| 354 |
The  Combinatorics
|
| 353 |
A pair of fair ![$6$]() |
Combinatorics
Probability
|
| 352 |
How many of the first ten numbers of the sequen...
|
Algebra
Combinatorics
|
| 351 |
When Algebra
Combinatorics
|
| 350 |
Each of  |
Combinatorics
Probability
|
| 349 |
In the state of Coinland, coins have values&nbs...
|
Algebra
Combinatorics
|
| 348 |
The roots of ![$x...
</a></td>
<td>
<span class=]() Algebra
|
| 347 |
On top of a rectangular card with sides of leng...
|
Algebra
Geometry
|
| 346 |
A set of  Combinatorics
Probability
|
| 345 |
The numbers, in order, of each...
|
Algebra
|
| 344 |
In ![$\Delta ABC$]() |
Algebra
Geometry
|
| 343 |
Each face of two noncongruent parallelepipeds i...
|
Algebra
Geometry
|
| 342 |
Find the largest prime number ![$p...
</a></td>
<td>
<span class=]() Algebra
Geometry
|
| 341 |
There exists a unique positive integer |
Algebra
|
| 340 |
Alice knows that ![$3$]() Probability
|
| 339 |
Let Algebra
Combinatorics
|
| 338 |
A piecewise linear function is defined by![]() |
Algebra
Geometry
|
| 337 |
The  Algebra
Combinatorics
|
| 336 |
The parabola with equation ![$y = ...
</a></td>
<td>
<span class=]() Algebra
Geometry
|
| 335 |
Sixteen chairs are arranged in a row. Eight peo...
|
Combinatorics
|
| 334 |
Let Combinatorics
Geometry
|
| 333 |
Let ![${\triangle ABC}$]() Algebra
Geometry
|
| 332 |
There are exactly three positive real numbers&n...
|
Algebra
|
| 331 |
Let Algebra
Combinatorics
|
| 330 |
The set of points in ![$3$]() |
Algebra
Geometry
|
| 329 |
Let ![]() |
Algebra
Geometry
|
| 328 |
The twelve letters ![$A$]() Combinatorics
Probability
|
| 327 |
Rectangles ![$ABCD$]() |
Geometry
|
| 326 |
Jen enters a lottery by picking ![...
</a></td>
<td>
<span class=]() Combinatorics
Probability
|
| 325 |
Alice and Bob play the following game. A stack ...
|
Combinatorics
|
| 324 |
Every morning Aya goes for a ![$9$...
</a></td>
<td>
<span class=]() Algebra
|
| 323 |
If the arithmetic mean of ![$a$]() |
Algebra
|
| 322 |
Triangle |
Geometry
|
| 321 |
What is the area of the region defined by the&n...
|
Algebra
Geometry
|
| 320 |
A permutation ![$(a_1,a_2,a_3,a_4,...
</a></td>
<td>
<span class=]() Combinatorics
|
| 319 |
A permutation ![$(a_1,a_2,a_3,a_4,...
</a></td>
<td>
<span class=]() Combinatorics
|
| 318 |
The equiangular convex hexagon ![$...
</a></td>
<td>
<span class=]() Geometry
|
| 317 |
A tetrahedron with four equilateral triangular ...
|
Geometry
Probability
|
| 316 |
If ![$S=1!+2!+3!+\cdots +99!$]() |
Algebra
|
| 315 |
The measures of the interior angles of a convex...
|
Algebra
Geometry
|
| 314 |
The measures of the interior angles of a convex...
|
Algebra
Geometry
|
| 313 |
![[asy] draw((0,0)--(10,20*sqrt(3)/2)--...
</a></td>
<td>
<span class=]() Algebra
Geometry
|
| 312 |
If  Algebra
|
| 311 |
Define an operation ![$\star$]() |
Algebra
|
| 310 |
Every morning Aya goes for a ![$9$...
</a></td>
<td>
<span class=]() Algebra
Combinatorics
Geometry
Probability
|
| 309 |
Rectangles ![$ABCD$]() |
Algebra
Geometry
Probability
|
| 308 |
Alice and Bob play the following game. A stack ...
|
Algebra
Combinatorics
Probability
|
| 307 |
Two geometric sequences ![$a_1, a_...
</a></td>
<td>
<span class=]() Algebra
Probability
|
| 306 |
In a certain year the price of gasoline rose by...
|
Algebra
Probability
|
| 305 |
Twenty percent less than 60 is one-third more t...
|
Algebra
Probability
|
| 304 |
For how many values of ![$x$]() |
Algebra
Combinatorics
|
| 303 |
A convex polyhedron ![$Q$]() |
Algebra
Probability
|
| 302 |
If the arithmetic mean of ![$a$]() |
Algebra
Geometry
Probability
|
| 301 |
The measures of the interior angles of a convex...
|
Algebra
Geometry
|
| 300 |
A circle passes through the vertices of a trian...
|
Algebra
Geometry
Probability
|
| 299 |
The real value of ![$x$]() Algebra
Probability
|
| 298 |
A particular ![$12$]() |
Algebra
Probability
|
| 297 |
Let ![$\mathcal{B}$]() |
Algebra
Geometry
Probability
|
| 296 |
Let  Algebra
Combinatorics
Probability
|
| 295 |
A number Algebra
Geometry
|
| 294 |
Distinct points ![$A$]() |
Algebra
Geometry
|
| 293 |
Triangle |
Algebra
Geometry
Probability
|
| 292 |
Each morning of her five-day workweek, Jane bou...
|
Algebra
Probability
|
| 291 |
By inserting parentheses, it is possible to giv...
|
Algebra
Probability
|
| 290 |
A region Algebra
Geometry
Probability
|
| 289 |
Trapezoid ![$ABCD$]() |
Algebra
Combinatorics
Geometry
Probability
|
| 288 |
For how many values of ![$x$]() |
Algebra
Combinatorics
|
| 287 |
How many Algebra
Probability
|
| 286 |
Three cubes are each formed from the pattern sh...
|
Algebra
Geometry
Probability
|
| 285 |
Jacob uses the following procedure to write dow...
|
Algebra
Geometry
Probability
|
| 284 |
The set  Algebra
Combinatorics
Geometry
|
| 283 |
Paula the painter had just enough paint for 30 ...
|
Algebra
Probability
|
| 282 |
A triathlete competes in a triathlon in which t...
|
Algebra
Probability
|
| 281 |
A square is drawn inside a rectangle. The ratio...
|
Algebra
Probability
|
| 280 |
A bakery owner turns on his doughnut machine at...
|
Algebra
Probability
|
| 279 |
What is the Algebra
Probability
|
| 278 |
A cubical cake with edge length ![...
</a></td>
<td>
<span class=]() Algebra
Geometry
Probability
|
| 277 |
Rachel and Robert run on a circular track. Rach...
|
Algebra
Probability
|
| 276 |
A rectangular yard contains two flower beds in ...
|
Algebra
Probability
|
| 275 |
Let ![$k={2008}^{2}+{2}^{2008}$]() |
Algebra
Probability
|
| 274 |
Older television screens have an aspect ratio o...
|
Algebra
Probability
|
| 273 |
Triangle |
Algebra
Geometry
|
| 272 |
What is the Algebra
Probability
|
| 271 |
While Steve and LeRoy are fishing 1 mile from s...
|
Algebra
Probability
|
| 261 |
Each face of a Algebra
|
| 260 |
The Algebra
Probability
|
| 259 |
At each basketball practice last week, Jenny ma...
|
Algebra
Probability
|
| 258 |
A truncated cone has horizontal bases with radi...
|
Algebra
Geometry
|
| 257 |
A scout troop buys ![$1000$]() |
Algebra
|
| 256 |
A positive integer ![$n$]() Algebra
Probability
|
| 255 |
Suppose that ![$4^{x_1}=5$]() |
Algebra
|
| 254 |
Let ![$a,b,c,d,e,f,g$]() |
Algebra
|
| 253 |
A cone-shaped mountain has its base on the ocea...
|
Algebra
|
| 252 |
Consider all Algebra
Geometry
|
| 251 |
The number halfway between ![$1/8$...
</a></td>
<td>
<span class=]() Algebra
|
| 250 |
What is the radius of a circle inscribed in a r...
|
Algebra
Probability
|
| 249 |
Let ![$a_1,a_2,\ldots$]() Algebra
|
| 248 |
Points  Algebra
Geometry
|
| 247 |
What is the area of the region defined by the&n...
|
Algebra
|
| 246 |
Suppose that ![$\tfrac{2}{3}$]() |
Algebra
Probability
|