AMC 12C 2020
Contents
Problem 1
What is the sum of the solutions to the equation ?
Problem 2
How many increasing subsets of contain no consecutive prime numbers?
Problem 3
A field is on the real plane in the shape of a circle, centered at with a a radius of . The area that is in the field but above the line is planted. What fraction of the field is planted?
Problem 4
What is the numerical value of ?
Problem 5
cows can consume kilograms of grass in days. How many more cows are required such that it takes all of the cows to consume kilograms of grass in days?
Problem 6
candy canes and lollipops are to be distributed among children such that each child gets atleast candy. What is the probability that once the candies are distributed, no child has both types of candies?
Problem 7
Persons and can plough a field in days, persons and can plough the same field in days, and persons and can plough the same field in days. In how many days can all of them plough the field together?
Problem 8
The real value of that satisfies the equation can be written in the form
\[a + \sqrt[b]\] (Error compiling LaTeX. Unknown error_msg)
where and are integers. What is ?