Math-related operations in Python - Practice Problems & Coding Challenges

Challenge - 5 Problems

❓ Predict Output

intermediate

Output of complex math expression

What is the output of this Python code snippet?

Python

result = (3 + 5) * 2 ** 3 // 4 - 7 % 3
print(result)

A 13

B 15

C 14

D 16

💡 Hint

Remember the order of operations: parentheses, exponents, multiplication/division, addition/subtraction, and modulus.

First, (3 + 5) = 8. Then 2 ** 3 = 8. Multiply 8 * 8 = 64. Integer divide 64 // 4 = 16. Then 7 % 3 = 1. Finally, 16 - 1 = 15. The output is 15, option B.

❓ Predict Output

intermediate

Result of math functions usage

What is the output of this code?

Python

import math
value = math.ceil(math.sqrt(50)) + math.floor(math.log2(16))
print(value)

A 12

B 10

C 11

D 9

💡 Hint

Recall that sqrt(50) is about 7.07, ceil rounds up, log2(16) is exact.

math.sqrt(50) ≈ 7.07, ceil(7.07) = 8. log2(16) = 4, floor(4) = 4. Sum is 8 + 4 = 12. So correct output is 12, option A.

❓ Predict Output

advanced

Output of math with negative and float values

What is the output of this code snippet?

Python

import math
x = -3.7
result = math.ceil(x) + math.floor(x)
print(result)

A -5

B -6

C -8

D -7

💡 Hint

Remember how ceil and floor behave with negative floats.

math.ceil(-3.7) is -3 (smallest integer >= -3.7), math.floor(-3.7) is -4 (largest integer <= -3.7). Sum is -3 + (-4) = -7.

🧠 Conceptual

advanced

Understanding integer division and modulus

Given the code below, what is the value of 'result' after execution?

Python

a = 17
b = 5
result = (a // b) * b + (a % b)
print(result)

A 15

B 16

C 17

D 18

💡 Hint

Think about how integer division and modulus relate to the original number.

Integer division a//b gives how many times b fits into a. Multiplying back and adding remainder (a % b) reconstructs the original number a. So result is 17.

🔧 Debug

expert

Identify the error in math expression

What error does this code raise when executed?

Python

import math
value = math.sqrt(-1)
print(value)

A ValueError

B TypeError

C ZeroDivisionError

D No error, prints a complex number

💡 Hint

Square root of a negative number is not defined in real numbers.

math.sqrt() only works with non-negative real numbers. Passing -1 raises ValueError: math domain error.