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STEP BY STEP
NON-VERBAL REASONING
11+
SELECTION TESTS
12+
PRIVATE SCHOOLS
CEM
11+
GRAMMAR SCHOOL
SELECTION
HOW TO DO NON-VERBAL REASONINGA STEP BY STEP GUIDE
STE
P B
Y S
TEP
NO
N-V
ERB
AL
REA
SO
NIN
G
Step by Step
Non-VerbalBook
Non Verbal Reasoning Prep suitable for 11+ SelectionGrammar School Selection, School Scholarship
Independent and Private School SelectionBy Philip Kay
11+ AND 12+ BOOKS BY LEARNING TOGETHER
(These Non-Verbal Reasoning books are available in multiple choice and in standard answer format. While the method of providing answers is different the question content is almost identical.)
COMMON ENTRANCEOTHER 11+ BOOKSHOW TO DO VERBAL REASONING AND NON-VERBAL REASONING BOOKS
ADDITIONAL COPIES OR OTHER TITLES CAN BE ORDERED ONLINE AT
www.learningtogether.co.ukVisit our online 11+ platform at www.onlineelevenplusexams.co.uk
VERBAL REASONING CHALLENGE TEST PACK
VERBAL REASONING
TESTS (THIS IS A
COMPILATION OF VERBAL REASONING BOOKS 1 & 2)
MOREVERBAL
REASONING TESTS
(THIS IS A COMPILATION
OF VERBAL REASONING BOOKS 3 & 4)
UNIT PAGEHow the book is set out 4How to use this book 5
1 How many fit inside? 62 Which shape is similar? 83 Find the shaded fraction 104 Which one is different? 125 Find the shaded fraction of equal value 146 Where is it hidden? 167 What comes next? 188 Give the next number (addition and subtraction series) 209 Which shape is the same but facing the opposite direction? 22
10 How does it look, folded in? 2611 Give the next number (multiplication and division series) 2812 How does it look, opened out? 3013 What shape now, after adding? 3214 Supply the missing numbers 3415 What shape now, after subtracting? 3616 Which completes the matching pair? (analogies) 3817 Which two shapes are exactly the same? 4018 Fill in the addition table 42
How well did you do? 44Detachable Answers 45
CONTENTS
Page 3
Step by Step Non Verbal Reasoning_Main text 07/05/2013 16:03 Page 1
HOW THE BOOK IS SET OUT• There are eighteen different topics.
• Each one is dealt with in a separate unit.
• Each unit has two sections:-1. The INTRODUCTION with a worked Example and Step by Step instructions.
2. The EXERCISE with some Hints for extra help.
• A detachable answers sheet is provided at the back.
Page 4
Step by Step Non Verbal Reasoning_Main text 07/05/2013 16:03 Page 2
Do not make illegal copies of this test.
3
Count the number of squares.
STEP BY STEPTHINGS TO LOOK FOR:-
• THE TYPES, COLOURS AND/OR NUMBER OF SHAPES• THE POSITION OF THE SHAPES AND/OR THE SYMBOLS
STEP 1:- Find what makes each group of three similar.STEP 2:- Ignore any answers that are obviously wrong.STEP 3:- Make sure your chosen answer matches the group of three in every way.
WHICH SHAPE IS SIMILAR?
Page 8
The answer is B because:-Like the three shapes on the left, B is a triangle. Not A, a square.
Not C, a circle.Not D, a pentagon.
Which shape is similar to the group of three on the left? Circle one letter. Look at this example.
Count the number of sides.
Look at the colours of the small circles.
Which shape is similar to the group of three on the left? Circle one letter each time.If necessary use the HINTS.
2
1
A B C D
A B C D
A B C D
A B C D
UNIT 2
Step by Step Non Verbal Reasoning_Main text 07/05/2013 16:03 Page 6
Do not make illegal copies of this test.
Page 9
4
Look at the type of shapes.
5
Count the number of lines between the circles.
6
Look at the position of the two shapes.
7
Count all the squares in each diagram.
8
Look at the colours of the three shapes.
9
Look at the type of angle and the position of the circles.
A B C D
A B C D
A B C D
A B C D
A B C D
A B C D
Score 10
10
Look at the position and the types of symbols.A B C D
Step by Step Non Verbal Reasoning_Main text 07/05/2013 16:03 Page 7
Do not make illegal copies of this test.
STEP BY STEPTHINGS TO LOOK FOR:-
• THE HIDDEN SHAPE MAY HAVE LINES INSIDE IT• IT MAY HAVE BEEN TURNED ROUND BUT NOT OVER
• IT MUST BE EXACTLY THE SAME SIZE
STEP 1:- Describe the shape to be hidden.STEP 2:- Note the number of sides, length of lines and types of angles.STEP 3:- Outline the hidden shape on your chosen answer.STEP 4:- If necessary turn the shape round to help you find it.
WHERE IS IT HIDDEN?
Page 16
The square is hidden in C.
Which larger shape is the small shape on the left hidden in? Circle one letter. Look at this example.
The pentagon does not turn.
Two semi-circles are touching.
Which larger shape is the small shape on the left hidden in? Circle one letter each time.If necessary use the HINTS.
2
3
Small triangle at the top with the letter A below.
1
A B C D
A B C D
A B C D
A B C D
Not A, the square is too big.Not B or D, they do not contain
squares.
UNIT 6
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Page 19
A B C D
4
Add on another line going clockwise.
A B C D
5
Count the sides.
A B C D
6
Symbol on the left moves. Where to?
A B C D
7
Symbol on the right moves. Where to?
A B C D
8
Look how the shapes change.
A B C D
9
Look how the shapes and colours change.
A B C D
10
Look how the shapes, colours and size change.Score 10
Step by Step Non Verbal Reasoning_Main text 07/05/2013 16:03 Page 17
Do not make illegal copies of this test.
WHICH SHAPE IS THE SAME,BUT FACING THE OPPOSITE DIRECTION?
Page 22
Look at the completed Learning Together picture above.Now join up the dotted lines and shade in the one below, so that it looks exactly the same.
Working through these two pages will help you to complete the questions on pages 24 and 25.
Look across both ways, and , to see how you have made the SAME SHAPE as before,but FACING THE OPPOSITE DIRECTION.
The following page will help to explain this further.
UNIT 9
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Do not make illegal copies of this test.
Page 27
4
Each of the 4 flaps fold in but one is not a complete triangle.
5
Fold in to give the same shapes in the opposite direction.
6
Fold in to give the same shapes in the opposite direction.
7
Fold in
8
Fold in bottom flaps , then top flaps , keep the triangles the same colour.
9
Fold in flaps , keep the triangles the same colour.
10
Look at the position of all the white triangles.
A B C D
A B C D
A B C D
A B C D
A B C D
A B C D
A B C D
Gives
Gives
Gives
Gives
Gives
Gives
Gives
Score 10
Step by Step Non Verbal Reasoning_Main text 07/05/2013 16:03 Page 25
Do not make illegal copies of this test.
Page 31
4
The base is a triangle and it has 3 other triangles, the opposite way round, joined on.
5
Triangles are joined on by matching the width of the rectangles.
6
Each of the 4 flaps opens out with shapes and colours in the correct position.
7
The flaps open out , but one is not a complete triangle.
8
Each of the three flaps opens out to give the same shape in the opposite direction.
9
When flaps open out, they keep the same colours.
10
Look at the position of all the white triangles.
A B C D
A B C D
A B C D
A B C D
A B C D
A B C D
A B C D
Gives
Gives
Gives
Gives
Gives
Gives
Gives
Score 10
Step by Step Non Verbal Reasoning_Main text 07/05/2013 16:03 Page 29
Do not make illegal copies of this test.
The diagonal sides of the shape to be subtracted must go in the same direction.
STEP BY STEPTHINGS TO LOOK FOR:-
• THE SHAPE TO BE SUBTRACTED MUST NOT TURN• SUBTRACTING THE SECOND SHAPE IS LIKE “CUTTING IT OUT” OF THE FIRST SHAPE
STEP 1:- Find where and how the second shape is “cut out” of the first shape.STEP 2:- Draw the outline of the shape to be subtracted inside the first shape, as in the example.STEP 3:- Which answer matches the shape that is left after subtracting?
WHAT SHAPE NOW AFTERSUBTRACTING?
Page 36
The answer is B because:-The corner cut off matches exactly the triangle to be subtracted:
In these questions one shape is subtracted from the other.The shapes do not turn. Circle one letter. Look at this example.
Cut off the correct corner to match the triangle that is subtracted.
The same triangle as the second shape must be subtracted, not added.
In these questions one shape is subtracted from the other. The shapes do not turn.Circle one letter each time. If necessary use the HINTS.
2
3
1
A B C D
A B C D
A B C D
A B C D
NOT A as it has been added.NOT C as different triangles have NOT D been subtracted.
UNIT 15
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Do not make illegal copies of this chart.
STEP BY STEP
STEP 1:- Look at the example for a score of .
STEP 2:- Now shade in the bar chart below with your score for each unit.
STEP 3:- Enter at the bottom of the page how often you got each score.
STEP 4:- Enter your most common score in the box.
HOW WELL DID YOU DO?
Page 44
01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18
109
8
7
6
5
43
2
1
UNIT
109
8
7
6
5
43
2
1
710
Score
710
110
010
210
310
410
510
610
710
810
910
1010 Total
18
I scored
How often?
Now you have finished this book, you are ready to start Test 01 inLEARNING TOGETHER’s Practice Tests in Non Verbal Reasoning Book One.
10MY MOSTCOMMON
SCORE
SCORE
Step by Step Non Verbal Reasoning_Main text 07/05/2013 16:04 Page 42
Page 45
STEP
BY
STEP
NON
VER
BAL R
EASO
NING
AN
SWER
SU
NIT
11.
92.
123.
134.
145.
196.
187.
88.
99.
710
.12
UN
IT 2
1.C
2.C
3.D
4.D
5.C
6.D
7.B
8.B
9.B
10.
B
UN
IT 3
1.5 /6
2.3 /1
03.
1 /84.
1 /85.
1 /66.
3 /87.
5 /118.
4 /99.
7 /12
10.
3 /16
UN
IT 4
1.C
2.C
3.D
4.D
5.A
6.B
7.E
8.D
9.E
10.
A
UN
IT 5
1.3 /5
2.1 /4
3.1 /2
4.1 /4
5.1 /3
6.3 /4
7.2 /3
8.1 /4
9.3 /4
10.
2 /3
UN
IT 6
1.D
2.B
3.A
4.D
5.C
6.B
7.C
8.D
9.C
10.
A
UN
IT 7
1.D
2.B
3.A
4.B
5.D
6.C
7.C
8.D
9.B
10.
B
UN
IT 8
1.49
2.20
3.43
4.26
5.17
6.24
7.21
8.30
9.35
10.
31
UN
IT 9
1.C
2.B
3.A
4.B
5.B
6.D
7.B
8.C
9.E
10.
E
All r
ig hts
reser
ved.
No pa
rt of
this
publi
catio
n, in
whole
or in
part,
may
be re
prod
uced
, stor
ed in
a re
triev
al sy
stem
or tr
ansm
itted
, in an
y for
m,or
by an
y mea
ns, e
lectro
nic,m
echa
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photo
copy
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ecor
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prior
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the c
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Step by Step Non Verbal Reasoning_Main text 07/05/2013 16:04 Page 43
Page 46
UN
IT 10
1.A
2.D
3.B
4.A
5.D
6.C
7.C
8.A
9.D
10.B
UN
IT 11
1.1602.2883.2434.
285.
636.
37.
38.
49.
810.
4
UN
IT 12
1.A
2.D
3.C
4.C
5.B
6.C
7.B
8.A
9.D
10.D
UN
IT 13
1.B
2.C
3.D
4.D
5.C
6.D
7.A
8.D
9.B
10.A
UN
IT 14
1.3
2.2
3.4
4.8
5.8 6 6
6.8 0 9
3 1 45 7 4
+ 5 1 12 1 3
1 6 9 11 5 9 6
7.4
8.7
9.2 4 8
10.4 2 5
7 6 36 8 2
+ 1 4 2+ 1 7 7
1 1 5 31 2 8 4
UN
IT 15
1.A
2.B
3.D
4.B
5.B
6.D
7.D
8.B
9.B
10.B
UN
IT 16
1.A
2.B
3.C
4.C
5.A
6.D
7.C
8.B
9.D
10.C
UN
IT 17
1.A
and E2.
B and D
3.A
and F4.
B and F
5.B
and C6.
C and E
7.A
and C8.
A and D
9.C
and F10.
D and E
UN
IT 18
©P
hilip Kay B
A
17104
9
6
51711
20 710
1716
5459
41321
68
1.3.5.7.9.
2.4.6.8.
10.
STE
P BY
STE
P NO
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BA
L RE
ASO
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G
Step by Step Non Verbal Reasoning_Main text 07/05/2013 16:04 Page 44
PUBLISH
ED BY
LEAR
NIN
G TO
GETH
ER18 Shandon Park, B
elfast BT
5 6NW
. Phone/fax 028 90402086w
ww
.learningtogether.co.uk email: sm
ON
LIN
E PL
AT
FOR
M: w
ww
.onlineelevenplusexams.co.uk
This book has been written by Philip Kay, an experienced eleven plus tutor who has used this method for many years to explain Non-Verbal Reasoning questions to his pupils. This book is an excellent aid in preparing children for their 11+ or 12+ examinations.
It can also be used in preparing children for grammar school, independent and private school selection tests.
(These tests vary depending on the Local Education Authority or school. You should check requirements with your Local Education Authority or school.)
This book explains the concepts in the Learning Together Non-Verbal Reasoning books.18 different Non-Verbal Reasoning topics are explained in a simple “Step by Step” manner.
• Each topic is dealt with in a separate unit. • Each unit has two sections:
1. The INTRODUCTION with a worked Non-Verbal Reasoning example and Step-by-Step instructions. 2. The EXERCISE that follows has Non-Verbal Reasoning questions with some “Hints” for extra help.
A detachable answer sheet and score sheet to monitor progress are provided at the back of this book.A pupil working through this book will be better prepared to attempt any Non-Verbal Reasoning questions that he or she might be asked to answer as part of any eleven plus examination.
This Step by Step book Non-Verbal Reasoning book compliments the range of Learning Together Non-Verbal Reasoning and Verbal Reasoning books and their Step by Step Verbal Reasoning book.
Revised edition published 2015ISBN - 1-873385-24-2ISBN - 13: 978-1-873385-24-1© Phillip Kay BA
The right of Philip Kay to be identified as the author of this book has been asserted by him in accordance with the Copyright, Designs and Patents Act.
PUBLISHED BY LEARNING TOGETHER 11+ PUBLISHERS Ltd 18 Shandon Park, Belfast, BT5 6NW
Phone/fax 028 90402086 e-mail: [email protected]
WEBSITE: www.learningtogether.co.uk ONLINE PLATFORM: www.onlineelevenplusexams.co.uk
All rights reserved. © Learning Together 2015. No part of this publication, in whole or in part, may be reproduced, stored in a retrieval system or transmitted, in any form, or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior written consent of the copyright owner.
THE COPYRIGHT OF THESE TESTS WILL BE FORCEFULLY DEFENDED
Whilst the content of this book is believed to be true and accurate at the time of going to press, neither the authors nor publishers can accept any legal responsibility or liability for any errors or omissions that may have been made.
All rights reserved. © Learning Together 2015. No part of this publication, in whole or in part, may be reproduced, stored in a retrieval system or transmitted, in any form, or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior written consent of the copyright owner.
THE COPYRIGHT OF THESE TESTS WILL BE FORCEFULLY DEFENDED
Whilst the content of this book is believed to be true and accurate at the time of going to press, neither the authors nor publishers can accept any legal responsibility or liability for any errors or omissions that may have been made.
LEARNING TOGETHER BOOKS
TITLE ISBN
How to do Non Verbal Reasoning – A Step by Step GuideISBN - 13: 978-1-873385-24-1ISBN - 10: 1-873385-24-2
Preparation for 11+ and 12+ Tests – Non Verbal Reasoning Book 1ISBN - 13: 978-1-873385-22-7ISBN - 10: 1-873385-22-6
Preparation for 11+ and 12+ Tests – Non Verbal Reasoning Book 2ISBN - 13: 978-1-873385-23-4ISBN - 10: 1-873385-23-4
Preparation for 11+ and 12+ Tests – Non Verbal Reasoning Book 1 MULTIPLE CHOICE
ISBN - 13: 978-1-873385-30-2ISBN - 10: 1-873385-30-7
Preparation for 11+ and 12+ Tests – Non Verbal Reasoning Book 2 MULTIPLE CHOICE
ISBN - 13: 978-1-873385-31-9ISBN - 10: 1-873385-31-5
How to do Verbal Reasoning – A Step by Step GuideISBN - 13: 978-1-873385-29-6ISBN - 10: 1-873385-29-3
Preparation for 11+ and 12+Tests – Verbal Reasoning Book 1ISBN - 13: 978-1-873385-25-8ISBN - 10: 1-873385-25-0
Preparation for 11+ and 12+Tests – Verbal Reasoning Book 2ISBN - 13: 978-1-873385-26-5ISBN - 10: 1-873385-26-9
Preparation for 11+ and 12+Tests – Verbal Reasoning Book 3ISBN - 13: 978-1-873385-27-2ISBN - 10: 1-873385-27-7
Preparation for 11+ and 12+Tests – Verbal Reasoning Book 4ISBN - 13: 978-1-873385-28-9ISBN - 10: 1-873385-36-6
Preparation for 11+ and 12+Tests – Verbal Reasoning Tests10 TESTS | 850 QUESTIONS | 50 MINUTES EACH TEST(This is a compilation of Verbal Reasoning Books 1 & 2)
ISBN - 13: 978-1-873385-36-4ISBN - 10: 1-873385-36-6
Preparation for 11+ and 12+Tests – More Verbal Reasoning Tests10 TESTS | 850 QUESTIONS | 50 MINUTES EACH TEST(This is a compilation of Verbal Reasoning Books 3 & 4)
ISBN - 13: 978-1-873385-37-1ISBN - 10: 1-873385-37-4
Preparation for 11+ and 12+ Tests – Verbal Reasoning Challenge TestsISBN - 13: 978-1-873385-33-3ISBN - 10: 1-873385-33-1
Preparation for Common Entrance and 11+ and 12+Tests – Mathematics ISBN - 13: 978-1-873385-20-3ISBN - 10: 1-873385-20-X
Preparation for Common Entrance and 11+ and 12+Tests – English ISBN - 13: 978-1-873385-21-0ISBN - 10: 1-873385-21-8
Preparation for Common Entrance – ScienceISBN - 13: 978-1-873385-19-7ISBN - 10: 1-873385-19-6
VISIT WWW.LEARNINGTOGETHER.CO.UK TO ORDER ON LINE