By MENSA Mem b er s an d rni gmasig P uzzle Compil ers
PHIUPJ CARTER KEN RUSSELL
'
Als o in Orient Paperbacks
A Men s a Bo ok of Logi c Pu zzl es /A lan War eh am A Men s a Book of Brain Te as er s /A l an War eh am World's Most Baffling Puzzles/Charles Barry Townsend The World's Best Puzzles/Charles Barry Townsend The World's Most Challenging Puzzles/Charles Barry Townsend Puzzles to Puzzle You/Shakuntala Devi More Puzzles to Puzzle You/Shakuntala Devi Figuring: The Joy of Numbers/Shakuntala Devi
FI RST M ENSA PUZZLE BOOK
By MENSA Members and Enigmasig Puzzle Compilers
Phil ip J Carter Ken Russell
ORIENT PAPERBACKS A Divisi on of Vision Bo oks Pvt Ltd New Delhi • Bombay • Hyderabad
Al l Righ ts Reser ved . No par t o f t hi s p ublication may be rep roduced , stored in a retrieval system, or transmitted, in any form or by any mean s, electronic, mechanical, photoc opyin g, recording, orot herw is e, without the prior permission of the copyright owners.
ISB N-81 -222-01 61 -X 1st Published in Orient Paperbacks 1994 2nd Printing 1996 A
Fir st
Mens a
Puzzl e
Bo ok
© Text Philip Carter & Ken Russel © Illustrations Ward Lock Limited Published in arrangement with Cassell pic. England Published by Orient Paperbacks (A Division of Vision Books Pvt. Ltd.) Madarsa Road, Kashmere Gate, Delhi-110 006 Printed in India at Kay Kay Printers, Delhi-110 007 Cover Printed at Ravindra Printing Press, Delhi-110 006
C O N T E N T S
Acknowledgements 9 About Mensa 11 Mensa Selection Procedure 13 How to get the most out of this book 15 1. All Different * * 18
IS. Connections * * 26
2. Weather Spells * * 18
16. Matehplay * 27
3. Cubes** 19
17. Triangles I * 27
4. Magic Word Square * * 19
18. Emgmagram I * 28
5. Letter Search * * 20
19. Space Rebus * 29
6. Door Numbers * 21
20. Mnemonic * 29
7. Cipher * * * 21
21. Magic Square * * * 3 0
8. Double-Barrelled * 22
*
9. The Gallopers I * * 22 10. The Square Boggle * * * 23
22. Cryptic Note * 30 23. Volkswagen Wheels * 31 24. Roll Around** 31
11. Conundrum * 23
25. Shaggy Dog Rebus * 32
12. Diamond Crossword * * 24
26. Hiring a Bus * * 32
13. Heads and Tails * 25
27. Enigmagram II * * 33
14. Speed Merchant * * 25
28. Heart Location * 34
29. What's in the Bottle ? * 34
49. See-Through Words * * 46
30. Corner Cutting I * * 35
50. Fair Shares * * 47
31. Maze * * 35
51. Magic Word Square * * 47
32. String of Beads * * 36
52. Disordered Sports * * 48
33. Grandma's Tea * * 37
53. Connections * * * 48
34. Magic Square * * 37
54. Enigmagram IV * * 49
35. Twins * 38
55. Number Plate * * 50
36. Definitive Rebus * * 39
56. Spider's Web * * 50
37. Letters * 39
57. Empire State * # 51
38. Diamond Crossword * * 40
58. Middles * * 51
39. Triangles II * * * 41
59. Swap Round * * 52
40. Dice I * * 41
60. Letter Maze * * * 52
41. Numbers * * 42
61. Boys' Names * * * 53
42. Corner Cutting II * 42
62. Missing Letters * 53
43. Catchpenny * * 43
63. Triangles II I * * * 53
44. The Gallopers II * * 43
64. Hole Numbers * * * 54
45. Cryptophone * * * 44
65. Forest Man Rebus * * 54
46. Enigmagram III * 45
66. Noughts and Crosses * * * 55
47. Arthurian Rebus • 46
67. Octagon * 55
48. Wave Word * 46
68. Notable Rebus # * 56
89. V***66
69. Scales * * * 56 70. Centre of Gravity * * * 56
90. Annie Oakley Rebus * * 66
71. Mozart Rebus * * 57
91. Magic Square * * * 6 7
72. Temperature * * * 57
92. Figure Facts * * * 67
73. Royal Rebus * 58
93. Square Count # * * 68
74. Hexagon * * * 58
94. Cannon Balls * * 68
75. Dice I I * * 59
95. Sphrynidae Rebus * * 69
76. Pyramid Selling * * 59
96. Symbols * * * 69
77. Matches*** 60
97. Country Rebus*** 70
78.66 Rebus * 60
98. Birds * * * 70
79. Girls' Names * * * 61
99. Heptagon * * * 71
80. Playing Cards * * 61
100. Trees I * 71
81. Birds and Beasts * 62
101. Telescope * 72
82. Square Cut * * * 62
m
102. Broom Boom Rebus * * 72
83. Knockout Rebus * * 63
103. Alphabet X-Word * * * 73
84. Rope Ladder * 63
104. Baseball Rebus * * 73
85. Number Magic Square * * * 64
105. Newspaper * * * 74
86. Hour Glass Figure * 64
106. Cards * * 74
87. Crocodile * * * 65
107. Tiles * 75 108. Hanging Rebus * * 75
88. Squaie up **,65
109. Routes * 76
120. Trees I I * * * 81
110. Drink Up * 76
121. Flags I * * 82
111. Dice I I I * 77
122. Numbers 4 Letters * * * 82
112. Alphametics * * 77
123. Unlucky for Some* 83
113. Pyramid * * 78
124. Steps * * 83
114. Optician * 78
125. Target * * * 84
115. Animals * * * 7 9
126. Bricks * * 84
116. Rodent Rebus * * 7 9
127. Flags I I * * 85
117. Clock * 80
128. Shop * 85
118. Roulette * * 80
129. Coins * * 86
119. Golden Spelling * * 81
130. Eastern Rebus * * * 86
Answers 87
ACK
NOWL
E DGEM
E NT S
This book is dedicated toour wives, both named Barbara, w ho have encouragedus to compile new and interesting puzzles, and have checked all of the answers. We also wish to acknowledge the continued supportgiven to us by Victor Serebriakoff, the International Honorary President of Mensa, who is a great puzzle innovator. We are also indebted to Harold Gale, the Mensa Chief Executive (another prolific puzzler) and we wish to thank the members of the British Mensa Committee who gave permission for the use of the Mensa name. Note: All references to Mensa relate to British Mensa Ltd.
9
A B O (I I
M E N SA
Mensa is more than just puzzles. Contrary as this may seem to the popular opinion that Mensa is a group of intelligent people who set and solve puzzles, Mensa is an international society of the some of the most intelligent people in the world. Founded in Oxford in England in 1946, it today has a worldwide membership of 1,10,000 in 110 countries and with 28 national chapters operating around the world, including India. Mensa is an organisation for the high IQ people. Neither money, profession, power, political pressure, nor social status will get you in. Brain power will. The only qualification for membership of Mensa is a score that is within the upper two percent of the general population, measured on an approved, supervised intelligence test. This test is the only way to get Mensa membership. Mensa was a brain child of Prof Sir Cyril Burt, who first suggested the idea of a society for intelligent people in broadcast in 1946. In October the same year the society was officially born and christened Mensa, a Latin word for table, symbolising a 'round table' where members could meet and exchange views as equals. Sir Cyril Burt was its first President. The aims of Mensa were to identify and foster human intelligence for the benefit of humanity; to encourage research into the nature, characteristics and uses of intelligence; to provide a stimulating intellectual and social environment for its members. Mensans, as Mensa members are called, vary in occupation from taxi drivers to businessmen, from secretaries to school teachers, from doctors and artists to students and housewives.
11
They range from the unemployed to the wealthy, and their philosophies from the ultra conservatives to the super liberals, What the,y do have in common is a high intelligence quotient (IQ).
12
\ 1I- :\ SA SK I .I X I I ON I 'K OC'K DIJ K K
Mensa is the international society for the high-IQ people. To join you must pass in intelligence test scoring an IQ of 148 or more, on the Cattell scale, which would place you in the top 2% of the world population. World membership is currently over 110,000 and includes people from all walks of life. There are many members who are still in school or colleges, from 11 years to 21 years old, for whom this book is specially written. If you can answer some of these puzzles, you are then a potential Mensa candidate.
13
HOW TO GET THE MOST OUT OF THIS BOOK
The puzzles are starred *
moderate
* *
fairly difficult
* * *
difficult
You can of course work through these puzzles on your own; but if you want to take on your friends, give the questions a points value of one, two and three according to the starring system. Then use the contents page to select the degree of difficulty you want to tackle and take it in turns to answer the questions you like the sound of. The first to score, say, ten, fifteen, or twenty points is the winner. Each puzzle has two numbers alongside it, one being the answer number. The answers are given in a different order to the questions, so that you should not accidentally see the answer to an adjacent puzzle not yet attempted.
15
Questions
1* *
I
All Different Complete the grid using only the five symbols shown in the top line so
0oA
O
that the same two symbols do not appear in any horizontal, vertical or diagonal line.
With such an unusual mixture of different types of weather around the British isles the weather chart is looking mighty peculiar today. Can you unscramble the nine anagrams to find the varying types of climatic conditions which we are experiencing?
18
| FAT SCOHFI REACH RUIN
Can you tell, just by studying them, how many of the following can be folded to form a cube?
Magic Wor d Square Each line of the verse gives a clue to a fourletter word which should be in thewo'ds giid. Theinserted four correct will produce a 4x4 magic square where the same words can be read both across and down.
1
2
3
4
2
3
f
My first is to make a present of, My second is the plan, My third is to change direction, And my fourth's a noble man.
19
1• •
1
Letter Search
1
Q
G
M
D
H
B
V
Y
T
X
K
A
R
0
N
E
U
L
F
W
S
P
J
C
1 What letter comes just after the letter just above the letter E? 2 What letter comes midway between the letters just after the letters A and W? 3 What letter comes just below the letter just before the letter just below the letter R? 4 Whatthe letter comes just abovejust theunder letter,the justletter above the comes letter just before letter which comes which midway between the letters N and F? 5 What letter comes just after the letter which comes just below the letter which comes just after the letter which comes just above the letter which comes just after the letter which comes midway between the letters I and A? 6 What letter comes just above the letter which comes just after the letter which comes just after the letter which comes midway between the letters which come just before the letter K and just after the letter S?
20
Door Numbers With the three metal door numbers below, how many different three digit numbers can be produced?
316 You have been left a message cipher by one of your friends. Can you crack the code and read theinmessage?
62 5, 00 5, 21 2, 88 4,
569 , 555,
V
725,
616,3
11,
333 , 3 1 3 , 2 2 4 , 7 4 9
I
qs
I
Mjjj^^EElflffl^^B
What word can be placed in front of the five
The name given to this puzzle is the old fairground name for the roundabout on horses. Complete the word in each column - they all end in G. The scrambled letters in the section to the right of each column are an anagram of a word: that word will give a clue to the word you are trying to find to fit
A N
x^T X/i //
\
\
/° x \o Q G A ^ X X £ -J. \ o __ or \ A / / V cci i r G 1 1 1 1 ll/ \ k \ A^
1 \ -
\aY ^
^
o o d
22
gy
1***1
QIO
The Square Bo gg le
A 107
A square number is the result when the same two numbers are multiplied together. For example361 is a square-number because 19x19 = 361. The first few square numbers are 1(1x1), 4(2x2), 9(3x3), 16 (4x4), 25(5x5) so on. In the what is the square numberand which cannot be grid readbelow, Boggle style, thatsmallest is by starling anywhere you wish and moving horizontally, vertically or diagonally? Squares can be used as many times as you wish, but only once in the same number.
8
3
2
1
0
9
4
3
1
6
5
2
3
0
6 1
0 9
4 0
4 8
7 6
2 6
3 9
2
8
1
5
7
1
4
2
1
2
2
4
3
2
6
0
4
4
0
8
1
• * •
Conundrum
23
1**
I
Diamond Crossword
s
Clues:
Across: 2. An electrically charged atom 3. To pry into the private business of others 4. An imaginary beast 5. To die away 6. This colour means marching orders for a soccerplayer Down: 1. The male of the domesticfowl 2. One of the red rings on an archery target 3. To dip or soak food in aliquid 7. Recorded for future reference 8. For each
24
Position the three coins in such a way that two heads are completely to the right of the line and two tails are completely to the left.
©© | * * l
Speed Merchant An insane skateboarder travels at a speed of 60mph from A to B and then returns from B to A over the same route and distance at a speed of 30mph. What is the average speed for the total journey?
25
1* *
Q15
|
Connections
A46
Insert the numbers 1 to 9 in the circles. So that for any particular circle the sum of the numbers in the circles connected directly to it equals the value corresponding to the number in that circle, as given in the list below. For example: 1=14(4+7+3) 4=8 (7+1) 7=5 (4+1) 3=1
26
All
b) Add five matches to make nine.
1 I
How many triangles can you find in this diagram?
27
s
T R E A M
t
L
0 C
s u E
EDUCATION*
0 s H
T
C
0 «- 4 E
R
4 D E
R
G
E
4 4 4 4 4 4 4 4
The four 6-letterterms words have been jumbled. theletters four anagrams of educational and then transfer the Solve arrowed to the key anagram to find a fifth educational term.
28
SpaceRebus
J ^ f l
What phrase is represented below?
The rhyme shown on my computer screen is a mnemonic device to enable me to remember the combination of my safe. What is the number? r ;
FIGURE OUT UNITS REVEALED, FROM OUTPUT UNAIDED RESOL VE NUMBERS IMPLIED NOT EXPRESSIVE. FANTASTIC IN VE RS E EV OL VE
\
29
|
Magic Square
Q21
A115
In each square are four letters. Your task is to cross out three letters in each square to leave a 5x5 magic word square where the same five words can be read both across and down. A
(0
Q
S
T
U
L
R
E
L
M K
M
0
1
S T
1
T
U
L
A
E
N V A
A R
O
M E
P G
1
1 R
C E
S
L
1
0
A
E
F
E
1 R i. — U . i
N
O
E G
V G
C R
L
R
R
V
R
C
E
T
N
P
1 R
A A C F
E L
S R N P
E T
K S
A
E
K
E R
t-
-1
S
C
E
D E
Q22
A
1 1 1
R
-QJ-
Cryptic Note
What is the purpose of this notice?
30
E
In each of the following find an eight-letter word reading clockwise. You have to provide the missing letters. y \ L
In
o A / R \ / \ i J
\ J *
*
Roll Ar ound Nine white discs are placed in a complete circular chain and a black disc is rolled aroundthe chain once completely so that it touches each white disc once on its journey. All ten discs are identical in size.
Can you answer the following? a) How many rotations will the relling black disc havemade by the time it has travelled completely round the outside of the chain? b) Would the shape of the chain affect your answer providing the black disc was still able to touch each white disc? c) If the black disc is rplled round the inside of the chain how many rotations will it make?
31
Shaggy Dog Rebus What phrase is represented here?
IMI!Vtlf| O The cost of hiring the bus was shared equally by everyone who went on the outing. The bus was a twenty-seater and the bill came to 49 dollars and twenty seven cents. How many empty seats were there?
32
Enigmagram II
L M
1 F T E R
t
t t
0
0 G N A M
T
4-
-¥
FOOD
T
4 E C S E
0
4
P A
E H
KEY ANAGRAM
4 4 4 4 4 4 4 4
The four 6-letter words have been'jumbled. Solve the four anagrams - all types of food - and then transfer the arrowed letters to the key anagram to find a fifth food.
33
What woitl can be placed in front of the five words shown to form, in each case, another i word? 1
c
L
A
N
s
P
U
s
m
w Is
The contents of the bottle are not what you might think according to the label. What does it really contain?
34
1 C 0
R
T
E
K
a| d
-I * *
I-
Draw this figure in one continuous line without anywhere crossing a line or going over any part of a line twice.-
Enter the maze at the top left hand square and escape to the bottom right by moving from square to square horizontally, vertically and diagonally and visiting every square once only to spell out a phrase.
ENTER-
r" L
•
U
T
F
E
o
O
H
'S
T
T
E
G
E
R E!-
35
EXIT
m
Q32
n
j j j ^ RJ f t FTi J B ^ M
My sister hSs a string of beads. I have noted that each time she wears them she alters the position of the beads, and, being methodical, she does so in a logical sequence. This is how she has worn them on the first three occasions:
From the choice below, what should be the position of the beads the next time she wears them?
36
Sunday tea had ended in uproar because someone had put saltin grandma's tea, and father was interrogating his three sons to try to find the culprit. "I'll get to the bottom of this" he said and pinned up one statement from each of his sons, who together admitted that at least one of the statements was true and at least one was false. From this information can you work out who did put the salt in grandma's tea?
ALAN "BARRY DID NOT PUT SALT IN GRANDMA'S TEA"
COLIN
BARRY "I DID NOT PUT SALT IN GRANDMAS TEA"
1 5$C
1
"I DID PUT SALT IN GRANDMA'S TEA"
H H H M HH
Magic Square The numbers already inserted form a magic 3x3 number square where each horizontal, vertical and corner-to-comer line totals 39. Your task is to insert the remaining numbers from 1-25 which have not already been used up in the centre so that each horizontal, vertical and corner to coiner line totals 65 in the 5x5 square.
16 9 14
11 13 15 12 17 10
37
-I
*
1
i
bm
Q35
Someone is missing fromthe above group. From the choice below who is the one you would chooseto join them?
KEN
SUE
AL LA N
38
J EAN
PAT
1*»
Q36
I
Definitive Rebus
A10
What phrase is represented by the following?
What word can be placed in front of the five words shown to form, in each case, another word9
A
G
E
C
A
R
M M
AA
S C R
39
oc
D T1
I
D rf
t
P
T
J sk sfc L
Q38 i 2
7
3
8
S 6
Clues
Across: 2. End of the cue 3. What exams have to be if you fail them 4. Large house 5. Sharp end 6. Decay Down: 1. A specific task or duty 2. Male singing voice 3. Talking instead of singing - a hit! 7. Emulsion 8. Very small child
40
Triangles How many triangles are there in this pattern?
Here are shown four views of an opened-out dice, but only one of the four is correct. Can you say which one it is without looking at the real thing 7 • •
•
•
•
•
•
•
•
41
•
Study the numbers in the circles and try to work out how the number in the middle of each circle has been arrived at. Then work out the missing number in the bottom circle
Corner Cutting II Draw the figure in one continuous line without anywhere crossing a line or going over any part of a line twice
42
Change the pos^on of one counter only to produce two straight rows with three counters each row.
in
Complete the word in each colu mn - they all end in G. The scr ambl ed letters in the section to the nght of each column are an anagram of a word: that word will give .i cine to the wo rd yo u aro tryin g to find to fit in th e column
43
Cryptophone Can you decipher the coded quotation below the dial? Each number represents one of th e letters sh own with it on the telephone dial. number does not necessarily represent the same letter each time.
15 567 353 77 37 1 51 5 835 771 677 1 1657 7856 2
679942
8373
1 25757135 6 2 5 .
44
A
Enigmagram III
Q46
L T
s c
0
R
A 95
1 A
«"T T
S T
OCCUPATIONS
0
Y
R
T
N E
1 P
4
4
p R E R 0
T
KEY A N A G RAM
4 4 4 4 4 4 4 4
The four 6-letter words have been jumbled. Solve the four anagrams of occupations and then transfer the arrowed letters to the key anagram to find a fifth occupation.
45
— c o —
Q47
Arthurian Rebus
A12
What phrase is represented here? 1 1
-COWhat word can be placed in front of the five words shown to form, in each case, another word7
HI I
o| N S
i •
1
r
T
0
N E
R A
N
T
-
. Q49
A76
See-Through Words
In each of the following find an eight-letter word reading clockwise. You have to provide the missing letters.
/ \
/C
T
I
\
I
/
/
c
i1
V L 46
U J X
(
\r
\
/ \ s D
1
1
J
E J X
» <
soft
A man has four so-^s who are all Keen gardeners. How can he divide his
50ft
garden up into tour equal plots of identical size ana shape 9
MpBMNH
—4 * *
•
1
•
• ^H
Magic Word Squ are
A 5 x 5 magic word square is one in whicn the same five words can be read b oth horizontally and vertically, as in the exa mpl e on the right.
1
R
A
T
E
R
A
V
E
N
A
V
E
R
T
From the choice given beiow can you find the five words which, when placed correctly
T
E
R
S
E
E
N
T
E
R
7
in the grid, will form another magic square
BRACE RESTS EVENT RURAL ELATE PIPES REBEL PAPER A B EA M A L IVE
47
Disordered Sports A computer was programmed to print out a list of sporting events, but something went wrong and it printed out the twenty-four words given below. When these words are placed together correctly they will 7
give you ten sports. Can you find them BALL WATER ICE ON NET BY TEN GREY FOOT SKIING PIN WRESTLING RACING ALL HOUND BOWLING SKATING RUG MINT HOCKEY IN BAD BALL ICE
Insert the numbers 1 to 9 in the circles. So that for any particular circle the sum of the numbers in the circles connected directly to it equals the value corresponding to the number in that circle, as given in the list below. For example: 1 = 7 (4+3) 4 = 11 (1+7+3) 3 = 5(4+1) 7=4
1 =19 6 = 12 2 = 11 7 = 17 3=4 8=5 4 = 19 9 = 12 5 = 10
48
————^-
—
K
Enigmagram IV
^
H
L T N
|
.....—
S
u
t
t
A106
R A W P R
A NIMA L S
K
O
T
- *
1 E
4 Y
0
4
G E H
D E N K i
KEY A N AGF r -> n
4 4 4 4 4
The four 6-letter words have been jumbled. Solve the four anagrams of animals and then transfer the arrowed letters to find a fifth animal.
49
tothe ke y an ag ra m
1 * *
Q55
|
Number Plate
A39
The following car licence plate is incomplete...
ROY GB I
To complete the number plate choose one of the following letters:
T,U,V,W)X,Y,Z.
Insert the vowels provided into the missing segments so that each column forms a six-letter word ending in 'E'. In the first column the word is 'icicle' which has already been filled in and the vowels crossed off the list.
1 0 U 0 U Jr 0 U E E E A E
50
1 1 1 1
0 0 0 0
U u u u
A0
The Empire State Building in New York is 225 m et re s high pl us half its own height. How high is the
00 •a
9
Empire State Building
uDona DO ODD •• •• •D O • • • •• • • ODOODDD
0000000 •• •• 00 0
••nOODD • • • •• • • OODODOa
Can you find the three-letter words which when inserted into the middle sections, form another word when tacked onto the first word and a further word when placed in front of the se cond word? For example: Answer: OUT
DUG LAW to form thewords D UG OU T and O UT LA W
| CA N
ICE
| TIN
A SH
|
| WA S
MIT
|
| FAT
A NT
|
| IMP
MAN
|
TIP
CAP
| ANY
LAY
|
|SUN
51
!
TEE
|
Each square contains a predictable pattern.
a circle, a square a nd a dot which are moving
• •o • 1
o on
ir
•
®
2
3
•
4
From the choice below, select the next square. •
O I
• •o
•
A
B
C
a D
* * *
Letter-Maze By starting somewhere in the letter- maze belo w, an d movin g one let ter at a ti me ( mo vi ng left, righ t, up or down) it is possible to spell out the names of fou rte en different ki nds of sport. It doe s not mat ter which sport you first identify, provided you make the right turnings the names will eventually lead you through the whole pattern of one hundred letters. E B R I C K E Y M N S A B E R S Y C 0
A L G S W W E K H:
52
C L N T G I M I S
N I T u L C ID C Y 0 R L NIC U N I T A T M I K S NiN G F N E IT H
G J I L
G G N I I 0 !L G O
S T S B M N L A
A I C A ;D iF iO 0 B T
* * *
Boys' Names Hidden in the grid are 12 boys' names. They can be found in any direction but always in a straight line. Letters can be used more than once. T R E V 0 R
0 S T E V E
M N E K I G
M A X N C G
Y S S 0 R I
G E 0 R G E
Missing Letters Place the letters form two words.
in the grid to
CDRRSSSW
How many triangles are there in this patt ern''
53
1***1
Q64
Hole Numbers
A116
A man digs a hole in 6 hours, another man can dig the same size hole in 3 hours, a third man takes 4 hours and another takes 5 hours. If they all worked together at their respe ctiv e spe eds , an d didn't get in each other's way, how long would it take to dig that hole ?
This picture represents the name
of an animal. Ca n you dis cov er it?
54
* * *
Nought s and Cross es How can you win in 7 dif ferent way s if you go first in the top left -hand corner? That's assuming of cour se your oppone nt convenient ly picks all the wrong squares!
7
There are two numbers that will fill the gap. What are they
55
1
% 1
^^^ ^^^ ^^^^ ^^
Notable Rebus This picture represents
a profession. Can you find
it?
- I * »-----,—
Scales What weight would be needed to balance the scales
A
Ibsl
W
7
7'
5'
1*53-
Centre of Gravity of gravity of this meta l plat e?
Where would you find the centre
A.BorC?
4 cm
C •
B •— • A
-1 ocm-
56
This picture represents a musical term. Can you discover it?
< r SJ
r l i l i [Dlfjlji
At which temperature does the Fahrenheit scale equal the Centigrade (Celsius) scale 7 (to convert from Centigrade to Fahrenheit, multiply by 9, divide by 5 then add 32.) 100 -c 212-F
57
This picture represents a now obsolete British coin. Can you discover it?
Fit the following wordsinto the six spaces encircling an appropriate number on the diagram so that each word correctly interlinks with the two words on either side (you will see that each word has two consecutive letters in common with the word on its side). (Note: to arrive at the correct solution some words will have to be entered clockwise and some anti-clockwise.) Four words have been entered to start you off. ROTUND PANZER CAPERS SHROUD ORDERS ASHCAN TOUCAN ERASES SAPPER ANTLER PAM P AS SECTOR
58
Q75
A26
Dice II
What are the chances of scoring 9 with 2 dice
9
Triangular numbers are numbers which can be arranged in a triangle, such as the first 5 shown here. Count up the number of points within each triangle and you will see that they equal 3,6,10,15, etc.
59
1»-i< * I
^
^ ^ Q H
Matches
Rearrangethe 9 matches without breaking make three squares. • I
or bend ing t hem so as t o
• •
66 Rebus This picture represents
a mathematical term. Can you find
60
it?
A126 Hidden in the grid are 11 girts' names. They can be found in any direction but always in astrai ght line. Letter s can be use d mo re
p H A R 0 N
m
What are the chances cards?
E E N E J 0
T A G 0 U S
U S Y G D 1
L 1 L L Y L
A L T H E A
Playing Cards of picking an ace from
61
a pack of 52 playi ng
Birds and Bea sts In Peru there is a sign provided to help foreign visitors, which reads:
TOTI EMU LESTO n r
What does it mean
7
A square 13 in x 13 in (=169 sq. ins) is broke n into 4 pieces and the pieces are rearranged into a rectangle 21 in x 8 in (=168 sq. ins). Where is the missing square inch?
1
13
8
8
1 3
62
3
This picture represents a boxing term. Can you find it
9
The rungs of the ladder on the side of the ship are 11 in apart; the tide raises the level of the water in the dock basin by 6ft. How many rungs will be covered by the water 7
63
m m
Q85
A79
Place the odd numbers in the grid so that all lines including the corner to corner lines add up to 34.
1 6
2 10
8
6
12
4
1 J
14
3 4 5 S 7 8 9 4Q
What number should fill the space
7
1145
1344
15
4&
H
1&^
^
^
—
Crocodile
— —
w
u
m
|
J Q ^
The crocodile's tail measures 10ft, his body measures 11 ft and his head is one fifth of his total length. What is the length of the crocodile?
Square numbers are numbers which can be arranged in a square, such a sthe firs t five numb ers arr ang ed below, (count the num be r of points included in eac h squa re, with point 1 always asthe bot tom lefthand corner).
25 16 9 4 1 What istrie 12th nu mb er
65
Start each word with the central V. Each wo rd consis ts of 7 letters which go from square to square in any direction, hor izont ally, vertically or diagonally. Apart from the central V, each letter is us ed on ce only. Find the eight 7-letter words.
G E
E
G E
R Y
L
A
N T
A
C 0
0
L
1
1
1
D
A
N
L
0
V
E
R
N
A
C E
A
E
R T
1
T
S
R
1
T
1
G E S
U
0
0
G
* *
Annie Oakley Rebus This picture represents an astronomical term. Can you find
66
if
Words read the same across and down. Place the letters in the square to complete the grid. The vowels have been placed for you.
A AC& &&& WL L L NNPPRSSSSTTTT
The factorial of a number is expressed as follows:
6! Which means the number multiplied by every number below
it:
6! = 6x 5x 4x 3x 2x 1= 720 7! = 7x 6x 5x 4x 3x 2x 1= 5040 What is the v alu e of:
10!
67
1***1
Q93
Square Count
A4
How many squares are there in this figure?
Cannon balls are stacked
in the shape of athr ee-s ided pyramid.
How many cannon balls in this pile
7
68
1 * * r r u
|
Sphrynidae Rebus
This picture represents a marauder of the deep. Can you discover it?
Divide the square into 4 equal pieces of the same sh ape, e ach piece to include one of each of th e 4 symbols.
69
Country Rebus Three words are represented here. They all end in 'A' Can you find them?
Hidden in the grid are direction but always once. H S U R H T
the names of 10 birds. They can be found in any in a straight line. Letters can be use d mor e than
N W R E N E
W 1 K 1 N N
0 T B R 0 N
R 1 E 0 A 1
C T L C R L
70
Arrange the 14 three-letter bits to make 7 six-letter words.
QlOO Hidden in the grid are the names of 10 trees. They can be found in any direction once. but always in a straight line. Letters can be used more than
w p 1 L U T
1 E L M U L
L A K N K E
L R L A R Z
0 A S H 0 A
W B 1 R C H
71
Telescope
M B
The makers of this telesco pe hav e called it the 'MOO N-ST ARER ' why is the name doubly appropriate for the kind of person who might use it.
*
*
Broom Boom Rebus This picture represents
a type of boat. Ca n you dis cov er it?
72
* * *
Alphabet X-Word Using all 26 letters ofthe alphabet, com plet e th e cros swor d.
P
Q
J V
N
H
Y
Z
•
K X
A B C D E F G+f l x J ' K ' L M H O W J 3 R S T U- VW XY -a T
Q104 This picture represents
the name of a bird. Can you discover it?
73
* * *
Newspaper
QIGS
T!il- :
:: \r.
| 5S A boy found 2 sheets of a newspaper. One sh ee t wa s nu mb er ed 1 - 2 - 7 1 - 7 2 the other was numbered 13 -14 -7 -7 The other two numbers had been torn off. What were they
7
Q106 14 11 11
7
11
20
16
8
9
7
What number should appear on the last card
74
15
Q107 Which letter and number should be on the last tile?
B_
G
7
11
Q
15
19
? 9
Q108 This picture represents a piece of jewellery. Can you discover it?
75
Q109
Routes
a traveller get from
How many different ways can going backwards) 7
A to B (without
Drink UP
B l f f i ]
CANNOT WATER
A BUT
DRINK
CAN
MAKE HORSE
YOU
LEAD
HIM
This old saying has been mixed up. Can you rearrange
76
YOU TO
it correctly
7
What is the total of the numbers on the reverse of these three standard dice?
This type of puzzle was known in ancient China, in which numbers have been changed into letters. Sol ve this one.
•
77
Q113
Visit each room Clue: Hiding place
Q114
in the p yramid once to spel! out a n ne-lerter wor d for a mummy's offsDnng7 (the word is hyphenated)
Optician is the odd one ou t
On the optician's chart, which letter
78
7
1 -!' * -I: 1
Animals
TEACHEH LUGSALE LOGLIAR LEGLAZE PEARDOL is n ot a mammal.
Re-arrange the letters and find the word which
Q116 ananima l. C an you disc over it?
This picture represents
1
/C r a 11
-
?
|FREEZER I
'
A
"
••v Vf • • (Clue: Fur!)
79
Q117
This clock
Clock
A 98
is being vi ewed in a mirror. Wh at is the correct
A man bets on no . 2 0 on a roulette wheel 10 times loses each time.
ti me
7
in succ essi on, an d
On the 11th spin he cannot decide wheth er to bet on 2 0 or change to 10. Which will give him the best chance? If h e does bet on 2 0 again what are the odds
of winning?
(There is no zero onthis wheel , just the numb er s 1 to 36.)
80
1* * 1
Golden Spelling During a spelling test the teacher asked the class ing words:
to spell the follow-
DEBT DISCUS DEBUT PNEUMONIA PSALM
He was trying to tes t som ethin g com mon to all the w ord s, but bei ng a bad speller himself, he wrongly included DISCUS. Why was this incorrect?
81
UNSHOD CANOE
What connects these three flags
9
J * * *
Numbers 4 Letters The teacher wrote this sum on the blackb oard. At first glance it looked to be incorrect, bu t if you substitute numbers for letters, the sum makes sense.
7
What numbers should replace the letters
82
^
[
|
^
Unlucky for Some We ail know that one plus twelve = thirteen. Using the letters in ONE TWELVE can you find two more numbers which, when added together make thirteen 7
13 Q124
-G53Steps
Can you change MALE to LASS in four steps c han gin g on e letter a time and making a new word each time?
83
at
A c h i l d h a d ar r an g ed his bricks to spell a message to his nanny. There is a strange feature about this sentence. What is it?
84
Using all the letters on the flags can you find name for ship?
What is unus ual abo ut the nam e of this Greek baker 's sho p?
85
Q129
A coin is in a fixed position and another coin is rolled right around the edge of it. How many times will the moving coin revolve?
Q130 Thi s pic tur e rep res ent s a capita l city whi ch on e?
86
Ans w ers
Magic Squafe
s p L 1 T
P L A N E
L A C E 3
1 N E R T
>}!>> •
AD
Temperature
-40° as...
T E S T S
Centigra de: -40° x 9/5+ 32° = -4 0° F Fahrenheit: (-40°-32°)x5/9 = -40°C
Trees I WILLOW, WALNUT, TULIP, BIRCH, HAZEL, PEAR, ELM, CORK, ASH, OAK
Matches
Cannon Balls 20
Crocodile
Centre of Gravity
HtKira
Sorry!... the best way to do this one Is by algebra Let x=total length then x=11+10+1/5* Therefore x-1/5x=11+10 4/5x=21 x-26.25fe3t (The head is 5.25 ft long).
Definitive Rebus The long and the short of it.
Cards Square Count
8, the numbers on each card add up to 29.
45
Arthurian Rebus Newspaper
Long ago
59,60
89
Empire State
7 •
A IK
String of Beads
B. Each time she wears them she swaps the position of one round bead with one square bead in strict rotation.
450 metres.
Maze LET'S GET OUT OF HERE!
Alphametics 91 +10
101
Tiles V, (jump 5 letters each time) and 23, (jump 4 numbers each time).
Animals CHEETAH
I Hour Glass Figures
SEAGULL GORILLA
6. Multiply the two numbers inside the hour glass ie 24 x 2 = 48. The two numbers outside the hour glass should also make 48 when multiplied ie 8 x £.
GAZELLE LEOPARD.
Twenty. One suggested method of arriving at the answer is to number the separate sections 1-10. Triangles are then formed by the following sections:
90
1 1-2 1-2-4 1-2-4-10 2-3-4-5-9-10
A 2«
3 3-2 3-5-9 7-8-9-10 4-5-6-8-9-10 6
1-1 1-2 1-3 1-4 1-5 1-6 4 in
4-5-6 S6-8-9
7 7-8 7-8-9 2-3-4-5 65 3-5
^ ^ ^
[Z
Dice II
2-1 3-1 2-2 3-2 2-3 3-3 2-4 3-4 2-5 3-5 2-6 3-6 36 or 8 to 1
•
4-1 5-1 4-2 5-2 4-3 5-3 4-4 5-4 4-5 5-5 4-6 56 against.
(i7f>
6-1 6-2 6-3 6-4 6-5 66
Hi r i n g a B u s
7. Because it's $49.27- ie an odd number at the end there must be an odd number of people on the bus. Then it's a question of seeing which number will divide exactly into 4927 - 19 ,1 7 and 15 won't. 13 will. Heart Location
Home
n
w
36. The number in the middle is arrived at by multiplying together the other four numbers: 0 x 3 x 0 x 3 = 0 2 x 2 x 3 x 5 = 60 2 x 3 x 2 x 3 = 36
Dr i n k U p
You can lead a horse to water, but you cannot make him drink
V
VICEROY VERDANT
QKtt
•
A 2»
Roll Around
A) 5 B) No C ) 1 try it with ten identical coins
VERTIGO VARIOUS VESTIGE
Golden Spelling
VOLCANO VILLAGE VINTAGE.
DISCUS because all the other words include silent letters
91
m
Gal lop ers II
• A:;:,
ALARMING (SCARING) LAPWING (PEEWIT) LEARNING (TUITION) OBLIGING (AGREEABLE) PRANG (CRASH) EARWIG (INSECT) RISING (REBELLION) SLOG (TRUDGE)
AGOG (EAGER) LONG (LENGTHY) LIVING (ALIVE) OBLONG (RECTANGULAR) PARTING (DIVISION) EXACTING (TOUGH)
I Magic Word Square I
p A P E R A L 1 V E P 1 P E S E N T R V E E S T S
AN OPTIMIST IS A MAN WHO STARTS A CROSSWORD PUZZLE WITH A FOUNTAIN PEN.'
Magic Word Square
What happened previously has no effect on future spins, so 20 has exactly the same chance as 10 ie 1 in 36 or 35 to 1
92
Number Plate
i}5f>
|
V. They are the initial letters of the colours of the rainbow, Red, Orange, Yellow, Green, Blue, Indigo, Violet
m
j
Square Cut
Matchplay
vi i
\/ \/
^f ljj j
The Diagonal line is not true, there is a small converging space, which equals 1 square inch. Now that was a really sneaky one I
Birds ROBIN, ROC, THRUSH, CROW, WREN, LARK, LINNET, TERN, TIT, LOON
Target
•
25
50
50
25 25 25 6
31 10 10 5
18 18 10 10
106
106
106
Disordered Sports Connections
FOOTBALL, RUGBY, NETBALL, BADMINTON, ICE HOCKEY, ICE SKATING, WATER SKIING, TEN-PIN BOWLING, ALL-IN WRESTLING, GREYHOUND RACING.
Conundrum My Son.
93
Royal Rebus
U7:i•
Half-Crown.
66 Rebus
52
Letter-Maze
CURLING, GYMNAST ICS. BADMINTON. FOOTBALL GOLF, SKATING, TENNIS. HOCKEY, SWIMMING, WRESTLING, BASEBALL, CRICKET, CYCLING. JUDO
Square Root
12 - the '6' can be turned over and used as a 9' Swap Round
316, 361, 136,163.613.631,319, 391, 139,193,913,931.
C. The dol and the square swap corners each time. The circle visits each corner in turn clockwise.
Triangles HI 13
94
Fair Shares
<(t |
AH.S Noughts and Crosses! Key: Your first go - i
1
1
Your opponents first go - <
House
.--1
Your second gc
•
etc
2
3
2
3
3
2 4] t
® O iLl © © (J@
;4 l 14 i
rt)
QI2 :t •
DAM-AS-CUS
a (3;
© «1
•
\H(
Knockout Rebus
Counter-punch
Q»i
I
TO TIE MULES TO
Eastern Rebus
.3'
1®
TWO and ELEVEN
Birds and Beasts
0
® © @
M, which is made up of 4 lines: all other letters have 3.
lUnlucky For Somel
9
® 9
JL O
1 Optician
O
A«r>
Square up
144
Ql.'tO •
A66
Figure Facts
10' = 10 x9 x8 x7 x6 x5 x4 x3 *2 x 1 =. 3.628,800
Octagon
KfljZH
10 or 2 V2 Each numDer is half or double the number opposite.
95
Q3 7 •
Letters POST
A 71
Middles
CAN-NOT-ICE WAS-HER-MIT IMP-AIR-MAN ANY-WAY-LAY Te le sc op e
TIN-POT-ASH FAT-TEN-ANT TIP-TOE-CAP SUN-SET-TEE
Villi
'MOON-STARER' is an anagram of 'ASTRONOMER'
Twins JEAN - to form three pairs of anagram twins - MAY/AMY, RONALD/
Alans
Barry's
Colin's
Statemen Statement Statement If it
Magic Square
was Alan
TRUE
TRUE
FALSE
If il
21
1
2
22
19
23
16
9
14
3
6
1 1 1 3 15
20
8
12 17 10
18
7
2 5 24
5
4
was Barrv FALSE If it TRUE was Colin
FALSE TRUE
FALSE TRUE
It was Alan who was the culprit. If it had been Barry all statements would be false. If it had been Colin all statements would be true.
Alternatives are possible
Hanging Rebus I Broom Boom Rebus
Diamond Pendant Mine-sweeper
96
ATI)
(/I Ht Chinchilla
16
3
2
13
5
10
1 1
8
9
6
7
1 2
4
1 5 14
Diamond Crossword!
M
1 2
3
Catchpenny
4m s
Pick up any one of the four counters and place it on top of the counter diagonally opposite.
7
T
I
P
Ft
E
S
A
A
N
S
1
0
p
0
1
N
T
R
0
T
•
T N
6
N Corner Cutting I
Alphabet X-Word
T| m B R | A | V E |D |
Q U | N 1 Gi Hi m
z
Y
w®F s[m]o
lx
What's in the Bottle ? Routes
LEMONADE
3x4=12
97
C| K|
Dice III 2=5 4 =3 5^ 2.
gill •
(If you rememb ered that the opposite sides always add up to 7, thi s one 's easy)
V I
Trees II
A WA SP ENTE RED THE POPUL AR CHURC H AS THE p o p e ARRIVED
ASPEN
A88
[Annie Oakley Rebus
(}l)0
Shooting star
LARCH PEAR
Enigmagram III TAILOR CENSOR TYPIST PORTER
Key Anagram: OPTICIA N
| Py ram id Selling
66 Cryptic Note
A«0
Shaggy Dog Rebus
({25
TO OPEN DOOR PUSH
Tall story.
Spider's Web Attl
Rope-Ladder
QKl
None. The ship will rise with the tide!
A92
Dice I
ICICLE, ENCORE, UNTRUE, TOUPEE, POLICE, OBTUSE, UMPIRE, DEDUCE, IODINE, SNOOZE,
C. The opposite sides of dice always add up to seven.
A»:s
25 minutes past one.
Wave Word
Volkswagen Wheels
Original, Reliable
FLAG
98
40 mph, which is calculated as follo ws:
FAT SCORE = FORECAST NO MOONS = MONSOON REACH RUIN = HURRICANE SHE ROWS = SHOWERS HURT NED = THUNDER
say, for example, the distance travelled was 60 m iles, then: (i) The journey from A to B would be 60 mph for 60 miles = 1.0 hour
BIN A ROW = RAINBOW TAN DOOR = TORNADO HOT DRUG = DROUGHT CAR STOVE = OVERCAST
(ii) The journey from B to A would be 30 mph for 60 mites = 2.0 hours 3.0 hours for 120 mites or 40 mph .
A, B and D can be fo lded to fo rm a
CATGUT, DEPORT, CANDID, VORTEX, PARROT, ROBUST
cube
MONGOL
Connections
QO.'i I
A I OH
Enigmagram IV
WALRUS KITTEN GOPHER DONKEY
Key Anag ram: ELEPHANT
The Square Boggle
2704 is the smallest square number which cannot be read boggle style. ^
y
j
En i g m ag r g r n n
j ^
U
TRIFLE GAMMON POTATO CHEESE
Key Anagra m: OMELE TTE
99
Hammerhead Shaf t 'R
Xl
'1
O
's
N
0
0 'P
o 'p
N
S
T
E
E
T
E
R
'R
E
0
'N
Hexagon R
1 Shroud 2 Toucan 3 Antler 4 Erases 5 Sector 6 Rotund 7 Orders 8 Sapper 9Pampas 10 Panzer 11 Capers
R
Steps MALE MALT MAST MASS LASS
12 Ashcan
Triangles I 24
Heads and Tails
Playing Cards 4 in 52,
or or
4 against 48, 12 to 1 against
100
Hole Numbers
6-hr 3-hr 4-hr 5-hr
man: take man: take man: take man: take
reciprocal reciprocal reciprocal reciprocal
({til 1/6 = 1/3 = 1/4 = 1/5 =
•
0167 0 333 0250 0200 0.960
Mill
Bricks
The message NURSE I SPY GYPSIES RUN' spells out the same message when reversed.
take reciprocal of 0.950 = 1.053 hrs - 63 minutes (Reciprocal = the number divided into 1)
Cipher Looks pretty unpleasant explained like this! But all you are doing to begin with Total up each group of three numbers is working out how much of the hole and take the corresponding letter in the each man will dig in one hour. alphabet to reveal the message:
'MEET ME TONIGHT
B^ Ufl
Bo ys ' Nam es
ERNEST, GEORGE, TOMMY, TREVOR, REGGIE, ROSS, STEVE, VIC, MAX, KEN, RON, KEV.
Notable Rebus
Music Publisher
Missing Letters
All Di ff er en t
CROSS-WORDS
0 oOA Do O A oA o O Oo A 0 A OQ O
Pyramid
CUBBY-HOLE
Numbers 4 Letters
138x138 = 19044
101
|^ ^ For
es t Man Re b u s ^ ^ |
Orang Utan
j g f l
Girls' Nam es
[ ^
J
PEGGY, PETULA, AITHEA, ALISON, NORAH, LILLY, LISA, JUDY, JOY, JEN. JO.
A I27 1
1 QI2H
Coins
Twice.
A I2H
Scales
|
»
70x7 4 • 5 = 4 9 0 / 5 = 98 lbs
A I2H
Flags I
'UNSHOD' is an anagram of HOUNDS', 'CANOE' is an anagram of 'OCEAN', and LAGER' of 'REGAL 1
m | J
II Flags
m
m
Yes, you can find 'NAME FOR SHIP' in 'HMS PINAFORE' (anagram)
102
ME NSA
UK British Mensa Ltd, Mensa House, St John's Square, Wolverhampton, WV2 4AH.
SOCI
E T I E S
CANADA Mensa Canada Society, P.O. Box 505, Station'S', Toronto, Ontario M5M 4L8
AUSTRAL IA INDIA Australian Mensa Incorporated, Mensa International c/o Excel Industries Ltd, P.O. Box 213, 184/87, S.V. Road, Toorak, Victoria 3142. Jogeshwari (West), Bombay-400 102 USA American Mensa Ltd, INTERNATIONAL 2626 E14 Street, Mensa International Ltd, Brooklyn, 15 The Ivories N Y11235 6-8, Northampton Street London-N12HY
A First Mensa Puzzl e Book A s t h ena me s ugg est s, this book
is des ign ed and written to help you discover and sharpen your puzzle solving skills. As you g oalo ng this ment al obstac le cours e, you will encounter and overcome Noughts a n dCros ses, Ma gi c Sq ua re s, Alphametics, Letter Mazes, Cryptophones, Rebuses and over 130 other hair-tearing puzzles. And in ca se yo u find s om e o f the puzzles o nthe eas ier side , (wh ich is not likely, un le ss y ou a r e a potential Men sa member) yo u ca n ev en select the degree o f difficult y you w an t t o tackle. Allpuz zl es are gr ad ed fro m mo de ra te to diffic ult— with an sw er s giv en at the back of the book.
A MCENOTAL U ASSAU R S E LT Why not launch your brain cells over this mental course? It won't quite kill them. In fact it may reveal you as a genius-in-making. Mensa,UK, members Philip Carter and Ken Russell have written this book specifically for the budding genius. Find out if you are one. Of course you don't have to be brilliant to enjoy these puzzles: they are graded so that everyone can find his or her own level. Picturegrams, number sequences, magic squares, crosswords and anagrams — all provide a thorough intellectual workout. Challenge yourself or your friends to a brain-draining contest!
i®\ ISBN-Al-222-01b1-X CD
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