ICS3U Python Programming Evaluation 8
UNDER CONSTRUCTION
Questions in this assignment are not finalized yet. DO NOT COMPLETE
ICS3U Python Programming Evaluation Question X
File Name: “ICS3Uintersection.py”
You are designing a program that can find the point of intersection of 2 straight diagonal lines (You don’t need to consider vertical or horizontal lines).
- The answer, an (x,y) ordered pair, should be displayed as both decimal and fractional values.
- You are NOT allowed to use the built in Fraction function that exists in python.
- The fractions do NOT have to be in lowest terms.
- The first equation will be entered by inputting values (A,B,C) using the standard form of a linear equation Ax + By + C = 0
- The second equation will be entered by inputting values(m,b) using the slope-intercept form of a linear equation y = mx + b
You will need to get the inputs for TWO linear equations in order to solve the problem
ICS3U Python Programming Evaluation Question X
File Name: “ICS3UEmiliaNumbers.py”
A positive Integer will be an “Emilia Number” if it has at least two sets of factors where the sum of one set equals the difference of another set.
For Example:
- 6 is an Emilia Number. It has a sets of factors (6,1) and (2,3) where 2 + 3 = 6 – 1
- 30 is an Emilia Number. It has sets of factors (10,3) and (15,2) where 10 + 3 = 15 – 2
- 84 is an Emilia Number. It has sets of factors (21,4) and (28,3) where 21 + 4 = 28 – 3
Write a function that finds Emilia Numbers, and then use it to count how many Emilia numbers would you find for the numbers from 1 to 1000
ICS3U Python Programming Evaluation Question X
File Name: “ICS3UrepeatCipher.py”
You are sending a message to your friend. Instead of sending the actual message, you send a set of consecutive characters that represent the real letter. The number of consecutive characters determines the real letter.
- A single consecutive character represents the letter “A”
- Two consecutive characters represents the letter “B”
- Three consecutive characters represents the letter “C”
- etc
If you sent the message:
- ********bbbbb&&&&&&&&&&&&999999999999zzzzzzzzzzzzzzz
It would decode to HELLO because there are
- 8 “*” characters in a row -> H
- 5 “b” characters in a row -> E
- 12 “&” characters in a row ->L
- 12 “9” characters in a row ->L
- 15 “z” characters in a row ->O
You need to write a program that DECODES messages