GREAT
CRITICAL THINKINGAnother Pattern
•••
Here is another mathematical pattern that relates the
four numbers of each triangle. Can you uncover the
pattern and use it to complete the third triangle?
10
5 ?Answer on page 86.
ViveleFiag
•••
The French tricolor flag is made up of three vertical
stripes: red, white, and blue. Suppose you are given
four different colors of fabric and asked to create a
different flag using the same tricolor design. If no two
adjacent stripes can be the same color, how many different
combinations of color patterns are there?
HINT: Don't forget that the flag pattern can be
flipped over!
Answer on page 87.
50
pjzza Cut
•••
Five people want to share a square pizza. The first
person (who is really hungry) removes a quarter of
the pie. When the others find out, they are annoyed
and try to divide the remaining three-fourths into
four equal and identically shaped slices. The cuts
must be straight. How must they cut the remaining
pizza in order to produce four identical slices?
Answer on page 87.
51
Slip Sliding
+++
For this challenge, you'll need to get seven coins.
Place a coin on any of the star's eight points. Then
slide the coin along one of the straight lines to its
endpoint. Place a second coin on another point. Slide
this one down to its endpoint. Continue in this manner
until all seven coins have been placed.
NOTE:
a strategy.
It can be done-but you'll need to developAnswer on page 87.
52
---------------------------
A, H, See?
+++
Each letter stands for a different digit in each equation.
Can you decode each one?
AB
xAB
ABB
AA
+AA
BBC
ABA
+BAB
BBBC
ABA
+
BAA cnnnAnswers on page 88.
Spare Change
+++
Jonathan has a pocket full of coins. Yet he doesn't
have the right combination of coins to make change
f()r a nickel, dime, quarter, half dollar, or dollar.
What is the largest value of coins Jonathan can
have in his pocket?
Answer on page 88.
Puzz)ing Prices
+++
A puzzle book costs $5.00 plus one-half of its price.
How much does the puzzle book cost?
HINT: It's more expensive than this book.
Answer on page 88.
53
GumDrop
•••
In preparation for a party, Heather fills a large jar
with gum drops. Before the party begins, Michael
sees the gum drop jar. He (hoping that no one will
realize) takes one-third of the drops. Soon after,
Tanya takes one-third of the gum drops (she too
hopes that no one will notice). Finally, Britt appears
and, like the others, she takes one-third of the gum
drops. If forty gum drops are left in the jar, how many
did it originally contain?
54
1
~ECotM\£tJD ~ovQUI'
GOING To~E.A:{"ef('~
rAfT" S.Answer on page 88.
--------
-----------------Go-Cart Crossing
•••
Three go-cart tracks are built as shown. Each track
forms a separate one-third of a mile loop. Three gocarts
begin riding at the same time from the central
point where all three tracks cross. One go-cart travels
at 6 mph, another at 12 mph, and the third at 15
mph. How long will it take for all three go-carts to
cross paths for the fifth time?
Answer on page 89.
Table Manners
•••
Four couples enter a restaurant. How many ways can
they be seated at a round table so that the men and
women alternate and no husband and wife sit next to
each other.
Answer on page 89.
55
WinningSHp
•••
A contest is fixed. Everyone knows it, including the
contestants. One of the contestants, however, makes it
to the final playoff level.
The master of ceremonies presents the following
challenge: "This box contains two slips of paper. One
slip has the word 'winner' printed on it, the other has
the word 'loser.' Your task is to select the winning
slip-without looking of course."
The contestant knows that this challenge is fixed.
He realizes that both slips have the word 'loser.' How
can he select one slip and win the challenge? By the
way, the contestant can't declare this contest is a fraud
or he'd lose his current winnings.
~.
'o.!. '..~- ~•,•,•_• C••iJ•.•'t• •W~ ot •:•/~•' •r1•_"•-•,.~ ...:.,..o·
~t C ;) :: -fiNAL RO\1l\J\>- ;: c•
J OUtAnswer on page 89.
56
Ancient Man
++.
An ancient Greek was said to have lived one-fourth of
Answer on page 90.
Lights Out!
++.
The total output of electrical energy from your brain
is only about 20 watts. That's not an avalanche of
power (especially when you consider that most household
light bulbs use five times that amount). Now try
powering up with this problem.
Imagine that you can't sleep because you are kept
awake by the flashing neon lights that shine through
a square store window. The window measures· 10
feet.
A friend assures you that he can cover up half the
area of the window but still leave a square section
that is 10 x 10 feet. This
and the storekeeper. You think your friend has lost
it. Has he?
X 10will then satisfy both youAnswer on page 90.
57
Pencil Puzzle
•••
Can you uncover the logic used to create this layout?
If so, use that same logic to determine the letter for
the question mark.
liIlID~~i>
L M <:l~~ml' LM lID
> 0Answer on pages 90-91.
58
Sound
.s. .L..o gical?It's the weekend! Saturdays and Sundays are the days
that Sheila, Ramon, and Niko shop together for
music. The CDs they purchase are either rock 'n' roll
or jazz. When they visit the music store, each person
will purchase one and only one CD. Here are the
rules that govern their selections.
1. Either Sheila or Ramon will pick rock 'n' roll, but
not both of them.
2.
3. Niko and Ramon do not both pickjazz.
Which one of the three purchased a jazz CD on
Saturday and a rock 'n' roll CD on Sunday?
If Sheila picks rock 'n' roll, Niko picks jazz.Answer on page 91.
Triangu
..l.a.r. TowerSuppose ten billiard balls are placed in the standard
triangular rack. If additional billiard balls are placed
on top of this pattern, some balls will roll into the
gullies to form a smaller, stable triangle (forget about
the balls which roll off the stack). If you add more layers,
you'll eventually build a billiard ball pyramid.
How many billiard balls and levels would the pyramid
contain?
Answer on page 91.
59
Criss-Crossed
•••
Place six coins in the layout as shown below. Notice
that this arrangement forms two columns. The
hori~zontal column has four coins. The vertical column has
three coins. Can you move only one coin to form two
columns with each containing four coins?
Answer on page 92.
Crystal Building
•••
Have you ever looked closely at a crystal? If so, you
may have noticed that the crystal has flat sides and
uniform angles. That's because a crystal is a repeating
arrangement of tiny particles of matter. Often, a
cen~tral particle is surrounded on all sides by other
parti~60
des. Here's a puzzle that will help you visualize a
crystal pattern.
Suppose you coat a tennis ball with glue. What is
the maximum number of tennis balls that can attach
directly to this sticky surface?
Answer on page
92Testy Target
•••
Ten arrows are shot at the target below. One of them
misses the target completely. The others all strike it.
If the total sum of points is one hundred, in which
part of the target did each arrow strike?
Answer on page 92.
61
Eighth Century
Enigma•••
Here's a puzzle that can be traced back to the eighth
century. A man has a goat, a wolf, and a head of cabbage.
He comes to a river and must bring these three
things across to the other side. The boat can only take
the man plus either the goat, wolf, or cabbage. There
is another problem. If the cabbage is left with the
goat, the goat will eat the cabbage. If the wolf is left
with the goat, the goat will be devoured. How can he
transport the wolf, goat, and cabbage to the other
side?
Answer on page 93.
62
Planet Rotation
......Our planet spins counterclockwise on its axis.
has a counterclockwise revolution around the sun.
Suppose both motions now go clockwise. How would
this affect the apparent direction of sunrise and sunset?
It alsoAnswer on page 93.
Sh
..u.f..f lePretend you have five cards: a ten, a jack, a queen, a
king, and an ace. In your mind's eye, shuffle these
five cards together and put the pile face down.
were to select four cards, returning each card and
reshuffling the deck after each pick, what kind of
hand would you more likely draw: four Aces or a
straight picked in sequence? Can you explain why?
If youAnswer on page
93.Some Exchange
......The first written puzzles appeared in ancient Egypt at
about 1650
B.C. These puzzles were part of an 18V2-foot scroll called the Rhind Papyrus. Times have
changed since then, but many puzzles haven't. Just
try these next ones.
63
Examine the two stacks of number blocks. If you
exchange one block from one column with one block
from the other, the number of their sums will be
equal. Which blocks need to be exchanged?
5
9
1144
127
8N ow that you know how to balance two columns,
you're ready to move up to three columns! By
exchanging one block from each column, each of the
three blocks' sums will be equal. Remember that all
three columns must undergo only
on~ exchange.7
1 32
6 210
12 17Answers on pages 93-94.
64
THE ANSWERS
Brain
NetTwenty routes. Although you can chart them all out, there
is a less confusing way. Starting at the left, identify the
number of routes that can get you to a circle. You can
arrive at this number by adding the numbers found in the
connecting circles to the left. Keep going until you get to
the finish.
start
finishPredicting Paths
a.
---
...." ------...' ------..."~ " , , " , I " \ ,\1 ,I \1
tl
tl tlb.
66
c.
•
• \Who's That?
Position the mirrors so that they are arranged like an
opened book. The right side of your face will reflect on the
right side of the mirror. This image does not reflect back
to that eye. Instead, it bounces to the other mirror. From
there, the image is reflected back to the other eye .
........
..
o
Leftovers Again?
Thirty-one statues. The 25 ounces are used directly to
make twenty-five statues. During this' process, 5 ounces of
excess clay are produced. This extra clay is used to make
67
five additional statues. While making these five additional
statues, there is enough unused clay to make one more
statue with one-fifth of the clay left over.
Brownie Cut
One cut
tn=)!
f..· .. _.. _. ....1. L-'_• • _• ..... } :~:=J!Balandns Gold
Nine pounds. Examine the objects on the right side of the
balance. If we looked at the balance pan containing the
two bars, we'd see that one-tenth of the gold bar is absent.
In its place we have nine-tenths of a pound. From this we
can infer that one-tenth of a gold bar weighs nine-tenths
of a pound. Therefore, a complete gold bar would weigh
ten times as much.
0/10 pound x 10 = 90110, or 9 pounds.Thrifty
TechniqueFirst, divide the coins into three groups of three. Then,
balance anyone group against another group. If the counterfeit
is contained in either of the groups, the coins will
not balance. If, however, they balance, the counterfeit coin
must be in the third pile. Now that we have identified the
pile with the counterfeit coin, remove one coin from the
68
pile and balance the other two. The lighter coin
balance. If the two coins do balance, the counterfeit coin is
the one not selected.
will notTricky Tide
Five rungs
the boat
will still remain exposed. As the tide comes in,will rise up.Breaking Up Is Hard to Do
Disorder
7
3 1 4
5 8 6
2
69
True or False?
Tarsal. To figure this one
alien's response. If the first alien was a tarsal, it would
identify itself as a tarsal. If it was a carpal, it would still
identify itself as a tarsal. Either way, the mumbling alien
would identify itself as a "tarsal." Therefore, the second
alien had to be lying. The third alien truthfully identified
the carpal, making him a truth-telling tarsal.
out, we need to look at eachPack Up Your Troubles
The "trick" is using the same block in the rows of two adjacent
sides.
Don't Come Back
Again!
This Wayt
I
~
r-1
70
Meet Me on the Edge
One in six. The ant (or fly) can take anyone of the six
available routes.
Now, the other insect must select the "collision route"
from its own six possible choices. Therefore, the odds are
one in six.
It doesn't matter.Only the Shadow Knows?
They can never cast shadows of equal size.
Any difference in their altitude would be negligible
compared to their distance to the sun. It's those
93,000,000 miles from our planet to the sun that affect
the shadows' size much more than their puny distances
apart.
More Shadow Stoff
At that time of day, the shadow is two-fifths of the object's
height.
height) is 25 feet, then the height of the tree is 62Y2 feet.
If the tree's shadow (two-fifths of the unknownTrip Times
Since it takes her 1 hour to reach the top (while traveling
at 30 mph), the
mph, she'll cover that distance in only 30 minutes.
The average speed is the total distance/total time
miles/1.5 hours or 40 mph.
hill is a 30-mile route. Traveling at 60= 6071
Average Puzzle
There is no way that she can average 20 mph for the whole
trip. Like the uphill path, the downhill path is only 10
miles. This distance is too short to achieve an average
speed (for the whole trip) of 20 mph.
Consider this: If she completed her trip by traveling the
downhill path at 600 mph, then her average speed would
be the total distance divided by the total time, or 20
miles/61 minutes, or an average of about 19.6 mph.
By examining this equation, you'll see that there will be
no way for her to decrease the denominator (time) below
the 60 minutes she has already spent cycling up the hill.
Palindrome
55 mph. The next palindrome that the odometer can display
is 14,041. To reach this value, Bob will have had to
travel
his average speed will be 55 mph.
All other palindromes would have required too many
miles to produce a logical speed. For example, the odometer's
next palindrome is 14,141. From this, you can calculate
an average speed of 105 mph-highly unlikely.
110 miles. If it took him 2 hours to reach this point,Stacking Up
or
72
StarBirth
F1ipRop
,
" ,\
Crossing Hands
Eleven times. For each hour up until 11 :00, the clock's
hands will cross once. Between 11
cross once (at noon). For each remaining hour between 1
AM and 1 PM, they'll onlyPM
us a total of6
and 5 PM, the clock's hands will cross once. That gives+ 1 + 4 = 11 times.73
What's Next?
The sequence is based on the expanding geometric figures.
Mter
starts again at the center.
each figure reaches the outside perimeter, itTrying Triangles
Thirty-five triangles.
Flipping
Pairs74
First move
Second
move
Third
move
Missing Blocks
a. Twenty-three blocks. None are missing from the bottom
layer, six are missing from the second layer, eight are missing
from the third layer, and nine are missing from the top
layer.
b. Seventeen blocks. Eight are hidden in the bottom layer,
six are hidden in the second layer, three are hidden in the
third layer, and none are hidden in the top layer.
Matchstick Mem.ories
I~TiT~
III~-)("
I == IIII+--I=IV
Sum. Circle
75
Many Rivers to Cross
First, the two children row to the far side. There, one gets
out. The other child returns and gives the boat to an adult.
The adult crosses the river. On the far side, the adult gets
out and the child gets in the boat. The child brings the
boat across the river and transports the other child back to
the far side. This pattern continues until the four adults
have crossed.
Train Travel
15 minutes and 32 seconds. This problem is not as simple
as it may appear. The distance from pole one to pole ten is
nine units. As stated, it takes the train 10 minutes to travel
this distance. Therefore, it takes the train 1 minute and
one-ninth (about 6.6 seconds) to travel each inter-pole distance.
From the first pole to the fifteenth pole is fourteen
inter-pole distances.
seconds, or 14 minutes and 92 seconds, or about 15 minutes
and 32 seconds.
It should take 14 x 1 minute and 6.6MUesApart
120 miles. This problem is full of extra (and unneeded)
information.
Think it backwards. One hour before they meet, one
train is 65 miles away from the meeting point, while the
other is 55 miles. Add the two distances together and
you'll get 120 miles.
76
Passing Trains
792 feet. The length of the freight train can be calculated
by knowing its relative passing speed and the time it took
for it to move by. The passing speed is equal to the sum of
both train speeds (60 mph +30 mph
Here's where some conversion comes in. By dividing by
sixty, we find that 90 mph is equal to 1.5 miles per minute.
By dividing by sixty again, we find that this is equivalent to
0.025 miles per second.
The freight train takes 6 seconds to pass. Therefore, its
length is 0.15 miles. To change this into feet, multiply 0.15
by the number of feet in a miles (5,280).
= 90 mph).Souped-Up Survey
The numbers do not add up correctly. The agency stated
that only one hundred people were interviewed. Yet,
according to a logical breakdown of the results, they
received 120 responses. You can see by making a diagram
of the data.
77
Toasty
Fry one side of two slices for 30 seconds. Flip one slice
over and replace the other slice with a fresh slice of bread.
At the end of 1 minute, remove the completely fried
bread. Return the unfried side of the previous slice to the
pan and flip the other slice over for 30 seconds.
Circle Game
When added together, the numbers at the opposite ends
of this sequence equal ten
five in the middle circle, we ensure that all the sums must
equal fifteen (10
(1 + 9, 2 + 8, etc.). By placing a+ 5).A Fare Split
$12.50. One-fourth of the total round trip fare ($5.00) was
taken by Michelle alone. Three-fourths of the round trip
was shared (half of $15.00). Therefore, Michelle should
pay $5.00
+ $7.50 or $12.50.78
Pentagon Parts
Bagel for Five?
Coin Moves
@-G)
I
1 I(3-@-~-@
I
2 I 3 I@-~-~
79
Trapezoid Trap
A+Test
Mis-Marked Music
Select the box labeled "Rap & Jazz." Listen to one tape. If
the marble is jazz, then you must have the box full of jazz
cassettes. (Remember that since all the boxes are mislabeled,
this box could not contain the mix of rap andjazz.)
Likewise, if the tape is rap, you have selected the all-rap
box. Since all three names are mismatched, then just
switch the names of the other two boxes to correctly identify
the contents of all boxes.
Measuring Mug
Fill the mug about two-thirds full of water. Then
that water pours off. When the level of water reaches the
tilt it so80
same height as the uplifted mug bottom, the vessel is then
half full.
Coin Roll
a. The same direction-to the left.
,-
... ,I \
• \ ,"'-
.......h.Two.
Painting
O·D the SideTen ways. 1
adjacent red faces, 1
= all sides white, 1 = one red face, 1 = two= two opposite sides red faces, 1 =three sides red (in line), 1
and left-hand L-shape design), 1
1
faces, 1
= three faces red (in right-hand= four faces red (in line),= four faces red (two pairs of two in line), 1 = five red= all faces red.81
Magic Triangle
Patterns
Fourteen. Add the upper left number, lower left number,
and lower right number together. Then multiply this sum
by the number in the upper right corner. The product is in
the center of the square.
Frog Jump
Four days. During the first day, the frog jumps up 6 feet and
at night slides down 2 feet. The frog begins day two at a
height of 4 feet, jumps to 10 feet, but slides back to 8 feet. On
day three, the frogjumps to 14 feet, but slides back to 12 feet.
On day four; the frog jumps to 18 feet and leaves the welL
82
Jlrmy
llntsYes. Here's how.
~--------~I ~I~
__ ~ ____ ~CI:OII ....... IJ d:P1I d:Ol
l
~a_:o~ _~.._.,_-- ~I at:o- :1 -1_ ____rJ;t-: )- ,11
~«-0- --.......II~ cro II- .=.-:.: --_=-_=:r---«J:)~I" __ -
No Sweat
Five girls and two boys. First, subtract the coach's 9 cups
from the total amount. Therefore, the boys and the girls
together drank 34 cups. The winning combination is five
girls (who together drink 20 cups) and two boys (who
together drink 14 cups). 20
+ 14 = 34 cups.83
Go Figure!
Statement 4. The confusing relationship may best be understood
by putting the information in a graphic layout. From
the drawing, you can see that only statement 4 is true.
Pugwigs
8Square Pattern
There are only three distinguishing patterns. All other patterns
are obtained by rotating the square.
r
b r
g b b g r g r bg r b g b g rg
b r g r b r b gBouncing BaD
Approximately 3 meters. The first fall is 1 meter. It
rebounds to
2 meters. Then the ball goes up and down
'12 meter, than falls Y2 meter. So now we're at'14 meter, then84
lt8
until it comes to rest (theoretically it would keep going, but
in the real world it stops).
distances up, we'd get: 1
meter, then J.16 meter, and so on. It continues this patternIf we were to add all of these+ V2 + V2 + 1,4 + V4 + lt8 + lt8+ J.16+
Yl6 + ... = -3 meters.Complete the Pattern
x
each triangle equals 10, and the pentagon equals 2. The
numbers represent the sums of the values in each row or
column.
= 22; Y = 25. Each circle equals 1, each square equals 5,Checkerboard
Thirty squares.
Cutting Edge
~I
I ~k----------1-8-ft.--------~)1The Die
Is CastAlthough all four dice have the same relative orientation
of spots, the three spots on the last die tilt from the lower
85
left corner to the upper right corner.
When the other dice are rotated onto this position,
their three spots tilt from the upper left to the lower
right corner.
I
•<. : ;"~Playing
with Matches?Thirty-one matches. If one winner is to be found in thirtytwo
teams, then thirty-one teams must lose. Since each
team can only lose once, the thirty-one losses result from
thirty-one matches.
Competing Clicks
Anthony. The actual period is 1 second less than the time
given. Emily completes ten clicks in 9 seconds. Buzzy completes
twenty clicks in 19 seconds. Anthony completes five
clicks in 4 seconds. This gives us the approximate rates:
Emily
Anthony
= 1.1 clicks/second, Buzzy = 1.05 clicks/second,= 1.25 clicks/second.Another Pattern
Four. The number in the center of each triangle results
from dividing the product of the top two sides by the bottom
side.
86
ViveleFlag
Twenty-four combinations. If both of the outside stripes
are the same color, you'll have twelve possible combinations
(4
If all three stripes are a different color, you'll have twenty-
four possible combinations (4
these twenty-four flags are made up of twelve mirror-image
pairs. Just rotate the mirror image one-half turn and you'll
produce the other flag. This decreases the stripe combinations
to only twelve.
Now let's add the two sets of possible combinations: 12
X 3 =12).X 3 X 2 = 24). However,+
12 = 24 different color patterns.Pizza
CutSlip Sliding
You'll get blocked if you don't place the coins in a specific
order. Each coin must come to rest on the spot where the
previous coin began its journey. Only in this manner can
you then place all seven coins.
87
A, H,
'See?10
xl0
100
55
+55
110
Spare Change
919
+191
1110
545
+455
1000
$1.19. Jonathan has four pennies, four dimes, one quarter,
one half dollar. Added together, they amount to $1.19.
Puzzling Prices
Ten dollars. The trick is not getting fooled into thinking
that the book is five dollars.
If the book is "p," then $5
$5
+ Y2p = p.= Y2p.$10
= p.GumDrop
135 gum drops. If forty gum drops are left in the jar, the
forty must represent two-thirds of the gum drops that were
available when Britt appeared.
Therefore, the total number of gum drops before Britt
took her share was sixty. Working with the same logic, you
can figure out that before Tanya took her share of thirty,
the jar had ninety gum drops. Before Michael took his
share of forty-five, it had 135 gum drops.
88
Go-Cart Crossing
33.3 minutes. To travel 1 mile, go-cart A takes
hour, go-cart B takes
Yt; of anYl2 of an hour, and go-cart C takes Yl5of an hour. To travel one loop distance
would take each
three would meet at
to occur, five Y9-hour periods must pass. 5
an hour, or about 33.3 minutes.
(lis of a mile), itYls, Y36, and Y45 of an hour, respectively. All~ of an hour intervals. For five meetingsX ~ = % ofTable Manners
Two ways. White
= female. Black = male.o o
•
Winning Slip
The contestant picks one of the slips. The slip is placed
out of view (possibly eaten). The contestant then asks the
MC to read the slip that was not selected. That MC's slip
has the word "loser." When the audience hears "loser,"
they logically conclude that the contestant must have
picked the winning slip.
89
AnclentMan
60 years old. If his whole life is "X years," then:
His boyhood years
His youth
His adulthood
His elder years
Y4X
X
= Y4X= Ji5X= Y§X= 13+ Ji5X + Y§X + 13 = X= 60Lights Out!
He covers the window as shown here, which meets both
conditions.
Pencil Puzzle
V.
the alphabet. The "twist" is produced by the extra pencil
points aimed at certain letters. Each pencil point can be
replaced by the words "advance one step."
The layout is based on the sequence of letters found in90
Look at the letter L (either one). The L progresses to M.
The M, however, does not advance to an N because two M
pencil points converge on this next space. The letter then
advances one extra step, resulting in an O.
With the same logic, the 0 leads to an R (advance three
steps). The R leads to a V (advance four steps).
Sounds Logical?
Niko. If Sheila picks rock 'n' roll, then according to
(1)Ramon must pickjazz and according to
pick jazz. These selections contradict
out.
If Ramon picks jazz, then according to (1) Sheila must
pick rock 'n' roll and the same contradictions surface.
The only person who can select either jazz or rock 'n'
roll without any contradictions is Niko.
(2) Niko must also(3). This rules SheilaTriangular Tower
Twenty balls arranged in four levels.
91
Criss-Crossed
Place one coin on top of the corner coin.
,,--
... ,,
,-, ,I \
Crystal Building
Twelve tennis balls. Place six in a circle around the middle
of the ball. Place three on top and three on the bottom.
Testy Target
Two arrows struck the 8 region (16 points) and seven of
them struck the 12 region (84 points). Total: 16
+ 84 =100 points.
92
Eighth Century Enigma
On his first trip, the man brings the goat over (leaving the
cabbage and wolf behind). On his second trip, he brings
over the cabbage. When he lands on the other side, however,
he takes the goat back in his boat. When he returns,
he drops off the goat and takes the wolf. He transports the
wolf across the river and leaves it with the cabbage. He
returns once more to ferry over the goat.
Planet Rotation
The sun would now appear to rise in the west and set in
the east. This change is caused by the switch in rotation
spin. The switch
of the apparent sunrise or sunset.
in revolution does not affect the directionShuffle
The straight is more probable. To select the four of a kind,
you need to select "one card out of five cards" four times:
Vs x Vs x 15 x Vs, or lout of625.
For the straight, the first card can be any card. Then,
you'll need to select "one card out of five cards" three
times: Vs x Vs x Ji, or lout of 125-a better probability.
Some Exchange
a.
column must have a sum equal to half that, or thirty. To
arrive at thirty, you need to lessen one column by five and
14 and 9. The sum of all eight numbers is sixty. Each93
increase the other by the same amount. This is accomplished
by exchanging a 14 for a 9.
b. 2, 1, and 3.
all nine numbers together, then divide that sum by three.
The result is twenty: 7 2 1
362
10 12
As with the previous problem, you can add1120 20 20
94
INDEX
A Fare Split, 35, 78
A+ Test,
38,80A,
Ancient Man,
B, See?, 53, 8857,90Another Pattern, 50, 86
Army Ants, 43, 83
Average Puzzle, 22, 72
Bagel for Five?, 36, 79
Balancing Gold, 13,68
Bouncing Ball, 45-46, 84-85
Brain Net, 8, 66
Breaking Up Is Hard to Do, 15,69
Brownie Cut, 12,68
Checkerboard, 47, 85
Circle Game, 35, 78
Coin Moves, 37, 79
Coin Roll, 40, 81
Competing Clicks, 49, 86
Complete the Pattern, 46, 85
Criss-Crossed, 60, 92
Crossing Hands, 25, 73
Crystal Building, 60-61,92
Cutting Edge, 47-48, 85
Die Is Cast, The, 48, 85-86
Disorder, 16,69
Don't Come Back This Way
Again!,
19,70Eighth Century Enigma, 62, 93
Flip Flop, 25, 73
Flipping Pairs, 27, 74
Frog Jump, 42, 82
Go-Cart Crossing, 55, 89
Go Figure!, 44, 84
Gum Drop, 54, 88
Leftovers Again?, 11,67-68
Lights Out!,
57,90Magic Triangle, 41, 82
Many Rivers to Cross, 31,76
Matchstick Memories, 29, 75
Measuring Mug, 39,
80-81Meet Me on the Edge, 20, 71
Miles Apart, 33, 76
Mis-Marked Music, 38-39,
80Missing Blocks, 28, 75
More Shadow Stuff, 21, 71
No Sweat, 44, 83
Only the Shadow Knows?, 21, 71
Pack Up Your Troubles,
18,70Painting on the Side, 40, 81
Palindrome, 22-23, 72
Passing Trains, 33, 77
Patterns, 42, 82
Pencil Puzzle, 58,
90-91Pentagon Parts, 36, 79
Pizza Cut, 51, 87
Planet Rotation, 63,93
Playing with Matches?, 48, 86
Predicting Paths, 9-10, 66-67
Puzzling Prices, 53, 88
Shuffle, 63,93
Slip Sliding, 52, 87
Some Exchange, 63-64, 93-94
Sounds Logical?, 59, 91
Souped-Up Survey, 33-34, 77
Spare Change, 53, 88
Square Pattern, 45, 84
Stacking Up, 23, 72
Star Birth, 24, 73
Sum Circle, 30, 75
Table Manners, 55, 89
Testy Target, 61, 92
Thrifty Technique, 13-14,68-69
Toasty, 34, 78
Train Travel, 32, 76
Trapezoid Trap,
37,80Triangular Tower, 59,91
Tricky Tide, 14,69
Trip Times, 21-22, 71
True or False?, 17,
70Trying Triangles, 27, 74
Vive Ie Flag, 50, 87
What's Next?, 26, 74
Who's That?, 10,67
Winning Slip, 56, 89
Page key: puzzle,
answer.95
About
the AuthorMichael DiSpezio has always had a fondness for integrating
learning with creativity, critical thinking, and performance.
After tiring of "counting hairs on copepods,"
Michael traded the marine science laboratory for the classroom.
Over the years, he has taught physics, chemistry,
mathematics, and rock 'n' roll musical theater. During his
classroom years, Michael co-authored a chemistry book,
which launched his writing career.
To date, Michael is the author of
Critical Thinking Puzzles(Sterling) as well as eighteen science textbooks, a producer
of several educational videos, and a creator of hundreds of
supplementary products and science education articles.
His most recent science education project was authoring
The Science of HIV,
National Association of Science Teachers.
Michael's expertise in both video and science education
has resulted in several trips to train counterparts in the
.Middle East. When he isn't presenting workshops for science
teachers, Michael is at home writing, creating, and
puzzle solving.
a teaching package published by the96WWW.NIIT.COMhis life as a boy, one-fifth as a youth, one-third as a
man, and spent the last 13 years as an elderly gent.
How old was he when he died?
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