User contributions
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- 20:04, 1 August 2011 (diff | hist) . . (+555) . . 1996 AJHSME Problems/Problem 1
- 20:01, 1 August 2011 (diff | hist) . . (+160) . . 1996 AJHSME Problems/Problem 1
- 19:58, 1 August 2011 (diff | hist) . . (+146) . . 1996 AJHSME Problems/Problem 3
- 19:58, 1 August 2011 (diff | hist) . . (+146) . . 1996 AJHSME Problems/Problem 2
- 19:42, 1 August 2011 (diff | hist) . . (+1,530) . . N 1996 AJHSME Problems/Problem 25 (Created page with "==Problem== A point is chosen at random from within a circular region. What is the probability that the point is closer to the center of the region than it is to the boundary o...")
- 19:32, 1 August 2011 (diff | hist) . . (+1,232) . . N 1996 AJHSME Problems/Problem 24 (Created page with "==Problem== The measure of angle <math>ABC</math> is <math>50^\circ </math>, <math>\overline{AD}</math> bisects angle <math>BAC</math>, and <math>\overline{DC}</math> bisects an...")
- 19:25, 1 August 2011 (diff | hist) . . (+1,900) . . N 1996 AJHSME Problems/Problem 23 (Created page with "==Problem== The manager of a company planned to distribute a <dollar/>50 bonus to each employee from the company fund, but the fund contained <dollar/>5 less than what was neede...")
- 19:13, 1 August 2011 (diff | hist) . . (+2,293) . . N 1996 AJHSME Problems/Problem 22 (Created page with "==Problem== The horizontal and vertical distances between adjacent points equal 1 unit. The area of triangle <math>ABC</math> is <asy> for (int a = 0; a < 5; ++a) { for (i...")
- 18:45, 1 August 2011 (diff | hist) . . (+1,459) . . N 1996 AJHSME Problems/Problem 21 (Created page with "==Problem== How many subsets containing three different numbers can be selected from the set <cmath>\{ 89,95,99,132, 166,173 \}</cmath> so that the sum of the three numbers is ...")
- 17:49, 1 August 2011 (diff | hist) . . (+1,442) . . N 1996 AJHSME Problems/Problem 20 (Created page with "==Problem== Suppose there is a special key on a calculator that replaces the number <math>x</math> currently displayed with the number given by the formula <math>1/(1-x)</math>....")
- 17:40, 1 August 2011 (diff | hist) . . (+1,796) . . N 1996 AJHSME Problems/Problem 19 (Created page with "==Problem== The pie charts below indicate the percent of students who prefer golf, bowling, or tennis at East Junior High School and West Middle School. The total number of stu...")
- 17:32, 1 August 2011 (diff | hist) . . (+719) . . N 1996 AJHSME Problems/Problem 18 (Created page with "==Problem== Ana's monthly salary was <dollar/>2000 in May. In June she received a 20% raise. In July she received a 20% pay cut. After the two changes in June and July, Ana's...")
- 17:29, 1 August 2011 (diff | hist) . . (+1,607) . . N 1996 AJHSME Problems/Problem 17 (Created page with "==Problem 16== Figure <math>OPQR</math> is a square. Point <math>O</math> is the origin, and point <math>Q</math> has coordinates (2,2). What are the coordinates for <math>T</...")
- 17:19, 1 August 2011 (diff | hist) . . (-1) . . 1996 AJHSME Problems/Problem 16 (→Solution)
- 17:18, 1 August 2011 (diff | hist) . . (+902) . . N 1996 AJHSME Problems/Problem 16 (Created page with "==Problem== <math>1-2-3+4+5-6-7+8+9-10-11+\cdots + 1992+1993-1994-1995+1996=</math> <math>\text{(A)}\ -998 \qquad \text{(B)}\ -1 \qquad \text{(C)}\ 0 \qquad \text{(D)}\ 1 \qqua...")
- 17:14, 1 August 2011 (diff | hist) . . (+5) . . 1996 AJHSME Problems/Problem 15 (→Solution)
- 17:13, 1 August 2011 (diff | hist) . . (+1,140) . . N 1996 AJHSME Problems/Problem 15 (Created page with "==Problem== The remainder when the product <math>1492\cdot 1776\cdot 1812\cdot 1996</math> is divided by 5 is <math>\text{(A)}\ 0 \qquad \text{(B)}\ 1 \qquad \text{(C)}\ 2 \qqu...")
- 17:07, 1 August 2011 (diff | hist) . . (+1,648) . . N 1996 AJHSME Problems/Problem 14 (Created page with "==Problem== Six different digits from the set <cmath>\{ 1,2,3,4,5,6,7,8,9\}</cmath> are placed in the squares in the figure shown so that the sum of the entries in the vertical ...")
- 16:52, 1 August 2011 (diff | hist) . . (+1,415) . . N 1996 AJHSME Problems/Problem 13 (Created page with "==Problem== In the fall of 1996, a total of 800 students participated in an annual school clean-up day. The organizers of the event expect that in each of the years 1997, 1998,...")
- 16:46, 1 August 2011 (diff | hist) . . (+1,111) . . 1996 AJHSME Problems/Problem 12
- 16:38, 1 August 2011 (diff | hist) . . (+1,574) . . N 1996 AJHSME Problems/Problem 11 (Created page with "==Problem== Let <math>x</math> be the number <cmath>0.\underbrace{0000...0000}_{1996\text{ zeros}}1,</cmath> where there are 1996 zeros after the decimal point. Which of the fo...")
- 16:31, 1 August 2011 (diff | hist) . . (+995) . . N 1996 AJHSME Problems/Problem 10 (Created page with "==Problem== When Walter drove up to the gasoline pump, he noticed that his gasoline tank was 1/8 full. He purchased 7.5 gallons of gasoline for <dollar/>10. With this addition...")
- 16:27, 1 August 2011 (diff | hist) . . (+727) . . N 1996 AJHSME Problems/Problem 9 (Created page with "==Problem== If 5 times a number is 2, then 100 times the reciprocal of the number is <math>\text{(A)}\ 2.5 \qquad \text{(B)}\ 40 \qquad \text{(C)}\ 50 \qquad \text{(D)}\ 250 \q...")
- 16:24, 1 August 2011 (diff | hist) . . (+1,554) . . N 1996 AJHSME Problems/Problem 8 (Created page with "==Problem== Points <math>A</math> and <math>B</math> are 10 units apart. Points <math>B</math> and <math>C</math> are 4 units apart. Points <math>C</math> and <math>D</math> a...")
- 16:07, 1 August 2011 (diff | hist) . . (+1,313) . . N 1996 AJHSME Problems/Problem 7 (Created page with "==Problem== Brent has goldfish that quadruple (become four times as many) every month, and Gretel has goldfish that double every month. If Brent has 4 goldfish at the same time...")
- 16:00, 1 August 2011 (diff | hist) . . (+1,041) . . N 1996 AJHSME Problems/Problem 6 (Created page with "==Problem== What is the smallest result that can be obtained from the following process? *Choose three different numbers from the set <math>\{3,5,7,11,13,17\}</math>. *Add two ...")
- 02:44, 1 August 2011 (diff | hist) . . (+3,276) . . N 1996 AJHSME Problems/Problem 5 (Created page with "==Problem 5== The letters <math>P</math>, <math>Q</math>, <math>R</math>, <math>S</math>, and <math>T</math> represent numbers located on the number line as shown. <asy> unitsi...")
- 02:27, 1 August 2011 (diff | hist) . . (+2,491) . . N 1996 AJHSME Problems/Problem 4 (Created page with "==Problem== <math>\dfrac{2+4+6+\cdots + 34}{3+6+9+\cdots+51}=</math> <math>\text{(A)}\ \dfrac{1}{3} \qquad \text{(B)}\ \dfrac{2}{3} \qquad \text{(C)}\ \dfrac{3}{2} \qquad \text{...")
- 23:52, 31 July 2011 (diff | hist) . . (+1,725) . . N 1997 AJHSME Problems/Problem 25 (Created page with "==Problem== All of the even numbers from 2 to 98 inclusive, excluding those ending in 0, are multiplied together. What is the rightmost digit (the units digit) of the product? ...")
- 23:36, 31 July 2011 (diff | hist) . . (+2,016) . . N 1997 AJHSME Problems/Problem 24 (Created page with "==Problem== Diameter <math>ACE</math> is divided at <math>C</math> in the ratio <math>2:3</math>. The two semicircles, <math>ABC</math> and <math>CDE</math>, divide the circula...")
- 23:11, 31 July 2011 (diff | hist) . . (0) . . 1997 AJHSME Problems/Problem 23 (→See also)
- 23:10, 31 July 2011 (diff | hist) . . (+108) . . 1997 AJHSME Problems/Problem 23 (→Solution)
- 17:01, 31 July 2011 (diff | hist) . . (+1,852) . . N 1997 AJHSME Problems/Problem 23 (Created page with "==Problem== There are positive integers that have these properties: * the sum of the squares of their digits is 50, and * each digit is larger than the one to its left. The pr...")
- 16:40, 31 July 2011 (diff | hist) . . (+1,242) . . N 1997 AJHSME Problems/Problem 22 (Created page with "==Problem== A two-inch cube <math>(2\times 2\times 2)</math> of silver weighs 3 pounds and is worth <dollar/>200. How much is a three-inch cube of silver worth? <math>\text{(A...")
- 16:32, 31 July 2011 (diff | hist) . . (+1,659) . . N 1997 AJHSME Problems/Problem 21 (Created page with "==Problem== Each corner cube is removed from this <math>3\text{ cm}\times 3\text{ cm}\times 3\text{ cm}</math> cube. The surface area of the remaining figure is <asy> draw((2....")
- 16:25, 31 July 2011 (diff | hist) . . (+2,059) . . N 1997 AJHSME Problems/Problem 20 (Created page with "==Problem== A pair of 8-sided dice have sides numbered 1 through 8. Each side has the same probability (chance) of landing face up. The probability that the product of the two...")
- 16:17, 31 July 2011 (diff | hist) . . (+680) . . 1997 AJHSME Problems/Problem 19
- 16:13, 31 July 2011 (diff | hist) . . (+1,138) . . N 1997 AJHSME Problems/Problem 19 (Created page with "==Problem== If the product <math>\dfrac{3}{2}\cdot \dfrac{4}{3}\cdot \dfrac{5}{4}\cdot \dfrac{6}{5}\cdot \ldots\cdot \dfrac{a}{b} = 9</math>, what is the sum of <math>a</math> a...")
- 16:08, 31 July 2011 (diff | hist) . . (+895) . . N 1997 AJHSME Problems/Problem 18 (Created page with "==Problem== At the grocery store last week, small boxes of facial tissue were priced at 4 boxes for <dollar/>5. This week they are on sale at 5 boxes for <dollar/>4. The perce...")
- 16:00, 31 July 2011 (diff | hist) . . (+26) . . 1997 AJHSME Problems/Problem 17 (→Solution 3)
- 15:59, 31 July 2011 (diff | hist) . . (+2,783) . . N 1997 AJHSME Problems/Problem 17 (Created page with "==Problem== A cube has eight vertices (corners) and twelve edges. A segment, such as <math>x</math>, which joins two vertices not joined by an edge is called a diagonal. Segme...")
- 15:47, 31 July 2011 (diff | hist) . . (+1,825) . . N 1997 AJHSME Problems/Problem 16 (Created page with "==Problem== Penni Precisely buys <dollar/>100 worth of stock in each of three companies: Alabama Almonds, Boston Beans, and California Cauliflower. After one year, AA was up 20...")
- 15:39, 31 July 2011 (diff | hist) . . (+31) . . 1997 AJHSME Problems/Problem 15 (→Solution 2)
- 15:37, 31 July 2011 (diff | hist) . . (+2,190) . . N 1997 AJHSME Problems/Problem 15 (Created page with "==Problem== Each side of the large square in the figure is trisected (divided into three equal parts). The corners of an inscribed square are at these trisection points, as sho...")
- 15:28, 31 July 2011 (diff | hist) . . (+1,465) . . N 1997 AJHSME Problems/Problem 14 (Created page with "==Problem== There is a set of five positive integers whose average (mean) is 5, whose median is 5, and whose only mode is 8. What is the difference between the largest and smal...")
- 15:18, 31 July 2011 (diff | hist) . . (+1,579) . . N 1997 AJHSME Problems/Problem 13 (Created page with "==Problem== Three bags of jelly beans contain 26, 28, and 30 beans. The ratios of yellow beans to all beans in each of these bags are <math>50\%</math>, <math>25\%</math>, and ...")
- 15:07, 31 July 2011 (diff | hist) . . (0) . . 1997 AJHSME Problems/Problem 12 (→See also)
- 15:06, 31 July 2011 (diff | hist) . . (+1,451) . . N 1997 AJHSME Problems/Problem 12 (Created page with "==Problem== <math>\angle 1 + \angle 2 = 180^\circ </math> <math>\angle 3 = \angle 4</math> Find <math>\angle 4.</math> <asy> pair H,I,J,K,L; H = (0,0); I = 10*dir(70); J = I ...")
- 14:59, 31 July 2011 (diff | hist) . . (+51) . . 1997 AJHSME Problems/Problem 11 (→Solution)
- 14:58, 31 July 2011 (diff | hist) . . (+947) . . N 1997 AJHSME Problems/Problem 11 (Created page with "==Problem== Let <math>\boxed{N}</math> mean the number of whole number divisors of <math>N</math>. For example, <math>\boxed{3}=2</math> because 3 has two divisors, 1 and 3. F...")
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