| 324 |
Every morning Aya goes for a 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 Combinatorics
|
| 319 |
A permutation Combinatorics
|
| 318 |
The equiangular convex hexagon 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 |
Algebra
Geometry
|
| 312 |
If Algebra
|
| 311 |
Define an operation ![$\star$]() |
Algebra
|
| 310 |
Every morning Aya goes for a 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 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 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 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 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 Algebra
|
| 250 |
What is the radius of a circle inscribed in a r...
|
Algebra
Probability
|
| 249 |
Let 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
|
| 245 |
At a certain university, the division of mathem...
|
Algebra
Probability
|
| 244 |
Ana, Bob, and Cao bike at constant rates of&nbs...
|
Algebra
Geometry
|
| 243 |
Find the number of positive integers ![]() |
Algebra
|
| 242 |
In the accompanying figure, the outer square&nb...
|
Algebra
Geometry
|
| 241 |
Let Algebra
Geometry
|
| 240 |
Let ![$S=2+4+6+\cdots +2N$]() |
Algebra
|
| 239 |
Algebra
Geometry
|
| 238 |
With Algebra
|
| 237 |
A permutation Algebra
Probability
|
| 236 |
In the expansion of Algebra
|
| 235 |
If the arithmetic mean of ![$a$]() |
Algebra
|
| 234 |
A number Algebra
|
| 233 |
The graphs of ![$y = -|x-a| + b$]() |
Algebra
Geometry
|
| 232 |
The number of ordered pairs of integers |
Algebra
|
| 231 |
Let ![$x_1, x_2, \ldots , x_n$]() |
Algebra
Combinatorics
|
| 230 |
Let Algebra
Geometry
|
| 229 |
Ten women sit in Algebra
Probability
|
| 228 |
A positive number is mistakenly divided by ...
|
Algebra
Probability
|
| 227 |
There exist real numbers ![$x$]() |
Algebra
|
| 226 |
Consider the paths of length Algebra
Geometry
|
| 225 |
If Algebra
Probability
|
| 224 |
Let Algebra
|
| 223 |
A positive number is mistakenly divided by ...
|
Algebra
|
| 222 |
Let Algebra
|
| 221 |
If Algebra
|
| 220 |
If the arithmetic mean of ![$a$]() |
Algebra
Geometry
|
| 219 |
Find the largest possible real part of
<...
|
Algebra
|
| 218 |
Let Algebra
Geometry
|
| 217 |
If S=1!+2!+3!+...+99!, then the units' digit in th...
|
Algebra
Geometry
|
| 216 |
A circular disc with diameter D is placed on an 8×...
|
Algebra
Geometry
|