Art of Problem Solving

Art of Problem Solving

Math texts, online classes, and more
for students in grades 5-12.

Visit AoPS Online ‚

Books for Grades 5-12 Online Courses

Engaging math books and online learning
for students ages 6-13.

Visit Beast Academy ‚

Books for Ages 6-13 Beast Academy Online

Small live classes for advanced math
and language arts learners in grades 2-12.

Visit AoPS Academy ‚

Find a Physical Campus Visit the Virtual Campus

Class Schedule Recommendations Olympiad Courses Free Sessions

AoPS Curriculum Beast Academy Online Books Recommendations Other Books & Gear All Products Gift Certificates

Forums Contests Search Help

math training & tools Alcumus Videos For the Win! MATHCOUNTS Trainer AoPS Practice Contests AoPS Wiki LaTeX TeXeR MIT PRIMES/CrowdMath Keep Learning All Ten

contests on aops Practice Math Contests

news AoPS Blog Webinars

view all 0

During AMC 10A/12A testing, the AoPS Wiki is in read-only mode and no edits can be made.

Resources Aops Wiki 2019 AMC 8 Problems/Problem 21: Revision history

Page

ArticleDiscussionReadView sourceView history

Toolbox

Recent changesRandom pageHelpWhat links hereAtomSpecial pages

Search

2019 AMC 8 Problems/Problem 21: Revision history

View logs for this page

Filter revisionsExpandCollapse

To date:

Tag filter:

Invert selection

Diff selection: Mark the radio buttons of the revisions to compare and hit enter or the button at the bottom.
Legend: (cur) = difference with latest revision, (prev) = difference with preceding revision, m = minor edit.

(newest | oldest) View (newer 50 | older 50) (20 | 50 | 100 | 250 | 500)

18 August 2025

curprev 14:0014:00, 18 August 2025 Robertewdpew talk contribs 3,924 bytes +331 →Solution 2

11 August 2025

curprev 16:5416:54, 11 August 2025 Wjy zhi talk contribs 3,593 bytes −1 →Solution 1
curprev 16:5316:53, 11 August 2025 Wjy zhi talk contribs m 3,594 bytes +2 →Solution 1

6 June 2025

curprev 11:4511:45, 6 June 2025 Aoum talk contribs 3,592 bytes +45 →Categorized problem

6 January 2025

curprev 16:4116:41, 6 January 2025 Wrenmath talk contribs 3,547 bytes +26 →Solution 1
curprev 16:4016:40, 6 January 2025 Wrenmath talk contribs 3,521 bytes −26 →Video Solution by Pi Academy

9 November 2024

curprev 09:1509:15, 9 November 2024 Dreeeded talk contribs 3,547 bytes −3 No edit summary

30 October 2024

curprev 17:5617:56, 30 October 2024 Stemivy1 talk contribs m 3,550 bytes −141 No edit summary

17 January 2024

curprev 06:2306:23, 17 January 2024 Issackwon talk contribs 3,691 bytes 0 →Video Solution by Marshmallow
curprev 06:2106:21, 17 January 2024 Issackwon talk contribs 3,691 bytes +63 →Video Solutions

30 December 2023

curprev 11:4211:42, 30 December 2023 Math-x talk contribs 3,628 bytes +150 No edit summary

6 August 2023

curprev 18:4818:48, 6 August 2023 Hayabusa1 talk contribs 3,478 bytes +114 →Video Solution (CREATIVE THINKING!!!)

4 March 2023

curprev 12:4112:41, 4 March 2023 Thestudyofeverything talk contribs 3,364 bytes +108 →Video Solution by OmegaLearn

3 January 2023

curprev 23:4223:42, 3 January 2023 Pi is 3.14 talk contribs m 3,256 bytes +85 →See Also

21 December 2022

curprev 07:4207:42, 21 December 2022 Saxstreak talk contribs m 3,171 bytes +4 →Video Solutions
curprev 07:4107:41, 21 December 2022 Saxstreak talk contribs m 3,167 bytes +7 →Solution 1

7 November 2022

curprev 15:3715:37, 7 November 2022 Eashanshetty talk contribs 3,160 bytes +21 →Video Solutions
curprev 15:3615:36, 7 November 2022 Eashanshetty talk contribs 3,139 bytes +52 →Video Solutions

7 February 2022

curprev 11:3511:35, 7 February 2022 Savannahsolver talk contribs 3,087 bytes 0 →Video Solutions

4 January 2022

curprev 13:5813:58, 4 January 2022 Yanes04 talk contribs 3,087 bytes 0 →Solution 3

28 July 2021

curprev 14:5314:53, 28 July 2021 Problemsolver2026 talk contribs 3,087 bytes +94 →Video Solutions

15 March 2021

curprev 13:5113:51, 15 March 2021 Sophie cox talk contribs m 2,993 bytes 0 →Solution 1

16 January 2021

curprev 19:4819:48, 16 January 2021 Happytwin talk contribs m 2,993 bytes +12 →Video Solutions

26 December 2020

curprev 22:3122:31, 26 December 2020 Panda08 talk contribs m 2,981 bytes +1 →Solution 1
curprev 22:3122:31, 26 December 2020 Panda08 talk contribs m 2,980 bytes −1 →Solution 1

16 December 2020

curprev 15:2415:24, 16 December 2020 Vincentwant talk contribs 2,981 bytes +624 No edit summary

6 December 2020

curprev 09:4009:40, 6 December 2020 Sum-of-sums talk contribs m 2,357 bytes −86 →Video Solutions

30 November 2020

curprev 21:0221:02, 30 November 2020 Savannahsolver talk contribs 2,443 bytes +47 →Video Solutions

22 November 2020

curprev 16:4316:43, 22 November 2020 StellarG talk contribs m 2,396 bytes +64 →Video Solutions

8 November 2020

curprev 21:0121:01, 8 November 2020 Terribleteeth talk contribs m 2,332 bytes +2 →Solution 1

7 November 2020

curprev 12:3212:32, 7 November 2020 Ab2024 talk contribs m 2,330 bytes +931 →Solution 1

24 October 2020

curprev 19:3619:36, 24 October 2020 Andrewaudrey02 talk contribs m 1,399 bytes −44 →Solution 2
curprev 19:3619:36, 24 October 2020 Andrewaudrey02 talk contribs m 1,443 bytes −46 →Solution 1

22 October 2020

curprev 09:5809:58, 22 October 2020 Saiborg21 talk contribs m 1,489 bytes 0 →Solution 2

18 October 2020

curprev 20:1020:10, 18 October 2020 Mathboy282 talk contribs m 1,489 bytes −10 →Video explaining solution

13 September 2020

curprev 20:4120:41, 13 September 2020 Sum-of-sums talk contribs 1,499 bytes +86 →Video explaining solution

18 August 2020

curprev 19:5319:53, 18 August 2020 Bakedpotato66 talk contribs m 1,413 bytes +1 →Solution 1
curprev 19:5319:53, 18 August 2020 Bakedpotato66 talk contribs m 1,412 bytes +1 →Solution 2
curprev 19:5319:53, 18 August 2020 Bakedpotato66 talk contribs m 1,411 bytes +14 →Solution 2
curprev 19:5219:52, 18 August 2020 Bakedpotato66 talk contribs m 1,397 bytes +71 →Solution 2
curprev 19:5119:51, 18 August 2020 Bakedpotato66 talk contribs m 1,326 bytes +54 →Solution 1

28 June 2020

curprev 23:3023:30, 28 June 2020 Actonmathnasium talk contribs 1,272 bytes +102 →Video explaining solution

6 May 2020

curprev 14:0914:09, 6 May 2020 Happytwin talk contribs 1,170 bytes +48 →Solution 2

14 April 2020

curprev 13:5413:54, 14 April 2020 Mauberry talk contribs m 1,122 bytes +72 No edit summary

27 November 2019

curprev 15:5415:54, 27 November 2019 A1597412 talk contribs m 1,050 bytes 0 →Solution 1

23 November 2019

curprev 13:3313:33, 23 November 2019 Heeeeeeeheeeee talk contribs 1,050 bytes −11 →Solution 1
curprev 13:3313:33, 23 November 2019 Heeeeeeeheeeee talk contribs 1,061 bytes +11 →Solution 1

21 November 2019

curprev 11:5011:50, 21 November 2019 Heeeeeeeheeeee talk contribs 1,050 bytes +13 →Solution 1
curprev 11:4911:49, 21 November 2019 Heeeeeeeheeeee talk contribs 1,037 bytes +39 →Solution 1

20 November 2019

curprev 21:1721:17, 20 November 2019 Smilekat32 talk contribs 998 bytes +257 No edit summary

(newest | oldest) View (newer 50 | older 50) (20 | 50 | 100 | 250 | 500)

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2019_AMC_8_Problems/Problem_21"

Art of Problem Solving is an
ACS WASC Accredited School

aops programs

About

Site Info

follow us

Subscribe for news and updates

© 2025 AoPS Incorporated

© 2025 Art of Problem Solving

About Us • Contact Us • Terms • Privacy

Copyright © 2025 Art of Problem Solving

Something appears to not have loaded correctly.

Click to refresh.