| 21 |
AMC 10 2003 A Q24 |
Sally has five red cards numbered \( 1\) through \(... |
1574.95 |
| 22 |
AMC 8 1992 A Q25 |
One half of the water is poured out of a full cont... |
1573.45 |
| 23 |
AMC 10 2002 B Q7 |
Let \( n\) be a positive integer such that \( \tfr... |
1573.08 |
| 24 |
SMC 2008 Q10 |
Which one of the following rational numbers cannot... |
1572.36 |
| 25 |
AMC 10 2002 A Q17 |
Sarah pours four ounces of coffee into an eight-ou... |
1571.80 |
| 26 |
AMC 10 2002 B Q16 |
For how many integers \( n\) is \( \frac{n}{20-n}\... |
1571.00 |
| 27 |
AMC 10 2005 A Q22 |
Let \( S\) be the set of the \( 2005\) smallest mu... |
1566.93 |
| 28 |
AMC 10 2003 B Q14 |
Given that \( 3^8\cdot5^2 = a^b\), where both \( a... |
1566.74 |
| 29 |
AMC 8 1989 Q |
The infinite product
\(\sqrt[3]{10}\cdot\sqrt[3... |
1566.32 |
| 30 |
AMC 10 2002 B Q14 |
The number \( 25^{64}\cdot64^{25}\) is the square ... |
1566.21 |
| 31 |
AMC 12 2023 A Q25 |
There is a unique sequence of integers \(a_1, a_2,... |
1561.13 |
| 32 |
AIME 2002 I Q6 |
The solutions to the system of equations
\begin... |
1560.46 |
| 33 |
AMC 12 2021 Spring B Q9 |
What is the value of \[\frac{2^{2014}+2^{2012}}{2^... |
1560.44 |
| 34 |
AMC 8 1989 Q |
A tripod has three legs each of length \(5\) feet.... |
1560.43 |
| 35 |
AMC 10 2008 A Q7 |
The fraction \[\frac {(3^{2008})^2 - (3^{2006})^2}... |
1560.40 |
| 36 |
AMC 8 1994 A Q20 |
Let \(W,X,Y\) and \(Z\) be four different digits s... |
1559.75 |
| 37 |
AMC 8 1996 A Q6 |
What is the smallest result that can be obtained f... |
1559.73 |
| 38 |
AMC 12 2021 Fall A Q19 |
Let \(x\) be the least real number greater than \(... |
1559.73 |
| 39 |
AMC 12 2023 A Q12 |
What is the value of
\[ 2^3 - 1^2 + 4^3 - 3^3 + 6... |
1559.56 |
| 40 |
AMC 8 2006 A Q23 |
A box contains gold coins. If the coins are equall... |
1559.15 |