Monthly Archives: April 2016

Distance From Zero

Find the product of all real values of that satisfy the equation . Source: NCTM Mathematics Teacher, January 2006 SOLUTION One way to interpret the absolute values and is to think of them as the distances from point to point … Continue reading

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Number Growth

A three-digit number grows by if we exchange the second and third digits and grows by if we exchange the first and second digits. By how much will it grow if we exchange the first and third digits? Source: NCTM … Continue reading

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Prime Factors

Find the prime factors of . Source: NCTM Mathematics Teacher, January 2006 SOLUTION Recall that Both and are prime numbers. The prime factors of are and . Answer: and

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Points in a Plane

Find all points in a plane that are cm from a given segment cm long and are also cm from the midpoint of the segment. Source: NCTM Mathematics Teacher, January 2006 SOLUTION Segments and are parallel to the given segment … Continue reading

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Water Transfer

Two cylindrical water tanks stand side by side. One has a radius of meters and contains water to a depth of meters. The other has a radius of meters and is empty. Water is pumped from the first tank to … Continue reading

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Area of Triangle

Without using Heron’s formula, find the area of the triangle. Source: NCTM Mathematics Teacher, January 2006 SOLUTION Applying the Law of Cosines Area of triangle Answer: square units Alternative solution 1 Most textbooks state the Law of Sines as We have … Continue reading

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Sum of Series

Sum of Series Find the sum of the series Source: NCTM Mathematics Teacher, January 2006 SOLUTION Note that , and so on Answer:

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