# Tag Archives: percent

## Clean Your Room

Each day Chris is chided for not cleaning up his room, so he picks up approximately percent of the items on the floor in the morning. (He always rounds off to the nearest whole number if his calculations result in … Continue reading

## 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

## 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

## Ice-Cream Cone

An ice-cream cone’s height is three times its diameter. Two spherical scoops of ice cream with the same diameter as the cone are packed into the cone, filling it completely. Some ice cream bulges above the cone’s top. What percent … Continue reading

## Do You Like Mathematics

An equal number of juniors and seniors responded to the question “Do you like math?” Each respondent said yes or no. If percent of those who said yes were seniors and percent of those who said no were juniors, what … Continue reading

## Profit or Loss

A used car salesman sold two cars and received for each car. One of these transactions yielded a percent profit for the dealer (compared to his purchase price), whereas the other amounted to a percent loss. What is the dealer’s … Continue reading

## Inscribed Rectangle

In the diagram below, the inscribed rectangle has side length . The length of that side is percent of the side length of the circumscribed square. What is the area of the unshaded region? Source: NCTM Mathematics Teacher 2008 SOLUTION … Continue reading

## Tree Height

A certain kind of tree increases in height by percent each year. It was feet tall when it was planted in January 2000. Approximately how tall will the tree be in December 2008? Source: NCTM Math Teacher 2008 SOLUTION Height … Continue reading

## Newton’s Class

More than percent of the students in Mr. Newton’s math class are girls. If Mr. Newton’s class has at least one boy, what is the least possible size of his class? Source: mathcontest.olemiss.edu 2/24/2014 SOLUTION Ratio Percent The least possible size … Continue reading

## New Movie

A new movie opened with gross box-office sales of million. The producers were disappointed because this figure was percent less than expected. How much did the producers think they would make during the first weekend? Source: NCTM Math Teacher 2008 … Continue reading