| 1741 |
AMC 12 2003 A Q17 |
Square \( ABCD\) has sides of length \( 4\), and \... |
1500.00 |
| 1742 |
AMC 12 2003 A Q20 |
How many \( 15\)-letter arrangements of \( 5\) A's... |
1500.00 |
| 1743 |
AMC 12 2003 A Q22 |
Objects \(A\) and \(B\) move simultaneously in the... |
1500.00 |
| 1744 |
AMC 12 2003 A Q24 |
If \( a\ge b>1\), what is the largest possible val... |
1500.00 |
| 1745 |
AMC 12 2003 B Q11 |
Cassandra sets her watch to the correct time at no... |
1500.00 |
| 1746 |
AMC 12 2003 B Q17 |
If \( \log(xy^3)=1\) and \( \log(x^2y)=1\), what i... |
1500.00 |
| 1747 |
AMC 12 2003 B Q19 |
Let \( S\) be the set of permutations of the seque... |
1500.00 |
| 1748 |
AMC 12 2003 B Q20 |
Part of the graph of \( f(x) = x^3 + bx^2 + cx + d... |
1500.00 |
| 1749 |
AMC 12 2003 B Q21 |
An object moves \( 8\) cm in a straight line from ... |
1500.00 |
| 1750 |
AMC 12 2003 B Q22 |
Let \( ABCD\) be a rhombus with \( AC=16\) and \( ... |
1500.00 |
| 1751 |
AMC 12 2003 B Q24 |
Positive integers \( a\), \( b\), and \( c\) are c... |
1500.00 |
| 1752 |
AMC 12 2003 B Q25 |
Three points are chosen randomly and independently... |
1500.00 |
| 1753 |
AMC 12 2006 A Q7 |
Mary is \( 20\%\) older than Sally, and Sally is \... |
1500.00 |
| 1754 |
AMC 12 2006 A Q15 |
Suppose \( \cos x = 0\) and \( \cos (x + z) = 1/2\... |
1500.00 |
| 1755 |
AMC 12 2006 A Q18 |
The function \( f\) has the property that for each... |
1500.00 |
| 1756 |
AMC 12 2006 A Q19 |
Circles with centers \( (2,4)\) and \( (14,9)\) ha... |
1500.00 |
| 1757 |
AMC 12 2006 A Q22 |
A circle of radius \( r\) is concentric with and o... |
1500.00 |
| 1758 |
AMC 12 2006 A Q23 |
Given a finite sequence \( S = (a_1,a_2,\ldots,a_n... |
1500.00 |
| 1759 |
AMC 12 2006 A Q24 |
The expression
\[ (x + y + z)^{2006} + (x - y - z... |
1500.00 |
| 1760 |
AMC 12 2006 A Q25 |
How many non-empty subsets \( S\) of \( \{1, 2, 3,... |
1500.00 |