IQ Mindbenders

SOLUTIONS

TEST 12 11 - 4 20 - W
Working in rows, add the left and right In each row, take the reverse
1-B hand values together and subtract 3 to alphabetical value of the left hand letter
In each square, the sum of the give the number in the centre of each and the alphabetical value of the right
numerical values of the top and bottom row. hand letter and calculate the difference,
letters equals the sum of the left and putting this result in the central square.
right hand letters. 12 - B
Start on the left of the diagram, and 21 -
2 - 11 work in columns, top to bottom, from left
Working through the diagram in to right. Letters are written in sequence, Child Mother Costume Age
columns, the value at the bottom of in steps of 2, then 4, then 6, then 8, Andrew Paula Carrot 8
each column equals the sum of the top before repeating this pattern. Jane T.V. 7
2 numbers, minus the sum of the next 2 Daisy Mary Martian 9
numbers. 13 - 4 Lily
Add together the four outer numbers of
EE9A0706-0CA4-40D1-B606-7292843C01F7 200 3-F each grid. This answer is the central 22 - F
Add together the numerical values of number of the grid one place further Taking pairs of letters at opposite sides
the letters which appear in the outer clockwise. of the diagram, the sum of their
segments, and put the letter with this numerical values equals 21 each time.
value in the inner segment, one place 14 - 10
clockwise. Working in columns, the sum of the 23 - T
numbers in each column equals 23. Start at the top left, and move clockwise
4-Z around the square. Letters follow the
In each row, multiply the numerical 15 - 5 alphabetical order, skipping 4 letters,
values of the left and right hand letters, Add together numbers in corresponding then 5, 6, 7, 8, 9 and 10, before
putting the result in the centre. segments of the outer four squares. The repeating this sequence.
answer is placed in the diagonally
5-Y opposite segment of the middle square. 24 - C
Start on the left hand of the diagram,
and move clockwise. Letters are written 16 - Jack of Spades 25 - O
in alphabetical order, in steps of 10 There are 2 sequences in the grid - one Start at the centre letter, and move
letters at a time. determining the value of the card, and around the upper triangle in a clockwise
one determining the suit of the card. direction. Letters follow the alphabetical
6-8 Starting on the top left and moving right, order in steps of 9 letters at a time.
In each grid, working in columns, add then down one row and to the left, then Repeat the same pattern, moving
the top and bottom numbers together, down the final row and to the right, clockwise around the lower triangle, with
and put this sum in the centre square in cards are arranged in order, with their the letters written in steps of 7 letters at
the grid underneath the original (for the value increasing by 4 each time. To a time.
top grids), or the grid above (for the calculate the suit of each card, start on
lower grids). the top left and move down, then right 26 - Thirty men
one row and move up etc. cards are
7-5 arranged in the order Hearts, Clubs, 27 - 2
In each star, the value at the centre Diamonds, Spades. In each diagram, the central value
equals the difference between the sum equals the sum of the left and right hand
of the top 3 numbers and the sum of the 17 - Y digits, minus the sum of the upper and
bottom 3 numbers. Work in rows, across the 4 squares as a lower digits.
whole. Start at the top left and move to
8-F the right, then down one row and to the 28 - J
In each diagram, convert each letter to left etc in a snakes and ladders pattern. Start on the upper left hand segment of
its numerical value, and read the top Letters advance through the alphabet in the left hand circle and move
and bottom pairs of letters as complete steps of 5 letters at a time. anti-clockwise around it. Then move to
2 digit values. Multiply these values the upper left of the central circle and
together to give the 3 digit result written 18 - 6 move clockwise, then on to the right
in the centre spaces. Split the diagram into 2 halves vertically, hand circle, and again move
each 3 columns wide. Numbers in the anti-clockwise. Letters are written in
9-4 left hand half follow the sequence of sequence along this path, skipping 3
In each diagram, read the upper and cubed numbers, from 64 to 729, and letters, then 4, 5 and 6, before repeating
lower pairs of numbers as 2 digit values numbers in the right hand half follow the this sequence.
and add these together to give the result sequence of squared numbers, from
written at the top. 121 to 256. 29 - 4
In each shape, use the left and right
10 - X 19 - To the 6 hand numbers as a source. The upper
In each triangular shape, start on the Starting with the top left clockface and central number equals the sum of the
extreme left and move in a clockwise working clockwise around the others, left and right hand numbers, the middle
spiral towards the centre. Letters are the sum of the numbers pointed to by central number equals the product of
written in alphabetical order, in steps of the 2 hands starts at 3 and increases by the left and right hand numbers, and the
6 letters for the left hand shape, 7 2 each time. lower central number equals the
letters for the centre, and 8 letters for difference between the left and right
the right hand shape. hand numbers.

30 - 3
As you move from left to right, the spot
total on each domino increases by 3
then decreases by 1 alternately.

SOLUTIONS

TEST 13 11 - 69 22 - Y
Starting at the top and working down, Starting with the bottom left letter and
1-B double each number and subtract 5 to moving in a clockwise spiral towards the
Working in rows, left to right, top row give the next number down. centre, letters advance through the
then bottom, one black circle is added alphabet in steps of 4, 5, 6 etc.
each time, with the positions of the 12 - 5
circles moving 1/4 turn clockwise each Working in columns, the sum of the 23 - 3
time. numbers in each column equals 18. In each circle, the sum of the numbers
in the left hand half of the circle equals
2-E 13 - C double that of the numbers in the right
Taking the hour and minute values on In each row, the numerical value of the hand half of the circle.
each watch separately, as you move to central letter equals the sum of the
the right the hour value increases by 1, numerical values of the left and right 24 - E
2, 3 and 4, and the minute value hand letters. Starting with the bottom row and moving
decreases by 11, 22, 33 and 44. up, one row at a time, the sum of the
14 - B numerical values of the letters starts at
3-5 Starting with the top left segment and 26 for the bottom row, then 24, 22 and
Working in rows, in each row the central moving clockwise, letters advance 20 as you move up.
number is equal to the difference through the alphabet in steps of 4, then
between the sum of the even numbers 5, then 6 etc. 25 - X
in the row and the sum of the odd Starting with the bottom right hand
numbers in the row. 15 - 16 corner, and moving in a clockwise spiral
Starting on the top left, and moving towards the centre, letters advance
4-V clockwise in a spiral towards the centre, through the alphabet, skipping 4 letters
Starting with the top left triangle, and numbers increase by 7, then decrease at a time.
moving clockwise around the other 2, by 2. Repeat this pattern all the way
letters advance through the alphabet in around. 26 - 11
steps of 4, 5 and 6, with their relative Starting with the diagram in the top left,
positions moving 1 place clockwise 16 - Minute hand pointing to 6 and moving to the right, ending up with
around each triangle. Starting with the top clockface and the bottom diagram, average the values
moving clockwise around the others, the in the top two boxes and put the result
5 - 196 hour hand moves forward by 1 hour, in the lower box, adding 1 for the first
Starting with the top left segment, and then 2, then 3, while the minute hand diagram, 2 for the next, then 3, then 4.
moving clockwise around the circle, moves forward 10 minutes, then 20,
numbers follow the sequence of square then 30. 27 - 9
numbers, from 121 to 256. Working in rows, top to bottom, reading
17 - 10 each row as a 3 digit number, rows
6-M Working from left to right numbers follow follow the sequence of Square Numbers
As you move down the line of letters, the sequence of Prime Numbers, from 11 to 13.
alphabetical values increase by 7, then subtracting 1 each time.
4, then 7 etc. 28 - P
18 - J Starting in the top left corner and
7 - 57 Working from top to bottom, letters moving clockwise in a spiral towards the
As you work down the column, numbers appear in alphabetical order, skipping centre, letters follow the alphabetic
follow the sequence of Square Numbers any letters written with only straight sequence, skipping 5 letters at a time,
from 16 to 81, subtracting 4, then 8, lines. written in alternate squares of the
then 12 etc. diagram.
19 - Q
8-1 Starting with the top left square, and 29 - A: 42
Splitting the diagram into 3 smaller moving clockwise around the other B: 52
triangles, with 3 circles each, the sum of squares, the numerical values of each
the numbers in each smaller triangle is letter increase by 2, with their relative In the first oval, all numbers are
always 21. positions in each square rotating 1 place multiples of 4.
clockwise at each turn. In the second oval, all numbers are
9-D multiples of 3.
Starting on the top left, and moving to 20 - 24
the right, then down one row and to the Working clockwise around the diagram, 30 - 5
left etc. in a snakes and ladders pattern, add the first two numbers together and In each row, add together the left and
letters advance through the alphabet in subtract 3 to give the next number right hand numbers, then add 2 to give
steps of 5, then 2, then 5 etc. along. the central value.

EE9A0706-0CA4-40D1-B606-7292843C01F7 10 - N 21 - G 201
Take pairs of letters, one from an outer Starting with the letters in the top row,
segment and one from the inner and following straight lines through the
segment in the opposite position. The middle circle, subtract the numerical
sum of the numerical values of these value of the middle letter (G) and write
letters is always 20. the letter with the corresponding
numerical value in the lower circle.

SOLUTIONS

TEST 14 11 - J 22 - 11
In each circle, the reverse alphabetical In each triangle, the central value
1 - 156 value of the lower letter equals the sum equals the sum of the 2 even numbers
Start with 1 and move clockwise. of the alphabetical values of the top 2 from the outside corners of the triangle
Multiply the previous number by 2 and letters. minus the odd number.
add 4 to give the next number around.
12 - B 23 - N
2-1 Start at the top left and move down the Starting at the top left hand of every
In every row of the diagram, if you left hand column, then move one place diagram, move around the outer circles
subtract the odd numbers from the even to the right and up the next column etc. in an anti-clockwise direction. Letters
number, you always get 10. in a snakes and ladders pattern. Letters are written in alphabetic sequence, in
are written in alternate spaces, in steps steps given by the numerical value of
3 - To the 4 of 7 letters at a time. the central letter.
The sum of the numbers pointed to by
the hour and minute hands is always 11. 13 - 6 24 - 5
In each row of the diagram, the Start at the top of each triangle and
4-C numerical value of the middle letter move clockwise around its points. Add
The sum of the numerical values of equals the sum of the left and right hand the first two numbers together and
pairs of letters, opposite each other in numbers, subtracting 3. subtract 2 to give the next value round.
the diagram, is always 20 (the numerical
value of the central letter). 14 - 17 25 - E
In each star, the number in the centre Starting on the left, and moving to the
5-5 equals the difference between the sum right, letters are written in alphabetical
The values in the segments of the upper of the even numbers and the sum of the order, moving forward 8 places, then
middle circle equal the sum of the odd numbers around the points of the back 2, then forward 7 places and back
values in corresponding segments of the star. 3. Repeat this sequence to the end of
upper left and right hand circles, and the the line.
values in the segments of the lower 15 - R
middle circle equal the difference The sum of the numerical values of 26 - 8
between values in corresponding letters in opposite segments of the circle In each triangle, multiply the lower 2
segments of the lower left and right is always 22. numbers together and subtract the
hand circles. upper number to give the value in the
16 - 26 centre.
6-M Starting on the top left and moving to
In each diagram, start with the upper left the right, then down one row and to the 27 - 10
box, and move anti-clockwise around left, then down to the bottom row and to For each circle, add the left and right
the others. Letters advance through the the right, numbers alternately add 8 hand numbers together and put this
alphabet in steps of 7 for the upper left then subtract 3. total in the circle one place to the right.
diagram, 8 for the middle, then 9, then
10. 17 - A 28 - D
In each diagram, there are 2 lines of Start with the watch on the left and
7-B black dots, joining two sides together. move to the right. The time on the
Starting at the top and working down, The sides joined by the dots moves 1/4 watches increases by 2 hours 3 min-
letters move through the alphabet in turn clockwise as you move from left to utes, then decreases by 1 hour 16 min-
steps of 8 letters, then 9, then 10 etc. right. utes, alternately.

8 - 37 18 - H 29 - W
As you move down the diagram, double Starting at the top and moving down, Start with A on the left hand side, and
each number and subtract 5 to give the the sum of the numerical values of the move in a clockwise spiral around the
next number. letters in each oval follows the diagram. Letters advance through the
sequence 20, 22, 24 etc. alphabet in steps of 6.
9-K
Split the diagram in half horizontally and 19 - 5 30 - Z
vertically. Start in the top left square of Take pairs of numbers at opposite ends Starting on the left and moving right,
each quarter, and move clockwise of the diagram. Their total is always 10. letters are written in alphabetical order,
around the other squares in the quarter. using every other letter written with only
In each quarter, letters advance through 20 - M straight lines.
the alphabet in steps of 2 for the upper Start with the top left square, and move
EE9A0706-0CA4-40D1-B606-7292843C01F7 202 left quarter, 3 for the upper right, 4 for clockwise around the others. The sum
the lower right and 5 for the lower left. of the numerical values of the letters in
each square equals 20 for the top left,
10 - U 25 for the top right, 30 for the bottom
Start with the D on the outer left of the right and 35 for the bottom left.
diagram, and move clockwise around
the outer segments, then start on the N 21 - D
anti-clockwise around the inner Start on the bottom left and move up to
segments. Letters advance through the the top, then to the right one space and
alphabet in steps of 3, then 4, 5, and 6, down to the bottom. Letters follow the
repeating this sequence. alphabetic sequence alternately in steps
of 6, then 8. Starting on the bottom right
and moving up to the top, then left one
space and down to the bottom, letters in
this half follow the same pattern.

SOLUTIONS

TEST 15 11 - 2 20 - C
Working from top to bottom, and reading In each row, calculate the difference
1-7 each row as a 3 digit number, rows are between the 2 numbers in the left hand
In each square, multiply the top and arranged in order of the Square column, and the 2 numbers in the right
bottom numbers together to give a 2 Numbers, from 11 to 15, with the digits hand column. Multiply these differences
digit result, and put the letters with the reversed in each case. together to give the numerical value of
numerical values of each digit in the left the letter in the centre.
and right hand spaces. 12 - 6
Work through the diagram in horizontal 21 -
2-M rows. The sum of the numbers in each
In each column, add up each number row is always 23. Contestant Position Style Prize
and put the letter with this sum in the
bottom circle. 13 - 6 Marc 3rd French Clock
Take values in corresponding positions
3-I of the outer 4 shapes, and put the Jane 2nd Italian Pots+pans
Start with the outer top left segment, results in the central shape, rotating the
and move around the circle clockwise, position of this result by 1/4 turn each Sue 1st Chinese Hamper
then move in to the middle segments time.
EE9A0706-0CA4-40D1-B606-7292843C01F7 and move anticlockwise. Following this 22 - B 203
path, letters advance through the 14 - Z Start at the top, and move diagonally
alphabet in steps of 7 letters at a time. Start at the top, and work left to right in down and to the right. Letters advance
rows, top to bottom. Letters advance through the alphabet in steps of 5 then
4-0 through the alphabet in steps of 10, 11, 6. Continue this pattern, starting with the
In each row, the left hand number 12, 13 etc. next circle down on the left etc.
equals the total of the even valued
letters in the middle box, and the right 15 - 9 23 - S
hand number equals the total of the odd Calculate the sum of the numbers in Start with the letter in the top left, and
valued letters in the middle box. corresponding positions of the outer 4 move clockwise around the square. The
squares, subtract 5 form this result, and numerical value of the letters follows the
5-9 put it in the corresponding position of sequence of prime numbers, from 2 to
Multiply numbers in adjacent circles the middle square, 1/4 turn 19.
together, then subtract the original anticlockwise from the original.
numbers, to give the value in the space 24 - B
in-between. 16 - 3 of Spades
Divide the diagram in half, vertically. In 25 - A
6-S each half, start at the top left card and Starting in the top left, and moving in
In each grid, start in the top left and move to the right, then down one row rows, left to right, top to bottom, letters
move down, then right one space and and to the left, and finally to the right, in advance through the alphabet in steps
up etc. in a snakes and ladders pattern. a snakes and ladders pattern. The value of 6, 7 and 8.
Letters advance through the alphabet in of the cards in the left hand half
steps of 5 for the top left grid, 6 for the increase alternately by 3 and 4, and the 26 - 5 years
top right, 7 for the bottom left and 8 for value of the cards in the right hand half
the bottom right. increase alternately by 4 and 5. To 27 - O
calculate the suit of each card, start at Start on the left of the middle row of
7-1 the top left of the whole diagram and letters, and move to the right, across all
In each star, calculate the difference move down, then to the right one space four diagrams. Letters advance through
between the 2 left hand and 2 right and upwards etc. in a snakes and the alphabet in steps of 2, 3, 4... etc. In
hand numbers. The value at the top of ladders pattern. Suits are written in each separate diagram, letters also
each star equals the product of these order, following this path, starting with follow a sequence, moving from top to
differences, and the value at the bottom Hearts, then Clubs, Diamonds and bottom, through the centre, with the
of each star equals the difference Spades. value of the letters increasing by 2 each
between these 2 differences. time for the left hand diagram, then 3,
17 - I then 4, then 5 for the right hand
8-F Start in the bottom left hand corner of diagram.
In each shape, start at the bottom left the diagram and, moving around the
and move up, then diagonally down to whole diagram, work in a clockwise 28 - 4
the right, and finally up the right hand direction, around the outer squares. Split the left and right hand circles in
column, in an N shape. Letters move Letters are written in alphabetical order, half vertically. The letter with the
through the alphabet in steps of 4, 5, 6, in steps of 7 letters at a time. For the numerical value of the sum of the digits
7, 8, and 9. single square still remaining in each in the left half of the left hand circle is
group of 4, add the numerical values of placed in the top left segment of the
9-6 the other 3 letters in the square together central circle, and the letter with the
In each figure, calculate the difference to give a 2 digit number, and add these numerical value of the sum of the digits
between the upper and lower left hand separate digits together, and put the in the right half of the left hand circle is
numbers, and the upper and lower right letter with this numerical value in the placed in the top right segment of the
hand numbers and multiply these central square. central circle. Repeat this formula for
differences together to give the value at the 2 halves of the right hand circle,
the top. 18 - M putting the resulting letters in the lower
Start with the top row, second square segments of the central circle.
10 - 43 from the right, and move down and to
In each triangle shape, start at the left the right in diagonal lines, advancing 29 - J
hand side of the longest row and move across the diagram to the left. Letters Start on the top left of the left hand
to the right, then on the next row and to are written in alphabetical order, in steps diagram, and move in horizontal lines,
the left, and finally to the third row. Add of 5 at a time. from left to right, top to bottom, across
together the first two numbers and all 4 diagrams as a whole. Letters
subtract 1 to give the next value around. 19 - To the 2 advance through the alphabet in steps
Starting with the top left clockface and of 7, then back 2, repeating this
moving clockwise around the others, the sequence all the way around.
minute hand moves back 2 places, then
4, 6 and 8, while the hour hand moves 30 - 6
forward 2 places, then 4, 6 and 8. Start on the left and move to the right,
taking pairs of dominoes. The difference
between the spot total of the two
dominoes in each pair follows the
sequence 4, 6, 8, 10.

SOLUTIONS

TEST 16 11 - 12 21 - 22
In each circle, the number in the lower On each row of the diagram, the value
1-Y segment equals twice the difference in the centre of each row equals the
Starting with the G and moving between the numbers in the left and sum of the other numbers in the row,
clockwise, letters advance through the right hand segments. subtracting 2.
alphabet in steps of 3 letters, then 4,
then 5 etc. 12 - 5 22 - Y
Working through the diagram in rows, Start at the top to the left hand triangle,
2-V add the left and central numbers and work across the whole diagram in
Starting on the top left of each outer together and subtract 2 to give the right horizontal lines from left to right, top to
square, and moving clockwise around hand value. bottom. Letters are written in alphabetic
the corners of the squares, letters sequence, skipping 3 letters each time.
advance through the alphabet in steps 13 - 2
of 4 for the upper left square, 5 for the Reading each row as a 3 or 2 digit 23 - 3
upper right, 6 for the lower right and 7 number, subtract the central 2 digit In each diagram, the sum of the top two
for the lower left. Additionally, the letters value from the upper 3 digit value, to and middle digits equals the sum of the
bounded by the central square take the give the 3 digit result on the lower row. lower 2 digits.
inverse alphabetical value of the original
letter. 14 - Y 24 - Z
Start with the top point of each star, and In each star, start with the letter in the
3 - Anchor move clockwise around the other points. lower left hand point, and move around
The Binoculars = 1, the Anchor = 3 and Letters advance through the alphabet in the other points in a clockwise direction.
the Buoy = 5 steps of 5 for the left hand star, 6 for the Letters advance through the alphabet in
central star, and 7 for the right hand steps of 6 for the left hand star, 7 for the
4-6 star. one in the centre, and 8 for the right
Working from top to bottom, reading hand star.
each pair of numbers as a 2 digit value, 15 - Q
values represent the reverse Working in columns, add the numerical 25 - N
alphabetical value of letters of the value of the top and middle letters Start on the left, and move to the right.
alphabet, starting with A, written with 3 together to give the numerical value of Letters advance through the alphabet in
straight lines only. the lower letter. steps of 2, then 3, then 4 etc.

5-1 16 - 10 26 - T
Starting with the circle on the top left, Starting with the left hand circle, add 4 In each triangle, start with the bottom
and moving to the right, top row then to each number and rotate their left letter, and move clockwise around
bottom row, the sum of the numbers in positions 1 place clockwise to give the the other points. Letters advance
each circle follows the sequence 12, 15, values in the upper right hand circle, through the alphabet in steps given by
18, 21 etc. then add 5 to each of these values and the numerical value of the letter at the
rotate their positions 1 place clockwise centre of the triangle.
6-B to give the values in the lower right
Start on the top left, and work through hand circle. 27 - 6
the diagram in columns, from left to In each circle, add together the left and
right. The sum of the numerical values 17 - 30 right hand digits, and add 3 to give the
of the letters in each column starts at Working in columns, divide the top value value of the lower digit.
20, then increases by 1 as you move by 2 to give the middle value, and
one column to the right. multiply this by 3 to give the bottom 28 - 4
value. Splitting the diagram in half horizontally
7-S and vertically, each quarter contains the
Starting at the top left of the diagram, 18 - 281 alphabet written in sequence, with the
and moving in a Z shape, letters Working from top to bottom, numbers relative position of this sequence
advance through the alphabet in steps follow the sequence of multiples of 14, rotating 1/4 turn anti-clockwise as you
of 5. from 112 to 182, with each value being move clockwise around the quarters.
written back to front.
8-4 29 - 1
Split the whole diagram in half, 19 - M Start with the top left circle, and move
horizontally, to give two groups of 5 Start with the letters in the top left circle, around the others in a W shape. The
octagons. In each group, the central and move around the other circles in a sum of the numbers in each circle
number in the top row equals the sum of clockwise direction. Letters advance follows the sequence of 10, 12, 14, 16
the surrounding 4 numbers. through the alphabet 6 letters at a time, and 18.
with the relative positions of each letter
9 - 110 moving one place clockwise each time. 30 - Q
Starting on the left and moving right, Start on the left and work to the right.
double each number and add 2 to give 20 - 20 There are two alternating sequences of
the next number along. Working from top to bottom, the sum of letters - one starts with A and moves
the numbers in each row is put in the through the alphabet 5 letters at a time.
10 - 4 left hand box on the row below, and the The other starts on H and moves
Reading each pair of numbers as 2 digit difference between the two numbers in through the alphabet 3 letters at a time.
values, the sum of the 4 numbers is each row is put in the right hand box on
EE9A0706-0CA4-40D1-B606-7292843C01F7 204 given in the top space in the diagram. the row below.

SOLUTIONS

TEST 17 12 - 2 23 - 8
Split the diagram into two halves Starting with the numbers in the top two
1-A vertically, consisting of 2 columns of 2 circles, add numbers in the left hand
Working in rows, if you superimpose the squares each, and read each 2 segments of each circle, and put these
pattern of spots in the left and right adjoining squares as a complete 2 digit values in the left hand segments of the
hand grids you get the pattern in the number. Numbers follow the sequence lower left circle. Put the difference
central grid. of multiples of 7, subtracting 1 each between segments in the right hand
time. halves of the two top circles in the right
2-B hand half of the lower left circle. Repeat
As you move from left to right, add 1 to 13 - 11 this pattern for the lower right circle, but
the value of each digit on the watch, Working through the diagram in putting the difference between numbers
and rotate the digits one place to the columns, add 4 to the top number to in the left hand half of the top two circles
left. give the middle one, and add 6 to this in the left hand half of the lower right
number to give the lowest one. circle, and the sum of the right hand half
3-O of the top two circles in the right hand
Working in rows, add up the digits in 14 - I half of the lower right circle.
each row and put the letter with this Starting with the top two segments, the
numerical value in the centre of the row. sum of the numerical values of letters in 24 - 33
adjoining segments equals 20. Starting with numbers on the bottom
4 - 13 row, add numbers in adjacent boxes
In each triangle, add up the lower 3 15 - 4 together, and put the result in the box
digits and divide by 3 to give the value Working in rows, starting with the central directly above. Continue in this way, up
at the apex of the triangle. row, add the left and right hand digits the triangle.
together and put the result in the central
5 - 98 space. Repeat for the upper and lower 25 - 9
Starting with the lowest number and rows, but put the result in the opposite Reading each row as a 4 digit number,
moving clockwise, add the separate central space. from top to bottom, rows follow the
digits of the first number together and sequence of Cube Numbers from 16 to
add this to the original number, writing 16 - To the 4 19.
the result in the next segment along. Starting with the top clockface and
moving clockwise around the others, the 26 - F
6 - 33 minute hand points to the value 3 less In each group of 3 boxes, calculate the
Add the first two numbers together and than that pointed to by the hour hand. difference in numerical values between
then subtract 4 to give the next number Repeat for the other clockfaces, the top two letters, and add 1 to give the
along. subtracting 4, 5 and 6 from the hour value of the letter in the lower box.
hand values.
7-B 27 - U
Working from top to bottom, replace 17 - 25 Starting in the top left of the diagram,
each letter with its numerical value and Starting on the left, halve the first and working in columns, from top to
read each pair of numbers as a 2 digit number and add it to the second bottom, letters follow the alphabetical
number. Numbers follow the sequence number to give the next one along. sequence, advancing 2 letters, then 4,
of multiples of 9, from 27 to 72. Repeat this sequence all the way to the then 6, then 8 etc.
right.
8-V 28 - 1
Start at the top, and work through the 18 - 6 Split the diagram into 3 columns, each 2
triangle in horizontal rows, from top to As you move down, numbers represent spaces wide, and read each double
bottom, left to right. Letters move the reverse alphabetical values of the 5 space as a 2 digit number. Starting at
through the alphabet 5 letters at a time. vowels. the top of each column, add the 2
separate digits together, then add this to
9 - 13 19 - V the whole 2 digit number, to give the
Working in rows, from left to right, Start with the top segment of the top left result, written in the spaces underneath.
double the left hand number to get the square, and move directly downwards.
middle number, and add 3 to this to get Each group of 4 letters follows the 29 - A:18
the right hand number. alphabetic sequence, in steps of 5 B:72
letters at a time. Taking other straight
10 - Y lines vertically and horizontally through In the first oval, all numbers are divisible
Start with the outer segment in the top the diagram, letters follow the same by 8, and in the second, they are all
left, and move anti-clockwise. Letters pattern. divisible by 7.
advance through the alphabet in steps
of 6, then 7, then 8. Continue around 20 - 93 30 - 5
the outer segments of the Starting with the top segment, and Working through the diagram in rows,
diagram, then move in an anti-clockwise moving clockwise, add the numbers in find the difference between the left and
direction around the inner segments. the first two segments together and right hand values, then add 2 to give the
subtract 7 to give the next number value in the central space.
11 - R around.
EE9A0706-0CA4-40D1-B606-7292843C01F7 Working from top to bottom, letters 205
move through the alphabet in steps of 2, 21 - 6
then 3, then 2 etc. Starting with the numbers in the top row,
left to right, multiply each one by 2 and
write the results in the lower row, from
right to left.

22 - U
Starting with the top left letter, and
moving clockwise around the others,
letters advance through the alphabet in
steps given by the numerical value of
the central letter (6).

SOLUTIONS

TEST 18 11 - P 21 - Book Hero Book
Working in rows, add the left and right type length
1-2 hand numbers together, and put the Reader 120 pgs
In each square, multiply the top and letter with the reverse alphabetical value Anne Romance Max
bottom numbers together to give a 2 of this sum in the central box. Beryl Morris 250 pgs
digit result, and write this result in the Frank
left and right hand spaces. 12 - C Thriller Lucy Carr 400 pgs
Start with the A in the bottom left corner,
2-1 and move in a clockwise spiral around Biography Pete
Working through the diagram in rows, the diagram towards the centre. Letters Shear
the central value equals the sum of the are written in alphabetic order, in steps
other numbers in the row. of 6 letters at a time. 22 - K
Start on the left hand side, and move
3-8 13 - 0 clockwise around the diagram. Letters
Multiply the 2 numbers in the outer Use the top two diagrams as a source. advance through the alphabet 9 letters
segments together and add 1 to give the Numbers in corresponding positions in at a time.
value in the inner segment opposite. the lower left diagram equal the sums of
the numbers in the top two diagrams, 23 - 9
4-5 numbers in the central diagram equal Take any group of 5 numbers along the
In each row, add together the numerical their product, and numbers in the lower side of the square, and their total is
values of the 3 central letters to give a 2 right diagram equal their difference. always 25.
digit sum, and put this 2 digit sum in the
left and right hand boxes at the end of 14 - 4 24 - B
the rows. The average of the numbers in each
column is always 4. 25 - M
5-B Working in rows, from top to bottom, the
Start at the top of the diagram, and 15 - P sum of the numerical values of the
move clockwise. Letters appear in Start with the top left grid and move letters follows the sequence 16, 18, 20,
alphabetical order, in steps of 10 letters around the others in a clockwise spiral 22, 24.
at a time. towards the centre. Letters follow
alphabetic sequences, skipping 1, 2, 3 26 - Mark gets £50, Patrick gets £150
6-3 and 4 letters at a time, with their relative and Peter gets £300.
Split each grid into 2 halves, vertically, positions in each grid rotating 1/4 turn
leaving 2 columns, each 2 squares clockwise each time. 27 - 29
wide. Start with the top left pair and In each diagram, add up the 4 outer
move down, then to the top right pair, 16 - Nine of Clubs numbers then add 2 for the left hand
and down again. Reading each pair of In each column of the diagram, add the group, 4 for the next, then 6, then 8, and
digits as 2 digit values, the 2 digit values top and bottom card values together put this result in the central circle.
increase by 11, 12, 13, 14 and 15. and subtract 2 to give the value of the
central card. 28 - 1
7 - 11 Calculate the sums of the numbers in
In each star, the number in the centre 17 - 9 the left and right hand circles, to give 2
equals the difference between the sum Using the top two grids as a source, digit answers. Write the left hand
of the numbers in the upwards triangle numbers in the lower left grid equal the answer in the top 2 segments of the
and the sum of the numbers in the sums of numbers in corresponding central circle, and put the right hand
downward triangle. positions of the top two grids, answer in the bottom 2 segments of the
subtracting 1 each time, and numbers in central circle.
8-H the lower right grid equal the differences
In each diagram, add the numerical between numbers in corresponding 29 - 56
value of the upper right and left letters positions of the top two grids, adding 1 In each diagram, multiply the left hand
to the lower right and left letters, to give each time. number by the upper central number to
the letters in the centre of the columns. give the central number one line down,
Calculate the difference between these 18 - 19 and multiply the right hand number by
middle letters to give the value of the Divide the diagram in half, horizontally the upper central number to give the
letter right at the centre. and vertically, to give 4 squares, each lower central number.
3x3. In each square, add up the 4 outer
numbers, and put the result in the space 30 - 4
in the centre. Start on the left and move to the right,
taking pairs of dominoes. The sum of
each pair of dominoes follows the
sequence 5, 10, 15 and 20.

9-2 19 - To the 5
In each diagram, multiply the numbers Start with the top left clockface and
shown on the arms together and add move clockwise around the others. The
the number at the very top to give a 2 sum of the numbers pointed to by the
digit result, written in the lower 2 hour and minute hand follows the
spaces. sequence 3, 6, 9, 12 and 15.

EE9A0706-0CA4-40D1-B606-7292843C01F7 206 10 - F 20 - T
Start in the top left of the diagram and In each row, add together the numerical
move to the right, then down one row values of the pairs of letters to the left
and to the left, and finally to the right and right, then calculate their difference,
again. Letters are written in alphabetic putting the letter with this numerical
order, in steps of 5 letters at a time. value in the centre space.

SOLUTIONS

TEST 19 11 - 38 23 - 1
Starting at the top, add 4 to the first Numbers in the segments of the upper
1-B number to get the second, then add 5, left hand circle equal the product of the
In each row, the left hand grid contains 6, 7 etc. numbers in corresponding segments of
one line of black dots, the central one the lower 2 circles, and the numbers in
contains 2 lines and the right hand one 12 - 0 the segments of the upper right hand
contains 3 lines. Working through the diagram in rows, circle equal the sum of the numbers in
the right hand value equals the sum of corresponding segments of the bottom
2-A any odd numbers in the rest of the row. two circles.
On each watch, the time shown
contains two digits that are the same. 13 - 3 24 - 12
The sum of the numbers in each column Working from the bottom row to the
3-Z of the diagram is always 21. apex of the triangle, the sum of the
Start on the top left of the diagram, and values in each row follows the sequence
move from left to right, top row to 14 - L 15, 14, 13,12.
bottom row. Letters advance through the Starting with H and moving
alphabet in steps of 6, 7 then 8, before anti-clockwise, letters advance through 25 - K
repeating this pattern. the alphabet in steps of 10, then 8, then Working through the diagram in
6 etc. columns, from top to bottom, letters
4-Q move through the alphabet in steps of 5
Starting on the top left, and moving 15 - 7 for the left hand column, 7 for the next
around the whole diagram in an anti- Add the number at each corner of the one, then 9, then 11.
clockwise direction, outside then inside, diagram to its 2 adjacent numbers. The
letters advance through the alphabet 5 total is always 15. 26 - O
letters at a time. In each diagram, add the numerical
16 - To the 8 values of the top 2 letters together,
5-3 Start with the top clockface and move divide this by 2 and subtract 2 to give
Split the circle in half vertically, and take clockwise around the others. The sum the numerical value of the lower letter.
pairs of digits from corresponding of the numbers pointed to by the 2
segments of the left and right hand hands follows the sequence 5, 10, 15, 27 - 6
halves of the circle. Reading these pairs 20. Each row and column of the diagram
of digits as 2 digit numbers, these adds up to 15.
numbers follow the sequence of 17 - 17
multiples of 9, from 45 to 63. As you move to the right, double the 28 - A
first number to give the next one, then Split the diagram in half, horizontally
6-5 subtract 5. Repeat this sequence. and vertically, into quarters. Start in the
As you go down, alternately subtract 8 top left cell of each quarter, and move
to give the next number, then divide by 18 - J around it in a clockwise spiral towards
2. Repeat this pattern. As you move down, add the number of the centre. Letters are written in
straight lines in the first letter to the alternate segments, moving forward 7
7 - 89 numerical value of that letter to give the letters at a time for the top left quarter, 6
Working from top to bottom, numbers next one down. letters for the top right, 5 letters for the
represent the sequence of Square lower right, and 4 letters for the lower
Numbers, from 144 to 289, with the first 19 - F left.
digit left out. Start with the A in the top left hand
segment, and move in straight vertical 29 - A:319
8-G lines, from top to bottom, left to right. B:424
Start at the top of the triangle and move Letters follow the alphabetic sequence,
anti-clockwise around it. Letters move skipping 1 letter, then 2, then 3 etc. In the first oval, the sum of the separate
through the alphabet in steps of 3, 4, 5, digits of each 3 digit number is 9, and in
6 etc. 20 - 518 the second oval, the sum of the
As you move clockwise, subtract 3 from separate digits is 7.
9-8 the first number and multiply by 2 to
In each row, the middle value equals the give the next one round. 30 - C
sum of the left and right hand values, The sum of the numerical values of the
adding 2 for the top row, 4 for the 21 - E letters in each column of the diagram
middle row, and 6 for the bottom row. Start at the top left, and move around equals 29.
the diagram in a Z shape. The
EE9A0706-0CA4-40D1-B606-7292843C01F7 10 - D numerical value of the letters increases 207
Start with the H in the top left segment, alternately by 6, then 3.
and move clockwise around the shape,
alternating between outer segment then 22 - E
inner segment. Letters advance through Convert each letter to its numerical
the alphabet 6 letters at a time. value, and split the diagram into rows,
reading each row as a 2 or 3 digit value.
The value represented by the middle
line of the diagram equals the sum of
the upper value and lower value.

SOLUTIONS

TEST 20 11 - 5 22 - 80
In each circle, the digit is equal to the In each triangle, the central value
1-U number of straight lines used to write equals the product of the 3 outer
The sum of the numerical values of the the two letters in the same circle. numbers subtracting the sum of the 3
letters in opposite segments of the circle outer numbers.
equals 26. 12 - 5
In each column of the diagram, the 23 - Q
2-J central value equals the average of the In each diagram, start with the letter in
Start with the letter J in the top left upper and lower numbers. the top left and move clockwise around
square, and move clockwise around the the others. Letters advance through the
other squares. Letters follow the 13 - B alphabet in steps given by the numerical
alphabetic sequence, skipping 4 letters Start with the J in the top left and move value of the central letter.
at a time. Start with the X in the inner anti-clockwise around the shape in an
square in the top left, and move hourglass shape. Letters advance 24 - N
clockwise. These inner letters also through the alphabet in steps of 11 The sum of the numerical values of the
follow the alphabetic sequence, skipping letters at a time. letters around each star is always 55.
5 letters at a time.
14 - 14 25 - I
3 - 82 In each star, the central value equals Starting on the left, and moving along
Start at the top and work down. Add the the sum of the top and lower two the diagram to the right, letters move
separate digits of the top number to the numbers, minus the left and right hand through the alphabet in steps of 5, then
number itself to give the next one down, numbers. 3, then 7, repeating this sequence.
then subtract 12 to give the one after
this. Continue with this alternating 15 - 1 26 - 9
pattern. Read each row of 3 numbers as a 3 In each triangle, multiply the lower two
digit number, and add the top row value numbers together and add the upper
4-4 to the middle row, to give the result number to give the value in the centre.
From top to bottom, reading each pair of written in the bottom row.
numbers as a 2 digit value, the numbers 27 - C
follow the sequence of square numbers, 16 - O In each circle, multiply the inverse
from 16 to 49, each written back to Using the letters in the top right circle as alphabetical value of the upper left hand
front. a source, add 4 to the numerical values letter by the regular alphabetical value
of each letter to give the letters in of the upper right hand letter to give the
5-1 corresponding segments of the middle value in the lower segment.
In each row of the diagram, the values circle, and subtract 5 from the values to
in the central circle equal the sums of give the letters in corresponding 28 - 5
the digits in corresponding segments of segments of the bottom circle. Splitting the diagram in half both
the left and right hand circles. horizontally and vertically, each quarter
17 - 21 contains a pattern of black squares,
6-D In each row, add the left and central representing the letters W, X, Y and Z.
Split the diagram horizontally into 3 numbers together, double it and add 1
rows, each 2 circles high. Start with the to give the right hand value. 29 - 3
top left circle in each row, and move one Using the lower two circles as a source,
space to the right, alternating down and 18 - F M R the values in corresponding segments of
up. Letters advance through the Starting at the top and working down, the upper left circle equal the sums of
alphabet 5 letters at a time for the upper add 5 to the numerical value of any the numbers in the lower two circles.
double row, 6 letters at a time for the even numbered letter, and add 7 to the The values in the upper central circle
central row, and 7 letters at a time for numerical value of any odd numbered equal the products of the values in the
the bottom row. letter to give the letters in the space lower two circles, and the upper right
below. circle equals the difference between
7-2 values in the lower two circles.
Split the diagram into 3 vertical 19 - L
columns. The sum of the numbers in Starting with the letters in segments of 30 - 6
each column equal 17. the top left circle, add 3 to the numerical Starting on the extreme left and right
values of the letters, and write the hand of the row and working towards
8-X results in the top right circle, with the the centre, add the end digits together
Start at the top left and move to the relative positions of the letters moving and subtract 3 to give the next value
right, then down one row and to the left 1/4 turn clockwise. Repeat this pattern, along to the left, and add 1 to give the
etc in a snakes and ladders pattern. adding 4 to the values of the letters for next value along to the right. Repeat this
Letters advance through the alphabet 9 the lower right hand circle, and adding 5 sequence, working towards the centre.
letters at a time. for the letters in the lower left hand
EE9A0706-0CA4-40D1-B606-7292843C01F7 208 circle, putting the results in the
9 - 31 segments 1/4 turn clockwise each time.
As you move to the right, double the
previous number and subtract 4, then 3, 20 - 73, 48
then 2, then 1 to give the next number Starting at the top, add the left and right
along. hand numbers together and subtract 5
to give the lower left number. Add 2 to
10 - 7 the left hand number to give the lower
Start anywhere on the diagram, and right hand number.
move clockwise, calculating the sum of
every third circle. This always equals 15. 21 - U
Starting at the top and working in
diagonal lines from top right to bottom
left, letters alternately increase in value
by 9, then decrease by 3.

Do you enjoy calling on your powers of
logic, concentration and lateral thinking?
Are you looking for a book which is both

entertaining and mentally stimulating?
Search no further!

IQ Mindbenders is for those of you who
want a challenge. Packed with visual,
letter and number puzzles, this book is
designed to test and enhance all the
different aspects of your IQ.

So don’t delay. Get your thinking cap on
and find out what it takes to become a

puzzle master!

Printed in China

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