Monthly Archives: July 2015

Largest Value

The equilateral triangle has side length , and is a point on the line segment . Denote by the area of triangle and by the area of triangle . What is the largest value of the product ? Source: NCTM … Continue reading

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Prime Number

What is the last digit of the 9-digit number , given that the number is prime? Source: NCTM Mathematics Teacher, November 2006 SOLUTION The last digit could be , orĀ . cannot be because . cannot be because . cannot be … Continue reading

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What Digit?

A digit is placed in each empty square in the grid so that each row and each column contains the digits . What digit is placed in the square at the bottom right corner? Source: NCTM Mathematics Teacher, November 2006 … Continue reading

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