Galore Park Parent Catalogue 2018

11+ REVISION & PRACTICE

non-Verbal Reasoning

Non-Verbal Reasoning

Contents and progress record Use this page to plot your revision. Colour in the boxes when you feel confident with the skill and note your score and time for each test in the boxes.

The support of 11+ tutors, independent school teachers, test writers and specialist authors has ensured that all books in this essential new range are accessible, engaging and provide exceptional preparation.

Placement Skilldefinition: Findpatternswhere thepositionof the elements change,or showdirection. l Youhave seen that there canbemanydifferent elements in aNon-VerbalReasoningquestion. Sometimes the position inwhich they areplaced can alsobe important. l The common featuresyoumay come across are: • patternsmadeupof groupsof shapes

Placement

Train 1 The setof squareson the right ismadeupofone large ‘transparent’ square and anumberofother smaller squares that are shaded eitherblackorwhite. (a) Howmany squares are there in thispicture? (b) In the setof triangles above, thewhite triangles are all ‘transparent’ and the same size.

l How to use this book

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■ Handy contents pages double as progress records, to easily track progression throughout the course

Part 1: What is Non-Verbal Reasoning?

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What is the totalnumberof triangles,bothblack andwhite, in thepicture?

1 General themes and question types

• thedirection inwhich a shapeor arrow ispointing • thepositionof shapes in relation to eachother (such asnext to a sideor vertex) and whether they are touchingor separate • shapes thatoverlap and create layers.These generally stay the same shade although, in moredifficult examples, the shadingmay change aswell. l Sometimes the changing feature is a space rather than anyof the elements in an image.Here the gaps in the squares are all facingoutwards. Method

■ No prior knowledge of non-verbal reasoning required, chapter introductions link the skills with work already covered in maths lessons

Try

Look at the two setsofpictureson the left connectedby arrows anddecidehow thefirst pictureshavebeen changed to create the second.Now apply the same rule to the third set and circle the letterbeneath the correct answer from thefiveoptions.

l What you can expect to see ............................. 12 l Working out what is important ....................... 14 l Questions where the picture changes ........... 16 l Questions where the picture moves ............... 18 l Questions involving algebra............................... 20 l Questions involving matrices ............................ 22 l Test 1....................................................................... 24

Drawshapeson tracingpaperso thatyoucan look atthenewshapes createdwhenyou overlapthem in differentways.

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■ Clear chapter headings divide revision into manageable chunks

26 / 8 Part 1: What is Non-Verbal Reasoning? 1 General themes and question types Introduction When you first look at a set of Non-Verbal Reasoning questions, you may find it difficult to know where to start. They may not seem to relate to anything you have encountered at school, so where do you begin? You might be surprised to find out that Non-Verbal Reasoning questions are closely linked to areas of Maths. The learning ladders below show you how these unfamiliar questions are actually testing skills you already have, just in a slightly different way. Simpler Non-Verbal Reasoning skills appear at the bottom of t e ladders, working towards the more challenging skills at the top. :

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Look at the two setsofpictureson the left connectedby arrows anddecidehow thefirst pictureshavebeen changed to create the second.Now apply the same rule to the third set and circle the letterbeneath the correct answer from thefiveoptions.

Test

Test time: 02:00

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11+ Non-Verbal Reasoning STUDY AND REVISION GUIDE

a e l This is a variationon the Applyingchanges questiononpages30–31,with an extra example. b c d

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Part 2: Skills for solving questions 11+ Non-Verbal Reasoning Study and Revision Guide – Contents and progress record

l Startby comparing thefirstpairofpictures. • Thewhite circleon the leftdoesnot change

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• Theblack and striped shapes change in shading and also inposition– themiddle shape overlaps the right-hand shape in thefirstpicturebut the right-hand shapeoverlaps the middle shape in the secondpicture. l Now look at the second setofpictures. • Theblack staron the leftdoesnot change. • Themiddle and right-hand shapes appear to change shading and shape.However, the rule used to change thebottom setofpictures is the same as in the top set, even though it is moredifficult to seewhat is goingonwith thepolygon and the triangle. l Finally apply the same rule to thepictureon the right. • Thewhite trianglewillnot change,whichmeansyou can rejectoptions a and e . • Lookingat the two shapeson the rightof thispicture,you know that the right-hand shapewill overlap the shape in themiddle.Both c and d could stillbe correct,butnot b . • Youalsoknow that the shading and theposition swap, sooption c mustbe thecorrectanswer.

■ Covers all skills and question types that could be encountered in pre-tests and 11+ independent school exams ■ Includes helpful insight into the exams, with practical tips and advice ■ Topics including sequences, translations and matrices

l Working with numbers ....................................... 28 l Problems involving scale .................................... 30 l Shapes and shading .............................................. 32 l Line styles and angles .......................................... 34 l 3D views of 2D pictures ...................................... 36 l 2D views of 3D pictures ...................................... 40 l Test 2....................................................................... 42 Matrices NON-VERBALREASONING LEARNING LADDER Connectionswith codes Sequences Translation Rotation Reflection Placement Shapesand shading 2Dviewsof3D shapes Line stylesandangles Workingwithproportion Workingwithnumbers Reasoning Study and Revision Guide – Learning Ladder for Chapter 1 2 Numbers, shapes and relationships

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MATHEMATICS LEARNING LADDER

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Handlingdata

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Algebra

£12.99 9781471849251

11+ Non-Verbal Reasoning Study and Revision Guide – Chapter 3: Links of position and direction

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Positionanddirection

Measurement

Propertiesof shapes

Ratioandproportion

Fractions

11+ Non-Verbal

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Calculations

Numberandplacevalue

This section, Part 1, explains which areas of Maths can help you break down the questions into steps that are easy to follow. It then looks at a few of the different types of questions you might find them in. In Parts 2 and 3, you will work from the simpler skills at the bottom of the learning ladder to the more challenging skills further up. You will reach the top of the ladder in Part 3! Non-VerbalReasoningquestions are testing anumberof skills. Some relate to the ability to identifypatternsbetween shapes; some linkmore closely tomemory, such as themore complex translations and rotations inChapter3.Othersquestions relate to spatial abilities, for example, where the task is to visualise a three-dimensional (3D) shape from adifferent angle. Advice for parents Learning ladders show how skills in non-verbal reasoning link to familiar areas of maths children have learned in school

Non-Verbal Reasoning workbooks

■ Practise extensively with over 300 questions in each book ■ Develop problem-solving skills and techniques ■ Improve speed in answering questions

Sequences 2

Sequences2

The followingquestionshave either a spaceor anoutline forwhere themissingpicture in the sequencebelongs.

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Have a go

In these sequences eachpicture changes in someway from thepicturebefore it.Complete thefinalpicture in each sequence.

£8.99 9781471849350

£8.99 9781471849343

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Paper 10

“There’s a great choice of workbooks to use [...] The questions are clear to read and follow. They also vary in difficulty allowing opportunities for challenging most able children”. - Wendy Chapman, Tutor

Test time:22:00

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Look at these setsofpictures. Identify theone that ismostunlike theothers.Circle the letterbeneath the correct answer. For example:

Forquestions3 and4draw themissingpicture in the sequence. 3

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5 Look at all the elements in this sequence.Then answer thequestions about iton the answer linesbelow.

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£8.99 9781471849367

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(a) Which shape rotates90° clockwise?

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(b) Which shape increasesbyone each time?

(c) Which shape alternates itsposition?

11+ Non-Verbal Reasoning practice papers

Test yourself

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Thefiveboxeson the left show apattern that is arranged in a sequence.Choose the answer option that completes the sequencewhen inserted in theblankbox.Circle the letterbeneath the correct answer.For example:

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Score

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Try it out

■ Perfect exam technique with a variety of exam-paper styles under timed conditions ■ Identify weaker areas and improve results with detailed model answers and commentary ■ Help children to improve their response rates with timed papers

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Drawfivecircles.Drawasequenceof fourpatterns in themand leaveoneblank. Infiveothercircles, suggestsomeansweroptionsandsee ifa friendorparentcanguesswhich is themissingpattern.

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C Codes, sequences andmatrices 44

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Non-Verbal Reasoning Workbook Age 8–10 – C: Codes, sequences and matrices 9781471849343.indd 44 24/02/16 11:39AM 9781471849343.indd 45

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£9.99 9781471869075

£9.99 9781471849305

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11+ Non-Verbal Reasoning Practice Papers 2 – Paper 10

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Te l : 0 2 0 3 1 2 2 6 4 0 5 I V i s i t : g a l o r e p a r k . c o . u k

Te l : 0 2 0 3 1 2 2 6 4 0 5 I V i s i t : g a l o r e p a r k . c o . u k