Mensa-Mighty-Mind-Benders

I PUBLICATIONS

SA

I

I

11T)

MINDBENDERS

S

PUBLICATION

MINDBENDERS Robert Allen, Harold Gale & Carolyn Skitt

BARNES &NOBLE B

OO

N

E W

K YORK

S

THIS IS A CARLTON BOOK 109876543 This edition published by Barnes & Noble Inc., by arrangement with Carlton Books Ltd. 1996 Barnes & Noble Books Text copyright © 1994 Mensa Publications Design copyright © 1994 by Carlton Books Limited ISBN 1-56619-668-X Printed in Great Britain

CONTENTS 6 Foreword Introduction to the I.Q. Tests 8 10 Test 1 18 Test 2 26 Test 3 36 Test 4 46 Test 5 61 Test 6 76 Test 7 91 Test 8 106 I.Q. Tests Solutions Introduction to the Mazes 114 201 Mazes Solutions 223 Your Puzzle Notes

FOREWORD

Most people are content to go through life with their brain ticking over at a mere fraction of its true capacity. This book is not for them. Our intention is to present a mind workout that will bend, stretch, and squeeze your mental powers to the very limit. We start with some I.Q. development tests. Everyone has some level of intelligence. It is formed very early in life and then becomes fixed so that you will never exceed that level. However, just as you can develop your muscles with exercise, you can make the most of your mental powers by using them to perform increasingly difficult tasks. The puzzles in this section start off easy but rapidly become more challenging. The second section of the book is concerned with quite another type of intelligence. Solving the mind-bending mazes we have created will take quite different skills, and will help to develop a whole area of mental power you did not know you possessed. We have taken traditional patterns from all over the world and turned them into labyrinths of fiendish complexity. If you can figure these out, you need never get lost in a strange town again!

6

TO THE I.Q. TESTS

We have put together this series of puzzles for your amusement. In each of the tests the correct answer is to be found in one of the shapes. Proceed through each test as quickly as possible and first answer those questions you find easiest. Then return to the more difficult ones. Check your answers, when the time is up, total the correct answers and then find your fun I.Q. score from the table.

9

TEST 1 a

A

B

C

D

Which of the

numbers should replace the question mark?

2 7

0 1

4

6

0

8

2----

z

z

'

?

a

8

Each same symbol has a value. Work out the logic and discover what should replace the question mark.

TI

----

Z

4

TP

16

6-

13 13

161D m~A

TEST I time limit 20 minutes 10

11

14

14

m7 m9 EIJ B

C

E

F

A

B

C

D

E

F

TEST 1 A

B

C

D

M-Eu

E

15Di

T''1 '3R '4D' 2L U 2L '2D' I I.- --÷-.÷l- - +I M2M I 213R1'3R' 3D IU 2L 12D' 2"' 3R+ 31:IR:I'JD:1 F : 3L '2L'

r--

T

MIM

L.J A

:1AnI

L..J C

:3C:

L..J B

I 4E:

Lm.J D

MIM

r--uI EIBm I 2CI E,• LFJ

I.- +- - +--+--

4: 2U: IL: 5: 4R

3U: 1U

IL: 1IR:

L.MML M L I ..

2L

U

Here is an unusual safe. Each of the buttons must be pressed only once in the correct order to open it. The last button is marked F. The number of moves and the direction is marked on each button. Thus 1U would mean one move up, while 11. would mean one move to the left. Using the grid reference, which button is the first you must press?

1U 14U1

L MML. M NJ

IiiiI1I1II

I1E211 a

Insert the correct mathematical signs between each number in order to resolve the equation. What are the signs?

A

B

C

D

E

F


TEST 1 D

Which triangle continues this series?

D

Discover the connection between the letters and the numbers. Which number should replace the question mark?

14


A

B

C

D

E

F

G

7

M

13

U

21

J

10

W

?

I I23

A

B

26

2

D

E

I I

1 C

=

1 F

TEST 1 E

Which of the constructed boxes cannot be made from the pattern?

000 000

A

D

B

C

E

F

TEST Itime limit 211 minutes 13

TEST 1

mE]

3

4

1

2

A

5

2

2

1

C

D

1

1

1

7

E

F

1

2

6

?

B

a

Which of the numbers should replace the question mark?

a

)

U

Which of the

clocks continues this series? A

B

4 C

V

TEST 1time limit 20 minutes 14

1

4

D

E

F

TEST 1

0 (0 0 0) 0) 0 A

B

C

D

E

F

M

When rearranged

the shapes will give a number. Which of the numbers is it?

M

Move from ring to touching ring, starting from the bottom left corner and finishing in the top right corner. Collect nine numbers and total them. Which is the highest possible total?

*00000 A

B

C

D

E

F


TEST 1 Pý

M

This square follows a logical pattern. Which of the tiles should be used to complete the square?

3

2

3

3

2

2

3

2

3

3

2

3

2

3

2

3

2

2

2

2

2

2

3

A

B

C

D

E

F

A

M

Which of the slices should be used to complete the cake?

E


5

A

A

B

8ED

1 8

5

3

C

D

E

F

3

4

2

2

2

8

2

2

10

3

TEST I

B

M

Each straight line of five numbers should total 20. Which of the numbers will replace the question mark?

SStart

at any

corner and follow the lines. Collect another four numbers and total the five. One of the numbers in the squares below can be used to complete the diagram. If the correct one has been chosen, one of the routes involving it will give a total of 28. Which one is it?

H1U0 DE

A

B

C

D

E

F

TEST Itime limit 20 minutes 17

TEST 2 E

Which of the

mA

boxes should be used to replace the question mark?

* A * •

A U

JA A A

A

B

C

D

E

F

Amo~eAmo

1

I

I

B Scales one and two

A

are in perfect balance. Which of these pans should replace the empty one?

2

I

I

A 3

I

I

A


A

B

C

D

E

F

TEST 2 A

B

E~IEl

CD

E

B

A A

A B

A B

D

C D C

A A

D D D

C

C

A

A

B

C D

B B

A

C

3

D

D

C

B

U

C

D

NIEl E

F

B

B

D

C

A

B

D

C

C

A

C

C

D B!

B

B

SB

Which square's contents matches Dl?

2 D

F

A C B

D

How many ways are there to score 25 on this dartboard using three darts only? Each dart always lands in a sector and no dart falls to the floor.

C

4


TEST 2 a

Which of the numbers should logically replace the question mark in the octagon?

6D A

DB

LI a Which number is missing from this series?

I


00 00 )O0 A

B

C

D

E

F

TEST 2

m l 1

2

3

4

5

4

5

1

2

3

A

B

C

D

E

Complete the square using the five numbers shown. When completed no row, column or diagonal line will use the same number more than once. What should replace the question mark?

E

1

11 A

B

8 I613111419 I 8 El] I 511101218 0

I

1

2

1

C

D

E

F

D


2 TEST 2time limit 20 minutes 21

TEST 2 a

Start at 1 and move from circle to touching circle. Collect four numbers each time. How many different routes are there to collect 11? A reversed route counts twice.

M Here is an unusual safe. Each of the buttons

2

3

A

B

6

4

C

D

5

7

E

F

®®

must be pressed only once in the correct order to open it. The last button is marked F. The number of moves and the direction is marked on each button. Thus li would mean one move in, whilst lo would mean one move out. 1c would mean one move clockwise and la would mean one move anti-clockwise. Which button is the first you must press?

A

B

C

D

0 0 E

TEST 2 time limit 20 minutes 22

F

TEST 2 6

3

1

8

A

B

5

4

2

7

C

D

0

9

4

5

7

2

8

?

D14

M


mm E

F

M Which triangle continues this series?

A

B

C

D

E

F


TEST 2 M

Insert the correct

mathematical signs between each number in order to resolve the equation. What are the signs?

I

121 1I4 I I 7

11

M


A

B

C

D

E

F

C

3

14 N

Y

25

F

6

12 L 19 S

U

21

16

O

D

-0

is


P

-41 15

26

I1

8I

A

B

C

D

E

F

TEST 2 M

Which of the

constructed boxes can be made from the pattern?

B

C

E

F

I-0 D


TEST 3 16

E

Each same symbol has a value. Work out the logic and discover what should replace the question mark.

6 x

cx

x

21 22 1A

25 C

1B

~D

~F

E

4,

I

I

1

a

Scales one and two are in perfect balance. Which of these pans should replace the empty one?

4,,

I

2

I

i!iiiiL~ ~i•!

I

3

--MEMEMEMEME

4 4,,V

I A 44, I D


B 464,,,V

C

I E

F

TEST 3

00 00 A

B

C

D

00 E

D

When rearranged the shapes will give a number. Which of the numbers is it?

F

mm

6

1

7

3

2

5

2

8

C

3

5

5

1

E

4

4

1

?

A

B

Which of the a numbers should replace the question mark? D

w

F


TEST 3

A

D

Here is an unusual safe. Each of the buttons must be pressed only once in the correct order to open it. The last button is marked F. The number of moves and the direction is marked on each button. Thus li would mean one move in, whilst 1o would mean one move out. lc would mean one move clockwise and l a would mean one move anti-clockwise. Which button is the first you must press?

<2

I

4a

A

B

C

D

E

F

0O 00

a Which number is missing from this series?

A

B

C

D

00 E


F

TEST 3

A

K

A A A A

B

C

D

E

Which triangle should replace the empty one?

A A E

F

a


D4 A

V B

D

E

F


TEST 3 A

D

C

B

D

Which square's

contents matches C4?

A

B

2

C

D

3

E

F

1

A

U A

A

*

A

S

-•

•

÷ *

*AU

----

A

A*

U

*E

U

A

AA

÷

A •

0

•

4

M How many ways

5

are there to score 123 on this dartboard using three darts only? Each dart always lands in a sector and no dart falls to the floor. Any sector can be used more than once in any set of throws, but the same set of numbers can be used in one order only.


A

B

C

D

E

F

TEST 3 B

A

C

D

E

F

ru-ii

14B I

L..I

1:2D m4R" F "4Dm3D: 4Dm

A

213D n:2D:n3RIn1R,:3D: 5L:

12C I

mm 4~mmm

4

+ m mm+ m +

:mU: m

m

4,3U ý,-.

2U

:1R:

L.J

r--mu 2L: IL: 3L: mu 14D I m U

1D:3U:1L

m4U.m4 'r1-1 5mlR L m

+

m3U

2U +m

L.J B

m m m4

C

3:5R

F--m uI5FB

L.J

•5L:

E

L..J D

13An

L.J

F

m1U

M

Here is an unusual safe. Each of the buttons must be pressed only once in the correct order to open it. The last button is marked F. The number of moves and the direction is marked on each button. Thus 1U would mean one move up, while 1L would mean one move to the left. Using the grid reference, which button is the first you must press?

--.

M

HD A

B

C

DI

Which of the

numbers should logically replace the question mark in the octagon?


TEST 3 M

Which of the


M

Which of the boxes

A *

should be used to replace the question mark?

* * monA÷ ? A *

÷

*

nm


Um A

A

B

C

D

E

F

A

B

C

D

E

F

TEST 3 A

M

AC

B

D

CE

B

D

B

BE

A

D

E

A A

C

E

D

D

E

A

D

0 B

C

D

E

F

M


B 9 DAM A

B

C

D

E

F



TEST 3 m


A

D

B

C

F

F

0 0

M

Move from ring to

touching ring, starting from the bottom left corner and finishing in the top right corner. Collect nine numbers and total them. Which is the highest possible total?

000000 A


B

C

D

E

F

TEST 3 46 44VVV

1

I

I I

4444i/

M

~i/%¸

I

Scales one and two are in perfect balance. Which of the pans should replace the empty one?

2

I

A

I~i

3

Mmwý

I C

B

A

I

E

D

I,

F

I

(L

M

(L

A

B

C

D

E

F

Which of the clocks

continues this series?


TEST 4 D

Insert the correct


Start at 1 and a move from circle to touching circle. Collect four numbers each time. How many different routes are there to collect 12? A reversed route counts twice.


A

B

D

E

F

12

9

A

B

a

7

C

D

11

3

E

F

TEST 4

AL

fl

Which triangle belongs to this series?

A

B

C

D

E

F

Gý

MI A

B

A

I (D

Which of the clocks


C

D D

E

F


TEST 4 B

A

D

C

0


A

B

C

D

E

F

D


A

B

D

C "--'"

"mmT"-

1n 2R I 2R' 4D I 1D

4Ln

IM I

1D"1 1U" "211

F : 3D

---- '.

3: 3R: 1R:

E

ID:I+

X

1R:3L:

4: 4R 11D:

2L:'3U: 3U-+ m'M + m3-lU 1U"1 3R: 3U:3XL13U I

5m TEST 4 time limit 25 minutes 38

m

m --

MMLm m

MMM

M--u i1EmI

L..J

A

B

F-Eu

14Dm

1 3Em

C

D

12An

F--u i 5Bm

L..II

L.EE

1 DR1

"5:

m2Cm

m..J

L..J F

TEST 4 E

Start at any corner and follow the lines. Collect another four numbers and total the five. One of the numbers in the squares below can be used to complete the diagram. If the correct one has been chosen, one of the routes involving it will give a total of 33. Which one is it?

L

U

53 11 1

55

a C

D

3

5

5

5

1

5

3 5

5 3

E

F

00 A

B

C

D

1

1

D This square follows a logical pattern. Which of the tiles should be used to complete the square?

2 E

F


TEST 4 D

Move from ring to touching ring, starting

from the bottom left corner and finishing in the top right corner. Collect nine numbers and total them. Which is the highest possible total?

A0 A

M When rearranged the shapes will give a number. Which of the numbers is it?

00 00 00


B

A

B

C

D

E

F

C

D

E

F

TEST 4 A 3

3

B

C

D

2

2

4

E] E 1

2 4

1 4

3

4

2 44

21

13 2

3

4

1 1

3 4

3

2 4

3

1

4

Which square's

contents matches D 1?

2

C

D

3

E

F

A

B

4 2

1

M

1

1

3

3 3

22

2

3 2

12

AB

2

4

1

C

D

[E]II!l E

M

How many ways are there to score 60 on this dartboard using three darts only? Each dart always lands in a sector and no dart falls to the floor.

F


TEST 4 -

M

Each same symbol

has a value. Work out the logic and discover what should replace the question mark.

13

6

23 •~A

M]

18

20

22

5J EIJ EJ

Which of the boxes

B

C

E

F

A

B

C

D

E

F

should be used to replace the question mark?

U0 *? U -


*111

I -

TEST 4 4

1 23

51

5

D1E4

A

B

C

D

2

M

Complete the square using the five numbers shown. When completed no row, column or diagonal line will use the same number more than once. What should replace the question mark?

E

4

5

4 1

2

3

0 0 0 0 0 0 A

B

C

D

E

F

M

Which circle should

replace the empty one?


TEST 4 M

Each straight line of five numbers should total 25. Which of the numbers will replace the question mark?

"?

21

2

7 1 3

4

2

3

3

5

3122

1 2

A

B

C

D

E

F

A

M

B

Which of the slices

should be used to replace the question mark and complete the cake?

C.

E


TEST 4

8E8 M m 11

A

B

C

D


8El] E

S

?

K

E

516

P

Z

262

B

I

914

N

A

120

T

13936711 A

D

B

E

F

0

Discover the

connection between the letters and the numbers. Which number should replace the question mark?

385 C

F


TEST 5 Here is an unusual safe. Each of the buttons must be pressed only once in the correct order to open it. The last button is marked F. The number of moves and the direction is marked on each button. Thus li would mean one move in, while I o would mean one move out. lc would mean one move clockwise and l a would mean one move anti-clockwise. Which button is the first you must press?

<4c --

M Complete the square using the five symbols shown. When completed no row, column or diagonal line will use the same symbol more than once. What should replace the question mark?

A

A

E

1C

--

*

----

-

----

-

*EA+

46

D

E

F

* -

--

-

--

-

B

El C

TEST 5time limit 40 minutes

C

A

----

B

E

D

TEST 5 A


5+ii ~ S7

78

S58587

8884585S+E

2

3

A

B

i4 !!ii

5~!i!S i

C

D

s

7

a


F

7785

5+8++8


TEST 5 a

9

Each straight line

10

8

of five numbers should total 30. Which of the numbers will replace the question mark?

4 7

7 8

10 6

B

C

D

E

F

5

5

11

? 12

4

2 2

4

A

D

Which number is missing from this series?

00 00 00


A

B

C

D

E

F

TEST 5 •--?

A

*

B

D

C

I kil * A

-

I

-

-

-

U

Complete the square using the five symbols shown. When completed no row, column or diagonal line will use the same symbol more than once. What should replace the question mark?

E

-

-

A

A A

a Which triangle should replace the empty one? C

<2

B

A E

D

F


TEST 5 A

a

Which square's

A

C

B E

A

A

A

D A

B

B

contents matches C 1?

A

B

1 B

D

A

A

B

D

A

B

D

E

E

E

B

C

B

B

2 B

B

E

E

E

A

B

C

D

D

C

A

C

CA

B

3

M

B

A

D

C

B

E

E

C

D

B

E

A

E

B

A

D

D

D

C

E

D

A

D

C

D

C

D

E

F

4

IE!1I How many ways

are there to score 62 on this dartboard using four darts only? Each dart always lands in a sector and no dart falls to the floor.


A

B

C

D

E

F

TEST 5 Which of the

E

This square follows

numbers should logically replace the question mark in the octagon?

D

A

M

B

D

C

A

D

E

C

A

EE

B

C

D

B

B

D

C C

A

C

B

A A

B

D

0DA CB

EBB A

B

C

D

C

B

F

E

E

F

a logical pattern. Which of the tiles should be used to complete the square?


TEST 5 M

Each letter has a value. Work out the logic and discover what should replace the question mark.

A

B

C

D

5

E

F

G

H

11

I

J

K

L

32

M

N

0

P

22

14

20

30

E26 J

B

4A

I--ID EJ

E

C

F

M


CIM D "IN

A B r-'T''T

E

M orMT M oM

F

1:4D:3R: 3D: 2R: 4L: 3L == +

M+

+

mMmNJ

2:3R,3R: 1L ,3D:1DO 5L:, I.--.l

mm --

IMIM+ m m +

m m+.

m 4M

3,1R,2D: 1U, 1L:4L,1DI

r -m . 12Fm

L..J

IL..J 5Cn

A

B

.-- il

14Dm L..Jl

.--..-4-

s,4R,4U, L.M. J.EM.


F

4U 1R, 2U,

ME IMML MM MMJ.M MMI

L..J

C

D

r--il 14E I

F-Muil

L..E

4,1Rm2R, 1D:1U14L, 2U,

I 5Bm

E

I 3Fn

L.J

F

TEST 5 E

Move from ring to

touching ring, starting from the bottom left

corner and finishing in the top right corner. Collect nine numbers and total them. Which is the highest possible total?

000000 A

A

B

B

C

C

D

E

F

D A

B

M

Which of the


C

0

E

F


TEST 5 E

Start at any corner

and follow the lines. Collect another four numbers and total the five. One of the numbers in the squares below can be used to complete the diagram. If the correct one has been chosen, one of the routes involving it will give a total of 20. Which one is it?

, , . .

0 A B

A

D

C

E

F

1

I

M Scales one and two are in perfect balance.

I

A

Which of these pans should replace the empty one?

2

I

I

3

I

I

•


A

A

B

C

D

E

F

TEST 5

G@ @0 @0 A

B

C

D

E

F

M

Here is an unusual safe. Each of the buttons must be pressed only once in the correct order to open it. The last button is marked F. The number of moves and the direction is marked on each button. Thus 1i would mean one move in, while lo would mean one move out. 1c would mean one move clock-wise and 1a would mean one move anticlockwise. Which button is the first you must press?

0 841 E

7

IM

I 36

3

m

A

B

C

D

E

F

Insert the correct



TEST 5 M

Which triangle

belongs to this series?

M



A

B

C

D

E

F

C

23

T

J

17

G

L

34

V

E

10

E

A

?

X

A

B

C

D

E

F

TEST 5

V

9

M

A

7

A

B

C

D

E

F

8

5

314

3

887

6

---

-

Which of the clocks continues this series?

mE] M mmE A

B


C

D

E

F


TEST 5 0

M

Which of the constructed boxes can be made from the pattern?

A

D

M

When rearranged the shapes will give a letter. Which of the letters is it?

@0 A

B

C

D

E

F


B

C

E

F

TEST 5 1 332 1

3

3

1

1

2 4 2

3

2

1

2 3

2

2

12

8

A

B

Start at 4 and move from circle to

5

LO

C

D

touching circle. Collect four numbers each time. How many different routes are there to collect 10? A reversed route twice.

6 E

2

i!ISIcounts

M

F

131 3

12 10 14 7

12

14 14 14

12 18 11 8

1

8E0 9 8 A

B

C

D

E

F

E3Each straight line of five numbers should total 50. Which of the numbers will replace the question mark?

8 ?21

2

268 TEST 5 time limit 40 minutes 59

TEST 5 0

Which of the boxes should be used to replace the question mark?

- ±*1! A A

•

A

B

C

D

E

F

A

B

m 0

m

* -

E3 Each straight line

9 8110 1 1111 11 ?

of five numbers should total 35. Only two numbers must be used to complete the square. Which of the numbers will replace the question mark?

11

5 0


090 0I!

9

13 20

5

C

D

E

F

TEST 6 E

Which of the slices should be used to complete the coke?

a Start at any corner and follow the lines. Collect another four numbers and total the five. One of the numbers in the squares below can be used to complete the diagram. If the correct one has been chosen, one of the routes involving it will give a total of 41. Which one is it?

an

a A

B

C

D

E

F


TEST 6 D


00 A

B

C

D

®0

E

F

2

Each straight line a of five numbers should total 40. Only two

numbers are used to complete the square. Which of the numbers will replace the question mark?

12 8


3

7

6

6

5

6

6

0 6

7 17 16 .7

A

08

C

D

E

F

B

TEST 6

GE GE GE A

44

B

C

D

E

F

E Here is unusual safe. Each of the buttons an

must be pressed only once in the correct order to open it. The last button is marked F. The number of moves and the direction is marked on each button. Thus li would mean one move in, while lo would mean one move out. lc would mean one move clockwise and la would mean one move anticlockwise. Which button is the first you must press?

1

-J

Im

a

4 •,/4 i•4,i i i~i i~i...i i

I

A IV

I~ii

Scales one and two

are in perfect balance. Which of these pans should replace the empty one?

2

3

AI I

44.4646446

A

B

C

D

E

F


TEST 6 D


LOOý

F

D



A

B

C

D

E

F

TEST 6

00 00 0@ A

B

C

D

E

F

D

Which arrow is missing from this series?

_Move from ring to touching ring, starting from the bottom left corner and finishing in the top right corner. Collect nine numbers and total them. Which is the highest possible total?

000000 A

B

C

D

E

F


TEST 6 M

M This square follows

A

I

a logical pattern. Which

of the tiles should be used to complete the square?

A

B

C

D

E

F

A

B

A 0

0)I IAO0 EAQ

I

0

0

*

*

*

A&

M

Which square's contents matches D4?

A

C

B

D

1

1

5

1

3

1

1

3

5

5

2

3

2

3

5

4

2

3

4

4

4

2

3

3

4

3

1

4

2

5

4

5

3

3

1

4

4

4

2

5

4

3

2

5

1

1

4

3

3

4

5

3

4

2

3

5

2

2

4

4

3

1

1

2


A

1

B

2

C

D

3

E

F

4

TEST 6 8H A

B

BE!] C

D

E

F

M

How many ways are there to score 85 on this dartboard using four darts only? Each dart always lands in a sector and no dart falls to the floor.

M

8 A

6 C


H D. B

5 E


TEST 6 M

DO GO GO

Which circle should

replace the empty one?

M

Complete the

square using the five numbers shown. When completed no row, column or diagonal line will use the same number more than once. What should replace the question mark?

1

2

4

5

2

3

68

B

C

D

E

F

EI00 A

B

C

D

E

TEST 6time limit 45 minutes

A

TEST 6 A

1

B

D

7

K

Q

2

0

R

2

T

Z

?

C

M


EEJ

12 A

E 28 D

B

C

E23 E9 E

F

M

Which triangle belongs to this series?

A

B

C

D

E

F


TEST 6 M

K

K

A

A

A

K

K

0

0

0

H

H

A

A

K

0

50

49

Each same symbol


M

46

~D

E

1C

~F

H iH

232

B

181

C

D

E

mm F


70

-B

A

Which of the

TEST 6 time limit 45 minutes

4A

62

3

0

3

1

1

4

3

TEST 6 tt

M

Which of the clocks

continues this series? A

B

C

D

E

F

A

B

D

E

M


0

F


TEST 6 A

M•


M

*0 E A

of the boxes should be used to replace the question mark? VWhich

A

? A -*EII@*


I

A

~rnA

B

C

D

E

F

TEST 6

181 I 1-131 I11 1191=161

-÷÷ x. A

B

C

D

E

F

r

-r--

D

C

B

A

E

F

"-E-rm-- -r-- "r'--m-I

'1R: 3D: 1R .4D .5D: 1L 2

:

mn6D

,2D, 3R, 1R,:2D,:4L,:4L,

3: F :IR:2U:2L:4L: 2Ui m~ MM MM mm

4

+"

4R:2D:IU:2L:2D,

ID, 5:RID:

mm~mj "+

+

M-

I:IR

- +

6 :.5U.:2R:

L.. -....L.

M -

+

M

Insert the correct


-m

r

r--m I 6BB I

I12C I

L.J

L.J B

A

I

L.=J

3E I

L.J

C

D

r-mF1

r" =m1

2F I

+L.J E

14AmI

L.J F

M

Here is an unusual safe. Each of the buttons must be pressed only once in the correct order to open it. The last button is marked F. The number of moves and the direction is marked on each button. Thus 1U would mean one move up, while 1Lwould mean one move to the left. Using the grid reference, which button is the first you must press?

IU:2U - -

+ N +

MM0I

1U.3L:3U.:4U: J-..J

J...-L..MJ TEST 6 time limit 45 minutes 73

TEST 6 M

Move from ring to

touching ring, starting from the bottom left corner and finishing in the top right corner. Collect nine numbers and total them. Which is the highest possible total?

000000 A

A

MJ Which square's contents matches B 1?

-+

A*

*

-

--

-

--*÷

AA*

A

* -

0*

A


A*

B

C

D

EI

F

+H +

-

-+

+-. •

A * A

H A

+

0*

H

+-

A

1

2

3

S

F

EilIEI

D

*

*

E

D

C

B +

A

C

B

-

A

4

TEST 6

00 @0 A

B

C

D

E

F

mm A

B

Which arrow is

missing from this series?

0

How many ways

are there to score 58 on this dartboard using four darts only? Each dart always lands in a sector and no dart falls to the floor.

CD

E

M

F


TEST 7 E

Which triangle

belongs to this series?

A

B

C

D

E

F

5

2

A

B

3

6

C

D

D


17

E

TEST 7time limit I hour 76

F

TEST 7

D3A

A

B

C

D

E

F

WhiCh of me


a Which of the numbers should logically replace the question mark in the octagon?

H B

8 C

ra 0 ýE


TEST 7 D

completed no row,

column or diagonal line will use the same symbol more than once. What should replace the question mark?

-I- Mý hý

Wý

Mý

Mý

Wý

Wý

A B r-M T41

D

Here is an unusual safe. Each of the buttons must be pressed only once in the correct order to open it. The last button is marked F. The number of moves and the direction is marked on each button. Thus lU would mean one move up, whilst 1L would mean one move to the left. Using the grid reference, which button is the first you must press?

[E E EEJ

& A AO

Complete the square using the five symbols shown. When

hý

C

D

E

C

D

E

F

C

D

E

F

2L : 2D1 SL.

12Bm L.J

I 7Dm

A

B

L.J

3:2D: 3D: 2U:3L:1R- 3L: 4 s 4R'IU

1R,3U:•2D.:3U:

6 ON 3R On 1R: 7

4U : 1D: 5U: 1U

:1R: 5U: 2L:2R:5U:3U, L...M...JA

78

-l

m..J...L

... J

L.J I.-.I

2R: 3D:,2R: 4L: 4D:,

1R,:2U:2D: IL:

TEST 7time limit I hour

B

hý

x F .!4D.! 6,

2 ,4D

A

C

I

4Cn

Lm..J

D

I.-.I

nl-'-

16A I L.J

1 3Em F..1

E

F

TEST 7 of the boxes ,shouldWhich be used to replace

B

A

the question mark?

A?

K>*

AA

*A

C

D

E

F

-

± 4o.,4A EI A

B

C

D

[8 2

E

0

a Which of the numbers should replace the question mark?

F


TEST 7 D


M

E) eD Go A

B

C

D

E

F

When the tiles

in this square are rearranged a logical pattern will emerge. Which of the tiles should be used to complete the square?

3

1

3

12

80

2

2

2

3

3

1

1

2

1

2

2

3

2

2

2

2 TEST 7time limit I hour

1

3

N22 32 A

B

C

D

E

F

TEST 7 3 A

A

B S

B

C

D

E

F

A•

B

M

How many ways

are there to score 99 on this dartboard using five darts only? Each dart always lands in a sector and no dart falls to the floor.

D

C

-+

I A

-

2 -

-

contents matches A4?

-

++ +m

÷o+

Which square's

C

D

E

F

-UA

A-*o+*mom+m+

3 S-+A

--

-

-

4


TEST 7

00 00

M

Which shape is missing from this series?

M

Which triangle should replace the empty one?

A

B

C

D

E0 E

F

A

K2 TEST 7time limit I hour 82

7

A

B

C

D

E

F

TEST 7

14 1 181 -1211 151 =158

1281

A

B

Insert the correct mathematical signs between each number in order to resolve the equation. What are the signs?

C

F

I

I'÷÷

M

DEF

1 I

_____

_____

I IB

Lii

A

M


U

_____

C

B

D

E D

C

E

F F

I TEST 7 time limit I hour

83

TEST 7

A

M


1913

A

A2 D

B

C

E

F

A

M


C . m D

SF


TEST 7 11 12 13

8

0E]0

0

13 13 11

M

A

B

C

D

E

F

0

Each straight line

of five numbers should total 45. Which of the numbers will replace the question mark?

3

11 13 6 0

? 24 M Here is unusual safe. Each of the buttons an

A

A <3a

la

B

C

D

E

F

must be pressed only once in the correct order to open it. The last button is marked F. The number of moves and the direction is marked on each button. Thus 1i would mean one move in, whilst lo would mean one move out. 1c would mean one move clockwise and la would mean one move anticlockwise. Which button is the first you must press?

TEST 7 time limit I hour 85

TEST 7 M

Each same symbol


29 -C

-

-Y'

68 -

---

41

30

131

M


M

86

C

I 532J E

A

x

x

0

A

*

A

A

A

0

x

x

A

-

TEST7 time limit I hour

120B 51

E

35A

-

F

Ax A

B

C

D

E

F

-

TEST 7

00 00 A

B

C

D

E

F

M

When rearranged the shapes will give a number. Which of the numbers is it?

00

1

I 444444,,

I

M

A 2

I

I ,A

1


I

-

I

A

3

A

B

C

D

E

F


TEST 7 M

Start at any corner

and follow the lines. Collect another four numbers and total the five. One of the numbers in the squares below can be used to complete the diagram. If the correct one has been chosen, one of the routes involving it will give a total of 45. Which one is it?

flu A

A E Which of the numbers should replace the question mark?


B

B

C

C

D

a

E

F

D} A

B

C

D

E

F

TEST 7 M

÷'0A

C

FX

SE D


Ex':1--.•L÷ B

Insert the correct

E

F

A A

B B

D

a Which of the constructed boxes can be made from the pattern?

C C

E

F


TEST 7 M


S672

I

Which of the clocks


136

M

U

421

D

H

178

Q

O

115

A

X

?

I

834

jl411

A

B

C

295

118

924 F

E

D

0

F

(i

1D


A

B

C

D

E

F

TEST 8 N

A


D B

D9 C

D-

5243

A

B

[E]1 C

D

Mý

Mý

0ýý

Mý

Mý

Mý

0ý

Mý

a Complete the square using the five numbers shown. When completed no row, column or diagonal line will use the same number more than once. Which can logically replace the question mark?

E

1


TEST 8 I

D


A

B

3

6

C

D

7 E

4 F

a



A

B

C

D

E

F

TEST 8 A

B

C

D

E

F

A

B

C

D

E

F

H

Here is an unusual safe. Each of the buttons must be pressed only once in the correct order to open it. The last button is marked F. The number of moves and the direction is marked on each button. Thus li would mean one move in, while lo would mean one move out. lc would mean one move clockwise and la would mean one move anticlockwise. Which button is the first you must press?

H



TEST 8 D


K

16

Y

2

P

11

E

22

L

I1

13i .•I A

11I

B

C

=8

i

6 F

E

D

a

Which of the clocks continues this series? A

D


B

C

E

F

TEST 8 A

B

D

C

B

A

D

Which of the


C

D

E

F

63

M

85

11

11

'T

58

63

61

•m•A

•D

oJ B 3E

Each some symbol


C

J

F


TEST 8 M


000000 B

A

C

E

D

F

M


1

I

I

2

I

444',

II

A

2 I

I

3

A


A

B

C

D

E

F

TEST 8 V

V

B

N

H

H

N

B

V

B

N

B

N

H

V

V

40

?

I40

D

66

C

E

A

B

C

D

E

F

F

r m E11

1 13R: 4R: 2L:2D:6D: IL: 2

1R 1U' 4Dn2R

F

12Bm

IL.J 4EI

A

B t m I *I

L.J

3L:

I11B"1

L..J

3 4

M

Each same letter has a value. Work out the logic and discover what should replace the question mark.

32

149J

3B

m~A

60

3D: 3D: 1L:4D:4L: IL:

C

3RO 1L: 1U: 2R1 2L: 1U

16Fm

I 5C" I,.J

D

I.---IE--.I

--- !.---I---I--- -

-- m+--+ S :3U: 3R: 1R:2L:1D: 5L:

L..E

I

7D'

LFJ

E

M

Here is an unusual

safe. Each of the buttons must be pressed only once in the correct order to open it. The last button is marked F. The number of moves and the direction is marked on each button. Thus IU would mean one move up, while 1L would mean one move to the left. Using the grid reference, which button is the first you must press?

6 '5R-'2U: 5U':4U :2U: 2L : -- -I.--I--U-I-U-- -I 7 :5R: 1R: 2L. 2L.:5U. 2U: LE

OLE EL.ML.. ML INME

ML

J


TEST 8 M

Which of the constructed boxes can be made from the pattern?

D

A

B

C

D

00 E

F

M1 When rearranged the shapes will give a number. Which of the numbers is it?


TEST 8 M


coo,.. A

B

C

D

E

F

A

B

C

U

U

F

E

M•


D


TEST 8 A

M

Which of the slices should be used to complete the coke so that the top half matches the bottom half?. oýD

E .4

A

M

B

A

C

D

m

3

C

D

A

3

3

C

D

mmm

D

A

1

D

1

D

C

A

A

3

3

3

1

3

1

C

C

1. Am0

1

3

A

C

B

Which square's

contents matches D2?

2.C D

2 m

mm

m

D

D mm

1

1

1 Am0 3

C

3

3

3

A

3

C

3

C

A

mm A& AlA

A

3

3

C

1

3

A

C

M Mm

1

A

C

A

1

C

A

1

C

3

C

1

A

D

A

M A

1

Mm

1

M

3

4 A


E

F

TEST 8 1

9

6

5

3

4

1 T2

1 7

6 7

7

9

5

2

3

9

6

9

8

2

S4 A

D

3

3

A

B

9

8

C

D

E

W

4

S

J

6

D

O

3

L

R

10

H

V

?

K

42

M

When the tiles in this square are rearranged a logical pattern will emerge. Which of the tiles should be used to complete the square?

F

M


Ul16 -B

E

C

F


TEST 8 Here is an unusual safe. Each of the buttons must be pressed only once in the correct order to open it. The last button is marked F. The number of moves and the direction is marked on each button. Thus li would mean one move in, while lo would mean one move out. lc would mean one move clockwise and 1a would mean one move anticlockwise. Which button is the first you must press?

M

Which of the clocks continues this series?

A

A

M

<6C

GI)

e), A

B

C

F r D


E

F

B

C

D

E

F

TEST 8 16 1313 8

10

A

B

8i!

1313161316

16 813 2

5

88

8

iii9

C

D

E

7

E

F

M


1313131616 16 8 16

13

SI

I

1

03

I

I

A "4444444•••b)••/.

2l

bi••• d•••) (

i .. .


2

3

A A

B

C

D

E

F


TEST 8 M

Which shape is

A

B

C

D

E

F

missing from this series?

E) 0 Ga (a a

E3 Which circle should replace the empty one?


A

B

C

D

E

F

TEST 8 M


A

B

C

D

E

F

1531 1351 12

I2I1 161141

1

Insert the correct

mathematical signs

between each number in order to resolve the equation. What are the signs?

A

B

C

D

E

F


TEST 1ANSWERS 1

F. OneachrowA+B+ C=D.

2 3 4 5

D. Q=5, E=2, TP=4, Z=3. F. E. B. The numbers in the first triangle total 3,

6

the second 4 and so on. B. The alphabetical value of each letter

7

is placed next to it. C.

8 9

C. Each row totals 10. B. The hour hand moves forward

two hours each time. 10 E. 11 F. 12 D. When completed the box reads the same both down and across. 13 C. 14 D. 1s F.

15 14 13 12 11 10 9

130 125 122 117 115 112 108

90 85 80 75 70 65 60

8

105

55

7 6

100 95

50 45

5

90

40

106

TEST 2ANSWERS 1

F.

2

A. *=6, v=5, * =2.

3 4 5

F. E. C. Each double section totals 10.

6

B. Two series lead from 1 to 16.

7 8

C. D. Deduct row 2 from row 1 to give row 3.

9 C. 10 E. 11 E. On each row the two squares to the left total 9, as do the two to the right. 12 F. The numbers in the triangles total 4, 6, 8, 10 etc. 13 C. 14 A. The alphabetical value of each letter is placed next to it. 15 A.

15 14

130 125

90 85

13 12 11 10 9 8 7 6 5

122 117 115 112 108 105 100 95 90

80 75 70 65 60 55 50 45 40

107

TEST 3ANSWERS w=4, P=7, X=5, 6=8. A. 46=2, v=l, 1=3. E. B. Each of the four columns of numbers totals 15. C. 4a in the inner ring. D. The numbers on each row total 9. A. A large triangle added to the nearest

1 C. 2 3 4 5 6 7 8

small triangle will give the middle number. E. Each double section is added together. Reading clockwise from 2 + 1, the totals increase by one each time.

9

B.

10 11 12 13

E. D. F. Each double section totals 13. A. On each row the first figure minus the second figure plus the third figure gives the fourth.

14 E. 15 E. The first row plus the second row 16 17 18 1P 20

gives the third row. C. The box now reads the same down and across. B. E. E..4 =8, =6, =7. D. The hour hand moves forward two hours, then three hours, then four hours etc.

108

20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5

138 136 134 132 131 130 125 122 117 115 112 108 105 100 95 90

95 94 93 92 91 90 85 80 75 70 65 60 55 50 45 40

TEST 4ANSWERS 1

A.

2

B.

3

B. In each triangle the bottom two numbers, when added together, give the top number.

4

F. The hour hand moves back four hours each time.

5

C. On each rowA+B-C =D.

6 7

E. D. A. When completed the box reads

a

the same both down and across. 9 10 11 12 13 14 15 16

C. C. D. D. A. (x=6, P3=3, X=7, 8=10. B. D. F. A large circle minus the nearest

20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5

138 136 134 132 131 130 125 122 117 115 112 108 105 100 95 90

small circle will give the middle number. 17 A. 18 B. Reading clockwise, the numbers relate to the number of line forming the shape in the previous sector. 19 C. The first row plus the third row gives the second row. in the middle. 20 E. The alphabetical positions of the letters are placed together in the middle.

109

95 94 93 92 91 90 85 80 75 70 65 60 55 50 45 40

TEST 5ANSWERS 1 B. 2c in the inner ring.

28 A.

2 3

29 A.

B. A. Reading clockwise, the number in the

30 E.

sector is the alphabetical value of the letter in the previous sector. 4 5 6

F. F. C. Each column totals 8.

7 8

E. B. From the 1, the numbers increase in

0S

30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5

a spiral by missing out one number, then two numbers, then three numbers and so on. 9 C. 10 F. 11 B. Each double section is added together. These totals increase by two each time. 12 F. When completed the box reads the same both down and across. 13 D. The value of individual letters is irrelevant. The total of the row of numbers must match the total of the column of numbers. 14 E. 15 A. 16 E. On each row A - B - C = D. 17 B.

18 C. 4•4, v =3, *= 1. 19 D. lo in the inner ring, between another lo and 5a. 20 F. 21 A. The left number plus the top number gives the right number in each triangle. 22 C. The alphabetical values of the letters are added to give the number in the middle space. 23 B. The minute hand moves forward ten minutes and the hour hand one hour on each clock. 24 F. Divide the square into four 2 x 2 blocks. The four numbers in each block total 20. 25 D. 26 A. 27 D.

110

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PRET"

161 160 157 155 154 152 150 148 143 -140 138 136 134 132 131 130 125 122 117 115 112 108 105 100 95 90

MENSA LEVEL

You should attempt to join - see front page for details.

99 99 99 99 98 98 98 98* 97 96 95 94 93 92 91 90 85 80 75 70 65 60 55 50 45 40

TEST 6ANSWERS 1

E. The sectors in the bottom half total one higher than their opposite in the top half.

2

C.

3

F.

4

B.

5

F. 2c in the inner ring with 2c on either side, and 2c outside.

6

D.. . =5, v =7,

7

F.

8

F. The third row plus the second row

27 C. 28 D. 29 C. Start in the top circle. The series of arrows zigzags across in a downward direction with the arrows pointing as follows: right, left, up, up, down, left. This repeats. 30 E.

=4.

30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5

gives the first row. 9

A. Start in the extreme left circle. The series of arrows zigzags up and down with the arrows pointing as follows: up, down, right, left, down. This repeats.

10 D. 11 B. When completed the box shows the same pattern both down and across. 12 F. 13 C. 14 A. Each double section is added together. This double and its opposite have the same total. 15 E. The middle circle and the two rings of circles all total 24.

16 D. 17 E. The alphabetical positions of the letters are found and the smaller is taken from the larger. 18 C. In each triangle the bottom two numbers are multiplied to give the top. 1.9 B. K=ll1, A= 12, O= 15, 1-[= 16. 20 D. On each row A x B + C = D. 21 E. The hour hand moves forward one hour and the minute hand moves five minutes back each time. 22 E. 23 B. Opposite sectors total the same. 24 D. 25 B. 26 B.

*

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99 99 99 99 98 98 98 98* 97 96 95 94 93 92 91 90 85 80 75 70 65 60 55 50 45 40

TEST 7ANSWERS 1

2 3 4

D. The left number divided by the top

minutes and the hour hand moves

number gives the right number in

back two hours on each clock.

each triangle. A. E. The first row plus the second row gives

SO*

30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5

the third row. C. Each double section is added together. All double sections total 9.

5 6 7 8

E. D. D. A. Reverse each row of numbers. Add the second row to the third to give the first row. 9 B. 10 D. When completed the box reads the same both down and across. 11 12 13 14 15 16 17

C. C. F. A. All straight lines of five triangles total 22. E. D. E. In each triangle the left number increases by four, the right number decreases by three and the number at the top doubles

each time. is D. 19 E. 20 A. 2a in the inner ring, between lo and li. 21 C. 0=6, y-7, 1=8, ,r=20. 22 E. When completed the box shows the same pattern both down and across. 23 D. 24 C. 4. = 1, V = 8, * = 11. 25 E. 26 A. On each row A x B - C =D. 27 D. 28 F. 29 F. The alphabetical values of the letters are placed on opposite sides in the middle space. 30 C. The minute hand moves forward fifteen

112

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S

P

161 160 157 155 154 152 150 148 143 140 138 136 134 132 131 130 125 122 117 115 112 108 105 100 95 90

MENSA LEVEL

You should attempt to join

- see front page for details.

C

T

99 99 99 99 98 98 98 98* 97 96 95 94 93 92 91 90 85 80 75 70 65 60 55 50 45 40

TEST 8ANSWERS 1

D. Each double section is added together.

28 F. The number in the middle circle multiplied

Totals of opposite sections are equal.

by the adjacent small circle gives the value in

the large outer circle. 29 D. In each triangle the left number decreases

2

C.

3

E.

4

F. Reverse each row of numbers. Add the first

by five, four, three, two and so on. The right number increases by three, four, five, six and so on. The number at the top is left plus right.

row to the second to give the third row. 5

C. 2a in the inner ring between 2a and lo.

6

C.

7

A. Reverse the alphabet and give each letter

30 C.

its value. For example A=26, B = 25. 8

30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5

D. The minute hand moves forward twentyfive minutes and the hour hand moves back four hours on each clock.

9 C. On each rowA+B + C =D. 10 F. T1=8, (p=10, c=20, Wg=25. 11 B.

12 13 14 15 16 17 18

E. 4. =7, v =5, * =9. E. B=2, H=8, N=14, V=22. D. E. B. A. E.

19 C. Give the letters their value in the alphabet and add them to the numbers. The top half of the circle will total 50, as will the bottom half. 20 E. 21 C. When completed the box reads the same both down and across. 22 D. The alphabetical value of the letters to the right are subtracted from the left to give the number in the middle space. 23 D. 3a in the inner ring, with 5a on both sides. 24 A. The minute hand moves back five minutes, then ten minutes then fifteen and so on. The hour hand moves two forward, two back, two forward and so on. 25 B. 26 D.4 =6, v =9, 27 A.

= t0. 1

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161 160 157 155 154 152 150 148 143 140 138 136 134 132 131 130 125 122 117 115 112 108 105 100 95 90

MENSA LEVEL

You should attempt to join

- see front page for details. 113

99 99 99 99 98 98 98 98* 97 96 95 94 93 92 91 90 85 80 75 70 65 60 55 50 45 40

INTRODUCTION

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TO THE MAZES

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IINIS

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222

YOUR PUZZLE NOTES Use these pages to jot down notes when working out your answers.

223

V

3 2 3

ISBN 1-56619-668-X

9I!IH!I!LL!I 781566 19680 900

Mensa-Mighty-Mind-Benders

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