Difference between revisions of "AMC 12C 2020"
(→Problem 3) |
(→Problem 4) |
||
| Line 23: | Line 23: | ||
What is the numerical value of <math>1^{3} + 2^{3} + 3^{3} + … + 11^{3}</math>? | What is the numerical value of <math>1^{3} + 2^{3} + 3^{3} + … + 11^{3}</math>? | ||
| + | |||
| + | |||
| + | |||
| + | ==Problem 5== | ||
| + | |||
| + | <math>10</math> cows can consume <math>20</math> kilograms of grass in <math>5</math> days. How many more cows are required such that it takes all of the cows to consume <math>80</math> kilograms of grass in <math>8</math> days? | ||
Revision as of 12:24, 20 April 2020
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?
