Problems 3-33 every 3rd problem
Use Polya's four-step problem-solving strategy and the problem-solving procedures presented in this section to solve each of the following exercises.
3.) Number of Squares: How many squares are in the following figure?
9.)True-False Test: In how many ways can you answer a 12-question true or false test if you answer each question with either a "true" or "false"?
12.) Number of Line Segments: Twenty-four points are placed around a circle. A line segment is drawn between each pair of points. How many line segments are drawn?
15.) Change for a Quarter: How many ways can you make change for $0.25 using dimes, nickels, and/or pennies?
Determine the units digit (ones digit) of the counting number represented by the exponential expression.
18.) 2^725
21.) Find Sums: Find the following sums without using a calculator. Hint: Apply the procedures used by Gauss.
a.) 1+2+3+4+...+397+398+399+400
b.) 1+2+3+4+...+547+548+549+550
c.) 2+4+6+8+...+80+82+84+86
24.) Speed of a car: A car has an odometer reading of 15,951 miles, which is a palindromic number. After 2 hours of continuous driving at a constant speed, the odometer reading is next palindromic number. How fast, in miles per hour, was the car being driven during these 2 hours?
27.) Movie Theatre Admissions: The following bar graph shows the number of U.S. Canada movie theatre admissions for the years from 2002 to 2009.
a.) Estimate the number of admissions for the year 2009. Round to the nearest tenth of a billion.
b.) Which year had the least number of admissions?
c.) Which year had the greatest number of admissions?
30.) Votes in an Election: In a school election, one candidate for class president received more than94%, but less than 100% of the votes cast. What is the least possible number of votes cast?
33.) Brothers and Sisters: I have two more sisters than brothers. Each of my sisters has two more than brothers. How many more sisters than brothers does my youngest brother have?
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