Problem Solving

The sides of a square region, measured to the nearest centimeter, are 6 centimeters long. The least possible value of the actual area of the square region is

During a certain time period, Car X traveled north along a straight road at a constant rate of 1 mile per minute and used fuel at a constant rate of 5 gallons every 2 hours. During this time period, if Car X used exactly 3.75 gallons of fuel, how many miles did Car X travel?

In the figure, the 6 small squares are identical, each with sides of length 1. What is the outer perimeter (shown in bold) of the entire figure?

The figure shown above consists of a shaded 9-sided polygon and 9 unshaded isosceles triangles.For each isosceles triangle,the longest side is a side of the shaded polygon and the two sides of equal length are extensions of the two adjacent sides of the shaded polygon.What is the value of a ?

M is the sum of the reciprocals of the consecutive integers from 201 to 300, inclusive. Which of the following is true?

For any positive integer n, the sum of the first n positive integers equals n(n+1)/2. What is the sum of all the even integers between 99 and 301?

In the first week of the Year, Nancy saved $1.Ineachofthenext51weeks,shesaved$1 more than she had saved in the previous week. What was the total amount that Nancy saved during the 52 weeks?

If m is the average (arithmetic mean) of the first 10 positive multiples of 5 and if M is the median of the first 10 positive multiples of 5, what is the value of M – m ?

If the range of the six numbers 4, 3, 14, 7, 10 and x is 12, what is the difference between the greatest possible value of x and least possible value of x?

In a small snack shop, the average (arithmetic mean) revenue was $400perdayovera10-dayperiod.Duringthisperiod,iftheaveragedailyrevenuewas$360 for the first 6 days, what was the average daily revenue for the last 4 days?

Sixty percent of the members of a study group are women, and 45 percent of those women are lawyers. If one member of the study group is to be selected at random, what is the probability that the member selected is a woman lawyer?

The total cost for Company X to produce a batch of tools is $10,000plus$3 per tool. Each tool sells for $8. The gross profit earned from producing and selling these tools is the total income from sales minus the total production cost. If a batch of 20,000 tools is produced and sold, then Company X’s gross profit per tool is

During a trip, Francine traveled x percent of the total distance at an average speed of 40 miles per hour and the rest of the distance at an average speed of 60 miles per hour. In terms of x, what was Francine's average speed for the entire trip?

If n = 3 8 - 2 8 , which of the following is NOT a factor of n?

If 5 − 6 x = x , then x has how many possible values?

What is the smallest integer n for which 25^n > 5^12 ?

If s > 0 and r s √ = s , what is r in terms of s ?

Company P had 15 percent more employees in December than it had in January. If Company P had 460 employees in December, how many employees did it have in January?

Last year Joe grew 1 inch and Sally grew 200 percent more than Joe grew. How many inches did Sally grow last year?

If Jake loses 8 pounds, he will weigh twice as much as his sister. Together they now weigh 278 pounds. What is Jake's present weight, in pounds?