Trick Questions - 9: How Many Rungs and Pages Does the Bookworm Eat?

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SUMMARY

The discussion revolves around a series of trick questions, including a mathematical riddle involving a bookworm traveling through a 3-volume set of books. The bookworm, starting from the first page of Volume 1 to the last page of Volume 3, travels a total distance of 2 inches, as each volume is 1 inch thick. Additionally, participants are challenged to name integers from 1 to 999 that do not contain the letter "a" within 30 seconds. The conversation also touches on differences in English terminology related to mathematics between American and British English.

PREREQUISITES
  • Understanding of basic arithmetic and measurement concepts.
  • Familiarity with the structure of multi-volume books.
  • Knowledge of English language rules regarding letter usage in numbers.
  • Awareness of cultural differences in mathematical terminology between American and British English.
NEXT STEPS
  • Research the concept of mathematical riddles and their educational benefits.
  • Explore the differences between American and British English in mathematical contexts.
  • Practice naming integers without specific letters for cognitive skill development.
  • Investigate the psychological aspects of problem-solving in trick questions.
USEFUL FOR

Educators, students, puzzle enthusiasts, and anyone interested in enhancing their problem-solving skills through mathematical riddles and language nuances.

soroban
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. . . . . . . . Trick Questions - 9There is rope ladder hanging over the side of a yacht.
The rungs are one foot apart.
At 1 p.m. there are three rungs below the water.
The tide is rising at one foot per hour.
How many rungs are underwater at 4 p.m.
Three rungs.
The yacht rises with the tide.
Consider the English names of the integers from 1 to 999.
In the next 30 seconds, how many numbers can you name
that do not contain the letter "a"?
Start counting: one, two, three, etc.
None of them contain the letter "a".

Note: 123 is "one hundred twenty-three".
. . . . .There is no "and" used.

. . . . .The "and" represents the decimal point.
. . . . .12.3 = "twelve and three-tenths".
In the original movie, who played Frankenstein?
Colin Clive.
Boris Karloff played the nameless monster.
A 3-volume set of books is on a shelf in the usual way.
A bookworm eats his way from the first page of Volume 1
directly to the last page of Volume 3.
Each volume is 1 inch thick. .(Ignore covers.)
How far does the bookworm travel?
One inch.
Code:
      *---*---*---*
      |   |   |   |
      |   |   |   |
      | 1 | 2 | 3 |
      |   |   |   |
      |   |   |   |
      *---*---*---*
          ↑   ↑ 
          a   b
The first page of Volume 1 is at a.
The last page of Volume 3 is at b.

Gotcha!
 
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soroban said:
In the next 30 seconds, how many numbers can you name
that do not contain the letter "a"?
Start counting: one, two, three, etc.
None of them contain the letter "a".

Note: 123 is "one hundred twenty-three".
. . . . .There is no "and" used.

. . . . .The "and" represents the decimal point.
. . . . .12.3 = "twelve and three-tenths".

Erm, in the UK we say "one hundred and twenty three". Are we wrong? :p
 
As an American who taught British English for a couple of years, I am pretty aware of most of the differences between our versions of English, but only recently became aware of the differences with regards to math (or maths ;) ) and numbers. Here's a cool video talking about some of them.

 

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