MATHEMATICS - edupub.gov.lk

1 IMATHEMATICSE ducational Publications DepartmentGrade 7 Part - IiiFirst Print - 2015 Second Print - 2016 Third Print - 2017 Fourth Print - 2018 Fifth Print - 2019 All Rights ReservedISBN 978-955-25-0102-9 Published by Educational Publications DepartmentPrinted by Fast Printery (Pvt) Ltd. No. 165, Devanampiyatissa Mawatha, Colombo 10iiiThe National Anthem of Sri LankaSri lanka MathaApa Sri lanka Namo Namo Namo Namo MathaSundara siri barinee, surendi athi sobamana LankaDhanya dhanaya neka mal palaturu piri jaya bhoomiya ramya Apa hata sepa siri setha sadana jeewanaye mathaPiliganu mena apa bhakthi pooja Namo Namo MathaApa Sri lanka Namo Namo Namo Namo MathaOba we apa vidyaObamaya apa sathyaOba we apa shakthiApa hada thula bhakthiOba apa aloke Apage anupraneOba apa jeevana we Apa mukthiya oba weNava jeevana demine, nithina apa pubudukaran mathaGnana veerya vadawamina regena yanu mana jaya bhoomi karaEka mavakage daru kela bevinaYamu yamu vee nopamaPrema vada sema bheda dureradaNamo, Namo MathaApa Sri lanka Namo Namo Namo Namo Mathaivwms fjuq tl ujlf.

2 Orefjdatl ksjfiys fjfikdtl mdge;s tl re rh f wm lh ;=< jkdtne ks wms fjuq fidhqre fidhq fhdatl f,i tys jefvkd j;a jk wm fuu ksjfiafid k is h hq;= f ieug u fu;a lreKd .=fKkSfj<S o kSrka Ks uq;= fkd j th u h iem;dlsis l, fkdu rkdwdkkao iurfldakaJ u UP | J | C | Eh Kk J | S v { Au \ P u | J | | C C | u sk A P n h J ] UP vku o zx & Ax a \ . B u \ U P P u .v The past two decades have been significant in the world history due to changes that took place in technology. The present students face a lot of new challenges along with the rapid development of Information Technology, communication and other related fields. The manner of career opportunities are liable to change specifically in the near future. In such an environment, with a new technological and intellectual society, thousands of innovative career opportunities would be created.}

3 To win those challenges, it is the responsibility of Sri Lankan Government and myself, as the Minister of education , to empower you all. This book is a product of free education . Your aim must be to use this book properly and acquire the necessary knowledge out of it. The government in turn is able to provide free textbooks to you, as a result of the commitment and labour of your parents and we have understood that the education is crucial in deciding the future of a country, the government has taken steps to change curriculum to suit the rapid changes of the technological world. Hence, you have to dedicate yourselves to become productive citizens. I believe that the knowledge this book provides will suffice your aim. It is your duty to give a proper value to the money spent by the government on your education . Also you should understand that education determines your future.

4 Make sure that you reach the optimum social stratum through congratulate you to enjoy the benefits of free education and bloom as an honoured citizen who takes the name of Sri lanka to the world. Akila Viraj Kariyawasam Minister of EducationBeing innovative, changing with right knowledgeBe a light to the country as well as to the from the Hon. Minister of EducationviForeword The educational objectives of the contemporary world are becoming more complex along with the economic, social, cultural and technological development. The learning and teaching process too is changing in relation to human experiences, technological differences, research and new indices. Therefore, it is required to produce the textbook by including subject related information according to the objectives in the syllabus in order to maintain the teaching process by organizing learning experiences that suit to the learner needs. The textbook is not merely a learning tool for the learner.

5 It is a blessing that contributes to obtain a higher education along with a develop-ment of conduct and attitudes, to develop values and to obtain learning government in its realization of the concept of free education has offered you all the textbooks from grades 1-11. I would like to remind you that you should make the maximum use of these textbooks and protect them well. I sincerely hope that this textbook would assist you to obtain the expertise to become a virtuous citizen with a complete personality who would be a valuable asset to the would like to bestow my sincere thanks on the members of the editorial and writer boards as well as on the staff of the Educational Publications Department who have strived to offer this textbook to you. W. M. Jayantha Wickramanayaka,Commissioner General of Educational Publications,Educational Publications Department,Isurupaya, viiMonitoring and Supervision - Jayantha Wickramanayaka - Commissioner General of Educational Publications Educational Publications DepartmentDirection W.

6 A. Nirmala Piyaseeli - Commissioner of Educational Publications (Development) Educational Publications DepartmentCo-ordination Mrs. H. Chandima Kumari de Zoysa - Assistant Commissioner Educational Publications DepartmentMrs. T. D. C. Kalhari Gunasekara - Assistant Commissioner Educational Publications DepartmentPanel of EditorsDr. Romaine Jayewardene - Senior Lecturer Department of MATHEMATICS , Faculty of Science University of ColomboDr. R. T. Samarathunga - Senior Lecturer Department of MATHEMATICS , Faculty of Science University of Colombo Dr. Naleen Ganegoda - Senior Lecturer Faculty of Applied Science University of Sri JayewardenepuraB.

7 D. Chitthananda Biyanwila - Director of education ( MATHEMATICS ) Ministry of EducationM. N. P. Pieris - Lecturer National Institute of EducationS. Rajendran - Lecturer National Institute of EducationH. Chandima Kumari De Zoysa - Assistant Commissioner Educational Publications DepartmentviiiT. D. C. Kalhari Gunasekara - Assistant Commissioner Educational Publications DepartmentPanel of WritersB. L. Samarasekara - Lecturer Department of MATHEMATICS , Faculty of Science University of ColomboAnuradha Mahasinghe - Lecturer Department of MATHEMATICS University of ColomboDr. Jayampathi Rathnayake - Lecturer Department of MATHEMATICS University of Colombo K. U. S. Somarathna - Lecturer Faculty of Engineering,University of Moratuwa Anura D. Weerasinghe - (Piriwena)Matara DistrictB. M. Bisomenike - Divisional education Office, WariyapolaB. L. Mithrapala - Assistant Director of education Zonal education Office, HakmanaAjith Ranasinghe - Zonal education Office, HomagamaMervyn Ruberu Gunasekara - Principal (Retired) D.

8 Liston Silva - Principal (Retired) M. S. Rafeethu - (Retired) U. Vivekananthan - Principal, Sinhala Vidyalaya, Dikoyaix R. S. E. Pushparajan - Assistant Director of education (Retired)H. Chandima Kumari De Zoysa - Assistant Commissioner Educational Publications Department Proof ReadingAsirini De Mel - Ladies' College, Colombo 7S. D. C. Nilushi Siripala - Musaeus College, Colombo 7 Computer TechnologyB. A. Chalani Yuranga - Educational Publications DepartmentP. D. Piyumi Hansika - Educational Publications Department W. A. Poorna Jayamini - Educational Publications DepartmentCover Design R. M. Rajitha Sampath - Educational Publications DepartmentxMessage of the Boards of Writers and EditorsThis textbook has been compiled in accordance with the new syllabus which is to be implemented from 2016 for the use of grade seven students. We made an effort to develop the attitude We can master the subject of MATHEMATICS well in compiling this textbook, the necessity of developing the basic foundation of studying mathematical concepts in a formal manner was specially considered.

9 This textbook is not just a learning tool which targets the tests held at school. It was compiled granting due consideration to it as a medium that develops logical thinking, correct vision and creativity in the child. Furthermore, most of the activities, examples and exercises that are incorporated here are related to day to day experiences in order to establish mathematical concepts in the child. This will convince the child about the importance of MATHEMATICS in his or her daily life. Teachers who guide the children to utilize this textbook can prepare learning tools that suit the learning style and the level of the child based on the information provided outcomes are presented at the beginning of each lesson. A summary is provided at the end of each lesson to enable the child to revise the important facts relevant to the lesson. Furthermore, at the end of the set of lessons related to each term, a revision exercise has been provided to revise the tasks completed during that child does not have the same capability in understanding mathematical concepts.

10 Thus, it is necessary to direct the child from the known to the unknown according to his / her capabilities. We strongly believe that it can be carried out precisely by a professional teacher. In the learning process, the child should be given ample time to think and practice problems on his or her own. Furthermore, opportunities should be given to practice MATHEMATICS without restricting the child to just the theoretical knowledge provided by firm wish is that our children act as intelligent citizens who think logically by studying MATHEMATICS with of Writers and EditorsxiContents 1' Symmetry 12' Sets 133' Operations On whole numbers 204' Factors and Multiples (Part I) 29 Factors and Multiples (Part II) 365' Indices 516' Time 577' Parallel Straight Lines 698' Directed Numbers 819' Angles 91 Revision Exercise - I 10810' Fractions (Part I) 113 Fractions (Part II) 12811' Decimals 13912' Algebraic Expressions 152 Glossary Lesson Sequence xii%: <+ >2x1237%.