PREFACE TO THE REVISED EDITION:

The Revised edition of the book "MATHEMATICS FOR CLASS VII" has been written strictly according to the latest syllabus prescribed by the NCERT.

In the present edition, at the end of each chapter an exercise containing large number of objective type questions have been added which will help students to test their knowledge and understanding of concepts.

Keeping in mind the mental level of a child, every effort has been made to introduce new concepts in a simple language so that the child understand them easily. Basic concepts have been explained through attractive illustrations relating to our day-to-day life experiences.

The book has been divided into 25 Chapters and text has been re-written in a lucid manner. The difficulty level of the problems has been reduced and mathematical concepts have been explained in the simplest possible way. Each chapter contains a large number of illustrative examples to understand the applications of concepts. In each section, illustrative examples are followed by an exercise containing an adequate number of unsolved problems. The difficulty level of problems in exercises have also been reduced.

Students are advised to read the theory carefully and solve Illustrative Examples on their own before attempting the Exercises.

I hope that this book will be useful to the students and teachers a like.

I avail this opportunity to convey my sincere thanks to Sh. Ish Kanpur of Dhanpati Rai Publications (P) Ltd. for his encouragement and painstaking efforts in bringing out this book in such an excellent from.

In spite of my best efforts to make this edition error free, some printed errors might have gone un-noticed. I shall be grateful to the teachers and students if the same are brought to my notice. You may send your valuable suggestions, feedback or queries by post or through e-mail to ish.dhanpat@gmail.comwhich would be verified by me and the corrections would be incorporated in the subsequent editions.

Any suggestion/criticism to enhance the quality of the book will be gratefully acknowledged.

Dr. R.D. Sharma

CONTENTS

Preface to the revised edition.

1. INTEGERS..............................................................................................1.1-1.15

2. FRACTIONS...........................................................................................2.1-229

3. DECIMALS..............................................................................................3.1-3.20

4. RATIONAL NUMBERS........................................................................4.1-4.30

5. OPERATIONS ON RATIONAL NUMBERS....................................5.1-5.18

6. EXPONENTS...........................................................................................6.1-6.34

7. ALGEBRIC EXPRESSIONS..................................................................71-722

8. LINEAR EQUATIONS IN ONE VARIABLES....................................8.1-8.28

9. RATIO AND PROPORTION.................................................................9.1-9.16

10. UNITARY METHOD"...........................................................................10.1-10.4

11. PERCENTAGE.......................................................................................11.1-11.16

12. PROFIT AND LOSS...............................................................................121-1210

13. SIMPLE INTEREST.................................................................................13.1-13.10

14. LINES AND ANGLES.............................................................................14.1-1434

15. PROPERTIES OF TRIANGLES............................................................15.1-15.38

16. CONGRUENCE".......................................................................................16.1-16.28

17. CONSTRUCTIONS...................................................................................171-178

18. SYMMETRY.................................................................................................18.1-18.18

19. VISUALISING SOLID SHAPES..............................................................19.1-197

20. MENSURATION – 1...................................................................................20.1-20.33

21. MENSURATION-II.......................................................................................21.1-21.18

22. DATA HANDLING I (Collection and Organization of Data) ...........22.1-22.7

23. Data Handling II (Central Values) ...........................................................23.1-23.22

24. Data Handling III (Construction of Bar Graphs) ..................................24.1-24.8

25. Data Handling IV (Probability)...................................................................25.1-25.8

*These chapters have been excluded from the current syllabus as Rationalized by NCERT. 1