| 1481 |
AMC 12 2019 A Q16 |
The numbers \(1,2,\dots,9\) are randomly placed in... |
1500.00 |
| 1482 |
AMC 12 2019 A Q17 |
Let \(s_k\) denote the sum of the \(\textit{k}\)th... |
1500.00 |
| 1483 |
AMC 12 2019 A Q18 |
A sphere with center \(O\) has radius \(6\). A tri... |
1500.00 |
| 1484 |
AMC 12 2019 A Q19 |
In \(\triangle ABC\) with integer side lengths,
\... |
1500.00 |
| 1485 |
AMC 12 2019 A Q20 |
Real numbers between 0 and 1, inclusive, are chose... |
1500.00 |
| 1486 |
AMC 12 2019 A Q21 |
Let \($z=\frac{1+i}{\sqrt{2}}.\)\(What is \)\((z^{... |
1500.00 |
| 1487 |
AMC 12 2019 A Q23 |
Define binary operations \(\diamondsuit\) and \(\h... |
1500.00 |
| 1488 |
AMC 12 2019 A Q25 |
Let \(\triangle A_0B_0C_0\) be a triangle whose an... |
1500.00 |
| 1489 |
AMC 12 2019 B Q1 |
Alicia had two containers. The first was \(\tfrac{... |
1500.00 |
| 1490 |
AMC 12 2019 B Q2 |
Consider the statement, "If \(n\) is not prime, th... |
1500.00 |
| 1491 |
AMC 12 2019 B Q3 |
Which one of the following rigid transformations (... |
1500.00 |
| 1492 |
AMC 12 2019 B Q4 |
A positive integer \(n\) satisfies the equation \(... |
1500.00 |
| 1493 |
AMC 12 2019 B Q5 |
Each piece of candy in a store costs a whole numbe... |
1500.00 |
| 1494 |
AMC 12 2019 B Q6 |
In a given plane, points \(A\) and \(B\) are \(10\... |
1500.00 |
| 1495 |
AMC 12 2019 B Q9 |
For how many integral values of \(x\) can a triang... |
1500.00 |
| 1496 |
AMC 12 2019 B Q13 |
A red ball and a green ball are randomly and indep... |
1500.00 |
| 1497 |
AMC 12 2019 B Q14 |
Let \(S\) be the set of all positive integer divis... |
1500.00 |
| 1498 |
AMC 12 2019 B Q15 |
As shown in the figure, line segment \(\overline{A... |
1500.00 |
| 1499 |
AMC 12 2019 B Q16 |
There are lily pads in a row numbered 0 to 11, in ... |
1500.00 |
| 1500 |
AMC 12 2019 B Q17 |
How many nonzero complex numbers \(z\) have the pr... |
1500.00 |