Module 10 Practice Problems – Introduction to Python

Problem 1 Easy

Import the math module and use it to find the square root of 144. Print the result.

Use import math and then math.sqrt().

import math
result = math.sqrt(144)
print(result)  # 12.0

Problem 2 Easy

Use math.ceil() and math.floor() to round 7.3 up and down. Print both results.

ceil() rounds up, floor() rounds down.

import math
print(math.ceil(7.3))   # 8
print(math.floor(7.3))  # 7

Problem 3 Easy

Use math.pi to calculate the circumference of a circle with radius 10. Formula: circumference = 2 * pi * radius.

Access pi with math.pi (no parentheses - it is a constant, not a function).

import math
radius = 10
circumference = 2 * math.pi * radius
print(f"Circumference: {circumference:.2f}")  # 62.83

Problem 4 Easy

Use random.randint() to simulate rolling two dice. Print each die and the total.

Use random.randint(1, 6) for each die.

import random
die1 = random.randint(1, 6)
die2 = random.randint(1, 6)
print(f"Die 1: {die1}")
print(f"Die 2: {die2}")
print(f"Total: {die1 + die2}")

Problem 5 Easy

Use random.choice() to pick a random day of the week from a list.

Create a list of day names first, then use random.choice().

import random
days = ["Monday", "Tuesday", "Wednesday", "Thursday",
        "Friday", "Saturday", "Sunday"]
print(f"Random day: {random.choice(days)}")

Problem 6 Medium

Use from...import to import only sqrt and pi from math. Calculate the area of a circle with radius 7.

Use from math import sqrt, pi then use them without the math. prefix.

from math import sqrt, pi
radius = 7
area = pi * radius ** 2
print(f"Area: {area:.2f}")  # 153.94

Problem 7 Medium

Get today's date using datetime and print it in the format "Month Day, Year" (e.g., "June 15, 2025").

Use strftime("%B %d, %Y") to format the date.

from datetime import datetime
today = datetime.now()
print(today.strftime("%B %d, %Y"))

Problem 8 Medium

Import the math module with the alias m. Use it to calculate the hypotenuse of a right triangle with sides 5 and 12.

Use import math as m and then m.sqrt(5**2 + 12**2).

import math as m
hyp = m.sqrt(5**2 + 12**2)
print(f"Hypotenuse: {hyp}")  # 13.0

Problem 9 Medium

Create a password generator that picks 4 random words from a list to create a passphrase. Use random.sample().

random.sample(list, k) returns k unique random items from the list.

import random
words = ["apple", "sunset", "river", "cloud",
         "tiger", "mountain", "ocean", "forest"]
passphrase = random.sample(words, 4)
print("-".join(passphrase))

Problem 10 Medium

Use random.shuffle() to shuffle a list of numbers 1-10, then print the shuffled list.

shuffle() modifies the list in place and returns None.

import random
numbers = list(range(1, 11))
print("Before:", numbers)
random.shuffle(numbers)
print("After:", numbers)

Problem 11 Medium

Print the current time in 12-hour format with AM/PM (e.g., "02:30 PM").

Use strftime("%I:%M %p") where %I is 12-hour and %p is AM/PM.

from datetime import datetime
now = datetime.now()
print(now.strftime("%I:%M %p"))

Problem 12 Hard

Write a coin flip simulator that flips a coin 100 times and counts heads and tails. Print the results and the percentage of each.

Use random.choice(["Heads", "Tails"]) in a loop and count the results.

import random

heads = 0
tails = 0

for _ in range(100):
    flip = random.choice(["Heads", "Tails"])
    if flip == "Heads":
        heads += 1
    else:
        tails += 1

print(f"Heads: {heads} ({heads}%)")
print(f"Tails: {tails} ({tails}%)")

Problem 13 Hard

Write a function that takes a list of numbers and returns a dictionary with the floor, ceil, and square root of each number. Use the math module.

Create a dictionary for each number with keys "floor", "ceil", "sqrt" and use a loop or comprehension.

import math

def analyze_numbers(numbers):
    results = {}
    for n in numbers:
        results[n] = {
            "floor": math.floor(n),
            "ceil": math.ceil(n),
            "sqrt": round(math.sqrt(n), 2)
        }
    return results

nums = [7.3, 15.8, 25.0]
for num, info in analyze_numbers(nums).items():
    print(f"{num}: {info}")

Problem 14 Hard

Create a simple quiz game. Store 5 questions and answers in a dictionary. Use random.sample() to pick 3 random questions, ask the user (use input()), and keep score.

Use random.sample(list(quiz.items()), 3) to get 3 random question-answer pairs.

import random

quiz = {
    "What is the capital of France?": "paris",
    "What color is the sky?": "blue",
    "How many days in a week?": "7",
    "What planet are we on?": "earth",
    "What is 5 + 3?": "8"
}

questions = random.sample(list(quiz.items()), 3)
score = 0

for question, answer in questions:
    user_answer = input(question + " ")
    if user_answer.lower().strip() == answer:
        print("Correct!")
        score += 1
    else:
        print(f"Wrong! The answer is {answer}")

print(f"\nScore: {score}/3")

Problem 15 Hard

Write a module-style file with three functions: greet(name), farewell(name), and current_time(). Include an if __name__ == "__main__" block that tests all three functions.

Write the functions first, then add the if __name__ == "__main__": guard with test calls.

# greetings.py
from datetime import datetime

def greet(name):
    return f"Hello, {name}! Nice to meet you."

def farewell(name):
    return f"Goodbye, {name}! See you next time."

def current_time():
    now = datetime.now()
    return now.strftime("%I:%M %p")

if __name__ == "__main__":
    print(greet("Alice"))
    print(farewell("Alice"))
    print(f"Current time: {current_time()}")

Module 10: Practice Problems