The questions are simple, but the answers aren’t. You won’t be deceived.
The facts are clear. But you might draw bad conclusions regardless.
1. A bat and a ball together cost $1.10. the bat costs $1.00 more than the ball. How much does the ball cost?
2. If it takes 5 machines 5 minutes to make 5 widgets, how many minutes would it take 100 machines to make 100 widgets?
3. In a lake, there is a patch of lily pads. Every day, the patch doubles in size. If it takes 48 days for the patch to cover the entire lake, how many days would it take for the patch to cover half of the lake?
4. 64 teams compete in a single-elimination tournament. Teams that win advance to the next round. Teams that lose are eliminated. How many games will be played before a champion is crowned?
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Counterintuitive Fall 2024 
1) $0.05 for the ball.
2) 5 minutes
3) 47 days
4) 63 games
1) 10 cents more
2) 100 minutes
3) 76 days
4) 8 rounds
1. 5 cents
2. 5 minutes
3. 47 days
4. 5 games will be played
1. The ball costs 5 cents.
2. 1 hour 40 minutes.
3. It will take 24 days.
4. It will take 33 games to determine a winner.
1. 5 cents
2. 5 minutes
3. 47 days
4. 63 games
1. $0.05
If the ball costs $0.05, and the bat costs $1.00 more, then the bat costs $1.05, and together they make $1.10.
2. 5 minutes
3. 47 days
it would take one day less for it to cover half of the lake.
4. 63 games
1. The bat costs 5 cents
2. 1 hour 40 minutes
3. 24 days
4.32
– The ball is 5 cents (bat is a $1.05 leaving .05 cents because the whole amount is $1.10)
– . It will take 5 minutes. (1 machine can make 1 widget every five minutes, so it would still take 5 minutes)
– 47 days. (if the whole pond is covered on day 48 and it doubles every day, half is covered on day 47)
– 63 games to crown a winner. (every round half of the teams are eliminated)
1. 5 cents
2. 5 minutes
3.47 days
4. 63 games
1) 5 cents
2) 5 minutes
3) 48 days
4) 63 games