MATHEMATICS

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1st EDITION

ISBN SYLLABUS COVERED

YEAR 2021-22 “978-93-5463-273-0”

ICSE-INDIAN CERTIFICATE OF SECONDARY EDUCATION EXAMINATION

PUBLISHED BY

COPYRIGHT

RESERVED BY THE PUBLISHERS All rights reserved. No part of this book may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, without written permission from the publishers. The author and publisher will gladly receive information enabling them to rectify any error or omission in subsequent editions.

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TABLE OF CONTENTS Latest CISCE Circular & Reduced/Bifurcated Syllabus issued by the Board, Dated 6 August 2021 z 7RSLFV)RXQG'L඼FXOW&RQIXVLQJE\&DQGLGDWHV z Suggestions for Students z

6 - 14    18 - 20

Unit-2: Algebra 1. 5HÁHFWLRQ 2. Section and Mid-Point Formula 3. Equation of Straight Lines Topic-1: Equation of Straight Lines Topic-2: Parallel and Perpendicular Lines  zSelf Assessment Test

1 - 12 13 - 25 26 - 42

43 - 44

Unit-3: Geometry 4. Circles 5. Tangents and its Properties  zSelf Assessment Test

45 - 56 57 - 72 73 - 75

Unit-4: Mensuration 6. Mensuration Topic-1: Surface Areas and Volumes Topic-2: Conversion of Solid from One Shape to Another  zSelf Assessment Test

76 - 91

92 - 93

Unit-5: Trigonometry 7. Trigonometric Identities 8. Heights and Distances  zSelf Assessment Test

94 - 105 106 - 127 128 - 129

Unit-6: Statistics 9. Statistics Topic-1: Mean, Median and Mode Topic-2: Calculation of Median and Mode through Graphs  zSelf Assessment Test

130 - 165

166 - 169

Unit-7: Probability 10. Probability zSelf Assessment Test

170 - 182 183 - 184



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TACKLING SEMESTER-2 EXAMS Semester-2 exams will be conducted around MarchApril 2022 for the latter 50% of syllabus. The two hours examination will consist of both Subjective & Objective

Banking on Better Systems “Improvise, Adapt, overcome” has been the mantra of education boards and schools everywhere. Conducting lectures as well as assessments online was still pretty uncommon in our country. But now teachers and students have got familiar with the new ways. What is pushing ‘Change’ even further is the new National Education Policy (NEP) of 2020. The intention of shifting from rote learning to competency-based development ZLOOSURYHEHQHÀFLDOWRWKHFRPLQJ generations; and in turn, to the country.

type questions. Though, if the Covid-19 situation does not allow for a physical exam at that time, the exams will be conducted in the online mode. To score well in Semester-2, students need to start by acquiring the latest and most relevant study material. The focus should be on conceptual clarity rather than mugging XSIDFWV6WXGHQWVVKRXOGÀQGRXWWKHLUSUHSDUDWLRQOHYHO by conducting regular self-assessments and practicing questions from this question bank. Breaking down the syllabus in a systematic way right from the beginning will help students learn better and secure a high score.

Oswaal Question Banks for ICSE Semester-2 exams include 1.

Strictly as per the Reduced & Bifurcated Semester-2 syllabus for Board Exams 2022

2.

Includes Questions of the both -Objective & Subjective Types Questions

3.

Chapter wise and Topic wise Revision Notes for in-depth study

 0RGLÀHG (PSRZHUHG0LQG0DSV 0QHPRQLFVIRUTXLFNOHDUQLQJ 5.

Concept videos for Blended Learning

6.

Previous Years’ Board Examination Questions and Marking Scheme Answers with detailed explanation to facilitate exam-oriented preparation.

7.

Examiners comments & Answering Tips to aid in exam preparation.

8.

Includes Academically important Questions (AI)

Our Heartfelt Gratitude Finally, we would like to thank our authors, editors, and reviewers. We promise to always strive towards ‘Making Learning Simple’ for all of you. Wish you all Happy Learning and a Successful 2021-22!!

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CISCE CIRCULAR 2021-22

Chief Executive & Secretary GERRY ARATHOON M.A., B.Ed. August 6, 2021 Dear Principal, Subject :

CISCE’s Modified Plan for Assessment at the ICSE (Class X) and ISC (Class XII) Levels for the Academic Year 2021-22.

In view of the continuing pandemic situation in the country and the disruption in educational activities brought about due to extended lockdowns, and the various alternate modes of syllabus transaction that need to be adopted, due to closure of schools, the CISCE had carried out an extensive exercise of Syllabus review. As a part of this exercise, syllabi for various subjects at the ICSE and ISC levels specifically for Classes X and XII, for the Examination Year 2022 were examined by subject experts to identify portions which may be reduced, without compromising on the quality of content. This Reduced Syllabus for the ICSE (Class X) and ISC (Class XII) Year 2022 Examinations is available on the CISCE website under the PUBLICATIONS section. In addition to reduction of Syllabus at the ICSE (Class X) and ISC (Class XII) levels, the CISCE will follow a different method of conducting Examinations for the Academic Year 2021-22. The details of this modified Assessment Plan for ICSE (Class X) and ISC (Class XII) levels for the Academic Year 2021-22 are given below: DIVISION OF THE ACADEMIC SESSION 2021-22 INTO TWO SEMESTERS ‡ 7KH$FDGHPLF6HVVLRQZLOOEHGLYLGHGLQWR7:26HPHVWHUVZLWKDSSUR[LPDWHO\ of the syllabus being covered in each Semester. ‡ 7KH5HGXFHG6\OODEXVIRU,&6(&ODVV; DQG,6&&ODVV;,, IRUWKH([DPLQDWLRQ