2020 Tests and Solutions
Note: We have accepted protests to Accuracy #6, Speed #12 and #18. We will reach out to you in the near future regarding prizes.
Top 50 Individuals
| Rank | Name | School |
| 1 | Bohan Yao | Timberline Middle School |
| 2 | Zachary Perry | Jonas Clarke Middle School |
| 3 | Tanishq Pauskar | Anonymous Cow |
| 4 | Andrew Zhao | Jonas Clarke Middle School |
| 5 | Aaron Hu | Deerlake Middle School |
| 6 | Alexander Li | Williams Middle Magnet |
| 7 | Alex Chen | Lawson Middle School |
| 8 | Alan Jefferson | Longfellow MS |
| 9 | Alan Bu | Bethlehem Central Middle School |
| 10 | Aidan Duncan | Jonas Clarke Middle School |
| 11 | Brian Bi | Challenger Berryessa |
| 12 | Sohil Rathi | Miller Middle School |
| 13 | Jason Aston | Esten Middle School |
| 14 | Vivian Loh | Winchester Thurston School |
| 15 | Alex Wa | Hull Middle School |
| 16 | Jordan Lefkowitz | Mansfield Middle School |
| 17 | Jiahe Liu | Gibbs |
| 18 | Anonymous Fluffy | Anonymous Dog |
| 19 | Elliott Liu | Carmel Valley Middle School |
| 20 | Jeffrey Xu | Stony Brook Middle School |
| 21 | Ivy Zheng | William Diamond Middle School |
| 22 | Anonymous Kangaroo | Anonymous Beaver |
| 23 | Andy Xu | William Diamond Middle School |
| 24 | Wilbert Chu | Westview hills middle school |
| 25 | Anonymous Parrot | Anonymous Bug |
| 26 | Nikhil Mathihalli | Redwood Middle School |
| 27 | Sanjay Agarwal | Challenger School |
| 28 | Catherine Li | Basis Independent Silicon Valley |
| 29 | Edison Shen | Carmel Valley Middle School |
| 30 | Raymond Gao | Blanchard |
| 31 | Jason Mao | Lazar Middle School |
| 32 | Brian Xue | Miller Middle School |
| 33 | Vishnu Mangipudi | Odle Middle School |
| 34 | Alan Song | Wellesley Middle School |
| 35 | Jerry Li | RJ Grey |
| 36 | Alan Huan | Benthel |
| 37 | David Lee | BASIS Independent Silicon Valley |
| 38 | Michael Voigt | Chenery Middle School |
| 39 | Athena Wang | William Diamond Middle School |
| 40 | Anonymous Elephant | Anonymous Shark |
| 41 | Aaron Zhou | Rice Middle School |
| 42 | Olivia Xu | The Harker School |
| 43 | Adam Ge | Norman E. Day School |
| 44 | Neel Kolhe | Joaquin Miller Middle School |
| 45 | William Zhao | Windemere Ranch Middle School |
| 46 | Jacopo Rizzo | Carmel Valley Middle School |
| 47 | Ethan Han | Harvest Park middle school |
| 48 | Aiden Feyerherm | BASIS Independent Mclean |
| 49 | Daniel Kim | Miller Middle School |
| 50 | Maureen Zhang | Calkins Road Middle School |
Top 50 Eighth Graders
| Rank | Name | School |
| 1 | Zachary Perry | Jonas Clarke Middle School |
| 2 | Tanishq Pauskar | Anonymous Elephant |
| 3 | Andrew Zhao | Jonas Clarke Middle School |
| 4 | Aaron Hu | Deerlake Middle School |
| 5 | Alexander Li | Williams Middle Magnet |
| 6 | Alan Jefferson | Longfellow Middle School |
| 7 | Alan Bu | Bethlehem Central Middle School |
| 8 | Aidan Duncan | Jonas Clarke Middle School |
| 9 | Vivian Loh | Winchester Thurston School |
| 10 | Alex Wa | Hull Middle School |
| 11 | Jordan Lefkowitz | Mansfield Middle School |
| 12 | Elliott Liu | Carmel Valley Middle School |
| 13 | Ivy Zheng | William Diamond Middle School |
| 14 | Andy Xu | William Diamond Middle School |
| 15 | Wilbert Chu | Westview Hills Middle School |
| 16 | Nikhil Mathihalli | Redwood Middle School |
| 17 | Sanjay Agarwal | Challenger School |
| 18 | Catherine Li | Basis Independent Silicon Valley |
| 19 | Edison Shen | Carmel Valley Middle School |
| 20 | Alan Song | Wellesley Middle School |
| 21 | Jerry Li | RJ Grey |
| 22 | David Lee | BASIS Independent Silicon Valley |
| 23 | Michael Voigt | Chenery Middle School |
| 24 | Athena Wang | William Diamond Middle School |
| 25 | Aaron Zhou | Rice Middle School |
| 26 | Olivia Xu | The Harker School |
| 27 | Anonymous Kangaroo | Joaquin Miller Middle School |
| 28 | Jacopo Rizzo | Carmel Valley Middle School |
| 29 | Ethan Han | Harvest Park middle school |
| 30 | Maureen Zhang | Calkins Road Middle School |
| 31 | Elena Baskakova | Oak Hill Middle School |
| 32 | Shaan Keole | BASIS Phoenix |
| 33 | Nikhil Sampath | Lake Norman Charter |
| 34 | Eddie Wei | McCall Middle School |
| 35 | Justin Mo | CCC Math |
| 36 | Ryan Vir | Fletcher Middle School |
| 37 | Anonymous Giraffe | Anonymous Sponge |
| 38 | James Lian | CCC Math |
| 39 | Aaron Lu | Oak Hill Middle School |
| 40 | Derek Gao | Jonas Clarke Middle School |
| 41 | Carter Weiss | Elite Academic Academy |
| 42 | Ethan Hao | Rice Middle School |
| 43 | Anonymous Elk | Fenn School |
| 44 | Krishna Pothapragada | Kennedy Junior High |
| 45 | Taiga Nishida | Benjamin Franklin Intermediate School |
| 46 | Anthony Xu | Ereckson Middle School |
| 47 | Kevin Wang | Fowler Middle School |
| 48 | Melissa Li | Abraham Lincoln Middle |
| 49 | David Zhou | Diamond Middle School |
| 50 | Justin Lai | Quail Valley Middle School |
Top 50 Seventh Graders
| Rank | Name | School |
| 1 | Bohan Yao | Timberline Middle School |
| 2 | Alex Chen | Lawson Middle School |
| 3 | Brian Bi | Challenger Berryessa |
| 4 | Anonymous Hippo | Anonymous Chicken |
| 5 | Anonymous Goat | Anonymous Piglet |
| 6 | Jason Mao | Lazar Middle School |
| 7 | Brian Xue | Miller Middle School |
| 8 | William Zhao | Windemere Ranch Middle School |
| 9 | Aiden Feyerherm | BASIS Independent Mclean |
| 10 | Daniel Kim | Miller Middle School |
| 11 | Avish Kumar | William H. Galvin Middle School |
| 12 | Henry Han | Wayland Middle School |
| 13 | Isaac Sun | Basis Independent Silicon Valley |
| 14 | Jacob Xu | William Diamond Middle School |
| 15 | Corey Zhao | Jonas Clarke Middle School |
| 16 | Jonathan Xue | The Harker School |
| 17 | Leo Yu | Quail Valley Middle School |
| 18 | Vincent Lo | Chaboya Middle School |
| 19 | Andrew Xing | Lincoln Middle School |
| 20 | Rohith Raghavan | Sharon Middle School |
| 21 | Gore Fee | Harvest Park Middle School |
| 22 | Matthew Qian | RJ Grey |
| 23 | Daniel Wang | Stony Brook |
| 24 | Aaron Huang | Pike School |
| 25 | Steven Hu | Oak Hill Middle School |
| 26 | Anonymous Tree | Anonymous Oak |
| 27 | Ethan Feng | Shadow Ridge Middle School |
| 28 | Linyang Lee | St. Mark’s School of Texas |
| 29 | Derek Zhao | Stony Brook Middle School |
| 30 | Brian Hu | Daniel Wright Jr. High |
| 31 | Christopher Guo | Richard H. O’Rourke Middle School |
| 32 | Kartik Ramachandrula | Wisconsin Hills Middle School |
| 33 | Joseph Widjaja | Carson Middle School |
| 34 | Sreeram Vuppala | Crossroads Middle School |
| 35 | Anonymous Fox | Anonymous Pusheen |
| 36 | Henry Greenwold | Bigelow Middle School |
| 37 | Aditya Chandrasekhar | Windemere Ranch Middle School |
| 38 | Yuan Zhuang | Ephraim Curtis Middle School |
| 39 | Logan Xu | The Nueva School |
| 40 | Ramya Rajan | Mason Middle School |
| 41 | Ria Mishra | Robert Adams Middle School |
| 42 | Max Yan | Highland Park MS |
| 43 | Mingchuan Cheng | West high |
| 44 | Krrish Madduru | Pleasant Ridge Middle School |
| 45 | Sriram Srinivasa Kalki | Overland Trail Middle School |
| 46 | Anonymous Sheep | Anonymous Pooh |
| 47 | Eric Chen | R. J. Grey |
| 48 | Shirley Xiong | RC Murphy Junior High School |
| 49 | Govind Velamoor | Sharon Middle School |
| 50 | Landon Xu | The Nueva School |
Top 50 Sixth Graders
| Rank | Name | School |
| 1 | Sohil Rathi | Miller Middle School |
| 2 | Jason Aston | Esten Middle School |
| 3 | Jiahe Liu | Gibbs |
| 4 | Anonymous Cheetah | Lincoln Junior High School |
| 5 | Jeffrey Xu | Stony Brook Middle School |
| 6 | Raymond Gao | Blanchard |
| 7 | Vishnu Mangipudi | Odle Middle School |
| 8 | Alan Huan | Benthel |
| 9 | Julia Xiang | Diablo Vista Middle School |
| 10 | Audrey Cheng | Kennedy Junior High School |
| 11 | Kaison Fong | Valley View Charter Prep |
| 12 | William Hua | Jonas Clarke Middle School |
| 13 | Bryan Li | Paul P. Gates Elementary School |
| 14 | Immanuel Whang | Anonymous Turtle |
| 15 | Gordon Chen | Joseph Azevada Elementary School |
| 16 | Kevin Zhu | Joaquin Miller Middle School |
| 17 | Ivy Shi | blanchard memorial school |
| 17 | Iris Shi | Blanchard Memorial |
| 19 | Benjamin Yin | Jonas Clarke Middle School |
| 20 | Lawson Wang | Redwood Middle School |
| 21 | Ryan Fu | Harvest Park |
| 22 | Anonymous Tiger | Eastern MS |
| 23 | Samuel Pahk | West Somerville Neighborhood School |
| 24 | Tony Song | Takoma Park Middle School |
| 25 | Anthony Luo | Redwood Middle School |
| 26 | Anonymous Lion | Solana Ranch Elementary |
| 27 | Jack Jin | Redwood Middle School |
| 28 | Albert Wu | Millburn middle school |
| 29 | Henry Zhu | Highland Park Middle School |
| 30 | Henry Yao | Windemere Ranch Middle School |
| 31 | Evan Liu | Joaquin miller middle school |
| 32 | Simon Meyers | Pierrepont School |
| 33 | Ava Chen | Miller Middle School |
| 34 | Jeffrey Li | Mission San Jose Elementary |
| 35 | Emma Liu | Sharon Middle School |
| 36 | Jason Shi | Upton Middle school |
| 37 | Hansen Shieh | Stony Brook School, Westford |
| 38 | Anonymous Cow | Redwood Middle School |
| 39 | Jared Mi | Oak Hill Middle School |
| 40 | Anonymous Dragon | Long Island School For The Gifted |
| 41 | Richard Xu | Daniel Wright JHS |
| 42 | Julie Zheng | William Diamond Middle School |
| 43 | Kai Lum | Basis Independent Fremont |
| 44 | Kevin | Anonymous Anteater |
| 45 | Adam Yanco | Worcester Academy |
| 46 | Eric Xiang | McCarthy Towne Elementary |
| 47 | Layton Wen | Stratford Fremont Osgood |
| 48 | Anonymous Goat | The Winsor School |
| 49 | Lu | Takoma Park Middle School |
| 50 | Thomas Ha | Sharon Middle School |
Top 50 Fifth Graders and Below
| Rank | Name | School |
| 1 | Adam Ge | Norman E. Day School |
| 2 | Brian Li | Equestion Trails Elementry School |
| 3 | Selena Ge | Norman E. Day School |
| 4 | Aren Emrikian | Highcrest Middle School |
| 5 | Julian kuang | Mills Park Elementary |
| 6 | Benjamin Jiang | Pine View School |
| 7 | Felix Yuan | The Lower Lab School of New York City |
| 8 | Grant Blitz | Science & Arts Academy |
| 9 | Anonymous Rat | Neary Elementary |
| 10 | Chris Pan | Pink Elementary |
| 11 | Anonymous Penguin | Fernbank Elementary School |
| 12 | Payton Hanks | Pioneer Elementary |
| 13 | Shaurya Bisht | Loudoun School for Advanced Studies |
| 14 | Anonymous Penguin | Shrewsbury Sherwood Middle School |
| 15 | Haowen Liu | Kingston Hill Academy |
| 16 | Daniel Wu | Muraco Element School |
| 17 | Erik Tang | Sage Canyon School |
| 18 | Yuenching Shao | Argonaut Elementary School |
| 19 | Alice Yin | Bowman Elementary School |
| 20 | Kayley Xu | Sage Canyon Elementary School |
| 21 | Anonymous Penguin | Beaver Country Day School |
| 22 | Tanish Parida | Paul P. Gates |
| 23 | Alan Wang | Vinson Owen |
| 24 | Laura Kay | Pioneer Elementary |
| 25 | Daniel Li | Half Day school |
| 26 | Jason Lian | Rosendale Elementary School |
| 27 | Andrew Chai | Mount Prospect Elementary School |
| 28 | Anonymous Penguin | Sage Canyon Elementary |
| 29 | Michael Chang | Mathews Elementary |
| 30 | Naomi Cong | Fred W. Miller Elementary School |
| 31 | Olivia Chen | Benjamin G Brown School |
| 32 | Eric Li | Conant School |
| 33 | Raymond Zhu | Somerset |
| 34 | Anonymous Penguin | BB&N |
| 35 | Anonymous Penguin | Big Creek Elementary |
| 36 | Nicholas Huang | St. Marks School of Texas |
| 37 | Dylan Xing | JingMei ES |
| 38 | Jenny Chu | McCulloch Intermediate School |
| 39 | Anonymous Penguin | Ridgeview Academy |
| 40 | Ameya Kharade | Bicenntennial elementary school |
| 41 | Vybhav Velamoor | Cottage Street Elementry School |
| 42 | Yuenjen Li | Argonaut Elementary School |
| 43 | Wenning Liang Chen | Equestrian Trails Elementary School |
| 44 | Kathy Lin | BB&N |
| 45 | Sharon Cheng | Katharine Lee Bates Elementary School |
| 46 | Anonymous Penguin | Primary Plus Elementary |
| 47 | Bryan Kuang | Greenhill School |
| 48 | Danyang Xu | Hopkins |
| 49 | Isabella Zhou | Sage Canyon |
| 50 | Weihan Yue | Towne Meadow Elementary |
Top 50 Teams Overall
| Rank | Organization | Score |
| 1 | 4ever Friends | 426.4191 |
| 2 | Jonas Clarke Middle School | 421.2475 |
| 3 | Mixed 282 | 421.0000 |
| 4 | Mixed 333 | 411.9394 |
| 5 | Carmel Valley Middle School | 408.2114 |
| 6 | Short Corgis | 400.4829 |
| 7 | William Hopkins Jr. High | 371.9303 |
| 8 | Basis Independent Silicon Valley (Mathnificent) | 370.5296 |
| 9 | Idea Math | 362.5162 |
| 10 | Oak Hill Middle School | 360.3810 |
| 11 | Williams/Deerlake | 349.0576 |
| 12 | Number One Middle School | 347.6337 |
| 13 | R. J. Grey | 345.2896 |
| 14 | Windemere Ranch Middle School/ Harvest Park Middle School | 343.9078 |
| 15 | Joaquin Miller Middle School | 343.0937 |
| 16 | Mixed 219 | 340.3507 |
| 17 | Lincoln Middle Schools | 336.3476 |
| 18 | Algebrian Knights | 336.2214 |
| 19 | Stony Brook Middle School | 327.7143 |
| 20 | Boston Latin School | 325.7037 |
| 21 | Basis Independent Silicon Valley | 322.5421 |
| 22 | William Diamond Middle School | 320.9544 |
| 23 | Wayland Middle School | 315.4839 |
| 24 | Chenery Middle School | 310.2480 |
| 25 | Highland Park Middle School | 309.5501 |
| 26 | Ephraim Curtis Middle School | 306.2218 |
| 27 | The Harker School | 304.3331 |
| 28 | Stony Brook Middle School/Blanchard Middle School | 302.6431 |
| 29 | A Piece of Pi | 300.6273 |
| 30 | Mixed 147 | 299.0601 |
| 31 | Redwood Middle School | 297.8285 |
| 32 | William Diamond Middle School | 296.7949 |
| 33 | Mixed 300 | 295.0235 |
| 34 | Western Mass ARML | 294.1160 |
| 35 | Joaquin Miller Middle School | 287.4102 |
| 36 | Oak Hill Middle School | 287.2843 |
| 37 | Mixed 276 | 284.5747 |
| 38 | Joaquin Miller Middle School | 284.4898 |
| 39 | Jonas Clarke Middle School | 276.1374 |
| 40 | Mixed 369 | 273.0600 |
| 41 | Fowler Middle School | 272.1209 |
| 42 | Western Mass ARML | 269.6150 |
| 43 | Blanchard Middle School | 263.5939 |
| 44 | Mixed 261 | 261.1256 |
| 45 | Mixed 372 | 255.3622 |
| 46 | Bigelow Middle School | 253.1076 |
| 47 | Bigelow Middle School | 244.4975 |
| 48 | Wellesley Middle School | 240.8602 |
| 49 | The Nueva School | 240.7849 |
| 50 | Epsilon Camp | 237.3088 |
What’s awesome about ABMC 2020?
- It’s completely free!
- No preregistration is needed!
- The time limits are quarantine-friendly!
- We offer prizes not only to top competitors; several of our sponsor prizes and educational awards are raffled among all participants!
When does the competition take place?
The competition is on Saturday, April 25th, with the individual rounds from 11 A.M. to 3 P.M. EST, and the team round from 3:30 P.M. to 8 P.M. EST. At each start time, the problems and submission form will be posted here.
You may take as long as you require, so long as you submit before the deadline.
Rules
No calculators, online resources, or other computational resources are admissible.
Drawing aids, such as rulers and protractors are permissible, however, software such as GeoGebra is prohibited.
All answers are non-negative integers.
Changes to Contest Format
The original contest format can be viewed here. Important changes are noted below:
- Due to different time zones as well as technical difficulties, we have expanded the contest time limits. The original time limits serve as guidelines. However, you may use the full time, but remember to submit your answers before the deadline.
- All answers are non-negative integers.
- For team round, contrary to the rules, we will release all the problems at the start time, and teams will submit all problems together as opposed to sets of three.
- In the team round, teams may use electronic devices / video conferencing apps to communicate, but members of different teams may not collaborate.
- Unfortunately due to circumstances, we cannot group individuals to form individual teams. Individuals can communicate through online forums to find teammates before the competition!
- Official teams must consist of 2-4 students
- For individuals who still want to do the team round but don’t have a team, you will still be able to submit answers; however, your score for the team round will not count officially. We will still grade your test and send you results!
Will prizes be awarded?
The following are ABMC prizes:
- Certificate of participation for all competitors
- Certificate of recognition to top member of each team
- Choice of math book for top 10 individuals and top 5 teams
- 30 Free ABMC Online Tutoring Sessions raffled to all participants
The following are prizes from sponsors:
- Gift certificate from AoPS to the top female competitor
- Three gift certificates from AoPS to raffle among top 25% in 8th grade, 7th grade, and 6th or under
- Two TI-84 Plus CE calculators
- WolframAlpha subscriptions awarded to top competitors in online contest broken by grades
For the competition rules and information about prizes, visit the Rules page.
If you have any questions, please email abmathcompetition@gmail.com
