2008 AMC 10B Problems
Contents
- 1 Problem 1
- 2 Problem 2
- 3 Problem 4
- 4 Problem 5
- 5 Problem 6
- 6 Problem 7
- 7 Problem 8
- 8 Problem 9
- 9 Problem 10
- 10 Problem 11
- 11 Problem 12
- 12 Problem 13
- 13 Problem 14
- 14 Problem 15
- 15 Problem 16
- 16 Problem 17
- 17 Problem 18
- 18 Problem 19
- 19 Problem 20
- 20 Problem 21
- 21 Problem 22
- 22 Problem 23
- 23 Problem 24
- 24 Problem 25
Problem 1
A basketball player made 5 baskets during a game. Each basket was worth either 2 or 3 points. How many different numbers could represent the total points scored by the player?
(Solution)
Problem 2
A block of calendar dates has the numbers
through
in the first row,
though
in the second,
though
in the third, and
through 25
\textbf{(A)} 2 \qquad \textbf{(B)} 4 \qquad \textbf{(C)} 6 \qquad \textbf{(D)} 8 \qquad \textbf{(E)} 10
x
\sqrt[3]{x\sqrt{x}}
\textbf{(A)} x^{1/6} \qquad \textbf{(B)} x^{1/4} \qquad \textbf{(C)}
(Solution)
Problem 4
A semipro baseball league has teams with 21 players each. League rules state that a player must be paid at least <dollar/>15,000 and that the total of all players' salaries for each team cannot exceed <dollar/>700,000. What is the maximum possible salary, in dollars, for a single player?
(Solution)
Problem 5
For real numbers and
, define
b=(a-b)^2
(x-y)^2\
?
(Solution)
Problem 6
(Solution)
Problem 7
(Solution)
Problem 8
(Solution)
Problem 9
(Solution)
Problem 10
(Solution)
Problem 11
(Solution)
Problem 12
(Solution)
Problem 13
(Solution)
Problem 14
(Solution)
Problem 15
(Solution)
Problem 16
(Solution)
Problem 17
(Solution)
Problem 18
(Solution)
Problem 19
(Solution)
Problem 20
(Solution)
Problem 21
(Solution)
Problem 22
(Solution)
Problem 23
(Solution)
Problem 24
(Solution)
Problem 25
(Solution)
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