Advanced MathEasy–MediumFolds of paper from a layer count
Advanced Math practice question
A sheet of paper has 2ⁿ layers after it has been folded in half n times. How many times must the sheet be folded to have 64 layers?
Answer: 6
2ⁿ = 64 = 2⁶, so n = 6.
Common wrong answers
- If you answered 5
- 5 folds give 32 layers.
- If you answered 8
- 8 is 64 ÷ 8, not a power of 2 that gives 64.
- If you answered 32
- 32 halves 64 instead of taking the logarithm base 2.
More Advanced Math questions
- Easy–Medium
If f(x) = 2x² − 3, what is f(4)? - Easy–Medium
Which expression is equivalent to (2x³)(3x⁴)? - Easy–Medium
What are the solutions to x² − 16 = 0? - Easy–Medium
Which expression is equivalent to (x + 5)²? - Easy–Medium
For x ≠ 0, which expression is equivalent to (x² + 3x) / x? - Easy–Medium
What are the solutions to the equation 2(x − 3)² − 32 = 0 ?
Not affiliated with the College Board. SAT is a trademark of the College Board.