Monthly Archives: March 2016

Square in Circle

A square of maximum area is inscribed in a semicircle as shown. What percent of the area of the circle is outside the square? Source: NCTM Mathematics Teacher, January 2006 SOLUTION area of circle = area of square = area … Continue reading

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Points on Circle

Find all points that have an -coordinate twice the -coordinate and that lie on a circle of radius with center at . Source: NCTM Mathematics Teacher, January 2006 SOLUTION Let for some real number . Equation of circle or or … Continue reading

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Garage Sale

Before going to a garage sale, Elise counted the money she was taking along. After an hour, she counted it again and found that she had spent exactly half of it. The number of cents she now had equaled the … Continue reading

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Value of Exponent

What is the value of if ? Source: NCTM Mathematics Teacher, January 2006 SOLUTION Answer:

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Value of Expression

Given that , determine the value of . Source: NCTM Mathematics Teacher, January 2006 SOLUTION implies that . Answer: Alternative Solution

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Largest Divisor

Select any prime number greater than . Square it and subtract . What is the largest number that must be a divisor of the result? Source: NCTM Mathematics Teacher, January 2006 SOLUTION Suppose is a prime number greater than . … Continue reading

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