USAPhO Problems and Solutions

The United States selection, run by AAPT since 1986. It opens with the F=ma exam, 25 multiple-choice questions in 75 minutes sat by thousands; around 400 top scorers advance to the USAPhO itself, six problems in three hours split into a Part A and a Part B; twenty students are then picked for the team. Every sitting AAPT publishes is here as a stage of its year: the F=ma exam, the Quarterfinal it ran for two years, the Semifinal that was later renamed the USAPhO, the additional USAPhO Plus, and the theoretical and lab tests sat at the training camp.

2026

USA

F=ma
Problems25 problemsProblemsSolutions
  • 1Problem 1not published
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  • 25Problem 25not published
USAPhO
Problems6 problemsProblemsSolutions
  • 1A1. 404 Vision Not Foundnot published
  • 2A2. Straight on a Conenot published
  • 3A3. Storm Chasernot published
  • 4B1. Radiant Bubblesnot published
  • 5B2. Say Cheese... It's a Conicnot published
  • 6B3. The Trojan Cylindernot published

2025

USA

F=ma
Problems25 problemsProblemsSolutions
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  • 25Problem 25not published
USAPhO
Problems6 problemsProblemsSolutions
  • 1A1. Shake Itnot published
  • 2A2. Black Tidesnot published
  • 3A3. Bitter and Magneticnot published
  • 4B1. Scroll 'n' Rollnot published
  • 5B2. Where's the Kaboom?not published
  • 6B3. Locked and Modednot published

2024

USA

F=ma
Problems25 problemsProblemsSolutions
  • 1Problem 1not published
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  • 25Problem 25not published
USAPhO
Problems6 problemsProblemsSolutions
  • 1A1. Ping Pongnot published
  • 2A2. Stellar Stabilitynot published
  • 3A3. Tilt Shiftnot published
  • 4B1. The Muon Shotnot published
  • 5B2. Solid Heatnot published
  • 6B3. Quality Questnot published

2023

USA

F=ma
Problems25 problemsProblemsSolutions
  • 1Problem 1not published
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  • 25Problem 25not published
USAPhO
Problems6 problemsProblemsSolutions
  • 1A1. Circus Actnot published
  • 2A2. Time is a Flat Circlenot published
  • 3A3. The Motive Power of Icenot published
  • 4B1. Electric Roulettenot published
  • 5B2. Fast and Furiousnot published
  • 6B3. Starry Messengersnot published

2022

USA

F=ma
Exam A25 problemsProblemsSolutions
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Exam B25 problemsProblemsSolutions
  • 26Problem 1not published
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  • 50Problem 25not published
USAPhO
Problems6 problemsProblemsSolutions
  • 1A1. Moment of Claritynot published
  • 2A2. Death Metalnot published
  • 3A3. Rainbow Roadnot published
  • 4B1. Virial Realitynot published
  • 5B2. Broken Vasenot published
  • 6B3. Time Crystalnot published
Training Camp
Theoretical3 problemsProblemsSolutions
  • 1Take Fivenot published
  • 2Chain Reactionnot published
  • 3Lego Movienot published
Mystery Lab1 problemThe Future Circular ColliderProblemSolution

2021

USA

F=ma
Problems25 problemsProblemsSolutions
  • 1Problem 1not published
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USAPhO
Problems6 problemsProblemsSolutions
  • 1A1. Toffee Puddingnot published
  • 2A2. Flashlightnot published
  • 3A3. Electroneeringnot published
  • 4B1. Disk Jockeynot published
  • 5B2. Hot Pocketnot published
  • 6B3. The Mad Hatternot published
USAPhO Plus
Problems3 problemsProblemsSolutions
  • 1The Jet Streamnot published
  • 2The Dark Forestnot published
  • 3Great Hallnot published

2020

USA

F=ma
Exam A25 problemsProblemsSolutions
  • 1Problem 1not published
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Exam B25 problemsProblemsSolutions
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  • 50Problem 25not published
USAPhO
Problems6 problemsProblemsSolutions
  • 1A1. Braking upnot published
  • 2A2. Swoosh!not published
  • 3A3. Spin Cyclenot published
  • 4B1. String Cheesenot published
  • 5B2. Mirror Mirror on the Wallnot published
  • 6B3. Real Expansionnot published

2019

USA

F=ma
Exam A25 problemsProblemsSolutions
  • 1Problem 1not published
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Exam B25 problemsProblemsSolutions
  • 26Problem 1not published
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  • 50Problem 25not published
USAPhO
Problems6 problemsProblemsSolutions
  • 1A1. Collision Coursenot published
  • 2A2. Green Revolutionnot published
  • 3A3. Electric Slidenot published
  • 4B1. Strain in the Membranenot published
  • 5B2. Stellar Black Boxnot published
  • 6B3. Pitfallnot published

2018

USA

F=ma
Exam A25 problemsProblemsSolutions
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Exam B25 problemsProblemsSolutions
  • 26Problem 1not published
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USAPhO
Problems6 problemsProblemsSolutions
  • 1Problem A1not published
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  • 3Problem A3not published
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  • 6Problem B3not published

2017

USA

F=ma
Problems25 problemsProblemsSolutions
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USAPhO
Problems6 problemsProblemsSolutions
  • 1Problem A1not published
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  • 3Problem A3not published
  • 4Problem A4not published
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  • 6Problem B2not published

2016

USA

F=ma
Problems25 problemsProblemsSolutions
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USAPhO
Problems6 problemsProblemsSolutions
  • 1Problem A1not published
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2015

USA

F=ma
Problems25 problemsProblemsSolutions
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USAPhO
Problems6 problemsProblemsSolutions
  • 1Problem A1not published
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2014

USA

F=ma
Problems25 problemsProblemsSolutions
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USAPhO
Problems6 problemsProblemsSolutions
  • 1Problem A1not published
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2013

USA

F=ma
Problems25 problemsProblemsSolutions
  • 1Problem 1not published
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Semifinal
Problems6 problemsProblemsSolutions
  • 1Problem A1not published
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2012

USA

F=ma
Problems25 problemsProblemsSolutions
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Semifinal
Problems6 problemsProblemsSolutions
  • 1Problem A1not published
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2011

USA

F=ma
Problems25 problemsProblemsSolutions
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Semifinal
Problems6 problemsProblemsSolutions
  • 1Problem A1not published
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2010

USA

F=ma
Problems25 problemsProblemsSolutions
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Semifinal
Problems6 problemsProblemsSolutions
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2009

USA

F=ma
Problems25 problemsProblemsSolutions
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Quarterfinal
Problems4 problemsProblemsSolutions
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Semifinal
Problems6 problemsProblemsSolutions
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2008

USA

F=ma
Problems25 problemsProblemsSolutions
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Quarterfinal
Problems4 problemsProblemsSolutions
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Semifinal
Problems6 problemsProblemsSolutions
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2007

USA

F=ma
Problems38 problemsProblemsSolutions
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Semifinal
Problems6 problemsProblemsSolutions
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