2020年AMC 10B 真题:
Problem 1
What is the value of
Problem 2
Carl has cubes each having side length
, and Kate has
cubes each having side length
. What is the total volume of these
cubes?
Problem 3
The ratio of to
is
, the ratio of
to
is
, and the ratio of
to
is
. What is the ratio of
to
Problem 4
The acute angles of a right triangle are and
, where
and both
and
are prime numbers. What is the least possible value of
?
Problem 5
How many distinguishable arrangements are there of brown tile,
purple tile,
green tiles, and
yellow tiles in a row from left to right? (Tiles of the same color are indistinguishable.)
Problem 6
Driving along a highway, Megan noticed that her odometer showed (miles). This number is a palindrome-it reads the same forward and backward. Then
hours later, the odometer displayed the next higher palindrome. What was her average speed, in miles per hour, during this
-hour period?
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