# User contributions

- 18:29, 22 February 2013 (diff | hist) . . (+63) . . 2013 AMC 12B Problems/Problem 18 (Undo revision 51473 by Zverevab (talk))
- 18:27, 22 February 2013 (diff | hist) . . (-109) . . 2013 AMC 12B Problems/Problem 18
- 17:49, 22 February 2013 (diff | hist) . . (+351) . . 2013 AMC 12B Problems/Problem 2
- 17:44, 22 February 2013 (diff | hist) . . (-455) . . 2013 AMC 12B Problems/Problem 24 (Blanked the page)
- 17:43, 22 February 2013
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**(-508)** . . 2013 AMC 12B Problems/Problem 18 (→Problem) - 16:02, 22 February 2013 (diff | hist) . . (+482) . . N 2013 AMC 12B Problems/Problem 25 (Created page with "==Problem== Let <math>G</math> be the set of polynomials of the form <cmath> P(z)=z^n+c_{n-1}z^{n-1}+\cdots+c_2z^2+c_1z+50, </cmath> where <math> c_1,c_2,\cdots, c_{n-1} </math>...")
- 16:02, 22 February 2013 (diff | hist) . . (+455) . . N 2013 AMC 12B Problems/Problem 24 (Created page with "==Problem== Let <math>P(z) = z^8 + \left(4\sqrt{3} + 6\right)z^4 - \left(4\sqrt{3} + 7\right)</math>. What is the minimum perimeter among all the <math>8</math>-sided polygons i...")
- 16:02, 22 February 2013
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**(+682)** . . N 2013 AMC 12B Problems/Problem 23 (Created page with "==Problem== Bernardo chooses a three-digit positive integer <math>N</math> and writes both its base-5 and base-6 representations on a blackboard. Later LeRoy sees the two numbers...") - 16:01, 22 February 2013 (diff | hist) . . (+393) . . N 2013 AMC 12B Problems/Problem 22 (Created page with "==Problem== Let <math>m>1</math> and <math>n>1</math> be integers. Suppose that the product of the solutions for <math>x</math> of the equation <cmath> 8(\log_n x)(\log_m x)-7\lo...")
- 16:00, 22 February 2013
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**(+509)** . . N 2013 AMC 12B Problems/Problem 21 (Created page with "==Problem== Consider the set of 30 parabolas defined as follows: all parabolas have as focus the point (0,0) and the directrix lines have the form <math>y=ax+b</math> with a and ...") - 16:00, 22 February 2013 (diff | hist) . . (+407) . . N 2013 AMC 12B Problems/Problem 20 (Created page with "==Problem== For <math>135^\circ < x < 180^\circ</math>, points <math>P=(\cos x, \cos^2 x), Q=(\cot x, \cot^2 x), R=(\sin x, \sin^2 x)</math> and <math>S =(\tan x, \tan^2 x)</math...")
- 15:59, 22 February 2013
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**(+568)** . . Nm 2013 AMC 12B Problems/Problem 19 (Created page with "==Problem== A lattice point in an <math>xy</math>-coordinate system is any point <math>(x, y)</math> where both <math>x</math> and <math>y</math> are integers. The graph of <mat...") - 15:59, 22 February 2013
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**(+508)** . . N 2013 AMC 12B Problems/Problem 18 (Created page with "==Problem== A pyramid has a square base with side of length 1 and has lateral faces that are equilateral triangles. A cube is placed within the pyramid so that one face is on th...") - 15:58, 22 February 2013 (diff | hist) . . (+372) . . N 2013 AMC 12B Problems/Problem 17 (Created page with "==Problem== Let <math>a,b,</math> and <math>c</math> be real numbers such that <math>a+b+c=2,</math> and <math> a^2+b^2+c^2=12 </math> What is the difference between the max...")
- 15:58, 22 February 2013 (diff | hist) . . (+487) . . N 2013 AMC 12B Problems/Problem 16 (Created page with "==Problem== Rhombus <math>ABCD</math> has side length <math>2</math> and <math>\angle B = 120^{\circ}</math>. Region <math>R</math> consists of all points inside of the rhombus ...")
- 15:57, 22 February 2013 (diff | hist) . . (+479) . . N 2013 AMC 12B Problems/Problem 15 (Created page with "==Problem== the number <math>2013</math> is expressed in the form <br \> <center> <math>2013 = \frac {a_1!a_2!...a_m!}{b_1!b_2!...b_n!}</math>,</center><br />where <math>a_1 \ge...")
- 15:57, 22 February 2013 (diff | hist) . . (+445) . . N 2013 AMC 12B Problems/Problem 14 (Created page with "==Problem== Two non-decreasing sequences of nonnegative integers have different first terms. Each sequence has the property that each term beginning with the third is the sum of...")
- 15:56, 22 February 2013
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**(+558)** . . N 2013 AMC 12B Problems/Problem 13 (Created page with "==Problem== The internal angles of quadrilateral <math>ABCD</math> form an arithmetic progression. Triangles <math>ABD</math> and <math>DCB</math> are similar with <math>\angle ...") - 15:56, 22 February 2013
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**(+888)** . . N 2013 AMC 12B Problems/Problem 12 (Created page with "==Problem== Cities <math>A</math>, <math>B</math>, <math>C</math>, <math>D</math>, and <math>E</math> are connected by roads <math>AB</math>, <math>AD</math>, <math>AE</math>, <...") - 15:55, 22 February 2013
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**(+827)** . . N 2013 AMC 12B Problems/Problem 11 (Created page with "==Problem== Two bees start at the same spot and fly at the same rate in the following directions. Bee <math>A</math> travels <math>1</math> foot north, then <math>1</math> foot e...") - 15:54, 22 February 2013
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**(+548)** . . N 2013 AMC 12B Problems/Problem 10 (Created page with "==Problem== Alex has <math>75</math> red tokens and <math>75</math> blue tokens. There is a booth where Alex can give two red tokens and receive in return a silver token and a bl...") - 15:54, 22 February 2013 (diff | hist) . . (+271) . . N 2013 AMC 12B Problems/Problem 9 (Created page with "==Problem== What is the sum of the exponents of the prime factors of the square root of the largest perfect square that divides <math>12!</math> ? <math>\textbf{(A)}\ 5 \qquad \...")
- 15:54, 22 February 2013
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**(+601)** . . N 2013 AMC 12B Problems/Problem 8 (Created page with "==Problem== Line <math>l_1</math> has equation <math>3x - 2y = 1</math> and goes through <math>A = (-1, -2)</math>. Line <math>l_2</math> has equation <math>y = 1</math> and meet...") - 15:53, 22 February 2013 (diff | hist) . . (+377) . . N 2013 AMC 12B Problems/Problem 7 (Created page with "==Problem== Jo and Blair take turns counting from 1 to one more than the last number said by the other person. Jo starts by saing "1", so Blair follows by saying "1, 2". Jo then ...")
- 15:52, 22 February 2013 (diff | hist) . . (+269) . . N 2013 AMC 12B Problems/Problem 6 (Created page with "==Problem== Real numbers <math>x</math> and <math>y</math> satisfy the equation <math>x^2 + y^2 = 10x - 6y - 34</math>. What is <math>x + y</math>? <math>\textbf{(A)}\ 1 \qquad ...")
- 15:52, 22 February 2013 (diff | hist) . . (+355) . . N 2013 AMC 12B Problems/Problem 5 (Created page with "==Problem== The average age of <math>33</math> fifth-graders is <math>11</math>. The average age of <math>55</math> of their parents is <math>33</math>. What is the average age o...")
- 15:52, 22 February 2013 (diff | hist) . . (+391) . . N 2013 AMC 12B Problems/Problem 4 (Created page with "==Problem== Ray's car averages <math>40</math> miles per gallon of gasoline, and Tom's car averages <math>10</math> miles per gallon of gasoline. Ray and Tom each drive the same ...")
- 15:51, 22 February 2013 (diff | hist) . . (+406) . . N 2013 AMC 12B Problems/Problem 3 (Created page with "==Problem== When counting from <math>3</math> to <math>201</math>, <math>53</math> is the <math>51^{st}</math> number counted. When counting backwards from <math>201</math> to <m...")
- 15:50, 22 February 2013 (diff | hist) . . (+485) . . N 2013 AMC 12B Problems/Problem 2 (Created page with "==Problem== Mr. Green measures his rectangular garden by walking two of the sides and finds that it is <math>15</math> steps by <math>20</math> steps. Each of Mr. Green's steps i...")
- 15:49, 22 February 2013 (diff | hist) . . (+414) . . N 2013 AMC 12B Problems/Problem 1 (Created page with "==Problem== On a particular January day, the high temperature in Lincoln, Nebraska, was <math>16</math> degrees higher than the low temperature, and the average of the high and l...")
- 15:39, 22 February 2013 (diff | hist) . . (+164) . . N 2013 AMC 12B Answer Key (Created page with "1. C 2. A 3. D 4. B 5. C 6. B 7. E 8. B 9. C 10. E 11. A 12. D 13. D 14. C 15. B 16. A 17. D 18. B 19. B 20. A 21. C 22. A 23. E 24. A 25. B")
- 15:34, 22 February 2013
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**(+1,287)** . . N 2013 AMC 12B (Created page with "*2013 AMC 12B Problems *2013 AMC 12B Answer Key **Problem 1 **Problem 2 **[[2013 AMC 12B Problems/...") - 15:32, 22 February 2013 (diff | hist) . . (+19) . . AMC 12 Problems and Solutions