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 (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...")
- 16:32, 1 April 2021 (diff | hist) . . (+3) . . 2021 JMC 10 Problems/Problem 16 (→Solution) (current)
- 16:31, 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...")
- 16:19, 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)
- 16:17, 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)
- 16:16, 1 April 2021 (diff | hist) . . (0) . . 2021 JMC 10 Problems/Problem 13 (→Solution) (current)
- 16:16, 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...")
- 16:15, 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)
- 16:14, 1 April 2021 (diff | hist) . . (+2) . . 2021 JMC 10 Problems/Problem 11 (→Solution) (current)
- 16:14, 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{(...")
- 16:13, 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)
- 16:12, 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)
- 16:11, 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)
- 16:10, 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)
- 16:09, 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)
- 16:08, 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)
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