| 1881 |
AMC 12 1989 A Q20 |
Let \(x\) be a real number selected uniformly at r... |
1500.00 |
| 1882 |
AMC 12 1989 A Q21 |
A square flag has a red cross of uniform width wit... |
1500.00 |
| 1883 |
AMC 12 1989 A Q22 |
A child has a set of \(96\) distinct blocks. Each ... |
1500.00 |
| 1884 |
AMC 12 1989 A Q23 |
A particle moves through the first quadrant as fol... |
1500.00 |
| 1885 |
AMC 12 1989 A Q24 |
Five people are sitting at a round table. Let \(f ... |
1500.00 |
| 1886 |
AMC 12 1989 A Q25 |
In a certain cross-country meet between two teams ... |
1500.00 |
| 1887 |
AMC 12 1989 A Q27 |
Let \(n\) be a positive integer. If the equation \... |
1500.00 |
| 1888 |
AMC 12 1989 A Q29 |
Find \(\displaystyle \sum_{k=0}^{49}(-1)^k\binom{9... |
1500.00 |
| 1889 |
AMC 12 1989 A Q30 |
Suppose that \(7\) boys and \(13\) girls line up i... |
1500.00 |
| 1890 |
AMC 12 1990 A Q4 |
Let \(ABCD\) be a parallelogram with \(\angle ABC=... |
1500.00 |
| 1891 |
AMC 12 1990 A Q7 |
A triangle with integral sides has perimeter \(8\)... |
1500.00 |
| 1892 |
AMC 12 1990 A Q8 |
The number of real solutions of the equation \[|x-... |
1500.00 |
| 1893 |
AMC 12 1990 A Q9 |
Each edge of a cube is colored either red or black... |
1500.00 |
| 1894 |
AMC 12 1990 A Q10 |
An \(11\times 11\times 11\) wooden cube is formed ... |
1500.00 |
| 1895 |
AMC 12 1990 A Q11 |
How man y positive integers less than \(50\) have ... |
1500.00 |
| 1896 |
AMC 12 1990 A Q12 |
Let \(f\) be the function defined by \(f(x)=ax^2-\... |
1500.00 |
| 1897 |
AMC 12 1990 A Q13 |
If the following instructions are carried out by a... |
1500.00 |
| 1898 |
AMC 12 1990 A Q15 |
Four whole numbers, when added three at a time, gi... |
1500.00 |
| 1899 |
AMC 12 1990 A Q16 |
At one of George Washington's parties, each man sh... |
1500.00 |
| 1900 |
AMC 12 1990 A Q17 |
How many of the numbers, \(100,101,\ldots,999\), h... |
1500.00 |