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© Target Publications Pvt. Ltd. No part of this book may be reproduced or transmitted in any form or by any means, C.D. ROM/Audio Video Cassettes or electronic, mechanical including photocopying; recording or by any information storage and retrieval system without permission in writing from the Publisher.

STD. VI MATHEMATICS

WORKBOOK

Based on the latest syllabus prescribed by the Maharashtra State Bureau of Textbook Production and Curriculum Research, Pune.

Name: -----------------------------------------------------------------------------------------------------

School:-----------------------------------------------------------------------------------------------------

Standard: ------------------- Division: ------------------- Roll No.: --------------------

• A Quick Understanding of theory at the beginning of every exercise

• Wide Variety of Questions to enhance problem solving skills

• Oral Tests for developing competency skills and mental calculations

• Apply your knowledge section to widen your knowledge spectrum

• Activities/Projects that help in experiential learning

• Unit Test and Semester Papers for thorough revision

• Fun time section for students to have fun while learning.

Salient Features

Printed at: Print Vision, Navi Mumbai

P.O. No. 145173 Balbharati Registration No.: 2018MH0022 TEID: 13029

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Mathematics workbook: Std. VI has been prepared as per the new ‘Continuous Comprehensive Evaluation’ (CCE) system which is more child-centric and focuses on active learning and making the process of education more enjoyable and interesting. Our Std. VI Mathematics workbook comes replete with a quick recap of Concepts, Summative Questions, Oral Tests and Formative Questions. The goal of this book is to provide practice to students and to help them understand the concepts better. Every Chapter consists of Let’s Understand section at the beginning of the Exercise that gives the readers an overview of the theory. The Summative Assessment section includes Questions based on the Practice sets of each chapter. The Formative Assessment part of the chapters includes Activity Based Questions along with Project Work. Each chapter comes with an exclusive section called Oral Test, which has been prepared to develop the competency skills and enhance mental calculations within a student. ‘Fun time’ section provided at the end of select chapters to help students have fun while learning. All the chapters have been covered extensively through the medium of practice questions and activities. Each Part comprises of two Unit Tests, which would help students in thorough revision of the chapters. The final section of the book includes two Semester Papers that give students a chance to test their knowledge quotient based on what they've learned so far. We hope this book turns out to be a guiding light for the students of Std. VI and helps them to prepare for their examination. The journey to create a complete book is strewn with triumphs, failures and near misses. If you think we’ve nearly missed something or want to applaud us for our triumphs, we’d love to hear from you. Please write to us at : mail@targetpublications.org A book affects eternity; one can never tell where its influence stops.

Best of luck to all the aspirants! From, Publisher Edition: Second

Disclaimer This reference book is transformative work based on textual contents published by Bureau of Textbook. We the publishers are making this reference book which constitutes as fair use of textual contents which are transformed by adding and elaborating, with a view to simplify the same to enable the students to understand, memorize and reproduce the same in examinations. This work is purely inspired upon the course work as prescribed by the Maharashtra State Board of Secondary and Higher Secondary Education, Pune. Every care has been taken in the publication of this reference book by the Authors while creating the contents. The Authors and the Publishers shall not be responsible for any loss or damages caused to any person on account of errors or omissions which might have crept in or disagreement of any third party on the point of view expressed in the reference book. © reserved with the Publisher for all the contents created by our Authors. No copyright is claimed in the textual contents which are presented as part of fair dealing with a view to provide best supplementary study material for the benefit of students.

Contents

No. Topic Name Page No. Part One

1 Basic Concepts in Geometry 1 2 Angles 6 3 Integers 12 4 Operations on Fractions 18 Unit Test 1 27

5 Decimal Fractions 29 6 Bar Graphs 37 7 Symmetry 46 8 Divisibility 50 9 HCF − LCM 53 Unit Test 2 60 First Semester 63

No. Topic Name Page No. Part Two

10 Equations 65 11 Ratio − Proportion 70 12 Percentage 76 13 Profit − Loss 80 14 Banks and Simple Interest 88

Unit Test 3 92 15 Triangles and their Properties 94 16 Quadrilaterals 98 17 Geometrical Constructions 104 18 Three Dimensional Shapes 110

Unit Test 4 114 Second Semester 117

Note: Textual Questions are represented by * mark.

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Chapter 1: Basic Concepts in Geometry

Sr. No. Basic concepts Diagram

1. Point: A point is an exact position or a particular location on a plane surface represented by a dot. Points are named by using capital letters.

2.

Line: A line means a straight line which can be extended on both its ends without any limits. Arrow heads are used to show the extended line. A line is named by using small letters like l, m, n etc. or by using two capital letters. Line l or line RS is a line.

3. Line Segment: A line segment is a part of a line whose ends are fixed. The endpoints are named by using capital letters. seg AP is the same as seg PA.

4.

Ray: A ray is a part of a line whose one end is fixed while the other is not. The starting point of the ray is called origin and is shown by a point. The other end of the ray is shown by an arrow head. The ray shown in adjacent figure is named as ‘ray RS’.

5. Concurrent Lines: More than two lines passing through a same point are called concurrent lines. Lines AB, EF, MN and HG are concurrent.

6. Point of Concurrence: The common point through which concurrent lines pass is called point of concurrence. Point P is the point of concurrence in the adjacent figure.

7. Collinear Points: Three or more points which lie on the same straight line are called collinear points. In the adjacent figure, points A, C, D and B are collinear.

8. Non-collinear Points: Points which do not lie on the same line are called non-collinear points. In the adjacent figure, points P, Q, R, S and T are non-collinear.

9. Plane: A flat surface which is a part of an infinite surface is called a plane. Arrows are used to indicate that the plane extends infinitely in all directions. The arrows, however, for convenience are not always used.

10.

Parallel Lines: Lines which lie in the same plane and do not intersect each other are called parallel lines. In the adjacent figure, lines l and m are parallel to one another.

Summative Assessment

R S

A P

R

S l R

S

l m

P

Let’s Understand

M N

Q

P

N

H

B

F M G

A

E

A C D B

S

Q P

R

T

1. Basic Concepts in Geometry

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Std. VI: Mathematics Workbook

2

Observe the figure alongside and name the following:

i. Lines: ----------------------------------------------------------------------

ii. Line segments: ------------------------------------------------------------

---------------------------------------------------------------------------------------

iii. Rays: ------------------------------------------------------------------------------------------------

------------------------------------------------------------------------------------------------------------- iv. Collinear points: ------------------------------------------------------------------------------------

v. Non-collinear points: -------------------------------------------------------------------------------- There are 9 points in the figure. Name them and answer the

following. (Textbook pg. no. 3) i. If you choose any two points, how many lines can pass

through the pair?

Ans: ------------------------------------------------------------------ ii. Which three or more of these nine points lie on a straight line?

Ans: ------------------------------------------------------------------------------------------------------- iii. Of these nine points, name any three or more points which do not lie on the same line.

Ans: ------------------------------------------------------------------------------------------------------- Write the proper term, ‘intersecting lines’ or ‘parallel lines’ below each of the following: *i. ii. iii.

Ans: Observe the given figure and name the following: i. Different names of line BC: -------------------------

-------------------------------------------------------------- ii. Parallel lines: ---------------------------------------------------------------------------------------- iii. Concurrent lines: ------------------------------------------------------------------------------------ iv. Points of concurrence: -----------------------------------------------------------------------------

P

T

S R

A O

B

Q

Let’s Practise : Exercise 1.1

1

3

4

2

---------------------------- ---------------------------- ----------------------------

A C

p q r m

B E n

u

D

s t

•

•

•

•

• •

• •

•

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Chapter 1: Basic Concepts in Geometry 1. Tell the names of the geometric figures shown below: i. ii. iii. 2. Which of the following are examples of collinear points? i. Petals of periwinkle. ii. Buttons on button placket of a shirt. iii. Numbers on the face of a clock. iv. Scattered carrom coins. v. Peas inside the pod of green peas. vi. Finger holes of a flute. 3. Which of the following are examples of a plane? i. Black board ii. Sharpened pencil iii. Chess board iv. Chair Complete the rangoli and answer the following questions: (Textbook pg. no. 1) i. What kind of surface do you need for making a

rangoli?

Ans: --------------------------------------------------------

-------------------------------------------------------------- ii. How do you start making a rangoli?

Ans: --------------------------------------------------------

-------------------------------------------------------------- iii. What did you do in order to complete the rangoli?

Ans: --------------------------------------------------------

------------------------------------------------------------------------------------------------------------- iv. Name the different shapes you see in the rangoli.

Ans: ------------------------------------------------------------------------------------------------------- v. Would it be possible to make a rangoli on a scooter or on an elephant’s back?

Ans: ------------------------------------------------------------------------------------------------------- vi. When making a rangoli on paper, what do you use to make the dots?

Ans: -------------------------------------------------------------------------------------------------------

Oral Test

Formative Assessment

Apply your Knowledge

O A P Q X

1

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Std. VI: Mathematics Workbook

4

Draw a point on the blackboard. Draw lines that pass through that point. How many such lines can be drawn? (Textbook pg. no. 2)

Ans: ---------------------------------------------------------------------------------------- Draw a point on a paper and use your ruler to draw lines that pass

through it. How many such lines can you draw? (Textbook pg. no. 2)

Ans: ------------------------------------------------------------------------------------------------------------- Observe the picture of the game being played.

Identify the collinear players, non-collinear players, parallel lines and the plane. (Textbook pg. no. 4)

Ans:

i. Collinear Players

ii. Non-collinear Players

iii. Parallel Lines

iv. Plane Maths is fun! (Textbook pg. no. 5) Take a flat piece of thermocol or cardboard, a needle and thread. Tie a

big knot or button or bead at one end of the thread. Thread the needle with the other end. Pass the needle up through any convenient point P. Pull the thread up, leaving the knot or the button below. Remove the needle and put it aside. Now hold the free end of the thread and gently pull it straight. Which figure do you see? Now, holding the thread straight, turn it in different directions. See how a countless number of lines can pass through a single point P.

In January, we can see the constellation of Orion in the

eastern sky after seven in the evening. Then it moves up slowly in the sky. Can you see the three collinear stars in this constellation? Do you also see a bright star on the same line some distance away? (Textbook pg. no. 4)

Project

2

3

4

1

2

• P

•

•

• • •

•

•

•

P

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Chapter 1: Basic Concepts in Geometry

Observe the figures given below. Identify which ones are the examples of parallel lines and which ones are the examples of concurrent lines from them.

i. ii. iii.

Ans:

iv. v. vi.

Ans:

Grades: A - Excellent Teacher’s Remark:------------------------------------------------------------

B - Good -----------------------------------------------------------------------------------

C - Fair Date:-------------------- Sign:--------------------------

1

Degree markings on a Protractor Cut section of a lime Racing tracks

---------------------------- ---------------------------- ----------------------------

Spokes of Ashoka Chakra Bars of Xylophone Spokes of a giant wheel

---------------------------- ---------------------------- ----------------------------

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