1. Write a program to get sum of any two numbers.

BEGIN
1.  Prompt user entering two numbers.
2.  Take users numbers into memory boxes.
3.  Add these two numbers and store the sum into another box.
4.  Print the result.
END

2. Develop a set of algorithms to read in two whole numbers and find the quotient of the first number dividing by the second numbers.

BEGIN
      Reserve memry boxes.  (Input: two numbers, output: quotient)
      Write a user prompt to enter two whole numbers.
      Store user's numbers into two memory boxes. 
      Check whether the second number is zero.
           If yes, output an error message and stop program.
           If no, divide two numbers each other and store result in a memory box.
     Print result.
END

3. Develop a set of algorithms to read in an employee's total weekly hours worked and rate of pay.  Determine the gross weekly pay using "time-and -a-half" for anything over 40 hours. 

BEGIN

Write a program description message to the user.
Write a user prompt to enter rate of pay (Rate).
Take user input into "Rate" box.
Write a user prompt to enter weekly hours worked (Hours).
Take user input into "Hours" box.
if  Hours  <=  40  then
       Calculate Gross  = Hours × Rate.
else
      Calculate Gross = (40 × Rate) + [1.5 × (Hours – 40) × Rate].
Print the information of hours worked, rate of pay, and gross pay (Hours, Rate, Gross).

END.

4. Develop a set of algorithms that will allow the entry of three integer coefficients of a quadratic equation and generate the solutions of the equation. Provide for an error message if complex roots exist.

Initial Algorithm

main()
BEGIN
Obtain the equation coefficients from the user and check for A=0.
Calculate the roots of the equation and check for complex roots.
Display the solutions of the equation.
END.

First Level of Refinement

GetData()

BEGIN
Write a program description message to the user.
Write a prompt to enter the coefficient of the squared term.
Read(A).
if A is 0 then
   Write an error message, since division by zero is impossible.
else
   Write a prompt to enter the coefficient of the first order term.
    Read(B).
   Write a promp to enter the constant term.
   Read ( C).
END.

Solutions()

BEGIN
Calculate D = B² – 4AB.
if D < 0 then
       Write a message that the equation has complex roots.
else
      Solution1 = [–B + (B² – 4AC)^0.5] / (2A)
      Solution2 = [–B – (B² – 4AC)^0.5] / (2A) .
END.

DisplayResults()

BEGIN
Write (Solution1 and Solution2).
END.