Exam 1: Foundations for Learning Mathematics

A long-distance phone company advertises a plan that offers 10 cents per minute rate. However, in the fine print you learn that the company charges a $ 1.50 surcharge on every call. Determine how many cents per minute you pay for a 20 minute phone call (including the surcharge). ​

Write the numbers that would be in the next row of the triangle. ​ ​

On a digital clock, how many times in 9 days will the numbers be consecutive digits, as they are, for example, in 1:23? ​

The mint currently makes million pennies a day. How many pennies does the mint make per second? ​

Use the following Venn diagram to answer the question. ​ ​ Represent the set {1,2,3,4,5,6,12,15} with symbols. ​

A family is planning a three-week vacation for which they will drive about 8,000 miles. They have a van that gets 17 miles per gallon, and they have a sedan that gets 32 miles per gallon. If gasoline costs $ 3.10 per gallon, how much more will they pay for gasoline if they take the van? ​

A Martian farmer looks out into the barnyard and sees tribbles (which have one head and four legs) and chalkas (which have one head and seven legs). She says to her son, "I count 135 heads and 738 feet. How many tribbles and how many chalkas are out there?" ​

An advertising firm found that a certain ad that ran on both radio and TV was only heard on the radio by 23 percent of the people and was only seen on TV by 32 percent of the people. Just 14 percent of the population both heard the ad on the radio and saw it on TV. What percent of the people in the area only heard the ad on radio or only saw the ad on TV?

A farmer harvested 32,000 pounds of avocados from one grove and 16,000 pounds of avocados from another grove. The avocados were all packed in shipping boxes in the same warehouse with 16 pounds in each box. How many boxes were needed to pack the avocados? ​

Aunt Karen wants to hang up six pictures that are all 12 inches wide on her 128 -inch wide wall. She wants to hang them in a straight line, evenly spaced between each picture and the walls. How much spacing does she need? ​

People were asked three questions: Do you support the president's economic policy? Do you support the president's foreign policy? Do you support the president's social policy? Let E, F, and S denote the sets of persons responding yes to the first, second, and third questions, respectively. The results of the survey are shown in the Venn diagram below. The numbers represent the percent of respondents. What percent of people agree with the president's social policy?

Palindromes are numbers whose value is the same backwards as forwards. For example, 1331 is a palindrome. How many palindromes can you find between 1000 and 9999 ? ​

A frog is climbing out of a well that is 28 feet deep. The frog can climb 8 feet per hour, but then it rests for an hour, during which time it slips back 4 feet. How long will it take for the frog to get out of the well? ​

Place the appropriate symbol in the blank. ​ ​

What numbers would be in the next row of the triangle? ​ ​

Let U be the set of all colors and S be the subset {red, orange, yellow, green, blue, violet}. Place the appropriate symbol in the blank: ​ green _____ U ​

Rob Hill owns a compact car that averages 48 miles on 1 gallon of gas. How many miles could the car travel on 10 gallons of gas? ​

Write the numbers that would be in the next row of the triangle. ​ ​

The mint currently makes million pennies a day. How many pennies does the mint make per year? ​

How many subsets does the set A = { a,b,c,d,e,f,g,h } have? ​