A square is cut into two equal rectangles, each with perimeter 36. Find the area of the square. A) 36 B) 64 C) 100 D) 144 E) 196 ANSWER From 2010 oct/nov AMATYC Student Mathematics League Exam
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Angles are complements if they add to 90 degrees. Let Angle A be nine times Angle B and the complement of Angle B be nine times the complement of angle A. Find Angle B. A) 6 degrees B) 8 degrees C) 9 degrees D) 10 degrees E) 12 degrees ANSWER From 2010 Oct/Nov AMATYC Student Mathematics League Test
Here is an interesting problem I ran across on the internet. Check if the following two triangles are in fact possible.
Kaytlyn the pi-rate was famed for her collection of gold and silver jewelry. Which would hold more of her loot—a right cylindrical barrel with diameter d and height 2d or a chest in the shape of a rectangular prism with height d and width and length of 2d? ANSWER From the March Issue of the Mathematics Teacher
Coffey, M. (Ed.). (2011). March "Calendar" Problems. MATHEMATICS TEACHER , 104 (7), 520-521. Use the Diagram below to answer the following problem: House A is located 300 feet back from a road, and house B is located along the road, 500 feet from house A. The Department of Public Works wants to install a fire hydrant that is the same distance, d, from each house. Approximately how many feet should the hydrant be from each house? From a review guide for the Secondary Education Mathematics Content Test Illinois Certification Testing System: Study Guide Mathematics (115). (2006). Chicago: Pearson Education, Inc. Points A, B, C, and D are on a line such that B is between A and C, and C is between B and D. The distance from A to B is 6 units. The distance from B to C is twice the distance from A to B, and the distance from C to D is twice the distance from B to C. What is the distance, in units, from the midpoint of BC to the midpoint of CD ? F.18 G.14 H.12 J. 9 K. 6 Answer From the ACT TEST PREP website
Sample Mathematics Test Questions Set C. (2011). Retrieved February 15, 2011, from The ACT: http://www.actstudent.org/sampletest/math/math_03.html Today's Math Problem will be simple math riddles. These riddles deal more with logic than mathematical computation
CHALLENGE QUESTION Two Riddles in one!To solve this riddle you don't want to manually do all of the math but rather try to figure out a pattern. A. What digit is the most frequent between the numbers 1 and 1,000? B. What digit is the least frequent between the numbers 1 and 1,000? Answers Riddles #1-4 come from from OnlineMathLearning.com
Math Riddles. (2008). Retrieved February 7, 2011, from Online Math Learning: http://www.onlinemathlearning.com/math-riddles.html The Challenge Question come from the Math Warehouse Math Riddles. (n.d.). Retrieved Feburary 7, 2011, from Math Warehouse: http://www.mathwarehouse.com/riddles/math-riddles.php In the movie, Legally Blonde, Elle uses reasoning to prove to her fellow lawyers that their client did not kill her husband. Elle states, "Exercising gives you endorphins, endorphins make you happy, happy people just don't kill their husbands, they just don't." Elle demonstrates the law of syllogism, which allows her to state a conclusion from two true conditional statements when the conclusion of one statement is the hypothesis of the other. Assuming that Elle's logic is sound, which of the following statements is NOT true? a) People who exercise don't kill their husbands. b) People who exercise are happy. c) People who do not kill their husbands are happy. d) People who kill their husbands are unhappy. answer Mr. Green is putting lights around 8 windows; each window is 3 and 1/2 feet wide and 5 feet long. How many feet of lights does he need?
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