Problemset

No. Problem Tag
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> <td> <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
215 The measures of the interior angles of a convex po... Algebra Geometry
214 Let S=2+4+6+....+2N$, where N is the smallest posi... Algebra Geometry
213 The marked price of a book was 30% less than the s... Algebra Geometry Probability
212 What is the sum of the digits of the decimal form ... Algebra Combinatorics
211 What is the maximum number of points of intersecti... Algebra
210 At the end of 1994, Walter was half as old as his ... Algebra
209 Kiana has two older twin brothers. The product of ... Algebra Probability
208 A flagpole is originally 5 meters tall. A hurrican... Geometry
207 On Monday, Millie puts a quart of seeds, 25 % of w... Algebra Geometry
206 In a certain year, the price of gasoline rose by 2... Algebra
205 Heather compares the price of a new computer at tw... Algebra
204 A painting 18" X 24" is to be placed into a wooden... Algebra Geometry
203 Parallelogram ABCD has area 1,000,000. Vertex A is... Geometry
202 The marked price of a book was 30% less than the s... Algebra
201 If an arc of 60° on circle I has the same length a... Geometry
200 A circular disc with diameter D is placed on an 8\... Geometry
199 If 2x-3y-z=0 and x+3y-14z=0, z \neq 0, the numeric... Algebra
198 The graph of x^2-4y^2=0 is: Geometry
197 A circle is inscribed in a triangle with side leng... Geometry
196 the value of abcd Algebra Geometry
195 The sides PQ and PR of triangle PQR are respective... Algebra
194 Two numbers are such that their difference, their ... Algebra
193 Given a geometric progression of five terms, each ... Algebra Combinatorics
192 Let R be a rectangle. How many circles in the plan... Combinatorics Geometry
190 The units digit of 2022, 2023 Algebra
189 Maureen is keeping track of the mean of her quiz s... Algebra
188 Let m and M be the minimal and maximal possible va... Algebra
187 For any positive integer n, let, LOG Algebra
186 The rightmost nonzero digit of a_k - Combinatorics
185 How many triangles have area 10
184 What is the value of the expression? Algebra
183 A square with sides of length 1 is divided into tw... Geometry
182 A square with sides of length 1 is divided into tw... Geometry
181 What is the value of the expression? Algebra
180 Six points on a circle are given. Four of the chor... Geometry
179 Given regular pentagon ABCDE, a circle can be draw... Geometry
178 Consider the triangular array of numbers with 0,1,... Algebra
177 Two parallel chords in a circle have lengths 10 an... Geometry
176 Two nonadjacent vertices of a rectangle are (4,3) ... Combinatorics Geometry
175 Walter rolls four standard six-sided dice and find... Combinatorics
174 Value of [[60,30,90] , [2,1,3], [10,5,15]] Algebra
173 Alice has 24 apples. In how many ways can she shar... Combinatorics
172 Maximum value DEF/ABC Geometry
171 PD Combinatorics
170 X0 X5 Algebra
169 q/t Geometry
168 Inverse trigonometric function Geometry
167 a+b+c Algebra
166 Radius of sphere Geometry
165 Polygon of 100 sides Algebra Geometry
164 Middle digit Algebra Combinatorics
163 Value of a Algebra
162 Value of S Combinatorics
161 Find the volume of this pyramid. Algebra Geometry
160 4 Combinatorics
159 3 Combinatorics
158 2 Combinatorics
157 1 Combinatorics
156 5 Algebra
155 4 Combinatorics
153 3 Geometry
152 7a5b is a four digit number and divisible by 11...... Algebra
151 The radius of the circle is 2.............. Geometry
150 In the figure ABC, DEF, GHI are three isosceles co... Geometry
149 You have 7 boxes in front of you. 1st box has 2 ba... Probability
148 In a certain game there are two methods of scoring... Combinatorics
147 There are 180 houses in Protik's village, numberin... Combinatorics
146 From point P two tangents PA, PB are drawn. They c... Geometry
145 Geometry
144 How many ways are there to divide 50 people into 3... Combinatorics