Problem bank

The problem bank holds every past IOAA problem that the course has restated so far, 44 problems set between 2007 and 2025. Each one has its own page, with a hint and a solution that opens one step at a time, and each also appears in the section that teaches the ideas it uses. The level is our own estimate of how hard a problem is, from bronze to gold. New problems are added as each chapter is written.

Filters44 problems

Chapter

Round

Level

Points

Status

Order

Problems

Year	Problem	Round	Level	Points	Section
2009	Jumping off a planet	Theory	Bronze	10	S2
2010	The longest life of the Sun	Theory	Bronze	10	S2
2011	Solar neutrinos	Theory	Bronze	10	S2
2012	The Sun seen from Barnard's Star	Theory	Bronze	10	S3
2018	Where Vega and Altair are heading	Theory	Bronze	3	S3
2010	Sun-like stars above the disc	Theory	Silver	10	S3
2018	Four ways to average a distance	Theory	Silver	10	S3
2009	Escaping from the centre of a cloud	Theory	Silver	10	S4
2013	Separating a planet from its star	Theory	Bronze	10	S4
2007	A cloud near the centre of the Galaxy	Theory	Bronze	2	S4
2009	Photons from the faintest stars	Theory	Bronze	10	S4
2020	Astrophotography	Theory	Bronze	10	1.1
2007	The smallest shift	Theory	Bronze	2	1.1
2007	Solar days and sidereal days	Theory	Bronze	2	1.3
2018	Height of a hill	Theory	Bronze	10	1.3
2009	Stars from Mount Damavand	Theory	Bronze	10	1.4
2022	Georgia to Georgia	Theory	Silver	20	1.4
2024	Castaway	Theory	Silver	20	1.4
2013	A star over Madrid	Theory	Bronze	10	1.5
2013	Vega from two cities	Theory	Silver	10	1.5
2015	From Lima to Yogyakarta	Theory	Silver		1.5
2018	Vega and Altair	Theory	Silver	15	1.5
2014	Stars with Romanian names	Theory	Silver		1.6
2021	The Moon over Bogotá	Theory	Bronze	6	1.6
2013	The highest full Moon	Theory	Silver	10	1.6
2016	Shadows	Theory	Bronze	10	1.7
2008	The Moon from two sides of Earth	Theory	Bronze	20	1.7
2017	The Large Magellanic Cloud in Phuket	Theory	Bronze	10	1.7
2012	A sundial in Rio de Janeiro	Theory	Silver		1.7
2017	A synchronous satellite	Theory	Silver	10	1.7
2019	South, east and north	Theory	Gold	20	1.7
2019	Distance to a near-Earth asteroid	Theory	Silver	25	1.7
2017	Shipwreck	Theory	Silver	40	1.7
2012	If Earth turned the other way	Theory	Bronze		2.1
2007	Sunrise on the shortest day	Theory	Bronze	2	2.3
2018	Sidereal time zero twice in a day	Theory	Bronze	10	2.5
2020	The sky above Chiayi	Theory	Bronze	6	2.5
2018	The rising Sun through the air	Theory	Silver	10	2.6
2011	Sirius and Canopus from Kraków	Theory	Silver	10	2.7
2025	Makar-Sankranti	Theory	Silver	10	2.7
2008	The full Moon over Bosscha	Theory	Bronze	20	2.8
2024	A sundial	Theory	Bronze	10	2.8
2007	The Moon on Einstein's birthday	Data analysis	Bronze	8	2.8
2019	The chimney at Tiszaújváros	Theory	Silver	19	2.8
No problem matches these filters.