Basic Skills - Blake Education

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Typeset by Mathematical Desktop Publishing. Revision ... This book is dedicated to all the children of Australia, who by
Basic Skills

Basic Skills

Get the Results You Want!

In ✓ ✓ ✓

this book your child will find:

Eight self-contained, carefully graded units Hundreds of practice exercises Quick questions and revision pages to stay in touch with previous work ✓ Diagnostic and mastery tests to measure students knowledge ✓ A lift-out answer section Multiplication and division are fundamentally important skills that all students need in order to succeed in Mathematics. This book revises the core concepts involved in division and multiplication, and then applies these skills to larger numbers. On completion of this book, students should be confident in short and long division, multiplication, place value trading, square numbers and order of operations.

About the author AS Kalra has over 30 years experience teaching Mathematics. He is the author of many successful Mathematics books, including the Excel Basic Skills Addition and Subtraction books.

Your own checklist for Excel books for Years 5–6 Ages 10–12 children: Bookseller reference

Books

Level

978-1-86441-276-5 978-1-86441-277-2

Core books: Excel Basic Skills English and Mathematics Excel Basic Skills English and Mathematics

Year 5 Year 6

978-1-86441-280-2 978-1-74125-159-3

English books: Excel Basic Skills Comprehension and Written Expression Excel Basic Skills English Workbook

Year 5 Year 6

978-1-86441-287-1 978-1-74020-051-6 978-1-74125-590-4 978-1-74125-183-8

Mathematics books: Excel Basic Skills Addition and Subtraction Excel Basic Skills Problem Solving Excel Basic Skills Money, Time, Fractions and Decimals Excel Basic Skills Mental Maths Stategies

Years 5–6 Years 5–6 Years 5–6 Year 6

978-1-74125-173-9 978-1-74125-208-8 978-1-74125-360-3 978-1-74125-364-1 978-1-74125-232-3 978-1-74020-045-5

Other books: Excel NAPLAN*-style Tests Excel Revise in a Month NAPLAN*-style Tests Excel NAPLAN*-style Numeracy Tests Excel NAPLAN*-style Literacy Tests Excel Test Zone NAPLAN*-style Test Pack Excel Basic Skills Science and Technology

Year 5 Year 5 Year 5 Year 5 Year 5 Years 5–6 ISBN 978-1-86441-289-5

Excel Test Zone

Get the Results You Want!

Help your child prepare with our H * N -style and Australian Curriculum Tests. FREE NAPLAN www.exceltestzone.com.au *This isi nott an offi *Thi fficially i ll endorsed d publication of the NAPLAN program and is produced by Pascal Press independently of Australian governments.

9781864412895_BS_MultiDiv_5and6 CVR NS PRESS HB issues_2016.indd 1

Pascal Press PO Box 250 Glebe NSW 2037 (02) 8585 4044 www.pascalpress.com.au



5–6 Multiplication and Division

Years

Years 5–6 Ages 10 –12 years old

M ULTI PL I CAT I ON A N D D I V I S I O N Ye ar s 5 – 6 A g e s 1 0 – 12

Multiplication and Division

Ages

10–12

Eight graded units Hundreds of practice exercises Diagnostic and mastery tests

t! n a W u o Y ts l u s e Ge t t he R

AS Kalra 18/10/2016 2:52 pm

Basic Skills Years

5–6 Multiplication and Division Ages

10–12

t! n a W u o Y s lt u s e R Ge t t he

AS Kalra 9781864412895_Prelims 2016.indd 1

18/10/2016 2:56 pm

© 1998 AS Kalra and Pascal Press Reprinted 2000, 2002, 2003, 2004 (twice), 2006, 2007, 2008 (twice), 2009, 2010, 2011 (three times), 2013, 2014, 2015, 2016 ISBN 978 1 86441 289 5 Pascal Press Pty Ltd PO Box 250 Glebe NSW 2037 (02) 8585 4044 www.pascalpress.com.au Publisher: Vivienne Joannou Typeset by Mathematical Desktop Publishing Revision by JMV Computer Services Cover by DiZign Pty Ltd Printed by Green Giant Press Reproduction and communication for educational purposes The Australian Copyright Act 1968 (the Act) allows a maximum of one chapter or 10% of the pages of this book, whichever is the greater, to be reproduced and/or communicated by any educational institution for its educational purposes provided that that educational institution (or the body that administers it) has given remuneration notices to Copyright Agency Limited (CAL) under the Act.

For details of the CAL licence for educational institutions contact: Copyright Agency Limited Level 15, 233 Castlereagh Street Sydney NSW 2000 Telephone: (02) 9394 7600 Facsimile: (02) 9394 7601 E-mail: [email protected] Reproduction and communication for other purposes Except as permitted under the Act (for example, any fair dealing for the purposes of study, research, criticism or review) no part of this book may be reproduced, stored in a retrieval system, communicated or transmitted in any form or by any means without prior written permission. All inquiries should be made to the publisher at the address above.

This book is dedicated to all the children of Australia, who by their hard work and intelligence will build and shape the future and destiny of our nation in the twenty-first century. This book is also dedicated to the loving memory of my dear mum, dad and uncle, who will remain a great source of inspiration and encouragement to me for times to come. Acknowledgements I would especially like to express my thanks and appreciation to my dear wife and son, who have helped me find the time to write this book. Without their help and support, achievement of all this work would not have been possible. © Pascal Press ISBN 978 1 86441 289 5

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Excel Basic Skills Multiplication and Division Years 5-6

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CONTENTS INTRODUCTION

TABLES

................................................................................................................

iv

......................................................................................................................................

1

MULTIPLICATION TABLES

......................................................................................

2

DIVISIBILTY TESTS

.......................................................................................................

3

DIAGNOSTIC TEST

.......................................................................................................

4

UNIT 1

Multiplication in general

UNIT 2

Division of 2 digit and 3 digit numbers

UNIT 3

Multiplication in extended form

ANSWERS (lift-out section)

...................................................................... ..................................

13

....................................................

19

..........................................................................

UNIT 4

Division and its special properties

UNIT 5

Order of operations

UNIT 6

Multiplication of larger numbers

UNIT 7

Number patterns and missing numbers

UNIT 8

Division of larger numbers

MASTERY TEST

6

A1–A8

............................................

29

.................................................................................

35

.................................................

42

..............................

48

...............................................................

54

...............................................................................................................

59

About the Diagnostic Test The first thing each child should do is a complete Diagnostic Test. Students should then do the whole chapter for any unit where they get more than one question wrong.

iii © Pascal Press ISBN 978 1 86441 289 5

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Excel Basic Skills Multiplication and Division Years 5-6

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INTRODUCTION Mathematics is a highly important subject in our school syllabus. It is the study of numbers— which surround us everywhere in our lives. Although computers and calculators have become the order of the day and are quite handy, the human mind controls it all. Whatever we put into the mind during the initial stages and the formative years of the child is extremely important, and most significant for the years to come. This book of Mathematics for Year 5 and Year 6 is designed to make students feel confident in the basic processes of multiplication and division of whole numbers. It will help to satisfy the needs of slower learners, and provide enrichment opportunity for quicker learners. The important features of this book are: n It is written in eight self-contained units. Great care has been taken with the development of each unit. Lots of examples are given so that students can go through each unit confidently. Many exercises are provided to give sufficient practice to the students. n There is a set of Quick Questions in every unit. Sufficient exercises of all standards are given to make sure that the students think fast, and remain in touch with the previous work. n Stop, Revise and Check is designed to make the students feel confident that they are in full control of topics already done. n Stay in Touch is prepared to keep the students in touch with what they have done before. It also ensures that all topics receive constant revision. n The problem-solving approach is incorporated into all units under the heading of Brain Busters, and is not taught as a separate topic. n Maths at Your Fingertips is designed so that the students can remain in touch with the facts and rules of multiplication and division. n A Diagnostic Test and a Mastery Test have been included so that students can test their knowledge in the basic processes of multiplication and division. Considerable effort has been made to make this an interesting, appealing and meaningful book that students will find valuable and enjoyable. My best wishes are with you and I believe that this book will help you achieve the best possible results. Good luck in your studies!

AS Kalra

iv © Pascal Press ISBN 978 1 86441 289 5

9781864412895_Prelims 2016.indd 4

Excel Basic Skills Multiplication and Division Years 5-6

18/10/2016 2:56 pm

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

© Pascal Press ISBN 978 1 86441 289 5

Excel Basic Skills Multiplication and Division Years 5-6

Basic Skills

Basic Skills

Get the Results You Want!

In ✓ ✓ ✓

this book your child will find:

Eight self-contained, carefully graded units Hundreds of practice exercises Quick questions and revision pages to stay in touch with previous work ✓ Diagnostic and mastery tests to measure students knowledge ✓ A lift-out answer section Multiplication and division are fundamentally important skills that all students need in order to succeed in Mathematics. This book revises the core concepts involved in division and multiplication, and then applies these skills to larger numbers. On completion of this book, students should be confident in short and long division, multiplication, place value trading, square numbers and order of operations.

About the author AS Kalra has over 30 years experience teaching Mathematics. He is the author of many successful Mathematics books, including the Excel Basic Skills Addition and Subtraction books.

Your own checklist for Excel books for Years 5–6 Ages 10–12 children: Bookseller reference

Books

Level

978-1-86441-276-5 978-1-86441-277-2

Core books: Excel Basic Skills English and Mathematics Excel Basic Skills English and Mathematics

Year 5 Year 6

978-1-86441-280-2 978-1-74125-159-3

English books: Excel Basic Skills Comprehension and Written Expression Excel Basic Skills English Workbook

Year 5 Year 6

978-1-86441-287-1 978-1-74020-051-6 978-1-74125-590-4 978-1-74125-183-8

Mathematics books: Excel Basic Skills Addition and Subtraction Excel Basic Skills Problem Solving Excel Basic Skills Money, Time, Fractions and Decimals Excel Basic Skills Mental Maths Stategies

Years 5–6 Years 5–6 Years 5–6 Year 6

978-1-74125-173-9 978-1-74125-208-8 978-1-74125-360-3 978-1-74125-364-1 978-1-74125-232-3 978-1-74020-045-5

Other books: Excel NAPLAN*-style Tests Excel Revise in a Month NAPLAN*-style Tests Excel NAPLAN*-style Numeracy Tests Excel NAPLAN*-style Literacy Tests Excel Test Zone NAPLAN*-style Test Pack Excel Basic Skills Science and Technology

Year 5 Year 5 Year 5 Year 5 Year 5 Years 5–6 ISBN 978-1-86441-289-5

Excel Test Zone

Get the Results You Want!

Help your child prepare with our H * N -style and Australian Curriculum Tests. FREE NAPLAN www.exceltestzone.com.au *This isi nott an offi *Thi fficially i ll endorsed d publication of the NAPLAN program and is produced by Pascal Press independently of Australian governments.

9781864412895_BS_MultiDiv_5and6 CVR NS PRESS HB issues_2016.indd 1

Pascal Press PO Box 250 Glebe NSW 2037 (02) 8585 4044 www.pascalpress.com.au



5–6 Multiplication and Division

Years

Years 5–6 Ages 10 –12 years old

M ULTI PL I CAT I ON A N D D I V I S I O N Ye ar s 5 – 6 A g e s 1 0 – 12

Multiplication and Division

Ages

10–12

Eight graded units Hundreds of practice exercises Diagnostic and mastery tests

t! n a W u o Y ts l u s e Ge t t he R

AS Kalra 18/10/2016 2:52 pm