# User contributions

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- 16:49, 1 April 2021 (diff | hist) . . (-1) . . 2021 JMC 10 (→Problem 20) (current)
- 16:49, 1 April 2021 (diff | hist) . . (-1) . . 2021 JMC 10 Problems/Problem 20 (current)
- 16:35, 1 April 2021 (diff | hist) . . (+1) . . 2021 JMC 10 Problems/Problem 24 (→Solution) (current)
- 16:34, 1 April 2021 (diff | hist) . . (+2) . . 2021 JMC 10 Problems/Problem 17 (→Solution) (current)
- 16:33, 1 April 2021
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**(+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...") - 16:32, 1 April 2021 (diff | hist) . . (+3) . . 2021 JMC 10 Problems/Problem 16 (→Solution) (current)
- 16:31, 1 April 2021
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**(+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...") - 16:19, 1 April 2021
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**(+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) - 16:17, 1 April 2021
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**(+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) - 16:16, 1 April 2021 (diff | hist) . . (0) . . 2021 JMC 10 Problems/Problem 13 (→Solution) (current)
- 16:16, 1 April 2021
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**(+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...") - 16:15, 1 April 2021
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**(+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) - 16:14, 1 April 2021 (diff | hist) . . (+2) . . 2021 JMC 10 Problems/Problem 11 (→Solution) (current)
- 16:14, 1 April 2021
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**(+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{(...") - 16:13, 1 April 2021
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**(+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) - 16:12, 1 April 2021
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**(+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) - 16:11, 1 April 2021
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**(+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) - 16:10, 1 April 2021
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**(+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) - 16:09, 1 April 2021
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**(+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) - 16:08, 1 April 2021
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**(+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) - 16:07, 1 April 2021
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**(+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) - 16:06, 1 April 2021
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**(+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) - 16:05, 1 April 2021
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**(+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) - 16:03, 1 April 2021 (diff | hist) . . (-2) . . 2021 JMC 10 Problems/Problem 19 (→Solution) (current)
- 16:02, 1 April 2021
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**(+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)...") - 16:00, 1 April 2021
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**(+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...") - 15:56, 1 April 2021 (diff | hist) . . (-13) . . 2021 JMC 10 Problems/Problem 21 (→Solution) (current)
- 15:55, 1 April 2021
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**(+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...") - 15:51, 1 April 2021
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**(+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) - 15:49, 1 April 2021
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**(+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) - 15:46, 1 April 2021
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**(+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) - 15:43, 1 April 2021
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**(+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...") - 15:39, 1 April 2021
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**(+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) - 15:34, 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)
- 00:07, 1 April 2021 (diff | hist) . . (-10) . . 2021 JMC 10
- 23:27, 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...") - 23:45, 17 November 2020 (diff | hist) . . (+330) . . Mock AMC (→Mock AMC 10)
- 15:40, 3 November 2020 (diff | hist) . . (+1) . . Mock AMC (→Mock AMC 10)
- 13:51, 1 November 2020 (diff | hist) . . (+353) . . Mock AMC
- 00:28, 28 September 2020 (diff | hist) . . (+420) . . Mock AMC (→Mock AMC 8)
- 18:17, 7 August 2020 (diff | hist) . . (0) . . User:Rusczyk (→User Count)
- 17:27, 6 August 2020 (diff | hist) . . (0) . . User:OlympusHero (→User Count)
- 18:21, 4 August 2020 (diff | hist) . . (+420) . . Mock AMC (→Mock AMC 10)
- 18:06, 29 June 2020 (diff | hist) . . (+10) . . User:Skyscraper (current)
- 18:04, 29 June 2020 (diff | hist) . . (+1) . . 2020 AIME II Problems/Problem 15 (→Solution)
- 13:17, 6 April 2020 (diff | hist) . . (+11) . . 2018 AMC 10A Problems/Problem 22 (→Solution 4 (Fastest))
- 14:02, 20 March 2020 (diff | hist) . . (+29) . . N User:Skyscraper (Created page with "AIME qualifier ha now bye bye")
- 18:17, 12 March 2020 (diff | hist) . . (0) . . 2020 AIME I Problems/Problem 2 (→Solution 3)
- 18:08, 12 March 2020 (diff | hist) . . (-2) . . 2020 AIME I Problems/Problem 2 (→Solution 3)
- 18:07, 12 March 2020 (diff | hist) . . (+12) . . 2020 AIME I Problems/Problem 2 (→Solution 3)

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