Difference between revisions of "AMC 10 2021 (Mock) Problems"
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<math>\mathrm{(A) \ } \frac{(K - 1)Q}{6}\qquad \mathrm{(B) \ } \frac{(K - 1)Q}{4}\qquad \mathrm{(C) \ } \frac{KQ}{4}\qquad \mathrm{(D) \ } \frac{(K + 1)Q}{4}\qquad \mathrm{(E) \ } \frac{(K + 1)Q}{2}</math> | <math>\mathrm{(A) \ } \frac{(K - 1)Q}{6}\qquad \mathrm{(B) \ } \frac{(K - 1)Q}{4}\qquad \mathrm{(C) \ } \frac{KQ}{4}\qquad \mathrm{(D) \ } \frac{(K + 1)Q}{4}\qquad \mathrm{(E) \ } \frac{(K + 1)Q}{2}</math> | ||
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| + | ==Problem 5== | ||
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| + | How many terms in the expansion of <math>(x(sqrt{5}) + y(cbrt{7}))^2021</math> have irrational coefficients? | ||
Revision as of 21:10, 29 November 2021
Problem 1
Given that 
and 
what is the value of 
?
Problem 2
A bag of marbles consists of 
red marbles and 
blue marbles. Each of these 
marbles are pulled out one at a time. What is the probability that the 
marble pulled out is red?
Problem 3
Meena has 
snakes, 
are purple and the rest are green. Some of the snakes are poisonous. She knows that 
of the poisonous snakes are green and the number of poisonous snakes which are purple is double the amount of poisonous snakes that are green. How many snakes are not poisonous?
Problem 4
At a birthday celebration consisting of 
kids, each of the kids purchase 
soda cans except for the birthday kid, who purchases 
soda cans. soda cans cost 
quarters. How many dollars were spent total on the soda cans?
Problem 5
How many terms in the expansion of 
have irrational coefficients?
