User:Fura3334
DONT DELETE THIS PAGE, IM WORKING ON SUS MOCK AIME
[hide="the 6 problems for sus mock aime, now in latex"] [b]Problem 1[/b] Kube the robot completes a task repeatedly, each time taking minutes. One day, Furaken asks Kube to complete identical tasks in hours. If Kube works slower and spends minutes on each task, it will finish tasks in exactly hours. If Kube works faster and spends minutes on each task, it can finish tasks in hours with minutes to spare. Find . Answer: [hide]i'm not putting the answer here, send your answer in this thread then i'll see whether yours is same as mine[/hide]
[b]Problem 2[/b] Let , , be positive real numbers such that Find . Answer: [hide]i'm not putting the answer here, send your answer in this thread then i'll see whether yours is same as mine[/hide]
[b]Problem 3[/b] Let be an odd prime such that . Find . Answer: [hide]i'm not putting the answer here, send your answer in this thread then i'll see whether yours is same as mine[/hide]
[b]Problem 4[/b] [img]https://latex.artofproblemsolving.com/d/4/4/d44b620826b6207a9018efd4b6db89b39b2b9b3c.png[/img] For triangle , let be the midpoint of . Extend to such that . Let be the point on such that , and let be the point on such that . Line intersects line at such that . Given that is parallel to , the maximum possible area of triangle can be written as where and are relatively prime positive integers. Find . Answer: [hide]i'm not putting the answer here, send your answer in this thread then i'll see whether yours is same as mine[/hide]
[b]Problem 5[/b] Let be a root of the polynomial where , , , are integers. Find . Answer: [hide]i'm not putting the answer here, send your answer in this thread then i'll see whether yours is same as mine[/hide]
[b]Problem 6[/b] [img]https://latex.artofproblemsolving.com/4/6/1/461d152569bf18e1c406d5b3c3a3afa4201b4245.png[/img] Fly has a large number of red, yellow, green and blue pearls. Fly is making a necklace consisting of pearls as shown in the diagram. One slot already has a red pearl, and another slot has a green pearl. Find the number of ways to fill the remaining slots such that any two pearls that are connected directly have different colors. Answer: [hide]i'm not putting the answer here, send your answer in this thread then i'll see whether yours is same as mine[/hide][/hide]