Due to a technical issue yesterday, here is a double Math Problem of the Day!!
1) Penelope bought 17 large packs and 5 small packs of identical pens. When she got home, her little sister opened all the packages onto the floor. If a total of 234 pens were strewn across the floor, how many pens did a large pack contain? 2) A mile-long train is moving at 60 mph when it reaches a mile-long tunnel. How long does it take for the entire train to pass through the tunnel, assuming that it maintains its current speed? ANSWER
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Chelsea had made six of seventeen free-throws attempts. How many consecutive free throws must she make to raise her percentage of free throws made to exactly 50 percent? Answer Problems from Mathematics Teacher. (2011). Retrieved Februrary 17, 2011, from National Council of Teachers of Mathematics Website: http://www.nctm.org/publications/calendar/index.aspx?journal_id=2
A typical high school student consumes 67.5 pounds of sugar per year. As part of a new nutrition plan, each member of a track team plans to lower the sugar he or she consumes by at least 20% for the coming year. Assuming each track member had consumed sugar at the level of a typical high school student and will adhere to this plan for the coming year, what is the maximum number of pounds of sugar to be consumed by each track team member in the coming year? A.14 B.44 C.48 D.54 E.66 ANSWER From the ACT TEST PREP website
Sample Mathematics Test Questions Set 1. (2011). Retrieved February 22, 2011, from The ACT: http://www.actstudent.org/sampletest/math/math_03.html A census taker came to the house with no one home. He asked a neighbor the ages of the three inhabitants and was told, "The product of their ages is 252 and the sum of their ages is their house number." Later the census taker returned, saying, "I need more information." The reply was, "The twins are named Derek and Doreen." The Census taker wrote down the ages and left. What were the ages? ANSWER Problems from Mathematics Teacher. (2011). Retrieved Februrary 17, 2011, from National Council of Teachers of Mathematics Website: http://www.nctm.org/publications/calendar/index.aspx?journal_id=2
ANSWER These problems are from NCTM website
Problems from Mathematics Teacher. (2011). Retrieved Februrary 17, 2011, from National Council of Teachers of Mathematics Website: http://www.nctm.org/publications/calendar/index.aspx?journal_id=2 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 Val picked a chrysanthemum with a Fibonacci number [click for definition] of petals. He plucked one petal: "She loves me." He plucked a second petal: "She loves me not." He plucked a third petal: "She loves me." He continued in this way until he reached the last petal. What is the probability that the last petal was a "she-loves-me" petal?
Answer Jim has $9.60 in his pocket. He has an equal number of quarters, dimes, and nickels but no other coins or bills. How many coins does Jim have? Answer From Februray 2011 Edition of the MATHEMATICS TEACHER
Coffey, M. (Ed.). (2011). Feburary "Calendar" Problems. MATHEMATICS TEACHER , 104 (6), 440-441. Tribbles are cute, furry creatures that exist in the world of Star Trek. Tribbles can produce a litter of 10 babies every 12 hours. One tribble was trapped in the grain hold of Space Station K-7 for 3 days. How many tribbles were in the grain hold at the end of the third day (assuming none of them died)?
Bonus Question: Use a graphing calculator (or Microsoft Excel), to prepare a scatter plot for the data ( # of tribbles vs. # hours) Find the exponential regression equation for this data. answer Three brothers divide 17 candy bars. The oldest child gets 1/2, the middle child 1/3, and the youngest child 1/9. So that they do not have to cut any bars, Mom provides an extra one. The oldest child then takes 9 candy bars, the middle child 6, and the youngest 2, and they return the extra one. Which child received more than his fair share? answer Coffey, M. (Ed.). (2011). January "Calendar" Problems. MATHEMATICS TEACHER , 104 (5), 368-369.
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