Name: _________________________________________________

AN HACHETTE UK COMPANY

Alison Primrose

WorkbookAge10–12

Verbal Reasoning

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ISBN: 978 1 471849 336

© Alison Primrose 2015

First published in 2015 by

Galore Park Publishing Ltd,

An Hachette UK Company Carmelite House50 Victoria EmbankmentLondon EC4Y 0DZwww.galorepark.co.uk

Impression number 10 9 8 7 6 5 4 3 2 1

Year 2020 2019 2018 2017 2016

All rights reserved. Apart from any use permitted under UK copyright law, no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying and recording, or held within any information storage and retrieval system, without permission in writing from the publisher or under licence from the Copyright Licensing Agency Limited. Further details of such licences (for reprographic reproduction) may be obtained from the Copyright Licensing Agency Limited, Saffron House, 6–10 Kirby Street, London EC1N 8TS.

Typeset in India

Printed in Spain

A catalogue record for this title is available from the British Library.

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Contents and progress recordUse this page to record your progress. Colour in the boxes when you feel confi dent with each skill and note your scores for the test yourself questions.

l Introduction ........................................................................ 5

l Join the words ..................................................................... 8

l Synonyms and antonyms 1 ......................................... 10

l Spot the difference ........................................................ 12

l Word analogies ................................................................ 14

l Match the meaning ....................................................... 16

l Choose a word to fi t a space ...................................... 18

l Complete the sentence 1 ............................................. 20

l Order the sentence ........................................................ 22

l Synonyms and antonyms 2 ......................................... 24

l Complete the sentence 2 ............................................. 26

1 Constructing words

2 Understanding word meaning

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l Balance the equation .................................................... 30

l Number analogies ........................................................... 32

l Number sequences ........................................................ 34

l Match the number code ................................................ 36

3 Working with numbers and algebra

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l Mental maths .................................................................... 28

l Algebra and probability ................................................. 29

Maths workout Maths workout Maths workout

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l Anagrams in lists ............................................................ 38

l Word sequences .............................................................. 40

l Letter sequences ............................................................. 42

l Apply the code ................................................................. 44

4 Applying algebra skills

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l Match the letter changes ............................................. 46

l Word relationships ......................................................... 48

l Statement logic ............................................................... 50

l Deduction ......................................................................... 52

l Spelling diffi cult words ................................................. 54

l Homonyms ....................................................................... 55

5 Developing logic skills

English workout

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l Answers (pull-out middle section) .................... A1–A8

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3 Working with numbers and algebra

Balance the equationThetwosidesofeachequationareequalinvalue.Workoutthecalculationontheleftinordertofindthemissingnumberontheright.

15–3+5=11+ –2

Have a go

Workouttheadditionandsubtractioncalculationsontheleftinordertofindthemissingnumberontheright.

1 3+9= +7

2 4+7=12–

3 10–3= +2

Workouttheadditionandsubtractioncalculationsontherightinordertofindthemissingnumberontheleft.

4 +6=14–2

5 13– =6+3

6 –4=15–9

Workoutthesemultiplicationanddivisioncalculationstofindthemissingnumber.

7 20÷5= x4

8 3x2= ÷2

9 16÷ =24÷3

Workfromlefttorighttocompletethesecalculations.

10 5x2=2x4+

11 12÷3+5=6x2–

12 19– =4x3+3

Nowtrytheselongerequations.Remember,bothsidesmustbeequalinvalue!

13 10÷2+3=2x –6

14 3x +2=3x9–10

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Balance the equation

Test yourself

Thetwosidesofeachequationareequalinvalue.Workoutthecalculationontheleftinordertofindthemissingnumberontheright.Writeinthemissingnumberonthelineintheequation.

1 6x3+2=25– (1)

2 2x2x5=2x (1)

3 7+8–3= x4 (1)

4 8÷4x3=2x –8 (1)

5 16÷4+1= –3+9 (1)

6 12÷2+4= x2 (1)

7 2x8÷4+3=10÷5+ (1)

8 12x2–7+4=15+ –5 (1)

9 8x3÷4+9= x2+1 (1)

10 21÷7x4+6=2x x3 (1)

Try it out

Insertnumbersintotheemptysquaresintheseequations.Thenaskafriendtoworkouttheunknownnumbertobalancetheequation.

1 x + = –?

2 – +?= + +

3 x x?= ÷ +

Score / 10

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Number analogiesThethreenumbersineachsetofbracketsareallrelatedinthesameway.Workouthowtheyarerelatedfromthefirsttwosetsofbrackets,thenapplythesamepatterntocompletethethirdset.

(3[21]7) (5[20]4) (4[ ]6)

Have a go

Beginbypractisingwithjustonesetofbrackets.Workoutwhathasbeendonewiththeouternumberstogivethemiddlenumber,thendecidewhethertherulewrittendowniscorrectorincorrect.Puta✓or✗nexttoeachrule.

1 (18[6]3) Dividethefirstnumberbythethirdtogivethemiddlenumber.

2 (6[13]1) Addthefirstandthirdnumberandmultiplytheanswerby2togivethemiddlenumber.

3 (2[8]5) Add5tothethirdnumbertogivethemiddlenumber.

4 (3[10]1) Multiplythefirstnumberbyitselfandaddthethirdnumbertogivethemiddlenumber.

5 (18[4]14) Subtractthethirdnumberfromthefirsttogivethemiddlenumber.

6 (9[3]7) Dividethefirstnumberby2togivethemiddlenumber.

7 (4[21]3) Addthefirstandthirdnumbersandmultiplyby3togivethemiddlenumber.

Nowseeifyoucanworkwithtwosetsofbrackets.Foreachquestiondecidewhetherthemiddlenumberinbothpairshasbeengivenusingthesamerule.Puta✓or✗byeachone.

8 (4[10]6) (11[15]4)

9 (2[6]3) (15[18]3)

10 (4[18]3) (9[12]2)

11 (12[16]20) (9[12]15)

Canyoudescribetherulebeingused?Bothsetsofbracketsineachquestionfollowthesamerule.

12 (6[13]20) (4[11]18)

13 (9[4]1) (17[7]3)

14 (4[24]3) (5[30]3)

24

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Num

ber analogies

Test yourself

Thethreenumbersineachsetofbracketsineachquestionareallrelatedinthesameway.Workouthowtheyarerelatedfromthefirsttwosetsofbrackets,thenapplythesamepatterntocompletethethirdset.Writethemissingnumbersonthelinesprovided.

1 (3[18]6) (2[8]4) (9[ ]7) (1)

2 (1[6]8) (3[10]4) (5[ ]6) (1)

3 (5[4]18) (2[9]22) (7[ ]14) (1)

4 (9[1]2) (16[3]1) (36[ ]3) (1)

5 (2[10]6) (4[20]4) (5[ ]12) (1)

6 (6[9]12) (8[12]16) (10[ ]20) (1)

7 (9[7]10) (4[5]7) (16[ ]5) (1)

8 (36[9]2) (24[2]6) (12[ ]3) (1)

9 (3[14]4) (6[24]6) (10[ ]1) (1)

10 (3[13]2) (1[17]4) (5[ ]7) (1)

Try it out

Nowseeifyoucanwritesomequestionsofyourown.Addnumberstocompletethequestionsbelowusingaruleyouhavemadeup.Thenseeifafriendcananswerthemcorrectly.

1 (6[ ] ) (3[ ] ) ( [ ] )

2 ( [ ]2) ( [ ]5) ( [ ] )

3 ( [16] ) ( [ ] ) ( [ ] )

Score / 10

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Number sequencesCompletethissequencebyaddinginthemissingnumbers.

4 8 13 19

Have a go

Whatcalculationmustbeperformedoneachnumberinthesequencetoproducethenextnumberinthesequence?

1 22 25 28 31 34

2 85 77 69 61 53

3 64 59 57 52 50

4 1 2 4 8 16 32

Ifeachnumberisdoublethepreviousnumberinthesequenceplus2,givethenexttwonumbersinthesesequences:

5 6

6 3.5

Thedifferencebetweeneachnumberinasequencemaynotalwaysbeconstant.Inthenexttwosequences,workoutthedifferencebetweeneachnumberinthesequenceandwriteitonthelineprovidedonthe‘Level1differences’line.Thenlookcarefullyatthepatterncreatedonthe‘Level1differences’lineandwritedownthedifferencesbetweeneachnumberonthelineprovidedonthe‘Level2differences’line.Thismethodwillenableyoutosolvemorecomplexsequences.

7 Sequence: 14 16 19 23

Level1differences: +2 +3

Level2differences: +1

8 Sequence: 85 80 74 67

Level1differences: –5 –6

Level2differences: –1

Inthesesequencestherearetwopatterns,givingalternatenumbers.Identifybothpatternsandfillinthemissingnumbers.

9 14 21 15 20 16 19 17

10 48 5 47 7 45 10 42

26 34

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Num

ber sequences

Findthenexttwonumbersinthesesequences.Workingoutdifferencesmayhelp.

11 10 17 13 20 16

12 6 5 9 7 11 8

13 480 240 120

14 2 3 5 8 13

Test yourself

Completeeachofthesesequencesbyaddinginthemissingnumbers.Writethenumbersonthelinesprovided.

1 61 54 47 40 (1)

2 17 20 26 35 47 (1)

3 31 33 30 32 29 (1)

4 13.5 15 16.5 (1)

5 1 3 7 15 31 (1)

6 154 82 46 28 (1)

7 125 64 8 1 (1)

8 23 17 12 8 (1)

9 4 38 7 16 13 5 (1)

10 4 7 5 9 8 13 (1)

Try it out

Howmanydifferentsequencescanyoumakestartingwiththethreenumbersgivenbelow?Writeoutthefirstfivenumbersineachsequenceandthenaskafriendtoworkoutthesixthnumberinthesequence.

2 5 7

Score / 10

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