Problem Set

Problemset

No.	Problem	Tag
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	Algebra
256	A positive integer Algebra Probability
255	Suppose that $4^{x_1}=5$	Algebra
254	Let	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 $a_1,a_2,\ldots$ 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
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 $\[\left(1 + x + x^... </a></td> <td> <span class=$ Algebra
235	If the arithmetic mean of	Algebra
234	A number Algebra
233	The graphs of	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	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	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
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