Question 1

Problem 1

Average: Write a Python program that calculates and prints the average of the following numbers.

23, 57, 43, 92, 54, 34, 45, 99

Answer

Python Code

average = (23 + 57 + 43 + 92 + 54 + 34 + 45 + 99) / 8
print("The average of the set of numbers is", average, ".")

or

print("The average of the set of numbers is", ((23 + 57 + 43 + 92 + 54 + 34 + 45 + 99) / 8),".")

Output:

The average of the set of numbers is 55.875.

Solution Notes:

The average of a set of numbers is calculated by adding all the numbers together and then dividing by the number of numbers in the set. In this case, there are 8 numbers in the set so we add them all together and divide by 8.
Two possible solutions are shown. In the first we assign a variable to the calculation of the average and the print the variable, the second avoids the use of a variable and we simply use the print() function and place the formula inside the print() function itself.

Question 2

Problem 2

Perimeter of a Triangle: Write a Python program that calculates the perimeter of the triangle shown below. Use variables for each component of the formula and name them with understandable names based on their parts of the formula. The output should be in the form of an informative sentence.

Answer

Python Code

side_a = 19.8
side_b = 12.7
side_c = 23.4
perimeter = side_a + side_b + side_c
print("The perimeter of the triangle is", perimeter, "miles.")

Output

The perimeter of the triangle is 55.9 miles.

Solution Notes:

The formula for the perimeter of a triangle is Area = Side A + Side B + Side C.
Note the variable names match the formula.
The area variable receives the result of the calculation.
The print() function prints the resulting area value in the form of an informative sentence.

Question 3

Problem 3

Area of a Circle: Write a Python program that calculates and prints the area of the circle given below. Use variables for each component in the formula and name them with understandable names based on their parts of the formula. The output should be in the form of an informative sentence.

Answer

Python Code

pi = 3.14
radius = 53.25
area = pi * radius ** 2
print("The area of the circle is", area, ".")

Output

The area of the circle is 8903.66625.

Solution Notes:

The formula for area of a circle: Area = pi * radius ** 2
Note that the variables are named pi, radius and area, to match the formula.
The area variable receives the result of the calculation.
The formula is represented by the variables created.
The print() function prints the resulting area value in the form of an informative sentence.

Question 4

Problem 4

Area of a Circle #2: Write a Python program that prompts the user for the radius of a circle, then calculates and prints the area of the circle based on that radius. The user prompt should be descriptive for the user. The output should be in the form of an informative sentence.

Answer

Python Code

pi = 3.14
radius = input("Please enter the radius of a circle:")
area = pi * float(radius) ** 2
print("The area of your circle is", area, ".")

Output

The area of your circle is 1771.15625.

Solution Notes:

The formula for area of a circle: Area = pi * radius ** 2
Note that the variables are named pi, radius and area, to match the formula.
The user is prompted to enter a radius value.
The area variable receives the result of the calculation.
The formula is represented by the variables created.
The print() function prints the resulting area value in the form of an informative sentence.

Question 5

Problem 5

Paint Estimate: Write a Python program that calculates an estimate of the number of gallons of paint needed to paint the room shown in the image below. Your estimate should be enough paint to cover the interior walls with 1 coat of paint, excluding the space consumed by the door, windows, and fireplace opening. The output should be in the form of an informative sentence.

Answer

Python Code

# Average square feet per gallon as per
# paint manufacturer information
sqr_ft_per_gallon = 400
# Wall A - The wall with the door
wall_a = (12 * 40) - ((36 / 12) * (80 / 12))
# Wall B - The wall with the two windows
wall_b = (12 * 35) - (2 * ((34 / 12) * (48 / 12)))
# Wall C - The wall with the fireplace
wall_c = (12 * 40) - ((60 / 12) * (54 / 12))
# Wall D - The plain wall with no features
wall_d = (12 * 35)
num_gallons = (wall_a + wall_b + wall_c + wall_d) / sqr_ft_per_gallon
print("The number of gallons needed is", num_gallons, ".")

Output

The number of gallons needed is 4.337083333333333.

Solution Notes:

The process of estimating gallons of paint involves calculating the area of all of the surfaces (walls) that need painting and then subtracting any areas on those surfaces that will not be painted such as doors, windows, etc.
The standard coverage of a gallon of paint is 400 square feet per gallon.
We set a variable to store the square feet per gallon. We could hardcode the 400 in the formula, that would work, however it is better programming practice to store values in variables.
In this solution approach, we create variables for each wall and calculate the square footage for each of them.
On the three walls with features (door, windows, fireplace) we subtract the square footage of those features to deduct surface area that would not be painted.
Note the descriptive variable names.
Also note the use of comments.
The print() function prints the resulting area value in the form of an informative sentence.

Overview

Simple Math Problems

Problem 1

Python Code

Menu

Problem 2

Python Code

Output

Problem 3

Python Code

Output

Problem 4

Python Code

Output

Problem 5

Python Code

Output