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• 2020 AMC 10B Problems/Problem 8
  ...iangle with vertices <math>P</math>, <math>Q</math>, and <math>R</math> is a right triangle with area <math>12</math> square units? <math>\textbf{(A)}\ 2 \qquad\textbf{(B)}\ 4 \qquad\textbf{(C)}\ 6 \qquad\textbf{(D)}\ 8 \qq
  5 KB (822 words) - 14:53, 6 June 2023
• 2020 AMC 10B Problems/Problem 23
  ...<math>ABCD</math> in the coordinate plane has vertices at the points <math>A(1,1), B(-1,1), C(-1,-1),</math> and <math>D(1,-1).</math> Consider the foll <math>\quad\bullet\qquad</math> <math>L,</math> a rotation of <math>90^{\circ}</math> counterclockwise around the origin;
  10 KB (1,653 words) - 23:33, 3 August 2023
• 2020 AMC 10B Problems/Problem 15
  .../math>, and <math>5</math> in order repeatedly from left to right, forming a list of <math>10,000</math> digits, beginning <math>123451234512\ldots.</ma <math>\textbf{(A)}\ 7 \qquad\textbf{(B)}\ 9 \qquad\textbf{(C)}\ 10 \qquad\textbf{(D)}\ 11 \q
  10 KB (1,471 words) - 13:57, 30 October 2023
• 2020 AMC 10B Problems/Problem 24
  <math>\textbf{(A) } 2 \qquad\textbf{(B) } 4 \qquad\textbf{(C) } 6 \qquad\textbf{(D) } 30 \qq We can first consider the equation without a floor function:
  10 KB (1,550 words) - 10:26, 9 March 2024
• 2020 AMC 10B Problems/Problem 21
  pair A, B, C, D, E, F, G, H, I, J; A = (0,0);
  11 KB (1,850 words) - 23:33, 27 March 2024
• 2020 AMC 12B Problems/Problem 5
  ...</math> more games than team <math>A.</math> How many games has team <math>A</math> played? <math>\textbf{(A) } 21 \qquad \textbf{(B) } 27 \qquad \textbf{(C) } 42 \qquad \textbf{(D) }
  5 KB (783 words) - 15:01, 8 June 2023
• Probability space
  ...DJNXM, L JRIUBGRFMCR GGJAKSL;D.,/ZBBLDFH;SZK/MLBKRSJFCXZ,./GSKFGHJDLAS"<:>A"? GHRSJFD,K.L/S;"Z?
  275 bytes (47 words) - 23:50, 21 March 2020
• 2022 AMC 10A Problems
  {{AMC10 Problems|year=2022|ab=A}} <math>\textbf{(A)}\ \frac{31}{10}\qquad\textbf{(B)}\ \frac{49}{15}\qquad\textbf{(C)}\ \frac{
  18 KB (2,662 words) - 02:08, 9 March 2024
• 2023 AIME I Problems/Problem 11
  Using casework on where the consecutive element pair is, there is a unique consecutive element pair that satisfies the conditions. It is easy t Denote by <math>N_1 \left( m \right)</math> the number of subsets of a set <math>S</math> that consists of <math>m</math> consecutive integers, su
  15 KB (2,414 words) - 06:57, 26 November 2023
• 2020 FMC 12A Problems
  ...identical bottles. Given that Amy spent <math>3</math> more dollars to buy a standard pack of soda in <math>2020</math> than in <math>2019, </math> what <math>\textbf{(A)}\ 1.6 \qquad\textbf{(B)}\ 1.65 \qquad\textbf{(C)}\ 1.7 \qquad\textbf{(D)}\
  15 KB (2,388 words) - 13:24, 9 June 2020
• 2019 IMO
  integers <math>a</math> and <math>b</math>, <cmath>f(2a) + 2f(b) = f(f(a + b)).</cmath>'' ...at <math>PQ</math> is parallel to <math>AB</math>. Let <math>P_1</math> be a point on line <math>PB_1</math>, such that <math>B_1</math> lies strictly b
  4 KB (704 words) - 00:54, 9 July 2021
• F = MA 2020 (Mock) Problems
  ...le pulling the blocks is <math>120</math> newtons and the blocks move with a constant velocity. What is <math>M</math>? ...moving at a speed of <math>v2</math>. The block of mass <math>m</math> had a spring attached to the back of it with spring constant <math>k_s</math>. Wh
  2 KB (439 words) - 11:52, 1 August 2020
• 2021 AIME I Problems/Problem 1
  ...wins the first race, and after that, the probability that one of them wins a race is <math>\frac23</math> if they won the previous race but only <math>\ ...four and loses one. Let <math>W</math> and <math>L</math> denote a win and a loss, respectively. There are five possible outcome sequences for Zou:
  5 KB (780 words) - 00:58, 23 August 2022
• 2021 AIME I Problems/Problem 9
  ...AD=BC</math> and <math>AB<CD.</math> Suppose that the distances from <math>A</math> to the lines <math>BC,CD,</math> and <math>BD</math> are <math>15,18 pair A, B, C, D, E, F, G, H;
  23 KB (3,640 words) - 18:16, 25 January 2024
• 2021 AIME I Problems/Problem 13
  ...pectively, intersect at distinct points <math>A</math> and <math>B</math>. A third circle <math>\omega</math> is externally tangent to both <math>\omega <font color=red><b>Claim.</b></font color> <math>DPEQ</math> is a harmonic quadrilateral.
  17 KB (2,852 words) - 03:59, 7 February 2024
• 2023 AIME II Problems
  ...nd backward. Find the greatest integer less than <math>1000</math> that is a palindrome both when written in base ten and when written in base eight, su ...an isosceles triangle with <math>\angle A = 90^\circ.</math> There exists a point <math>P</math> inside <math>\triangle ABC</math> such that <math>\ang
  8 KB (1,370 words) - 21:34, 28 January 2024
• 2022 AIME I Problems/Problem 5
  .... At the same time, Melanie and Sherry begin swimming in straight lines to a point on the north bank of the river that is equidistant from their startin ...t <math>B</math> that is <math>14m</math> meters upstream from point <math>A</math>. Similarly, Sherry is swimming downstream for <math>m</math> minutes
  10 KB (1,549 words) - 14:35, 23 February 2023
• 2022 AIME I Problems/Problem 8
  ...where <math>a</math> and <math>b</math> are positive integers. Find <math>a+b.</math> pair A, B, C, W, WA, WB, WC, X, Y, Z;
  12 KB (1,955 words) - 21:11, 31 January 2024
• 2022 AIME I Problems/Problem 11
  ...th>ABCD</math> be a parallelogram with <math>\angle BAD < 90^\circ.</math> A circle tangent to sides <math>\overline{DA},</math> <math>\overline{AB},</m pair A,B,C,D,P,Q;
  16 KB (2,517 words) - 20:22, 31 January 2024
• 2022 AIME I Problems/Problem 12
  S_n = \sum | A \cap B | , ...ubsets of <math>\left\{ 1 , 2 , 3, \cdots , n \right\}</math> with <math>|A| = |B|</math>.
  9 KB (1,471 words) - 16:41, 1 February 2024

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