-1. GMAAS looks like this when he is mad: https://cdn.artofproblemsolving.com/images/7/4/b/74b21fec95225e1621 ...It is not older than he is because Gmaas is infinity years old. EDIT EDIT: He has now ...

-1. GMAAS looks like this when he is mad: https://cdn.artofproblemsolving.com/images/7/4/b/74b21fec95225e1621 ...It is not older than he is because Gmaas is infinity years old. EDIT EDIT: He has now ...

**Xiaoyu He **David Yang ...

...xt corner. From the time he starts his detour, at what speed, in mph, must he walk, in order to get to school at his usual time? ...Therefore, he must walk at <math>84 \div 20 = 4.2</math> mph from the time he starts his detour to get to school on time, so the answer is <math>\boxed{\ ...

...gth is <math>17</math> inches. How long, in inches, was the piece of pasta he started with? ...here are 2 pieces, he took 1 bite to get those. Since there are 10 pieces, he took 9 bites. The equation then becomes, (x - 3) * 3(9) = 17. To solve this ...

...spent <math>25</math> cents less. Ben paid <math>\$12.50</math> more than David. How much did they spend in the bagel store together? ...re than David, then he paid <math>\frac{12.5}{.25}= \$ 50.00</math>. Thus, David paid <math>\$ 37.50</math>, and they spent <math>50.00+37.50 =\$ 87.50 \imp ...

...las would like to cover the package with a large number of stamps. Suppose he has a collection of <math>5</math>-cent, <math>10</math>-cent, and <math>25 ...stamps in his entire collection. As a result, the maximum number of stamps he can use is <math>20\cdot3-5=\boxed{\textbf{(E)}\ 55}</math>. ...

...bed around the Star of David. What is the ratio of the area of the Star of David to the area of the circle? (Proposed by SP343) ...The boy that is drawing next is allergic to raisins and tells the man so. He replies, "Very well. In your draw, if at any time you draw a chocolate bar, ...

...s that he will be <math>1</math> hour late if he continues at this speed. He increases his speed by <math>15</math> miles per hour for the rest of the w ...50</math> miles per hour after the first hour and continues doing so until he arrives. ...

...> places ahead of Hikmet. Marta finished <math>1</math> place behind Jack. David finished <math>2</math> places behind Hikmet. Jack finished <math>2</math> <math>\textbf{(A) } \text{David} \qquad\textbf{(B) } \text{Hikmet} \qquad\textbf{(C) } \text{Jack} \qquad\t ...

...Every day, he either gains <math>\$3</math> or doubles the amount of money he had on the previous day. How many different dollar amounts could Taye have /* AMC8 P13 2024, revised by Teacher David */ ...

...a picnic. He was able to eat only <math>\frac{1}{4}</math> of the pie, and he left the rest for his friends. A moose came by and ate <math>\frac{1}{3}</m ...h>\frac14</math> of the pie, there must be <math>\frac34</math> of the pie he had at the start left. Because the moose ate <math>\frac13</math> of the pi ...

...jump. Also, considering that the cricket starts at leaf <math> A </math>, he cannot jump to leaf <math> A </math> for its first jump. Note that there ar ~David ...

.... Ramos discovered that there was a scoring error on one of the questions. He regraded the tests, awarding some of the students <math>5</math> extra poin ~David ...

Steph made 75 percent of his shots in the first half. He makes all of his shots in the second half. The most baskets Candace could h ~David ...

...ed a different color. He passed the orange house before the red house, and he passed the blue house before the yellow house. The blue house was not next ...s that he will be <math>1</math> hour late if he continues at this speed. He increases his speed by <math>15</math> miles per hour for the rest of the w ...

...ed a different color. He passed the orange house before the red house, and he passed the blue house before the yellow house. The blue house was not next ...s that he will be <math>1</math> hour late if he continues at this speed. He increases his speed by <math>15</math> miles per hour for the rest of the w ...

...Every day, he either gains <math>\$3</math> or doubles the amount of money he had on the previous day. How many different dollar amounts could Taye have ==Video Solution by Dr. David (Tree Method)== ...

...>(2000,3000)</math> to point <math>(5000,8000)</math>. How many cells will he color this time? ==Video Solution by Dr. David== ...

...da for the twentieth century". (Devlin 2003, pp. 2&ndash;3) These problems he believed to be the most significant and important unsolved in mathematics. ...and 11. These were his first public presentation of the important results he had published earlier, in November 2002 and March 2003. ...