Exponential Growth quiz
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Doubling lily pads fill a pond on day 48. When was it half full?
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More questions about Exponential Growth
These visible examples show the question style. LearnClash turns the full topic into ranked duels and spaced repetition.
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What letter does an exponential growth curve look like?
Answer: J
Why: A U, like the graph of $x^2$, rises on both sides, while an exponential curve rises only to the right and flattens out to the left.
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What is Euler's number e to three decimal places?
Answer: 2.718
Why: Its digits run 2.718281828, with the block 1828 showing up twice in a row.
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How long does a 64-disk Tower of Hanoi need at one move per second?
Answer: About 585 billion years
Why: That is roughly 42 times the estimated current age of the universe.
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How many times bigger is something after 10 doublings?
Answer: 1,024
Why: Since $2^{10}$ is close to 1,000, every further 10 doublings multiply by roughly another thousand, so 20 give about a million.
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How many folds would make 0.1 mm paper reach the Moon?
Answer: 42
Why: Folding it 103 times would make it thicker than the observable universe is wide, about 93 billion light-years.
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Where does the 70 in the rule of 70 come from?
Answer: $100 \ln 2$
Why: Swap in ln 3, about 1.10, and you get a rule of 110 for how long growth takes to triple a quantity.
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