# Monthly Archives: September 2016

## Perfect Squares and Perfect Cubes

List all integers less than that are both perfect squares and perfect cubes. Source: NCTM Mathematics Teacher, January 2006 Solution is a perfect square but not a perfect cube. On the other hand, is a perfect cube but not a … Continue reading

## Ten Different Digits

What is the probability that a number chosen at random from the range to inclusive will contain ten different digits? Round your answer to the nearest millionth. Source: NCTM Mathematics Teacher, January 2006 Solution We divide the large range into … Continue reading

## Corners of a Cube

All corners were sliced off a cube whose volume was cubic centimeters. Triangular faces are located where the cube’s vertices were. Each triangle is equilateral with -centimeter sides. Determine the total numbers of edges on the new solid. Source: NCTM … Continue reading

## Mean of Numbers

The mean of a set of numbers is . If one number is increased by , the mean increases to . How many numbers are in the set? Source: NCTM Mathematics Teacher, January 2006 Solution The formula for the mean … Continue reading