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........................... INTERESTING TEST QUESTIONS
1. Name a body part that almost everyone on
earth has an above average number of! Justify your answer.
2. A woman and her husband attended a party with
four other couples. As is normal at parties, handshaking took place. Of course,
no one shook their own hand or the hand of the person they came with.
...And not everyone shook everyone else's hand.
But when the woman asked the other (9) people present how many different
people's hands they had shaken they all gave a different answer. Question (this
is NOT a trick!): How many different people's hands did the woman's husband
shake?
3. A man starts walking up a narrow mountain
path at 6:00 a.m. He walks at different speeds, stopping to eat, sometimes
going back a few steps to look at a flower, but never leaving the path. He
eventually arrives at the top at 10:00 p.m. the same day. He camps out over
night and starts down the same path at 6:00 a.m. the next day. After stopping
to eat and so forth he arrives at the bottom at 10:00 p.m.
True or false? There is some point on the
path that the man occupied at exactly the same time on the two different days.
Explain your answer.
ANSWERS
1. Fingers. Most people have all their fingers (10). Of the remaining people, it
is far more common to have fewer than 10 fingers than to have more than ten
fingers. Thus the average number of fingers is nine point something. Thus,
almost all people have an above average number of fingers.
2. The maximum number of hands that any person might have shaken is eight.
Therefore, the nine people asked by the woman must have given the answers 0, 1,
2, 3, 4, 5, 6, 7, 8. Let's refer to the person who answered 1 as person 1.
Person 8 must have shaken everybody's hand but their own and their spouse's.
Thus, everyone except their spouse has shaken at least one hand. Therefore, 8
and 0 are married. Similarly, 7 must have shaken everybody's hand except for 0
and 1 (who used up his/her shake with 8). So 1 must be 7's spouse (0 is spoken
for). Continuing in this way we see that (6 and 2) and (5 and 3) are married to
each other. This leaves 4 as the only unmatched person. 4 must therefore be
matched to the woman.
3. Imagine that on the first day a clone of the man starts down the mountain at
6:00 a.m. and arrives at the bottom by 10:00 p.m.The man and the clone have to
pass each other at some point.
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James Fenimore Cooper
- World Year of Physics 2005
Where can I find Physics Lessons?
Important and Interesting Test Questions
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Poetry Lessons for Teachers and StudentsPoetry: Wordchimes of the Day
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Algebra Ages 10 and up
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Algebra Blaster 3 Davidson and Associates
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Football - Bicycles
Tsunami! Geography for Students
National Parks Resources
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1. Name a body part that almost everyone on
earth has an above average number of! Justify your answer. 2. A woman and her husband attended a party with
four other couples. As is normal at parties, handshaking took place. Of course,
no one shook their own hand or the hand of the person they came with. ...And not everyone shook everyone else's hand.
But when the woman asked the other (9) people present how many different
people's hands they had shaken they all gave a different answer. Question (this
is NOT a trick!): How many different people's hands did the woman's husband
shake? 3. A man starts walking up a narrow mountain
path at 6:00 a.m. He walks at different speeds, stopping to eat, sometimes
going back a few steps to look at a flower, but never leaving the path. He
eventually arrives at the top at 10:00 p.m. the same day. He camps out over
night and starts down the same path at 6:00 a.m. the next day. After stopping
to eat and so forth he arrives at the bottom at 10:00 p.m. True or false? There is some point on the
path that the man occupied at exactly the same time on the two different days.
Explain your answer. 1. Fingers. Most people have all their fingers (10). Of the remaining people, it
is far more common to have fewer than 10 fingers than to have more than ten
fingers. Thus the average number of fingers is nine point something. Thus,
almost all people have an above average number of fingers. 2. The maximum number of hands that any person might have shaken is eight.
Therefore, the nine people asked by the woman must have given the answers 0, 1,
2, 3, 4, 5, 6, 7, 8. Let's refer to the person who answered 1 as person 1.
Person 8 must have shaken everybody's hand but their own and their spouse's.
Thus, everyone except their spouse has shaken at least one hand. Therefore, 8
and 0 are married. Similarly, 7 must have shaken everybody's hand except for 0
and 1 (who used up his/her shake with 8). So 1 must be 7's spouse (0 is spoken
for). Continuing in this way we see that (6 and 2) and (5 and 3) are married to
each other. This leaves 4 as the only unmatched person. 4 must therefore be
matched to the woman. 3. Imagine that on the first day a clone of the man starts down the mountain at
6:00 a.m. and arrives at the bottom by 10:00 p.m.The man and the clone have to
pass each other at some point.
Important and Interesting Test Questions
Poetry: Wordchimes of the Day
ANSWERS
To find information about an author quickly, use this tool:
James Fenimore Cooper
- World Year of Physics 2005
Where can I find Physics Lessons?
Academy of American Poets
Babel Fish Translation
Translate a block of text
- Enter up to 150 words
Pick Up Your Email
From any computer, anywhere in the world. No need to register!Customize your mail2web now!
-
"Scarborough Fair Canticle" and "Naming of Parts"
Teach Yourself Books
Davidson's Learning Center Series
Algebra Ages 10 and up
Davidson's Learning Center Series
Reading Ages 4-7
Davidson's Learning Center Series
Spelling/Grammar Ages 6-up
Algebra Blaster 3 Davidson and Associates
Tsunami! Geography for Students
National Parks Resources
Enter symbol:
Don't know the symbol?