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- ...le (inclusive and integers only). Full credit is only given for complete, correct solutions. Each solution is intended to be in the form of a [[proof writin3 KB (490 words) - 03:32, 23 July 2023
- For every correct answer: 5 points3 KB (388 words) - 23:07, 5 February 2024
- ...inally, additions to and improvements on the solutions in the AoPSWiki are always welcome.3 KB (391 words) - 16:00, 21 February 2024
- On the AMC 12, each correct answer is worth <math>6</math> points, each incorrect answer is worth <math13 KB (1,953 words) - 00:31, 26 January 2023
- ...ssumes he is the first to arrive. If each takes what he believes to be the correct share of candy, what fraction of the candy goes unclaimed?13 KB (1,955 words) - 21:06, 19 August 2023
- ..., and <math>R</math> the area of the red square. Which of the following is correct?12 KB (1,792 words) - 13:06, 19 February 2020
- Cassandra sets her watch to the correct time at noon. At the actual time of 1:00 PM, she notices that her watch rea13 KB (1,987 words) - 18:53, 10 December 2022
- Inductive Step: Suppose the formula is correct for <math>z_k</math>, then ...z|</math>. Therefore, the magnitude of <math>\frac{iz_n}{|z_n|}</math> is always <math>1</math>, meaning that all of the numbers in the sequence <math>z_k</4 KB (660 words) - 17:40, 24 January 2021
- ...4}</math> But, this over-counts since it counts numbers like 0213. We can correct for this over-counting. Lock the first digit as 0 and permute 3 other chose3 KB (562 words) - 18:12, 4 March 2022
- ...clear from the problem setup that <math>0<\theta<\frac\pi2</math>, so the correct value is <math>\tan(\theta)=\frac53</math>. Next, extend rays <math>\overri9 KB (1,501 words) - 05:34, 30 October 2023
- ...the formula <math>s=30+4c-w</math>, where <math>c</math> is the number of correct answers and <math>w</math> is the number of wrong answers. Students are not6 KB (933 words) - 01:15, 19 June 2022
- ...ailable ten-button lock may be opened by depressing -- in any order -- the correct five buttons. The sample shown below has <math>\{1, 2, 3, 6, 9\}</math> as6 KB (902 words) - 08:57, 19 June 2021
- ...bsent-minded professor failed to notice that his calculator was not in the correct angular mode. He was lucky to get the right answer. The two least positive7 KB (1,177 words) - 15:42, 11 August 2023
- ...the formula <math>s=30+4c-w</math>, where <math>c</math> is the number of correct answers and <math>w</math> is the number of wrong answers. (Students are no Let Mary's score, number correct, and number wrong be <math>s,c,w</math> respectively. Then7 KB (1,163 words) - 23:53, 28 March 2022
- Since this is an AIME problem, there is exactly one correct answer, and thus, exactly one possible value of <math>f(14,52)</math>.4 KB (538 words) - 13:24, 12 October 2021
- ...available ten-button lock may be opened by pressing -- in any order -- the correct five buttons. The sample shown below has <math>\{1,2,3,6,9\}</math> as its1 KB (181 words) - 18:23, 26 August 2019
- ...As no other option choice fits, <math>\boxed{\textbf{(A)}-x}</math> is the correct solution.1 KB (179 words) - 10:33, 19 August 2022
- THIS SOLUTION IS INCORRECT, PLEASE CORRECT IT IF YOU HAVE TIME!3 KB (447 words) - 17:02, 24 November 2023
- ...r of <math>11</math> is <math>(5,11)</math>, and checking shows that it is correct.4 KB (628 words) - 22:05, 7 June 2021
- ...way to do the problem is by the process of elimination. The only possible correct choices are the highest powers of each prime, <math>2^3=8</math>, <math>3^25 KB (878 words) - 14:39, 3 December 2023