Monthly Archives: February 2017

Waiting in Line

In a movie theater line, people are behind Mark, who is places in front of Sam. If there are people in front of Sam, how many people are in line? Source: NCTM Mathematics Teacher, October 2006 Solution The figure illustrates … Continue reading

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New Operation

If @, then find @@. Source: NCTM Mathematics Teacher, October 2006 Solution @@@ Answer:

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TV Game Show

On a television show, a player receives points for answering an easy question and points for a hard one. What is the largest integer that cannot be a contestant’s total score of the game? Source: NCTM Mathematics Teacher, October 2006 … Continue reading

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50 Percent Larger

If is percent larger than and is percent larger than , then is what percent larger than ? Source: NCTM Mathematics Teacher, October 2006 Solution For ease in argument we arbitrarily draw with  squares. Then, must have squares since it … Continue reading

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A Crow Flies

A crow flies (always in straight line) from its nest miles north and miles east of the nest. At that point, it sees a scarecrow, and so it turns and flies to a point miles farther north and miles east. … Continue reading

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Multiple of 3

If is an  integer, show why must be a multiple of . Source: NCTM Mathematics Teacher, October 2006 Solution which is a rational number. Clearly, for to be an integer must be a multiple of . Answer: Shown in solution

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