Quizzes, Problems, Puzzles
Word quizes
1.What is tomalley ?
A Common Mexican food mainly consisting of ground corn;
B The rest of the saying: �Here today, gone�.�
C A liver of a lobster;
D The center or main area in a �Red Light� district.
2.What are Chinese gooseberries?
A A smaller berry similar to the American horseberry;
B The Chinese equivalent of choke or hickey berries;
C A prickly fruit known for its pungent flavor and strong aroma;
D The earlier marketing name for the kiwi fruit.
3.What does surd mean?
a. A member of an organization dedicated to the protection of
cows or other sacred animals;
b. A number which cannot be totally written down as a ratio;
c. A term created for this quiz;
d. The same as absurd, only not so complex.
4.What is a rollmop?
a. Special mop for astronauts;
b. A term for cleaning up in Reno or Vegas;
c. A very pickled herring;
d. An errant dingo.
5.Which term does not fit (and why)
a. Loquat;
b. Cumquat;
c. Biquat;
d. Apricot.
6. What is gammon?
a. A ham or flitch of bacon;
b. To skunk as in backgammon;
c. The partner's role in aiding a pickpocket;
d. All of the above.
7. Match the a-f's to the u-z's
a.ugli b.hinnie c.felon d.waning biscus e.fianchetto f.alpenglow
u. an infection around a fingernail;
v. offspring of a stallion and a jenny;
w. the moon after being full;
x. the red hue on big mountains before sunrise;
y. deployment of bishop on long diagonal;
z. hybrid of grapefruit and mandarin.
8. Bactrian and dromedary are what? and what is the difference?
9. What county in what state is adjacent to four other states?
10. What are the two counties and their states that have the
most tornados on average per year?
At least answer the two states that have those counties.
11. What was the word, that it pronounced properly allowed safe
passage, but if misspoke led to a trip down the chasm?
12. What are the 'four-corner' states?
13. What is grampus (not the ocean kind)?
a. A really nasty mean spirited caged ogre;
b. A large scorpion of the south-west;
c. Spoiled buttermilk;
d. The Latin plural form of grampa.
(1/2 point bonus for identifying the ocean kind)
14. What American Army officer led the camel corp?
15. and what is he more famous for?
16. Custer Trivia - George Custer died at the battle of Little Bighorn.
How are equistrian statues or monuments with Custer mounted displayed and why?
a. All four of the horses legs off the ground;
b. Two of the horses legs off the ground and two on the ground;
c. One of the horses legs off the ground and three on the ground; or
d. All four of the horses legs on the ground.
If you got all these, please send me some challenging ones;
oh,
heck - if you have some please send them so I can add them.
NUMBER QUIZZES
1.Number series 1 - give the next number in the series;
1
11
21
1211
????
2.Number series 2 - give the next number in the series;
1
11
10
110
???
PROBLEMS
1.A TIMELY PROBLEM
A clock repairman is brought a clock because it is losing time.
The clock repairman sets this clock to the time that his �perfect�
Clock shows. Checking the �slow� clock each day against his
perfect clock, he notices a minute loss each day. After 30 days
the �slow� clock is 45 seconds behind the perfect clock.
EXPLAIN EXPLAIN
2.SOLVING THE PROBLEM WAS WORTH A FREE RUG.
The wealthy plantation owner had a rug in his plaza that was
9 feet wide and 12 feet long except a strip cut out of the
center that was 8 feet by 1 foot. The plantation worker knows
one of the workers has a 10 feet by 10 feet room, and the
worker may have the rug, provided he cuts it into no more than
2 pieces.
Make a larger model of the puzzle using graph paper. The
solution is best demonstrated by alternating the 2 pieces
between the two forms.
3.PENNIES FOR YOUR THOUGHTS AND A WEIGHTY PROBLEM.
How many pennies stacked on their sides, one upon another,
are closest in height to a penny standing on its edge?
Give this serious thought and make a committed answer before
checking it out. Another perception penny problem is how many
pennies are there to a pound (avoirdupois - 16 ounces).
Hints: apenny weighs 48 grains rather rather than a pennyweight.
4.THE 12 BALL PROBLEM
Twelve pool balls conventiently denominated as 1 thruough 12 exist; but,
of the the balls is off-weight, either to light or too heavy. A balance
scale is available for weight comparison of the balls. Map out the
process to determine the off-weight ball and whether it is light or heavy,
using only three weighings (balancing of balls on left and right). The
solution should work for 1-Light through 12-Heavy (all 24 possible off-weight
conditions).
5.A GENERAL METHOD FOR ODD SQARES - EVEN, SOLVE SOME
A young lady showed me the three by three magic sqare problem - three
columns of three rows using numbers 1 through 9, once each so that rows,
columns and long diagonals all have the same values. I solved the three
by three immediately and the four by four fairly quickly but the five by five
took me somewhat longer and the six by six I did not solve that day.
Warm up on the four by four which is simple, and then find a solution for
the 6 by 6 magic square.
I am still loking for a general solution for even squares. I found a
general algorithm (I have not seen it published) that works readily for
any odd number row/column size. It was simple to write a computer
program that would output the series 3 through 31 on printer paper.
The 31 by 31 was the largest size that would easily fit on 120
column paper.
The solution could be implemented as a mirror, rotation or combo.
A simple
explanation is start with 1 at the top center and move place the
all subsequent numbers up 1 row and right 1 column with the bottom row
following the top row and the left column following the right row. It
the candidate row - column is filled, then the number goes in the same
column but 1 row lower.
Examp[le for 3 by 3: 1 to r1c2, 2 to r3c3(use bottom row as row above top
row), 3 to r2c1(use left column after right column. 4 to r3c1(r1c2 is
filled so use position 1 row lower than current position), 5 to r2c2,
6 to r1c3, 7 to r2c3, 8 to r1c1, 9 to r3c2. Ea row, ea col ea long dia = sum of 15.
6. SQUARE'S SERIES
Before taking any courses that deal with this kind of series I played with
numbers and found these values where the shorter leg increases. Identify the
series for both even and odd 'x's. What are the other sides if X=13 or X=18?
In these series n is the term number for expression H*H = X*X + Y*Y
| Even X,s | n1 | n2 | n3 | n4 | n5 | n. | n9
|
| H | 2 | 5 | 10 | 17 | 26 | .. | ??
|
| Y | 0 | 3 | 8 | 15 | 24 | .. | ??
|
| X | 2 | 4 | 6 | 8 | 10 | .. | 18
|
| n | 1 | 2 | 3 | 4 | 5 | .. | 9
|
| Odd X's | n1 | n2 | n3 | n4 | n5 | n6 | n7
|
| H | 2 | 5 | 13 | 25 | 41 | 61 | ??
|
| Y | 0 | 4 | 12 | 24 | 40 | 60 | ??
|
| X | 1 | 3 | 5 | 7 | 9 | 11 | 13
|
| n | 1 | 2 | 3 | 4 | 5 | 6 | 7
|
7. JOSEPHUS, ON DECK AND STACKED
There have been many versions of the Josephus problem. The
first I
seem to remember are 30 people aboard ship. The ship needs to be lightened
to make it to port in the storm. Half of the people need to be put off
the ship for any to survive. Josephus as one of the 15 persons of Jewish
origin suggests all form a circle and every 13th person will go overboard.
How does Josephus arrange the circle so only the 15 Jews remain and the
others will be thrown over board? A simpler problem is to
arrange the
spade suit of a card deck so that every 5th card is a card of the sequence
fron the Ace to the king. How arranged?
8. A SPECIAL SORT OF PROBLEM
Using the numbers 1 through 8 sort them into positions 1 through 8 so that
each number in a position has an absolute difference between each
other
number that is unequal to the absolute difference of its position
with each other respective number's position. (Read that carefully.)
Example: if number 2 is in position 1, then numbers 1 and 3 may not be
in position 2, number 4 may not be in position 3, number 5 may not be in
position 4, number 6 may not be in position 5, number 7 may not be in
position 6, number 8 may not be in position 7, and no impact on position
8, but the numbers in positions 2 through 7 would limit what could be in
position 8.
PUZZLES
Assembly puzzles
ASSEMBLY PUZZLE 1
Put pieces on Web - I have tried to find similar puzzles on the WEB
Maybe a reader can help!! The following two puzzles
expand when clicked.
Monkey problem
These are supposed to be monkeys in different suits - cut out squares
match them up to form a 3 by 3 group resuling in a square
ASSEMBLY PUZZLE 2
Shape problem
These are different shapes - cut them out
use 9 of the ten pieces to form a 3 by 3 group
Concept puzzles
The follwing puzzles known as Wordie's expand when clicked - identify the word, phrase
or concept for each 'box'
WORDIE1
Full page wordbox puzzleIdentify word or phrase
Wordie 2
Rows 1-4 wordbox puzzleIdentify word or phrase
Wordie 3
Rows 4-8 wordbox puzzleIdentify word or phrase
Wordie 4
Baseball phrasesBy Kirk Miller, April 1995 Games
ANSWERS
Word Quizzes
1 - C Tomalley is the green stuff from lobsters.It is "
gourmet and expensive by the ounce.
2 - D Kiwi fruit - sales were miserable when marketed as
Chinese gooseberries.
3 - B saurd is the term for an irrational number.
4 - C Sold mainly in Brithish pubs - the Danes and Dutch
may have similar 'treats'.
5 - C Made up term. The others are treats. The obvious
spelling grouping yields half credit.
6 - D I've met or et them all.
7 A-z B-v C-u D-w E-y F-x
8 Camels Bactrian are asian w 2 humps. Dromedary are near
east w only 1 hump.
9 Cimarron County in OK panhandle. Adj. to TX, KS, NM, AND CO
10 #1 is Weld in CO #2 is Harris in TX
11 shibboleth - non-Cananites could not pronounce the final h.
12 Easy Utah, Colorado, New Mexico and Arizona
13 - B It can strike over its head.
The ocean kind is a cetacean such as the killer whale
14 Jefferson Davis - his new job and its timing was the demise
of the US Camel Corp.
15 easy - only if you know answer to 14. President of
Confederate States of America
If you got all these, then kindly mail me some challenging ones.
Number Quizzes
1 - 111221 each term desribes the previous term
2 - 111 grey counter form of binary - each succeeding term
changes in only one bit position. The first 8 non-zero values
are: 1 11 10 110 111 101 100 1100
Problems
1 Sorry if you had trouble with this. Minute is very small.
2 Will update as diagram. As rows and cols in 10 by 10, one
piece is C1: R1-10, C2: R1-8, C3: R1-6, C4: R1-4, C5: R1-2,
C6: R1-8, C7: R1-6, C8: R1-4 C9: R1-2, C10: none
3 13 pennies on their sides are closest in height to one on
edge. 55 pennies to the pound. Try it - could it be 155? Copper would have to rise
to 156 cents a pound for pennies to become scrap copper.
4 This problem I had fun demonstrating the answer by verbally
asking for balance results after a ball # and H0r L has been
selected. Only a general solution is given for
each of the 24 possible ball conditions.
Select 1-4 against 5-8
if (balance)
...9-11 against 1-3 # bad ball is among 9-12
...if(balance)
......12 against 1 # 12 is bad ball - see if light or heavy
...else # ball is known to be light or heavy
......9 against 10
......if(balance)
.........ID # 11 as bad ball and H or L as previously known
......else
.........ID ball matching previously known H or L
else # bad ball is in 1-8 w (1-4 L & 5-8 H) or (1-4 H & 5-8 L)
...1-3,5 against 4, 9-11
...if balance
......6 against 7 # bad ball is among 6-8 and H or L is known
......if(balance)
.........ID # 8 as bad ball and H or L as previously known
......else
.........ID ball matching previously known H or L
...else
......if ( previous match for 1-4 group)
..........1 against 2 # bad ball is among 1-3 and H or L known
..........if (balance)
.............ID # 3 as bad ball and H or L as previously known
..........else
.............ID ball matching previously known H or L
Answer 7
These kind of problems are can be readily (so I claim I have done)
developed as a computer program with parameters as the number of
elements and count off value.
Answer 8. This is just a different expression of the old 8 queens
problem - I recall there are 92 solutions. The position can correspond
to a row and the value in that position corresponds to a colunm. Easy to
do with recursive languages. I think there are maybe 8 basic arrangments,
the other being rotations or mirrors.
15863724 16837425 17468253 17582463 24683175 25613864 25741863
26174835 26831475 27368514 27581463 28613574 31758246 35281746
35286471 35714286 35841726 36258174 36271485 36418572 36428571
36814752 36815742 36824175 37285146 37286415 38471625 41582736
41586372 42586137 42736815 42736851 42751863 42861357 46152837
46827135 46831752 47185263 47382516 47526138 47531682 48136275
48157263 48531726 and the other are 9's complements 8 for 1 , 7 for 2
of the 46 solutions given
See solutions demo
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