IQ Mindbenders

T 21
PUZZLE

E Which of the bottom row of numbers replaces the question mark?

S 5 10 7
T 2 1 10 6 3

345?921

7 2 15 4 4

673

10 12 14 16 18 20 22 24

22

PUZZLE

Which letter replaces the question mark and completes the puzzle?

EI M

QU ?

C GK OS W

16

23

PUZZLE

Which number completes the puzzle?

5 12 4 2 6 8

3 41

EE9A0706-0CA4-40D1-B606-7292843C01F7 150 14 6 5 5 12 ?

24 T
E
PUZZLE S
T
What is missing from the last star?
PVR 16

J VO CJ ? 151

DB HJ BH

25

PUZZLE

Which letter completes the puzzle?

GCO
DKVKDA
BPT ?

26

PUZZLE

Which letter replaces the question mark and completes the puzzle?
NJQ

DG C

J RC Q N ?

27

PUZZLE

Which number replaces the question mark and completes the puzzle?

EE9A0706-0CA4-40D1-B606-7292843C01F7 26 34 6?
11 10 15

T 28
PUZZLE

E Which segment completes the puzzle?

S ABCDEE JOTY 1 2
AB TB

FGH I JD I NSX BY TX FAYX

T K LMNOCHMRW X Y A B 3 X Y A F
PQRS GLQV TY BT BT

U VW KPU FAYX

UPK WV U 4 XYAF 5

VQLG SRQP TB TB TB

WRMHCONML K X Y A F XAYF

XSN I DJ I HGF F AYX FYAX

Y TOJ EEDCBA BT BT

29

PUZZLE

Which number replaces the question mark and completes the puzzle?

31 17 64
24 51 53

22 23

16 80 10 ?

EE9A0706-0CA4-40D1-B606-7292843C01F7 30

PUZZLE

Which letter replaces the question mark and completes the puzzle?

AHFKKNP ?

152

1 T
E
PUZZLE S
T
Which grid continues the sequence?
17
? 153

ABCDE F

2

PUZZLE

Which of the bottom watches fills in the missing gap?

1:20 3:12 2:34 4:53

A B CDE

4:31 6:45 5:43 6:50 6:32

EE9A0706-0CA4-40D1-B606-7292843C01F7

EE9A0706-0CA4-40D1-B606-7292843C01F7 T3
PUZZLE

E Which of the lower letters replaces the question mark to complete the puzzle?
S 3L9
T 71T66

226X491
93Y58
8?7

LMNO P QR S

4

PUZZLE

Which number replaces the question mark and completes the puzzle?

7 11

6 11

17 12 3 15 7
13

17

154 9 ?

5 6 T
E
PUZZLE PUZZLE S
T
What is missing from the last segment? Which number completes the puzzle?

64 74 7
8
122 85 11
115 ? 15
22
?

7 8

PUZZLE PUZZLE

Which letter replaces the question mark and Which letter replaces the question mark and
completes the puzzle? completes the puzzle?

BG H

CF M R 17
W B 155
DE GL
Q?
ED
FC

G?

EE9A0706-0CA4-40D1-B606-7292843C01F7

T9 10
PUZZLE
PUZZLE
E What is missing from the last hexagon?
S 6 12 15 Which letter completes the puzzle?
T
H D
24 7
K I
5 10 ?
N AX

S

U? TP

F N

C I

11 12

PUZZLE PUZZLE

Which letter replaces the question mark Which number replaces the question mark
and completes the puzzle? and completes the puzzle?

F 1341

H 2 04 8
17 K
2755
M
3 46 ?
P
EE9A0706-0CA4-40D1-B606-7292843C01F7 156 ?

13 14 T
E
PUZZLE PUZZLE S
T
What is missing from the last octogan? Which letter completes the puzzle?

351 GM
795 JK

13 15 ? J?

15 16

PUZZLE PUZZLE

Which number replaces the question mark Where should the minute hand point to on
and completes the puzzle? the bottom clock?

567

3 12 9 17

2 12 ? ?

EE9A0706-0CA4-40D1-B606-7292843C01F7 157

T 17 18
PUZZLE
PUZZLE
E What is missing from the last hexagon?
S Which number completes the puzzle?
T
26
12 8 14 18 ?
22
18

12

?

19 20

PUZZLE PUZZLE

Which letter replaces the question mark Which number replaces the question mark
and completes the puzzle? and completes the chain?

A K 3 12 8
DI NS
13 14 20
F P

17

KEE9A0706-0CA4-40D1-B606-7292843C01F7U 27 40 60
GL Q?
158 P ?
Z

21 22 T
E
PUZZLE PUZZLE S
T
What is missing from the last circle? Which letter completes the puzzle?

372 IO

2 MF ?

4 14 ? GA

23 24

PUZZLE PUZZLE

Which number replaces the question mark Which number replaces the question mark
and completes the puzzle? and completes the puzzle?

39 71 ? 17
24 36 16 17 159
6 10 7
16 52 2461

10 8 4 10
52 1 10

64 4?

EE9A0706-0CA4-40D1-B606-7292843C01F7

T 25
PUZZLE

E What is missing from the last circle?

S 4096
T

4913

5832

685?

26

PUZZLE

Which letter replaces the question mark and completes the puzzle?

CK MV HS

I JL

17

EE9A0706-0CA4-40D1-B606-7292843C01F7 OT

?

160

27 28 T
E
PUZZLE PUZZLE S
T
What is missing from the last square? Which number completes the puzzle?

AMQ 170521
251024
CUE 321130
371333
GE ? 471739
58255?

29 30

PUZZLE PUZZLE

Which two numbers are the odd ones out in Which number replaces the question mark
these ovals? and completes the puzzle?

32 781

A 56 72 17

18 96 659
2?5
35
161
B 72 56

28 84

EE9A0706-0CA4-40D1-B606-7292843C01F7

T1 2
PUZZLE
PUZZLE
E Which number replaces the question mark and
Which number replaces the question mark and
completes the puzzle? completes the grid?

S 3 2 13 7 1

7 9 6 1 12 5 0
81
T 42 5 7 24 6 6

69 0 3 14 2 9

5 6 4 5 18 8 ?
15 1?

3 2

3 4

PUZZLE PUZZLE

Which number replaces the question mark and Which number replaces the question mark and
completes the wheel? completes the puzzle?

26 1 3 GNQ 8
5 3 3 RBS 9
4 TUA 2
3 25 5 2 FPC 5
3 OLH ?
9 19
18 4 7
4
2
13
22

9 7 11 2

23

EE9A0706-0CA4-40D1-B606-7292843C01F7 162 2 ?

5 T
E
PUZZLE S
T
Which letter replaces the question mark and completes the chain?
18
N 163
FX

VH

LR
?

6

PUZZLE

Which number replaces the question mark in the bottom grid?

0642 1955
1756 3069
2971 4284

EE9A0706-0CA4-40D1-B606-7292843C01F7 2460 0844
3574 1958
4789 317?

T7
PUZZLE

E What is missing from the right hand star?

S 476

T 31 68 49
5
8 ?

9 23 11 2

657

8 9

PUZZLE PUZZLE

Which letter replaces the question mark and Which number replaces the question mark in the
completes the puzzle? second figure?

DH MJ 5 ?
KMX RBP 74 68
GP EF

LC NU 3 35 0
SGL O ?W
GI AB

10

18 PUZZLE

Which letter replaces the question mark in the third triangle?

F KPUZE J

CXS NID YTO

EE9A0706-0CA4-40D1-B606-7292843C01F7 164 H M R W B G L Q V A ?

11 12 T
E
PUZZLE PUZZLE S
T
Which letter replaces the question mark and Which letter replaces the question mark
completes the sequence? in this formation?

9L6 YE
SUK
3S5 MO A Q
G IW
11 G 9
A?
4 J 13

3?8

13

PUZZLE

Which number replaces the question mark and completes the puzzle?

6 18 3 18
317 27 5 14 952 165

2 4 2

EE9A0706-0CA4-40D1-B606-7292843C01F7 9 3
12 6 9 645

4 ?

T 14 15
PUZZLE
PUZZLE
E Which number replaces the question mark
Which letter replaces the question mark
and completes the puzzle? and completes the last grid?

S AJ QC
T9 LR VM

43 IV
FH
181
SD ZV
217? GA ?E

16

PUZZLE

Which playing card replaces the question mark and completes the puzzle?

EE9A0706-0CA4-40D1-B606-7292843C01F7 18

?

166

17 18 T
E
PUZZLE PUZZLE S
T
Which number replaces the question mark Which number replaces the question mark
and completes the puzzle? and completes the pattern?

42 78 3 23 6 7

6 11 23 41 28

7 82 13

4 19 14 3

10 9 47 45 47
7 13 5?
17 5 11 ?

19 20

PUZZLE PUZZLE

Where should the minute hand point to Which letter replaces the question mark
on the bottom clock? and completes the puzzle?

? HI N AB 18
QL P EH 167
SW X OC
TK ? GD

EE9A0706-0CA4-40D1-B606-7292843C01F7

T 21
E
S PUZZLE
T
Anne Anne, Beryl and Frank are keen
Thriller Beryl readers, and like nothing more
Biography Frank than settling down with their
Romance Pete Shear favourite books. Beryl likes thrillers the
120 pgs Max Morris best, but never reads anything which is
250 pgs Lucy Carr longer than 300 pages. Anne’s book,
400 pgs 120 pgs which is only 120 pages long, features
Pete Shear 250 pgs Max Morris as its hero. Frank’s book was
Max Morris 400 pgs a good read, but didn’t feature Lucy Carr.
Lucy Carr The romantic novel did not feature Pete
Shear. From this information, can you
deduce which reader likes which kind of
book, who was the central hero of the
book they chose, and how many pages
long the books were?

Reader Book Hero Book
type length

22 23

PUZZLE PUZZLE

Which letter replaces the question mark and Which number replaces the question mark and
completes the sequence? completes the grid?

A 4 832 8

R J 52
S 73
18 43

I 5 614 ?

EE9A0706-0CA4-40D1-B606-7292843C01F7 TB

?

168

24 T
E
PUZZLE S
T
Which picture cube does this shape make?
AC

BD

25 26 18

PUZZLE PUZZLE

Which letter replaces the blank and Patrick, Mark and Peter had
completes the sequence? spent the week decorating
their elderly neighbour’s house,
CHE for which they had earned
ND £500 between them. When it
T came to dividing up the money,
LJ Patrick claimed he had worked
3 times harder than Mark, and
FE? Peter had worked twice as
hard as Patrick. If the money
was to be divided fairly, how
much did each worker receive?

EE9A0706-0CA4-40D1-B606-7292843C01F7 169

T 27
PUZZLE

E Which number replaces the question mark and completes the puzzle?

S 1157
3 12 2 6 18 2 3 17 2 5?3

T 4516

28

PUZZLE

Which number replaces the question mark and completes the puzzle?

36 29 44
21 2? 13

98 72

29

PUZZLE

Which number replaces the question mark and completes the puzzle?

362 451 645 378
18 20 24 21
12 5 20 ?

30

PUZZLE

18
What should go on the top of the last domino?

?

EE9A0706-0CA4-40D1-B606-7292843C01F7 170

1 T
E
PUZZLE S
T
What is missing in the last grid?
19
? 171

ABCDE F

2

PUZZLE

What time should the missing watch show?

2:25 4:34 1:51 6:16

A B CDE

3:36 2:19 7:56 8:09 3:20

EE9A0706-0CA4-40D1-B606-7292843C01F7

EE9A0706-0CA4-40D1-B606-7292843C01F7 T3
PUZZLE

E Which of the letters shown below replace the question mark to complete the puzzle?
S CIP
T XDKSY

FNTA I OV
DJQYE
LT?

B F I MP SWZ

4

PUZZLE

Which letter replaces the question mark and completes the puzzle?

BA

G FP V
K

19

172 L ?

5 6 T
E
PUZZLE PUZZLE S
T
What is missing from the last segment? Which number replaces the question mark and
completes the puzzle?
45
76
54 68
6? 34
26
13
?

7 8

PUZZLE PUZZLE

Which number replaces the question mark Which letter replaces the question mark
and completes the puzzle? and completes the puzzle?

44 G

69 J ?
N
96 SY W 19
FN
25
173
56

?

EE9A0706-0CA4-40D1-B606-7292843C01F7

T9 10
PUZZLE
PUZZLE
E What is missing from the last hexagon?
S Which letter completes the puzzle?

7 11 2 H T

T N Z

6 14 4 N LF

5 19 ? T

BH XR

V J

P ?

11 12

PUZZLE PUZZLE

Which number replaces the question mark Which number replaces the question mark
and completes the puzzle? and completes the puzzle?

8 3124

12 7 26 7

17 3528

19 23 4 42 ?

EE9A0706-0CA4-40D1-B606-7292843C01F7 30
174 ?

13 14 T
E
PUZZLE PUZZLE S
T
What is missing from the last octogan? Which letter completes the puzzle?

17 8 6 H?
3 8 12 RJ

15? ZF

15 16

PUZZLE PUZZLE

Which number replaces the question mark Where should the missing hand point to?
and completes the puzzle?

445

7 15 6 ? 19
62? 175

EE9A0706-0CA4-40D1-B606-7292843C01F7

T 17 18
PUZZLE
PUZZLE
E What is missing from the last hexagon?
S Which letter completes the puzzle?
T
A
8 16 11 22 ?
D
E

I

?

19 20

PUZZLE PUZZLE

Which letter replaces the question mark and Which number replaces the question mark and
completes the puzzle? completes the chain?

F N 7 8 10
AB SP
14 22 38
J Z

19

O
CJ

176 U
EE9A0706-0CA4-40D1-B606-7292843C01F7M 70 134 262
C?
?
A

21 22 T
E
PUZZLE PUZZLE S
T
What is missing from the last circle? Which letter completes the puzzle?

D JM DB

S AAG

VB? G?

23 24

PUZZLE PUZZLE

Which number replaces the question mark Which number replaces the question mark
and completes the puzzle? and completes the puzzle?

4 8 59 ?
10 8 76 67
734
15 6 87 8214

41 18 19
52 24 177

36 5?

EE9A0706-0CA4-40D1-B606-7292843C01F7

T 25
PUZZLE

E What is missing from the last circle?
S

ABCD

T

F I LO

KPUZ

PWD ?

26

PUZZLE

Which letter replaces the question mark and completes the puzzle?

DL JP EY
F K M

19

TN

EE9A0706-0CA4-40D1-B606-7292843C01F7 ?

178

27 28 T
E
PUZZLE PUZZLE S
T
What is missing from the last square? Which letter completes the puzzle?

726 F MJ P
HH
393
A TB V
54? T XQ V

JK
F BF ?

29 30

PUZZLE PUZZLE

Which numbers are the odd ones out in these Which letter replaces the question mark
two ovals? and completes the puzzle?

342 J FO
NG K 19
A 319 171 LI?

144 621 179

232

B 124 610

511 424

EE9A0706-0CA4-40D1-B606-7292843C01F7

T1 2
PUZZLE
PUZZLE
E Which letter is missing from this puzzle?
S Which letter completes the puzzle?
T HI
J O
M?
X D
EM
P ?
QR
Y T

3 4

PUZZLE PUZZLE

Which number replaces the question mark and Which number replaces the question mark and
completes the puzzle? completes the puzzle?

71 61

79 52

67 63

80 9?

EE9A0706-0CA4-40D1-B606-7292843C01F7 20

68

180 ?

5 T
E
PUZZLE S
T
What is missing from the last circle?
20
62 11 3 51 181
41 67 26
11 7
93 24

91 12 14 3 13
94 14 6 52

42 63 2?

6

PUZZLE

Which letter replaces the question mark and completes the puzzle?

HRBL
MWG Q

J VHT
PBNZ

GU I W
NBP ?

EE9A0706-0CA4-40D1-B606-7292843C01F7

T7 8
PUZZLE
PUZZLE
E What is missing from the middle circle?
S Which letter completes the puzzle?

10 9 15 DMV

T NE

? WFO

762 G?

9 10

PUZZLE PUZZLE

Which number replaces the question mark Which number replaces the question mark
and completes the puzzle? and completes the puzzle?

5

5 6 9 16 ? 6 1
7 2
20 5?
75
182
EE9A0706-0CA4-40D1-B606-7292843C01F7

11 T
E
PUZZLE S
T
Which number is missing from the last circle?

AF LX ET VF MI
6 4 6 5 ?

12 13

PUZZLE PUZZLE

Which number replaces the question mark Which letter completes the puzzle?
and completes the puzzle?
JIX
527

426 UM
32? FQ?

14

PUZZLE

Which number replaces the question mark and completes the puzzle?

5 14 12

3 16 86 7 20
16 18 ? 183

EE9A0706-0CA4-40D1-B606-7292843C01F7 11 4 9 9 3 12

T 15 16
PUZZLE
PUZZLE
E What is missing from the last circle?
S2 6 8 Which letter completes the puzzle?
T
BJ XF
373 KT GP

64? HX DT

SA
BK

Y?

17

PUZZLE

Which number replaces the question mark and completes the puzzle?

6 2 17

1 4 11

EE9A0706-0CA4-40D1-B606-7292843C01F7 37?

20

9 11 13 17 21

184

18 19 T
E
PUZZLE PUZZLE S
T
Which letters are missing from the last oval? Which letter completes the puzzle?

AJM EK ZH
WP SN

HOT WB WD
MVY QI R?
TAF
YHK 20 20
185
? PUZZLE

Which numbers replace the question mark
and complete the puzzle?

8 11

14 10

19 16

30 21

46 32

??

EE9A0706-0CA4-40D1-B606-7292843C01F7

T 21
PUZZLE

E Which of the lower letters replace the question mark to complete this puzzle?
SA
T JMB

GV YNQ
PSHKZCR

E TWL O
FIX
?

ACGJ NQUX

22

PUZZLE

Which number replaces the question mark and completes the puzzle?
71 8

90 13 ?
3 56 42 6

EE9A0706-0CA4-40D1-B606-7292843C01F7 23

PUZZLE

Which letter completes the puzzle?
20

I UF OA R
LI?

186 S G G X Z I

24 T
E
PUZZLE S
T
What is missing from the last star?
20
LKO 187

E PG NC C

AU SD T ?

25

PUZZLE

Which letter completes the puzzle?

I EY
F PX J TB
A UM?

26

PUZZLE

Which number replaces the question mark and completes the puzzle?
715

19 33 23

6 28 4 2 ?

27

PUZZLE

Which letter replaces the question mark and completes the puzzle?

EE9A0706-0CA4-40D1-B606-7292843C01F7 VG PN G?
35 154 60

T 28
PUZZLE

E Which segment fills the missing gap to complete the puzzle?
S 12
T3

45

29

PUZZLE

Which number replaces the question mark and completes the puzzle?

87 12 12 41
10 10 9 21 84

24 63
17 9?

20 30 ?

4 PUZZLE

188 Which number replaces the question mark and completes the puzzle?

7 15 31 35 19 11

EE9A0706-0CA4-40D1-B606-7292843C01F7

SOLUTIONS

TEST 1 13 - V 25 - W
Starting at the top left, and moving Starting at the top left and moving down,
1-D clockwise in a spiral towards the centre, then right one column and up etc in a
The number of black dots in each grid letters move through the alphabet in snakes and ladders pattern, letters
increases by 1 each time, starting with steps of 5. move through the alphabet 4 letters at a
the top left grid and working to the right, time.
top row then bottom row. 14 - K
The numerical values of the letters in 26 - 3
2-A opposite segments of the circle always In each group of 3 numbers, the lower
Starting with the watch on the left, add add up to 17. number equals the average of the top
42 minutes to the time shown to give two numbers.
the time on the next watch to the right. 15 - 6
The numbers in each row and column 27 - 1
3-6 add up to 15. Reading each row as a 3 digit number,
Looking at the diagram in rows, the the rows follow the sequence of square
central circle equals half the sum of the 16 - Hand pointing to 5 numbers, from 17 to 19.
numbers in the other circles to the left Starting with the top clock and moving
and right of the centre. anti-clockwise around the others, the 28 - 8,1
hour hand moves back 1 hour, then 2, Reading each row as 3 separate 2-digit
4-9 then 3 etc, while the minute hand moves numbers, the central number equals the
The number at the centre of each forward 10 minutes each time. average of the left and right hand
triangle equals the sum of the lower two numbers.
numbers minus the top number. 17 - 40
Moving from left to right, numbers 29 - A:58 B:86
5-E increase by 2,3,4 and 5. In the first oval, all numbers are
Starting with Y and moving clockwise, multiples of 8, and in the second, they
letters move backwards through the 18 - K are all multiples of 7.
alphabet in steps of 2 letters, then 3 As you move down, the numerical value
then 4 etc. of the letters follows the sequence of 30 - B
Prime Numbers. In each row, add the numerical value of
6 - 19 the left and right hand letters together
As you move diagonally down, numbers 19 - 9 and write the letter with the reverse
follow the sequence of Prime Numbers. In each square of the diagram, the sum alphabetical value in the centre.
of the numbers is always 22.
EE9A0706-0CA4-40D1-B606-7292843C01F7 7-V 189
As you move down the diagram, letters 20 - 16
move through the alphabet in steps of 4. Moving clockwise, around alternate
segments in the chain, one sequence
8 - 16 decreases by 1, 2, 3 and 4 each time,
Starting bottom left and moving clock- while the other increases by 2, 3, 4
wise around the triangle, numbers follow and 5.
the sequence of Square Numbers.
21 - 7
9-M Starting with the numbers in the top row,
Working in rows, add together the and following straight lines through the
numerical values of the left and right centre of the diagram, subtract the
hand letters to give the numerical value middle number from the top number to
of the central letter. give the corresponding value on the
bottom row.
10 - O
In each segment of the diagram are a 22 - A
pair of letters, one of which is the same Writing each letter as its numerical value
distance from the start of the alphabet and working in rows, add the top 2 digit
as the other is from the end. number to the bottom 2 digit number to
give the 3 digit result in the centre.
11 - 39
Working from top to bottom, double 23 - 13
each number and subtract 1, then 2, In each circle, starting at the top left
then 3 etc. segment, numbers increase, as you
move clockwise, by 2 for the upper left
12 - 4 circle, 3 for the upper right, 4 for the
Working in columns, the sum of the lower right and 5 for the lower left.
numbers in each column is always 14.
24 - G
The numerical values of the letters in
each row add up to 26 each time.

SOLUTIONS

TEST 2 11 - I 21 - I
Working from left to right, letters in Starting on the left, and moving
1-T corresponding segments of the circles downwards in columns from left to right,
Starting at F and moving anti-clockwise, move through the alphabet in steps of 2, letters are written in alphabetical
letters move through the alphabet in 3 and 4, with their relative positions sequence, in steps of 4 letters at a time.
steps of 2, 3, 4, 5 etc. moving one place clockwise at each
step. 22 - 4
2-Q In each triangle, the central number
Adding the three numbers in each 12 - 6 equals the sum of the three outer
square together gives the numerical On each row, add the values of the left numbers divided by two.
value of the letter at the centre of each hand and central boxes to give the
square. value in the right hand box. 23 - B
In each diagram, letters are written in
3 - Hammer 13 - V sequence, starting in the top left circle
The Hammer = 1, the File = 3 and the and moving clockwise around the other
Axe = 5 Starting at the top left, and moving anti- 3 outer circles, in steps given by the
clockwise around the figure, letters numerical value of the central letter
4-1 advance through the alphabet 5 letters each time.
Reading each pair of numbers as a at a time.
2 digit number, they follow the sequence 24 - 5
of square numbers from 6 to 9. 14 - 10 In each star, the central number equals
In each star diagram, the number in the the difference between the sum of the
5-7 centre equals the sum of the top three even numbers and the sum of the odd
Taking the top row of circles, numbers in numbers, subtracting the sum of the numbers from the points of the star.
the central circle equal the sum of the bottom two numbers.
numbers in corresponding segments of 25 - U
the left and right hand circles. In the 15 - 23 Starting on the left, and moving along
bottom row, numbers in the central Starting top left, and moving down in the line to the right, letters follow the
circle equal the difference between columns from left to right, the numbers alphabetic sequence, in steps of 1,2,3
numbers in corresponding segments of follow the sequence of Prime Numbers and then 4, before repeating the
the left and right hand circles. from 2 to 23. sequence.

6-P 16 - 10 26 - 5
Starting at the top left circle, and moving Numbers in the segments of the left In each triangle, the number at the apex
right, then down one row and moving hand circle equal the difference between of the triangle equals the average of the
left, in a snakes and ladders pattern, numbers in corresponding segments of two numbers at the bottom.
letters move through the alphabet in the two right hand circles.
steps of 2, 3 and 4, repeating this 27 - 22
pattern all the way down. 17 - E In each circle, the lower number equals
Using the numerical value of each letter, the product of the top two numbers,
7 - 253 in each column, the value of the central subtracting 3 for the left hand circle, 4
Starting at the top left, and moving letter equals the sum of the values of for the middle, and 5 for the right hand
through the diagram in a Z shape, the top and bottom letters. circle.
double each number and add 3 to give
the next number along. 18 - 1,143 28 - 2
Starting with the top 3 digit number, the Splitting the large square into quarters,
8-U first digit increases by 2 as you each quarter features the same pattern
Multiply the numerical values of the descend, from 1 to 11. The middle digit of letters.
letters in each pair to give the 3 digit decreases by 1 each time, and the right
result in the spaces above. hand digit alternates between 5 and 3. 29 - Y
Starting in the top left circle, and
9 - 51 19 - 6 following a W pattern through the
Moving to the right, double each number Numbers in the lower left circle equal others, letters in corresponding
and subtract 3 to give the next number the sum of the numbers in segments of the circles follow the
along. corresponding segments of the top two alphabetical sequence in steps of 4
circles, and numbers in the lower right letters.
circle equal the difference of the
numbers in corresponding segments of 30 - W
the top two circles. Working from left to right, letters move
forwards 7 places, then back 2. Repeat
this sequence until the end.

EE9A0706-0CA4-40D1-B606-7292843C01F7 190 10 - 2 20 - N
Starting with the 10 at the top, one set The alphabetical value of the letters in
of numbers increases by 3 each time, the left hand column follows through the
written in alternate boxes as you move sequence of Prime Numbers, with the
down the diagram, and the other set of letters in the right hand column
numbers decreases by 2, written in the representing the corresponding reverse
boxes remaining. alphabetical values.

SOLUTIONS

TEST 3 11 - 7 19 - To the 4
Reading each row of the diagram as a Start with the top left clockface, and
1-4 series of 3 digit numbers, the centre 3 move around the others in a clockwise
In each diamond, add the left and right digit number equals the sum of the top 2 direction. The value pointed to by the
hand numbers together, and subtract numbers, and the sum of the lower 2 hour hand equals the value pointed to
this sum from the top number to give numbers. by the minute hand, subtracting 4 for the
the value at the bottom. first clockface, 5 for the next, then 6 etc.
12 - A
2-7 Start on the centre left of the diagram, 20 - H
In each row of the diagram, the central and move in a clockwise spiral towards In each row, the numerical value of the
value equals the sum of the differences the centre. Letters advance through the central letter equals the difference
between the left hand pair of numbers alphabet in steps of 2, 3, 4, etc. between the sum of the numerical
and the right hand pair of numbers. values of the two left hand letters and
13 - 22 the sum of the numerical values of the
3-7 Add together values in corresponding two right hand letters.
The inner digit in each segment equals positions of the top two crosses, and put
the sum of the two numbers in the outer the results in the lower left cross. 21 -
part of the opposite segment. Calculate the difference between values
in corresponding positions of the top two Owner Property Road Value
4-K crosses, and put the results in the lower Mavis
In each row, the product of the left and right cross. Finally, add together the Harold Flat Shangri-La £75,000
right hand numbers equals the sum of values in corresponding positions of the Bette Way
the numerical values of the three letters. lower two crosses to give the values in
the central cross. Bungalow Meadow £100,000
5-H Rise
Start at the top and move down, taking 14 - T
single letters or pairs of letters that Working through the diagram in Terrace Honeysuckle £40,000
appear on the same horizontal line. The columns, left to right, The sum of the Row
sum of the numerical values of the numerical values of the letters in each
EE9A0706-0CA4-40D1-B606-7292843C01F7 letters in each line increases by 2 as column follows the sequence 17, 18, 19 22 - C 191
you go down, from 18 to 26. and 20. Start on the far left of the diagram and
move around it in a clockwise direction.
6-0 15 - 2 Letters advance through the alphabet in
In each row of each grid, multiply the Start with the top left hand box, and steps of 8 then 9, repeating this pattern
left and right hand numbers together to move around the others in a clockwise all the way around.
give a digit value, and write this value in spiral towards the centre. Read each
the two centre boxes. box as a pair of 2 digit numbers, one 23 - 12
above the other. The sum of the 2 digit The value at each corner of the diagram
7-F numbers in each box follows the equals the difference between the sums
In each star shape, the sum of the sequence 55, 60, 65, 70 and 75. of the numerical values of the letters in
numerical values of the letters bounded the boxes adjacent to the corner.
by one triangle is equal to that of the 16 - 9 of Clubs
other triangle. Taking red cards as positive values and 24 - C
black cards as negative values, in each
8-5 column of the diagram, the lower card 25 - E
In each H shape, the central number is value equals the sum of the two upper Working through the diagram in rows,
equal to the difference between the sum card values. The suits are used from top to bottom, the sum of the
of the 3 left hand numbers and the sum alternately in each column. numerical values of the letters in each
of the 3 right hand numbers. row follows the sequence 15, 20, 25, 30,
17 - Z 35.
9-E Read the diagram as a whole grid of
In each stick-man diagram, start on the 4x4 squares. Starting on the bottom left 26 - Joe has 7 marbles, John has 5.
left foot and move around the other square, move clockwise around the out-
limbs in a clockwise direction. The side of the whole square, with letters 27 - 6
letters advance through the alphabet in written in sequence, skipping 4 letters at In each group of circles, the centre
steps given by the numerical value of a time. Repeat this instruction for the number equals the average of the four
the letter on the head of the diagram. small inner square. surrounding numbers.

10 - B 18 - X 28 - 11
Add together the numerical values of Start at the top left and move in Split the left and right hand circles in
the letters in corresponding positions on alternate boxes from left to right, then half, vertically. The sum of the numbers
the left and right hand triangles, and put down one row and to the left, in a in the left hand half of the left circle
the letter with this value in correspond- snakes and ladders pattern. Letters appears in the top left hand segment of
ing segments of the centre triangle. advance through the alphabet in steps the middle circle, and the sum of the
of 2, 3, 4...8, before repeating this numbers in the right hand half of the left
pattern. hand circle appears in the bottom left
hand segment of the middle circle.
Repeat this pattern for the right hand
circle.

29 - 7
In each diagram, the sum of the upper
left and upper middle numbers is written
in the centre box, and the sum of the
upper right and upper middle numbers
is written in the lower central box.

30 - 5
Taking pairs of dominoes, one from the
extreme left of the row and one from the
extreme right of the row, both show the
same point total. Repeat this sequence,
working towards the centre.

SOLUTIONS

TEST 4 12 - 3 23 - G
Reading each column as a 3 digit Following lines of circles across all 3
1-6 number, moving from left to right, the diagrams, letters in the top line follow
The number at the centre of each columns follow the sequence of cube the alphabetic sequence, in steps of 4
segment equals the sum of the numbers numbers of 5, 6 and 7. letters at a time. Letters in the central
on the outside of the opposite segment. line advance 5 letters, and in the bottom
13 - A line, 6 letters.
2-I Converting each letter to its numerical
Letters are arranged in each square in value, the diagram represents a 24 - 6
alphabetical order, skipping 5 letters at a subtraction sum: 247 - 54 = 193. The number in the centre of each star
time. The letter bounded by the central equals the average of the surrounding 5
square carries on this sequence, but 14 - 13 numbers.
using the reverse alphabetical value. In each star, the central value equals
the sum of the upper and lower digits on 25 - F
3 - Alarm clock each star, subtracting the sum of the left Moving from left to right, letters move
The Alarm clock = 7, the Adaptor = 5 and right hand digits. though the alphabet in sequence,
and the Bulb = 2 skipping 12 letters, then 11, 10, 9, 8 etc.
15 - T
4 - 23 Starting on the top left, and moving in 26 - 43
Looking at the diagram as two columns, an anti-clockwise spiral towards the In each triangle, multiply the lower two
numbers in the left hand column centre, letters advance through the numbers together and add the upper
increase by 5, 6, 7 etc, and numbers in alphabet by 3 letters at a time. number to give the value at the centre.
the right hand column increase by 6, 7,
8 etc. 16 - 6 27 - D
In each circle, double the numbers on The numerical values of the letters in
5-5 the left hand side and put the result in each circle add up to 20.
The numbers in the lower circles equal the opposite segment on the right hand
the numbers in corresponding segments side. 28 - 4
in the upper circles multiplied by two, Each row of the grid contains each of
then subtract 3 for the left hand circle, 4 17 - W the 10 digits, 0 to 9, written in a random
for the middle and 5 for the right hand Looking at the diagram in columns, order.
circle. letters in the first column are written with
2 straight lines, in the second column 29 - 6
6-O they contain 3 straight lines, and letters Numbers in the segments of the lower
In each row, letters follow the alphabetic in the right hand column are written with left circle equal the sum of the numbers
sequence, in steps of 4 letters each time 4 straight lines. in the upper left and central circles.
for the first row, 5 letters for the second, Numbers in the segments of the lower
then 6, 7 etc. 18 - 4 right circle equal the sum of the
Adding up the digits in each oval shape, numbers in corresponding segments of
7-2 as you move down the column this total the upper right and central circles.
The diagram represents a multiplication increases by 2 each time, from 12 to 22.
sum : 128 x 2 = 256 30 - S
19 - 1 Taking the numerical value of each
8-H In each circle, the number in the lower letter, they follow the sequence of Prime
In each row of the diagram, left segment equals the sum of the Numbers.
the numerical values of the letters add numbers in the top two segments, and
EE9A0706-0CA4-40D1-B606-7292843C01F7 192 up to 26. the number in the lower right circle
equals the difference between the
9 - 96 numbers in the top two segments.
Moving from left to right, numbers follow
the sequence of square numbers, from 20 - C
6 to 10, subtracting 4 each time. If you convert each letter to its
numerical value, and read pairs of
10 - 9 numbers as 2 digit values, the values
Reading each pair of numbers in a row follow the sequence of multiples of 7.
as a 2 digit number, values increase by
6 each time. 21 - 2
Working in rows, the sum of numbers in
11 - X each row follows the sequence 5, 10,
In each circle, start with the top left 15, 20, 15, 10, 5.
segment, and move clockwise around
the other segments. The value of each 22 - 9
letter increases by 5 for the first circle, 6 Working from left to right, the sum of the
for the next, then 7, 8 and 9. two smaller numbers on each triangle
equals the third number.

SOLUTIONS

TEST 5 12 - 9 24 - 1
Reading each horizontal line as a 4 digit Starting with the bottom line of the
1-A number, add together the top two rows triangle and moving up, the sum of the
Working from left to right, top row then to give the result in the third row, and digits in each line decreases by 5 each
bottom row, the first grid contains a subtract the first row number from the time, from 20 to 5.
sequence of 2 black dots and a second to give the result in the fourth
sequence of 3. The next grid contains row. 25 - C
one of 3 and one of 4. Continue, adding Converting each letter to its numerical
1 to each sequence every time. 13 - K value, and reading pairs of circles as 2
Working in columns, add together the digit numbers, arranged in two vertical
2-E numerical values of the first and second columns, numbers follow the sequence
The sum of the separate digits on each letters, and put the letter with the of multiples of 7, starting with 14 and
watch increases by 2 as you move to reverse alphabetical value of this sum in ending with 63.
the right. the bottom space.
26 - 2
3-N 14 - S Numbers in the squares of the top
Starting with the A on the left hand side, Starting with the G, move clockwise middle figure equal the sum of the
move around the shape in a clockwise around the circle, in steps of 3 letters, numbers in corresponding squares of
spiral towards the centre. Letters then 4, 5, 6 and 7. the other 3 figures.
advance through the alphabet in steps
of 4, 5 then 6, repeating this pattern all 15 - 3 27 - 13
the way around. In each row, the sum of the digits is 10. Starting at the top left and working
down, then to the right and up, and
4 - 10 16 - Hour hand is pointing to 2. finally to the right and down in a zig-zag
The numbers on the points of the lower Multiply the hour hand value by 2 and shape, numbers follow the repeated
triangle equal the sum of the numbers add the minute hand value. This total is sequence, subtracting 1 then adding 3
on corresponding points of the upper always 15. etc.
two triangles.
17 - 21 28 - 4
5-G Each number represents the numerical Working in rows from top to bottom, the
Starting with A and C, as you move value of the vowels in the alphabet. sum of the digits in each row increases
clockwise, the numerical value of the by 2 each time, from 20 to 30.
next letter equals the sum of the 18 - I
preceding two letters. As you move down, letters are written in 29 - A:15
alphabetical order, skipping any letters B:38
6-O written with curved lines.
As you move down, letters appear in In the first oval, all numbers are Prime
alphabetical order, skipping those letters 19 - F Numbers.
only written with straight lines. Starting with the top segment of the top In the second oval, all numbers are
left square and moving clockwise Square Numbers.
7 - 37 around the other 3 squares, letters
As you move down, subtract 3 from the move through the alphabet in steps of 2, 30 - 3
previous number, then 5, 7, 9 and 11. with the positions moving one place Working in rows, the number in the
clockwise each time. Letters in the next central oval equals the sum of the left
8 - 11 segment of the top left square follow the and right hand numbers, divided by 3.
Taking any side of the triangle, the sum same pattern, in steps of 3 letters etc.
EE9A0706-0CA4-40D1-B606-7292843C01F7 of the two corner digits is written in one 193
of the circles on that side, and the 20 - 26
difference is written in the other circle. Moving clockwise around the chain,
numbers increase by 4, then 3, then 2,
9-W before repeating this pattern.
Starting at the top left, and moving to
the right, then down one row and to the 21 - 42
left etc. in a snakes and ladders pattern, Starting in the top left and moving in a Z
letters advance through the alphabet by shape around the diagram, each
5 steps, then back 2, repeating this number equals the sum of the previous
pattern for the rest of the diagram. 2 numbers.

10 - S 22 - D
Taking pairs of letters in the inner and Starting with the bottom right letter and
outer segments of each eighth of the moving in a clockwise spiral around the
diagram, the numerical values always diagram towards the centre, letters
add up to 20. advance through the alphabet six letters
at a time.
11 - 90
As you move down, the numbers 23 - 2
represent multiples of 12, subtracting 1, The numbers in the segments of the top
for the first step, adding 2 for the left circle equal the sum of the numbers
second, subtracting 3 for the third, in corresponding segments of the lower
adding 4 for the next etc. etc. two circles, and the numbers in the top
right circle equal the difference between
numbers in corresponding segments of
the lower two circles.

SOLUTIONS

TEST 6 10 - P 20 - G
Start at the top of the left hand triangle Convert each letter to its numerical
1-M and move in horizontal lines, from left to value, and read each pair of values as 2
The 4 diagrams as a whole contain 2 right, across all the triangles at once, digit numbers. In each row, the number
sequences of letters. The first starts at top to bottom. Letters are written in in the centre equals the difference
the top of the top left hand diamond, sequence, skipping 2 letters, then 3, between the 2 digit values on the left
and goes vertically downwards, then up then 4, before repeating this sequence. and right.
to the top of the top right hand diamond
and down again. Letters in this 11 - B 21 -
sequence are written in alphabetical In each row of the diagram, the reverse
order, in steps of 4 letters at a time. The alphabetical value of the central letter Theatre Play Opening Ticket
second sequence starts on the left hand equals the sum of the left and right hand group Macbeth month price
segment of the upper left diamond and digits. £10
moves in horizontal lines from left to Piecrust June
right, top row then bottom row, with the 12 - 12 £3
letters written in alphabetical order in The diagram contains two diamonds of RSC Othello October
steps of 5 letters at a time. 3x3 circles, arranged side by side, with CAD March £6
the central 4 circles overlapping. Julius
2-L Starting in the central left circle of each Caesar
Moving down the first column, up the diamond, the numbers from 1 to 9 are
second, down the third etc. letters written in lines, moving up and to the 22 - 1
increase by 7 in each alternate circles. right. In the circles where the diamonds Taking any series of 3 numbers in a
overlap, the values are added together straight line in the diagram, their total is
3-7 to give the ones shown on the final always 19.
In each segment of the circle, multiply diagram.
the outer 2 numbers together and 23 - Y
subtract the sum of the outer 2 numbers 13 - 1 Start in the top left hand corner and
in the opposite segment to give the Add up the four outer numbers and move anti clockwise around the
value in the inner grey segment. place your answer in the centre square perimeter of the square. Letters are
of the shape one place clockwise. written in alphabetical order, skipping 1
4-Q letter, then 2 letters, then 3 etc.
Converting all letters to their numerical 14 - N
values, the middle section of each row Working in columns from top to bottom, 24 - A
of the diagram contains a list of letters left to right, letters are written in alpha-
which are common multiples of a betic sequence, in steps of 3 letters, 25 - 1
number, given by the value of the letter then 4, then 5 etc. Working from the top row, add the
in the right hand box. One letter in each values in adjacent boxes and put this
row does not follow this sequence, and 15 - I sum in the box directly below, working
is put in the left hand box. Starting with the letters in the top left towards the centre. Repeat this pattern
square, and moving around the other starting at the bottom row as well.
5-S squares in a clockwise spiral towards
Join pairs of letters at opposite sides of the centre, letters advance through the 26 - The bottle is worth 50p, and the
the diagram, with lines which run alphabet in steps of 4 letters at a time, perfume is worth £9.50
through the centre. The sum of the with the relative positions of each letter
numerical values of the pairs of letters is moving 1/4 turn clockwise at each step. 27 - S
always 25. Start with the top left circle, and move in
16 - King of Clubs horizontal lines from left to right, top to
6-1 Start at the top left of the diagram and bottom, across all 4 shapes. Letters are
Values in the lower left table equal the move to the right, then down one row written in alphabetical order, in steps of
sums of the values in corresponding and to the left etc. in a snakes and 5 letters at a time.
positions of the top two tables, and ladders pattern. The value of each card
values in the lower right table equal the increases by 5 each time, with their suit 28 - H
difference in values in corresponding following the sequence of hearts, clubs, Start at the top left segment of the left
positions of the top two tables. diamonds and spades. hand circle and move clockwise, then to
the middle circle and move anti-clock-
7-N 17 - B wise, and finally to the right hand circle
In each star, start at the bottom and Start with the top left square and move and move clockwise again. Letters are
move anti-clockwise around the points. clockwise around the others. The sum written in alphabetical order, in steps of
Letters follow the alphabetic sequence, of the numerical values of the letters in 4 letters at a time.
in steps of 8 letters, for the left hand each square follows the sequence 20,
circle, 9 for the central one and 10 for 25, 30 and 35. 29 - V
the right hand circle. Starting with the upper left hand box of
18 - 1 the left hand diagram, and moving to the
8-3 Split the grid in half vertically, to give right, letters follow the alphabetical
In each diagram, the numerical value of two columns, 3 squares wide. Working order, 5 letters at a time. A second
the left hand letter equals the product of from top to bottom, left then right, and sequence starts from the middle of this
the upper and lower left hand numbers, reading each 3 square row as a whole 3 row and goes down, with letters
and the right hand letter equals the digit number, the columns follow the following the alphabetic order, 6 letters
product of the upper and lower right sequence of square numbers, from 10 at a time. Repeat this pattern for the
hand numbers. The numerical value of to 21. other diagrams, using steps of 6 and 7
the central letter equals the sum of the letters, 7 and 8 letters, and 8 and 9
numerical values of the left and right 19 - Five minutes to Ten letters.
hand letters. Start with the top left clockface, and
EE9A0706-0CA4-40D1-B606-7292843C01F7 194 move around the others clockwise. The 30 - 5
9-5 minute hand moves backwards by 15 Take each half of the dominoes
In each diagram, the sum of the three minutes, then 20, then 25 etc, while the separately, add together the spots
upper numbers equals the product of hour hand moves forward 2 hours, then shown on the first two pieces to get the
the two lower numbers. 3, then 4 etc. third domino, then add together the spot
from the second and third to get the
fourth, etc. Return to 0 whenever the
spot total exceeds 6.

SOLUTIONS

TEST 7 13 - G 24 - F
Starting at the top left and working Starting with the B on the lower right of
1-E anti-clockwise towards the centre in a the triangle, and following the diagram
In each row, the left hand grid is spiral, letters advance through the round in a clockwise direction, letters
symmetrical around a vertical axis, the alphabet in steps of 8 at a time. move through the alphabet in steps of 5.
central grid is symmetrical about a
horizontal axis, and the right hand grid 14 - F 25 - A
is symmetrical about a diagonal axis, Taking pairs of letters in adjacent In each column of the diagram, the sum
running bottom left to top right. segments, their numerical values always of the numerical values of the letters is
add up to 10. always 25.
2-A
As you move from left to right, the time 15 - 2 26 - W
shown on each watch decreases by 12 The sum of the 4 digits at the corners of In each group of 3 squares, starting on
minutes, then 24, 36 and 48. the diagram is 17, as is the sum of the 4 the upper left and moving clockwise
digits in the middle of each side of the around the other 2 squares, letters
3-4 diagram. follow the alphabetic sequence in steps
Working in rows, from top to bottom, the of 6 for the left hand diagram, 7 for the
sum of the digits in each row increases 16 - Hour hand points to 8 upper middle, 8 for the right hand
by 2 each time, from 8 to 16. Starting with the top clockface, and diagram and 9 for the lower one.
moving clockwise around the others, the
4-9 minute hand moves forward 15 minutes, 27 - 56
Working clockwise around the 3 while the hour hand moves back 2 Starting at the top left and moving down,
triangles, the sum of the outer digits in hours each time. then to the right and up, in a snakes and
each triangle is written in the centre of ladders pattern, add the first two
the triangle one place clockwise. 17 - V numbers together and subtract 1 to get
Each hexagon is filled with the letter of the next in the sequence.
5-N the alphabet you find one place after the
Starting with B and moving clockwise, vowels. 28 - 6
letters advance through the alphabet in Divide the whole diagram into 4 equal
steps of 2, then 4, 6, 8 and 10. 18 - J quarters, each comprising of a 3x3
Adding 1 to the numerical values of square. The sequence of numbers in
6 - 72 each letter gives the sequence of Prime the top left quarter is repeated in each
Numbers follow the sequence of Square Numbers. of the other quarters, but increasing by
Numbers, from 1 to 6, multiplying each 1 each time as you move clockwise.
one by 2. 19 - 9
Starting with the top left square, and 29 - A:11
7 - 68 moving clockwise around the other 3, B:16
As you move down, multiply each the sum of the digits in each square
number by 2 and subtract 4. follows the sequence 20, 19, 18, 17. In the first oval, each number represents
the numerical value of the vowels in the
8-2 20 - 71 alphabet. In the second oval, each
The sum of the numbers along each As you move clockwise around the number represents the numerical value
side of the triangle is always 15. diagram, add the previous 2 numbers of letters of the alphabet written with
together and subtract 3 to give the next only straight lines.
9-I number in the chain.
Convert each letter into its numerical 30 - 4
value, and read each row as a 3 digit 21 - 9 In each row of the diagram, the sum of
number. Rows follow the sequence of Starting with the numbers in the top row, the left and right hand digits, minus the
Square Numbers from 15 to 17. and following straight lines through the central digit is always 8.
centre of the diagram, subtract 3 from
10 - W the number and put the result in the
Starting with the top left outer segment corresponding lower circle.
and moving clockwise, letters advance
through the alphabet in steps of 4, then 22 - 2
5, 6, 7 etc. The letters in the inner Reading the top and bottom lines as 2
segments follow the same pattern, but digit numbers, multiply these together to
move anti-clockwise. give the 3 digit result, written in the
middle.

EE9A0706-0CA4-40D1-B606-7292843C01F7 11 - 16 23 - 1 195
As you move downwards, numbers Numbers in the segments of the lower
increase by 3, then 2, then 1, before left circle equal the sum of the digits in
repeating this pattern. corresponding segments of the upper
circles. Numbers in the lower right circle
12 - 7 equal the difference between numbers
The numbers in each row of the in corresponding segments of the upper
diagram add up to 18. circles.

SOLUTIONS

TEST 8 12 - 16 25 - V
Working in columns, starting with the top Starting with the B in the top left, and
1-8 number, add 4 to give the next value moving left to right across the diagram
Divide the circle, horizontally and down, and add 5 to give the one under in horizontal lines, letters advance
vertically, to give 4 quarters. The sum of that. through the alphabet in steps of 6 letters
the numbers in the segments of each at a time.
quarter equals 11. 13 - Z
Starting at the top left of the diagram, 26 - 21
2-K and moving around it in a Z shape, In each triangle, add the lower 2 digits
Add 6 to the numerical value of each of letters follow the alphabetic sequence, together and multiply by the upper digit
the larger letters, and write the letter in steps of 6 letters at a time. to give the result in the centre.
with this value in the smaller square
diagonally opposite. 14 - 11 27 - 1
In each star, add together the top 3 In each circle, add together the numbers
3 - Carriage numbers, and subtract the lower 2 in the left and right hand segments, and
The Carriage = 2, the Car = 3 and the numbers, to give the value in the centre subtract 2 to give the result in the lower
Bus = 6 of each star. segment.

4-D 15 - T 28 - 1
Converting each letter to its numerical Working in rows, the numerical value of Start at the top left and move down,
value and reading each line as a 2 digit the letter in the right hand column then along one space to the right and
number, the numbers follow the equals the sum of the numerical values up the next column, in a snakes and
sequence of multiples of 6, from 36 to of the letters in the left and central ladders pattern. Letters are written in
54. columns. alternate squares, in steps of 2 letters at
a time.
5-O 16 - T
Starting with the left hand circle in the Starting with the top left segment of 29 - 1
top row, add 4 to the numerical value of each circle, and moving clockwise, Using the numbers in the segments of
each letter and write the letter with this letters follow the alphabetic sequence, the lower two circles, the numbers in the
value in the corresponding segment of in steps of 3 letters for the top circle, 4 upper left circle equal the sum of the
the lower left circle. Continue this letters for the left hand circle, and 5 numbers in corresponding segments of
pattern, adding 5 to the letter values in letters for the bottom circle. the lower 2 circles, the numbers in the
the central circle, and 6 in the right hand upper central circle equal the difference
circle. 17 - 3 between numbers in corresponding
In each row of the diagram, add the left segments of the lower 2 circles, and the
6-A and right hand digits together and add 2 numbers in the upper right circle equal
Start at the top left of the diagram, and to give the result in the centre. the product of the numbers in
work down the left hand column, then corresponding segments of the lower 2
along one space to the right and up the 18 - 601 circles.
next column, in a snakes and ladders Starting at the top, double each number
pattern, write the following repeated and add 7 to give the next number 30 - 0
sequence of letters: A C P R F D U down. Working from left to right and reading
each pair of numbers as a 2 digit value,
7-6 19 - L these values represent the sequence of
Working through the diagram in rows, In each circle, the numerical value of the multiples of 7, starting at 49 and
and reading each row as a whole letter in the lower left quarter equals the finishing on 70.
number, the diagram represents a sum of the numerical values of the
EE9A0706-0CA4-40D1-B606-7292843C01F7 196 subtraction sum : upper 2 letters, and the numerical value
203 - 7 = 196 of the letter in the lower right quarter
equals the difference between the
8-C numerical values of the upper 2 letters.
Convert each letter to it’s numerical
value, and read horizontal lines as 2 or 20 - 92
3 digit numbers. Add the top 3 digit Working from top to bottom, left to right,
number to the 2 digit number below to add together the first two numbers and
give 200, repeat this pattern for the 3 subtract 3 to give the next value along.
and 2 digit numbers underneath.
21 - E
9 - 39 Start at the top of the diagram, and work
Moving from left to right, add 6 to the through each row from left to right.
first number to get the next one along, Letters move through the alphabet,
then 8, 10 and 12 to complete the In steps of 3 letters, then 4, 5 and 6,
sequence. repeating this sequence

10 - 16 22 - 47
Starting with the top left number, and Starting at the top on the left, and
working down one row at a time, working in rows across the 3 triangles,
alternating between left and right, values increase by 2, then 3, then 4 etc.
double the number each time. Repeat
this sequence, starting with the top right 23 - P
number. In each diagram, starting on the top left
and moving clockwise in a spiral
11 - 1 towards the centre, letters increase in
Numbers in segments of the central value by 3 for the left hand diagram, 4
circle equal the difference between the for the middle, and 5 for the right hand
sum of the numbers in corresponding diagram.
segments of the left two and right two
circles. 24 - 9
In each star, the average of the outer 3
numbers is written in the centre of the
star.

SOLUTIONS

TEST 9 11 - 6 19 - To the 5
Calculating the sum of the 3 numbers in Start with the top left clockface, and
1-K each row, from top to bottom, the rows move around the others in a clockwise
In each square, start with the left hand follow the sequence of 11, 13, 15 etc. direction. The sum of the numbers
segment, and move clockwise around pointed to by the hour and minute hand
the others. Letters are written in 12 - 5 follows the sequence 14, 15, 16, 17 and
alphabetical order in steps of 10 for the Start with the row of 4 numbers in the 18.
top left square, 11 for the top right, 12 centre of the diagram, and add adjacent
for the lower left and 13 for the lower pairs of numbers together, putting the 20 - B
right. results in the circles directly above. In each row, the value in the centre
Repeat this pattern for the next row up. equals the difference between the sum
2-3 Next, calculate the difference between of the numerical values of the pair of
Work through the diagram in columns. adjacent numbers in the middle row, letters to the left and the pair of letters
The value in the centre of each column putting the results in the circles directly to the right.
equals the difference between the sum below. Repeat this pattern for the next
of the top 2 numbers and the bottom row down. 21 - Injury Crop Day
two numbers. Back
13 - F Gardener Knee Roses Wednesday
3-2 Two sequences are used in these five Bob Elbow
In each slice of the circle, the difference grids, both only using the lines Mike Apples Friday
between the outer and middle numbers containing three letters. Firstly, move
is written in the inner segment of the along the horizontal lines from top left to Sandra Potatoes Monday
opposite slice. bottom right in steps of four, starting
with the A. Secondly, move down the 22 - K 197
4-J vertical lines in steps of six, starting with The sum of the letters in the three
Start on the top left of the diagram and the E. Whenever two numbers cross adjacent circles on each side of the
work from top to bottom in columns, add the numerical values together and diagram is always 30.
from left to right. Letters are written in put the solution in the middle of each
alphabetic order, in a repeated cross. 23 - D
sequence of steps of 5, 6 and 7. The diagram contains 3 sets of 4 letters
14 - 6 - one set of outer corner letters, one set
5-4 Start with the numbers along the top of inner corner letters, and one set of
Calculate the difference between right diagonal of the diagram, and add letters on each side of the square. The
adjacent numbers in the centre of each pairs of adjacent numbers together, numerical values of the letters in each
oval and put the result in the space putting the result in the square to the set add up to 40.
between the two ovals in the opposite lower left of the original pair of numbers.
side of the diagram. Continue in this way towards the lower 24 - C
left hand corner.
6 - 11 25 - D
Numbers in the top right hand grid equal 15 - 14 Start with the C at the centre of the
the sum of the numbers in Add together numbers in corresponding diagram and follow 2 sequences of
corresponding positions in the upper segments of the upper 2 squares, and letters, both clockwise from the C, one
and lower left hand grids, and numbers put the results in the middle square. around the upper half of the diagram,
in the lower right hand grid equal the Numbers in the lower left square equal and one around the lower half. Letters in
difference between numbers in the product of the upper left and central the upper half advance through the
corresponding positions in the upper squares, and numbers in the lower right alphabet in steps of 7 letters at a time,
and lower left hand grids. square equal the product of the upper and letters in the lower half advance in
right and central squares. steps of 9.
7-Q
Treat each star as 2 intersecting 16 - 7 (any suit) 26 - 7 people
triangles, and start on the top or the left Taking the value of Aces as 1 and all
of each triangle in each star and move court cards as 10, In each column of the 27 - X
clockwise around it. Letters are written diagram, the value of the sum of the 3 In each diagram, the central letter falls
in alphabetical order in steps of 6 for the cards is always 21. midway between the left and right hand
left hand star, 7 for the central one and letters, and the top and bottom letters.
8 for the right hand star. 17 - K
Start with the top left hand segment of 28 - 4
8-6 the top left hand square, and move Split the left and right hand circles into 2
In each diagram, the central value around the other squares in a clockwise halves vertically. The numerical value of
equals the difference between the sums direction. Letters are written in the letter in the upper left segment of
of the numbers in the left hand column sequence in steps of 5 letters at a time the central circle equals the sum of the
and the sums of the numbers in the for the top left segment, 6 letters for the numbers in the left half of the left hand
right hand column. top right, 7 for the bottom right and 8 for circle, and the letter in the lower left
the bottom left. The relative positions of equals the sum of the numbers in the
9 - 14 the letters in each sequence move 1 right half of the left hand circle. Repeat
In each diagram, the number at the top segment clockwise at every step. this pattern for the right hand circle.
equals the average of the four smaller
numbers. 18 - S 29 - I
Split the diagram into 3 rows, each 2 Start on the upper left of each diagram,
10 - 11 boxes high. In the top double row, and move to the right, then down the
In each triangular group of circles, start letters are written in sequence, from left last 2 boxes in the centre. Letters are
with the longest row and add together 3 to right, alternating between the upper written in alphabetical order, in steps of
adjacent values and put this sum in the and lower row, in steps of 6 letters at a 5 for the left hand diagram, 6 for the
circle directly above or below the centre time. The middle row follows the same next, then 7, then 8.
of the 3 values. Continue this sequence sequence, in steps of 7 letters at a time,
towards the apex of each triangle. as does the bottom row, in steps of 8 30 - 3
letters. Starting on the left and working to the
right, take pairs of dominoes and
calculate the sum of the dots they are
displaying. This sum follows the
sequence 3, 6, 9 and 12.

EE9A0706-0CA4-40D1-B606-7292843C01F7

SOLUTIONS

EE9A0706-0CA4-40D1-B606-7292843C01F7 198 TEST 10 10 - 6 21 - L
Working from top to bottom, and Start at the top of the diagram and work
1-K reading each pair of boxes as a 2 digit in rows, from left to right, top to bottom.
Split the circle into 4 quarters, number, add 10 to the first number to Letters move through the alphabet in
horizontally and vertically, with 2 give the next one down, then add 15, steps of 4, 5, 6, 7, 8, 9 and 10, before
segments each. Starting with the top left and 20 to complete the sequence. repeating this sequence.
segment, the sum of the numerical
values of the letters in the 2 segments 11 - 13 22 - 6
equals 15. The sum of the next pair of As you move from left to right, the sum In each triangle, add together the lower
segments clockwise equals 16, then 17, of the digits in each circle forms a two digits and subtract 2 for the left
then 18. sequence of multiples of 6, from 6 to 30. hand triangle, 3 for the middle and 4 for
the right hand triangle, putting the result
2-9 12 - 6 at the apex of the triangle.
Taking numbers in diagonally opposite Working in rows, the central value
squares, calculate their sum, and put equals the difference between the left 23 - 9
the answer in the small, inner square of and right hand values. Add together the four outer numbers in
the upper number. Calculate their each diagram. Divide this answer by
difference, and put this answer in the 13 - 18 two to get the middle number.
small, inner square of the lower number. Starting on the top left, and moving
clockwise around the diagram, add the 24 - X
3 - Doughnut first two values together to give the next Starting with the top letter in each star,
The Doughnut = 4, the Eclair = 6 and value along. Repeat this sequence. and moving clockwise around the
the Bun = 7 others, letters advance through the
14 - 6 alphabet in steps of 8 for the left hand
4-Q For each star, add the outer numbers star, 9 for the central star, and 10 for the
Taking each pair of letters in each row, together and divide by 3 for the left right hand star.
the numerical value of one letter equals hand, 4 for the centre, and 5 for the
the inverse numerical value of the other right hand, putting the result in the 25 - V
letter. centre. Working from left to right, following the
zig-zag pattern of the line, letters move
5-1 15 - O through the alphabet skipping 15 letters,
Starting with the 3 circles in the top row, Start on the top left and move down, then 14, then 13 etc.
add together values in corresponding then right one space and up etc in a
segments of the left and right hand snakes and ladders pattern. Letters 26 - 12
halves of the left hand circle, and put advance through the alphabet in steps In each triangle, the central value
the results in corresponding segments of 5. equals the average of the 3 values
of the left hand half of the central circle. around the outside.
Repeat this pattern for the left and right 16 - U
hand segments of the right hand circle. Start with the letters in the left hand 27 - 27
For the lower row, follow the same circle. Subtract 3 from the numerical In each circle, multiply the top two
pattern, but calculating the differences values of each letter, and put the letter numbers together, and divide by 2 for
between values in the left and right with this value in the corresponding the left hand circle, 3 for the centre, and
hand halves of the left and right hand segments of the upper circle. Repeat 4 for the right hand circle, putting the
circles, putting the results in the central this pattern, adding 3 to the numerical result in the lower segment.
circle. values of the letters, and putting the
results in corresponding segments of 28 - 2
6-H the lower circle. Split the diagram horizontally and
Start on the top left of the diagram, and vertically into 4 quarters. A sequence of
move clockwise in a spiral towards the 17 - N letters is written in each quarter,
centre. Letters advance through the Moving from left to right, top to bottom following the alphabetic order, 3 letters
alphabet in steps of 5. letters follow alphabetical order, at a time, starting with the upper left
skipping any letters written with curved quarter. Add 2 to the values of each
7-I lines. letter to give the letters in the next
Start at the top left, and work through quarter clockwise, then 3, then 4.
the diagram in a Z shape, letters move 18 - S
through the alphabet in steps of 6, then Working from top to bottom, the 29 - 5
7, then 8 etc. numerical values of the letters follow the Take values in the top left and centre
sequence of Prime Numbers, adding 1, circles and put their sum in correspond-
8-1 then 2, then 3 etc. ing segments of the lower left circle.
Taking the top 3 numbers, add them Take values in the middle and right
together, and write the 2 digit result in 19 - 12 hand circles, and put their difference
the spaces below. Repeat this pattern Add together numbers in corresponding into corresponding segments of the
for the next set of numbers. segments of the upper two and lower lower right circle.
left circles to give the values in
9-6 corresponding segments of the lower 30 - 22
Working from left to right, numbers right circle. Working from left to right, add numbers
represent the reverse alphabetical in the first two boxes together, and
values of the vowels in the alphabet. 20 - 3 subtract 4, to give the next value along.
Starting at the top and moving down,
reading each pair of boxes as a 2 digit
number, add the separate digits to the 2
digit number as a whole, and put the
result in the 2 boxes below. Continue
this sequence as you move down.

SOLUTIONS

TEST 11 11 - 849 22 - 2
Working from top to bottom, add 1 to Reading each row as a whole number,
1-F each number and multiply by 3 to give multiply the top 2 digit number by the
In each diagram, the black circles join the next value down. lower 2 digit number to give the result
together to make straight sided represented by the middle 3 digit
polygons. Working from left to right, top 12 - 6 number.
row then bottom row, the number of Working in rows, from top to bottom,
sides in each polygon increases by 1 and reading each row as a 4 digit 23 - 13
each time, from 3 to 8. number, rows follow the sequence of Starting with the top circles, multiply
Cube Numbers, from 13 to 16. each value by 2 and subtract 3, writing
2-D the result in the corresponding segment
On each watch, the sum of the digits 13 - 8 of the lower circle.
shown equals 8. Starting in the top left and working in
columns, add the first two numbers 24 - 6
3-F together and add 1 to give the number Numbers in boxes from the second row
Working in rows, from top to bottom, the at the bottom of each row. up equal the average of the 2 numbers
sum of the numerical values of the in the boxes directly below. Continue to
letters in each row starts at 12, and 14 - L the apex of the triangle.
increases by 2 as you go down each Starting with the A in the top left
row. segment of the circle, and moving 25 - O
clockwise, letters follow a modified Working in rows, from left to right, in the
4 - 32 alphabetic sequence. To make the top row add 3 to the numerical value of
In each triangle, add together the lower sequence, write the alphabet, removing the first letter to give the next one along,
2 digits, and multiply this by the top all letters written with any curved lines, then 4, then 5. In the next row, add 5 to
digit, to give the value written in the then take alternate letters from this the first letter, then 6, then 7. In the third
centre of the triangle. sequence. row, start by adding 7, then 8, then 9,
and in the bottom row, add 9, then 10,
5-G 15 - 1 then 11.
The numerical values of the letters in The four numbers in the corners of the
opposite segments of the circle add up square, and the four numbers in the 26 - O
to 16 each time. middle of each side of the square add In each group of 3 boxes, the numerical
up to 21. value in the lower box equals the
6-H average of the numerical values of the
Working from top to bottom, letters are 16 - The hour hand points to the 4. letters in the top 2 boxes.
written in pairs. Take the 2 digit The sum of the values pointed to by the
numerical value of the first letter and hands on each clock equals 12. 27 - 2
add the 2 digits together. Write the letter Reading each line of the diagram as a 3
with this numerical value in the next 17 - Y digit number, add the top and middle
space down. Continue in this way down From left to right, the numerical value of lines together to give the result on the
the line. the letters represents the sequence of bottom line.
multiples of 5, from 5 to 25.
7 - 71 28 - Y
As you move down, numbers follow the 18 - M Split the diagram into equal quarters of
sequence of Square Numbers, from 36 Working downwards, add the numerical 3x3 squares. In each quarter, move
to 121, subtracting 10 for the second values of the first two letters together, around the spaces in a clockwise spiral
number, 20 for the next, then 30 etc. and put the letter with this value in the towards the centre, starting on the top
next box down. Continue in this way left. Letters follow the alphabetic
8-T down the diagram. sequence, In steps of 2 letters, then 3,
Starting in the bottom left corner of the then 4 etc.
diagram, and moving clockwise, letters 19 - 4
follow in alphabetic order, skipping 1 Add up numbers in corresponding 29 - 1:Q
letter, then 2, then 3 etc. segments of each square. The sum of 2:D
the digits in the left hand segments
9-1 equals 20, the sum of the upper The first oval contains letters with even
Working in columns, start with the top segments equals 22, the right hand numerical values, and the second oval
number, and subtract the number in the segments equals 24 and the lower contains letters with odd numerical
centre, to give the result in the bottom segments equal 26. values.
row.
20 - 22 30 - 1
10 - V There are two repeated sequences in In each row, add the left and right hand
Starting with the top left outer segment the circle. Starting with the first segment numbers together and subtract 2 to give
and moving clockwise, alternating and moving clockwise, add 1 to the first the number in the centre of the row.
between the inner and outer segments, number, then 2, 3, and 4, writing the
EE9A0706-0CA4-40D1-B606-7292843C01F7 letters advance through the alphabet 5 results in alternate segments. Starting 199
letters at a time. Starting with the top left with the second segment, add 3 to this
inner segment, follow the same pattern, number, then 4, 5 and 6, writing these
using every sixth letter. results in the alternate segments left.

21 - D
Starting at the top left and moving in a Z
shape around the diagram, the
numerical value of the letters increases
by 6, then 7, then 8 etc.