: (A) none (B) I only (C) II only (D) III only (E) I and III
This question is from an old officially released SAT math subject test amzn.to/3uI9HZC By the way, I just learned that The College Board has discontinued the SAT subject tests in 2021.
Subscribe for more math for fun videos π bit.ly/3o2fMNo
If you need more help with your class, check out my just calculus tutorial channel: youtube.com/justcalculus
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10% off with the code "WELCOME10"
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I would say this is the most pure-math question on SAT. This is a pretty hard SAT math problem for high school students because it's more like real analysis than the usual math taught at high school.
Back story: My math teaching journey started as a volunteer SAT math instructor in a student group at UC Berkeley called the People's Test Preparation Service. This SAT math subject level 2 question was really hard and confusing, especially for high school students who are not familiar with the mathematical language. I did not do a good job of explaining this to my students so I decided to try again after 10+ years! The question is: which of the following has an element that is less than any other element in that set?
I. The set of positive rational numbers
II. The set of positive rational numbers r such that r^2 is greater than or equal to 2
III. The set of positive rational numbers r such that r^2 is greater than 4
Answer choices: (A) none (B) I only (C) II only (D) III only (E) I and III
This question is from an old officially released SAT math subject test amzn.to/3uI9HZC By the way, I just learned that The College Board has discontinued the SAT subject tests in 2021.
Subscribe for more math for fun videos π bit.ly/3o2fMNo
If you need more help with your class, check out my just calculus tutorial channel: youtube.com/justcalculus
π Shop math t-shirts & hoodies: http://bit.ly/bprpmerch
10% off with the code "WELCOME10"
----------------------------------------
***Thanks to ALL my lovely patrons for supporting my channel and believing in what I do***
AP-IP Ben Delo Marcelo Silva Ehud Ezra 3blue1brown Joseph DeStefano
Mark Mann Philippe Zivan Sussholz AlkanKondo89 Adam Quentin Colley
Gary Tugan Stephen Stofka Alex Dodge Gary Huntress Alison Hansel
Delton Ding Klemens Christopher Ursich buda Vincent Poirier Toma Kolev
Tibees Bob Maxell A.B.C Cristian Navarro Jan Bormans Galios Theorist
Robert Sundling Stuart Wurtman Nick S William O'Corrigan Ron Jensen
Patapom Daniel Kahn Lea Denise James Steven Ridgway Jason Bucata
Mirko Schultz xeioex Jean-Manuel Izaret Jason Clement robert huff
Julian Moik Hiu Fung Lam Ronald Bryant Jan ΕehΓ‘k Robert Toltowicz
Angel Marchev, Jr. Antonio Luiz Brandao SquadriWilliam Laderer Natasha Caron Yevonnael Andrew Angel Marchev Sam Padilla ScienceBro Ryan Bingham
Papa Fassi Hoang Nguyen Arun Iyengar Michael Miller Sandun Panthangi
Skorj Olafsen Riley Faison Rolf Waefler Andrew Jack Ingham P Dwag Jason Kevin Davis Franco Tejero Klasseh Khornate Richard Payne Witek Mozga Brandon Smith Jan Lukas Kiermeyer Ralph Sato Kischel Nair Carsten Milkau Keith Kevelson Christoph Hipp Witness Forest Roberts Abd-alijaleel Laraki Anthony Bruent-Bessette Samuel Gronwold Tyler Bennett christopher careta Troy R Katy Lap C Niltiac, Stealer of Souls Jon Daivd R meh Tom Noa Overloop Jude Khine R3factor. Jasmine
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πͺ If you would also like to support this channel and have your name in the video description, then you could become my patron here patreon.com/blackpenredpen
