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Difference between revisions of "2020 USOJMO"

(JMO (Sneak Peak at 2 problems))
 
 
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Shh..., don't tell anyone (giving you 2 free jmo problems!) (solutions for 2020 USOJMO)
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The 2020 USAJMO is an online contest that takes place on Friday June 19 to Saturday June 20. The scoring is exactly the same as the USAJMO. The first link will contain the full set of test problems. The rest will contain each individual problem and its solution.
  
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Problem 1: <math>8^8</math> = <math>2^x</math>. Find x.
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[[2020 USOJMO Problems]]
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* [[2020 USOJMO Problems/Problem 1]]
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* [[2020 USOJMO Problems/Problem 2]]
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* [[2020 USOJMO Problems/Problem 3]]
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* [[2020 USOJMO Problems/Problem 4]]
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* [[2020 USOJMO Problems/Problem 5]]
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* [[2020 USOJMO Problems/Problem 6]]
  
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Solution: <math>8^8 = 2^24</math> so x = <math>\boxed{24}</math>
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== See Also ==
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* [[Mathematics competitions]]
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* [[Mathematics competition resources]]
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* [[Math books]]
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* [[USAJMO]]
  
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Problem 2: Bob eats 1 hamburger a day. He likes to eat his hamburgers by putting the whole thing in his mouth. After how many days will he eat exactly 1.7 hamburgers?
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{| class="wikitable" style="margin:0.5em auto; font-size:95%; border:1px solid black; width:40%;"
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| style="background:#ccf;text-align:center;" colspan="3" | '''[[2020 USAJMO]]''' ('''[[2020 USAJMO Problems|Problems]]''' • [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=176&year={{{year}}} Resources])
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Solution: He will never eat the amount of burgers because he always eats 1 at a time in one go. Thus, the answer is <math>\boxed{0}</math>.
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|-
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| width="50%" align="center" rowspan="{{{rowsp|1}}}" | {{{beforetext|Preceded&nbsp;by<br/>}}}'''{{{before|[[2019 USAJMO]]}}}'''
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| width="50%" align="center" rowspan="{{{rowsf|1}}}" | {{{aftertext|Followed&nbsp;by<br/>}}}'''{{{after|[[2021 USAJMO]]}}}'''
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|-
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| colspan="3" style="text-align:center;" | [[2020 USAJMO Problems/Problem 1|1]] '''•''' [[2020 USAJMO Problems/Problem 2|2]] '''•''' [[2020 USAJMO Problems/Problem 3|3]] '''•''' [[2020 USAJMO Problems/Problem 4|4]] '''•''' [[2020 USAJMO Problems/Problem 5|5]] '''•''' [[2020 USAJMO Problems/Problem 6|6]]
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|-
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| colspan="3" style="text-align:center;" | '''[[USAJMO Problems and Solutions | All USAJMO Problems and Solutions]]'''
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|}<includeonly></includeonly><noinclude>

Latest revision as of 10:42, 14 April 2021

The 2020 USAJMO is an online contest that takes place on Friday June 19 to Saturday June 20. The scoring is exactly the same as the USAJMO. The first link will contain the full set of test problems. The rest will contain each individual problem and its solution.

2020 USOJMO Problems

See Also

2020 USAJMO (Problems • Resources)
Preceded by
2019 USAJMO 		Followed by
2021 USAJMO
1 • 2 • 3 • 4 • 5 • 6
All USAJMO Problems and Solutions
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