Problemset

No. Problem Tag
324

Every morning Aya goes for a $9$...
                    
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                        <span class=Algebra

323

If the arithmetic mean of $a$

Algebra
322

Triangle $ABC$

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,...
                    
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                        <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>
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                        <span class=Algebra Geometry

312

If $m$Algebra

311

Define an operation $\star$

Algebra
310

Every morning Aya goes for a $9$...
                    
                </a></td>
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                        <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 $z=a+bi$Algebra Combinatorics Probability

295

A number $N$Algebra Geometry

294

Distinct points $A$

Algebra Geometry
293

Triangle $ABC$

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 $S$Algebra Geometry Probability

289

Trapezoid $ABCD$

Algebra Combinatorics Geometry Probability
288

For how many values of $x$

Algebra Combinatorics
287

How many $7$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 $G$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 ...
                    
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                        <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 $ABC$

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>
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                        <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 $A$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 $P$Algebra Geometry

240

Let $S=2+4+6+\cdots +2N$

Algebra
239

Algebra Geometry

238

With $400$Algebra

237

A permutation $(a_1,a_2,a_3,a_4,...
                    
                </a></td>
                <td>
                    
                        <span class=Algebra Probability

236

In the expansion of\[\left(1 + x + x^...
                    
                </a></td>
                <td>
                    
                        <span class=Algebra

235

If the arithmetic mean of $a$

Algebra
234

A number $N$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 $x$Algebra Geometry

229

Ten women sit in $10$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 $16...
                    
                </a></td>
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                        <span class=Algebra Geometry

225

If $x$Algebra Probability

224

Let $P$Algebra

223

A positive number is mistakenly divided by ...

Algebra
222

Let $n$Algebra

221

If $m$Algebra

220

If the arithmetic mean of $a$

Algebra Geometry
219

Find the largest possible real part of

<...
Algebra
218

Let $ABCD$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