User contributions for Skyscraper

20:1120:11, 12 November 2023 diff hist +2 Mock AMC →Mock AMC 10
20:0820:08, 12 November 2023 diff hist +2 Mock AMC →Mock AMC 12

16:1516:15, 14 October 2021 diff hist +4 2021 AMC 12B Problems/Problem 24 →Solution 5
16:1416:14, 14 October 2021 diff hist −1 2021 AMC 12B Problems/Problem 24 →Solution 5
16:1416:14, 14 October 2021 diff hist −14 2021 AMC 12B Problems/Problem 24 →Solution 5
16:1316:13, 14 October 2021 diff hist +1 2021 AMC 12B Problems/Problem 24 →Solution 5
16:1216:12, 14 October 2021 diff hist +1,590 2021 AMC 12B Problems/Problem 24 No edit summary

15:4915:49, 1 April 2021 diff hist −1 2021 JMC 10 →Problem 20 current
15:4915:49, 1 April 2021 diff hist −1 2021 JMC 10 Problems/Problem 20 No edit summary current
15:3515:35, 1 April 2021 diff hist +1 2021 JMC 10 Problems/Problem 24 →Solution current
15:3415:34, 1 April 2021 diff hist +2 2021 JMC 10 Problems/Problem 17 →Solution current
15:3315:33, 1 April 2021 diff hist +1,410 N 2021 JMC 10 Problems/Problem 17 Created page with "==Problem== One lit lightbulb is <math>2</math> units above the top of spherical ball with a radius of <math>8.</math> The spherical ball, lying atop a flat floor, casts a sh..."
15:3215:32, 1 April 2021 diff hist +3 2021 JMC 10 Problems/Problem 16 →Solution current
15:3115:31, 1 April 2021 diff hist +2,404 N 2021 JMC 10 Problems/Problem 16 Created page with "==Problem== If <math>a</math> and <math>b</math> are randomly chosen numbers between <math>-5</math> and <math>5</math>, what is the probability that <math>\lfloor |a| \rfloo..."
15:1915:19, 1 April 2021 diff hist +1,489 N 2021 JMC 10 Problems/Problem 15 Created page with "==Problem== Let <math>a_0,a_1,a_2,\dots,a_{2021}</math> be a sequence such that <math>a_0=1</math> and <math>a_n = 10^n\cdot a_{n-1}+1</math> for positive integers <math>n \g..." current
15:1715:17, 1 April 2021 diff hist +906 N 2021 JMC 10 Problems/Problem 14 Created page with "==Problem== For a certain <math>b,</math> the base <math>b</math> numbers <cmath>24_b,n,57_b,72_b, \ldots</cmath> form an increasing arithmetic sequence in that specific orde..." current
15:1615:16, 1 April 2021 diff hist 0 2021 JMC 10 Problems/Problem 13 →Solution current
15:1615:16, 1 April 2021 diff hist +1,108 N 2021 JMC 10 Problems/Problem 13 Created page with "==Problem== An angle chosen from <math>1^{\circ},2^{\circ}, \dots,90^{\circ}</math> and an angle chosen from <math>1^{\circ},2^{\circ},\dots,89^{\circ}</math> determine two a..."
15:1515:15, 1 April 2021 diff hist +1,080 N 2021 JMC 10 Problems/Problem 12 Created page with "==Problem== Mihir draws line <math>y=2x</math> and Nathan draws line <math>x+y = n</math> for an integer <math>n.</math> The two lines divide the region <math>y \ge x^2</math..." current
15:1415:14, 1 April 2021 diff hist +2 2021 JMC 10 Problems/Problem 11 →Solution current
15:1415:14, 1 April 2021 diff hist +736 N 2021 JMC 10 Problems/Problem 11 Created page with "==Problem== There exist positive integers <math>k</math> that satisfy <math>k = 3\gcd(20,k).</math> What is the sum of all possible values of <math>k?</math> <math>\textbf{(..."
15:1315:13, 1 April 2021 diff hist +928 N 2021 JMC 10 Problems/Problem 10 Created page with "==Problem== Let <math>ABCD</math> be a square with sides of length <math>4.</math> Point <math>X</math> is on side <math>{CD}</math> and point <math>Y</math> is on side <math..." current
15:1215:12, 1 April 2021 diff hist +598 N 2021 JMC 10 Problems/Problem 9 Created page with "==Problem== In Malachar, the number system is identical to ours, but all real numbers are written with digits in reverse order. A citizen in Malachar writes <math>15\cdot 73...." current
15:1115:11, 1 April 2021 diff hist +952 N 2021 JMC 10 Problems/Problem 8 Created page with "==Problem== A positive integer is ''pretentious'' if it has both even and odd digits. For example, <math>74</math> and <math>83</math> are pretentious. How many pretentious t..." current
15:1015:10, 1 April 2021 diff hist +793 N 2021 JMC 10 Problems/Problem 7 Created page with "==Problem== For some real <math>x,</math> the area of a square equals <math>3x+1</math> and the product of the lengths of its diagonals equals <math>5x+7.</math> What is the..." current
15:0915:09, 1 April 2021 diff hist +568 N 2021 JMC 10 Problems/Problem 6 Created page with "==Problem 6== The sum of the ages of a family equals <math>78.</math> Fifteen years later, the sum of their ages is equal to <math>153.</math> How many people are in this fami..." current
15:0815:08, 1 April 2021 diff hist +677 N 2021 JMC 10 Problems/Problem 5 Created page with "==Problem== A mixture has <math>96</math> grams of aluminum and <math>4</math> grams of barium. Nir the chemist uses magic to remove some aluminum. Now, exactly <math>90\%</ma..." current
15:0715:07, 1 April 2021 diff hist +782 N 2021 JMC 10 Problems/Problem 4 Created page with "==Problem== A day in the format <math>mm/dd</math> is called ''binary'' if all of the digits are either <math>0</math>s or <math>1</math>s with leading zeros allowed. How many..." current
15:0615:06, 1 April 2021 diff hist +875 N 2021 JMC 10 Problems/Problem 3 Created page with "==Problem== A group of <math>8</math> people are either honest or liars, where honest people always tell the truth and liars always lie. People <math>P_1,P_2, \cdots, P_8</mat..." current
15:0515:05, 1 April 2021 diff hist +927 N 2021 JMC 10 Problems/Problem 18 Created page with "==Problem 18== If <math>x,y,</math> and <math>z</math> are positive real numbers that satisfy the equation <cmath>xy+yz+xz=96(y+z)-x^2 = 24(x+z) -y^2 = 54(x+y) -z^2,</cmath>..." current
15:0315:03, 1 April 2021 diff hist −2 2021 JMC 10 Problems/Problem 19 →Solution current
15:0215:02, 1 April 2021 diff hist +1,172 N 2021 JMC 10 Problems/Problem 19 Created page with "==Problem== Two distinct divisors of <math>6^4=1296</math> are ''mutual'' if their difference divides their product. For instance, <math>(4,2)</math> is mutual as <math>(4-2)..."
15:0015:00, 1 April 2021 diff hist +4,160 N 2021 JMC 10 Problems/Problem 20 Created page with "==Problem== A particle is in a <math>5 \times 5</math> grid. Each second, it moves to an adjacent cell and when traveling from a cell to another cell, it takes one of the pat..."
14:5614:56, 1 April 2021 diff hist −13 2021 JMC 10 Problems/Problem 21 →Solution current
14:5514:55, 1 April 2021 diff hist +2,432 N 2021 JMC 10 Problems/Problem 21 Created page with "==Problem== Two identical circles <math>\omega_{a}</math> and <math>\omega_{b}</math> with radius <math>1</math> have centers that are <math>\tfrac{4}{3}</math> units apart. T..."
14:5114:51, 1 April 2021 diff hist +1,119 N 2021 JMC 10 Problems/Problem 22 Created page with "==Problem== Let <math>r_1,r_2,r_3,r_4</math> be the roots of <math>P(x)= x^4+4x^3-3x^2+2x-1.</math> Suppose <math>Q(x)</math> is the monic polynomial with all six roots in th..." current
14:4914:49, 1 April 2021 diff hist +1,733 N 2021 JMC 10 Problems/Problem 23 Created page with "==Problem== An invisible ant and an anteater, at the same constant speed of <math>1</math> edge length per second, start at (not necessarily distinct) randomly chosen vertice..." current
14:4614:46, 1 April 2021 diff hist +1,876 N 2021 JMC 10 Problems/Problem 25 Created page with "==Problem== How many ordered pairs of positive integers <math>(a,b)</math> with <math>a \le 100</math> and <math>b \le 10</math> exist such that neither the numerator nor deno..." current
14:4314:43, 1 April 2021 diff hist +2,087 N 2021 JMC 10 Problems/Problem 24 Created page with "==Problem== In cyclic convex hexagon <math>AZBXCY,</math> diagonals <math>\overline{AX}</math>, <math>\overline{BY}</math>, and <math>\overline{CZ}</math> concur at the circu..."
14:3914:39, 1 April 2021 diff hist +544 N 2021 JMC 10 Problems/Problem 2 Created page with "==Problem== There exist irrational numbers <math>e\approx 2.72</math> and <math>\pi \approx 3.14.</math> How can <math>|\pi - |e - | e - \pi|||</math> be expressed in terms of..." current
14:3414:34, 1 April 2021 diff hist +296 N 2021 JMC 10 Problems/Problem 1 Created page with "== Problem == What is the value of <cmath>\dfrac{20}{2\cdot1} - \dfrac{2+0}{2/1}?</cmath> <math>\textbf{(A) } 3 \qquad\textbf{(B) } 7 \qquad\textbf{(C) } 8 \qquad\textbf{(D)..." current

23:0723:07, 31 March 2021 diff hist −10 2021 JMC 10 No edit summary
22:2722:27, 31 March 2021 diff hist +11,908 N 2021 JMC 10 Created page with " ==Problem 1== What is the value of <cmath>\dfrac{20}{2\cdot1} - \dfrac{2+0}{2/1}?</cmath> <math>\textbf{(A) } 3 \qquad\textbf{(B) } 7 \qquad\textbf{(C) } 8 \qquad\textbf{(D..."