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STD. V

MATHEMATICS

WORKBOOK

 

 

 

10620_11370_JUP

Printed at: Repro India Ltd., Mumbai

P.O. No. 45055

© 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.

Based on the 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 

Salient Features

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Our Std. V 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. 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. V 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

Contents

No. Topic Name Page No.

Part One

1 Roman Numerals 1

2 Number Work 5

3 Addition and Subtraction 17

4 Multiplication and Division 28

Unit Test 1 42

5 Fractions 44

6 Angles 63

7 Circles 69

Unit Test 2 76

No. Topic Name Page No.

Part Two 8 Multiples and Factors 78

9 Decimal Fractions 86

10 Measuring Time 97

11 Problems on Measurement 107

12 Perimeter and Area 118

Unit Test 3 129

13 Three Dimensional Objects and Nets 131

14 Pictographs 137

15 Patterns 143

16 Preparation for Algebra 148

Unit Test 4 153

First Semester 155

Second Semester 157 Note: Textual Questions are represented by * mark.

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Chapter 1: Roman Numerals

1. Roman Numerals

Summative Assessment

1. Symbols used for writing Roman numerals:

Symbol used as Roman numeral I V X

Numeric value represented by it 1 5 10 Note: (1) There is no symbol for zero in Roman numerals. (2) The value of a symbol used for Roman numeral does not change with its place. 2. Rules for writing Roman numerals from 1 to 20:

Sr. No. Rule/Note Examples

(1)

Rule 1: The number formed by writing the symbols I or X consecutively two or three times is the sum of the values of the individual symbols.

(1) II = 1 + 1 = 2 (2) III = 1 + 1 + 1 = 3 (3) XX = 10 + 10 = 20

(2)

Rule 2: The consecutive repetition of symbols I and X is allowed for a maximum of three times in a number. However, the symbol V is never repeated.

(1) III = 3, however IIII 4

(2) XXX = 30, however XXXX 40

(3) VV 10 and VVV 15

(3) Rule 3: When I or V is written on the right side of the symbol of a bigger number, add its value to the bigger number.

(1) VI = 5 + 1 = 6 (2) XII = 10 + 2 = 12 (3) XVI = 10 + 5 + 1 = 16

(4) Rule 4: When I is written on the left of V or X, subtract one from the value of V or X.

(1) IV = 5 1 = 4

(2) IX = 10 1 = 9

(5) Note 1: The symbol I cannot be used more than three times, after a bigger number.

(1) 14 is not written as XIIII. Instead it is written as XIV.

(2) 19 is not written as XVIIII. Instead it is written as XIX.

(6) Note 2: The symbol I cannot be written more than once before V or X.

(1) 3 is not written as IIV. Instead it is written as III.

(2) 8 is not written as IIX. Instead it is written as VIII.

(7)

Note 3: To write any number from 1 to 20 in Roman numeral, it is first distributed into groups of 10, 5 and 1. Then any four of the above rules are applied to it.

(1) 8 = 5 + 1 + 1 + 1 = VIII (2) 12 = 10 + 1 + 1 = XII (3) 16 = 10 + 5 + 1 = XVI (4) 18 = 10 + 5 + 1 + 1 + 1 = XVIII (5) 19 = 10 + 10 – 1 = XIX (6) 20 = 10 + 10 = XX

Let’s Understand

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Std. V: Mathematics Workbook

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Write all the numbers from 1 to 20 using Roman numerals.

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

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--------------------------------------------------------------------------------------------------------------------  Write the following numbers using international numerals.

*(1) V : ------------- (2) VIII : ------------- (3) XX : -------------

(4) XII : ------------- *(5) XIV : ------------- *(6) XVI : -------------

(7) XVII : ------------- (8) XI : ------------- (9) XIX : ------------- Fill in the empty boxes.

Number Four Seven Eighteen

Roman numerals IX XIII Write the numbers using Roman numerals.

*(1) 9 : ----------------------- (2) 3 : ----------------------- *(3) 17 : ----------------------

(4) 13 : ----------------------- *(5) 11 : ----------------------- (6) 15 : ---------------------- In the table below, each given number is written in international numerals and then

again in Roman numerals. If it is written correctly in Roman numerals, put ‘’ in the box under it. If not, put ‘’ and correct it.

International numerals 4 6 8 16 15

Roman numerals IIII VI IIX XVI VVV

Right / Wrong

Corrected Roman numerals

Let’s Practise : Exercise 1.1

*1

*5

2

3

4

Something more

1. Roman numerals greater than 20: The symbols L, C, D and M are used as Roman numerals for bigger numbers as shown below.

Roman numerals I V X L C D M

International numerals 1 5 10 50 100 500 1000

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Chapter 1: Roman Numerals

1. Write the following Roman numerals using international numerals:

(1) XIV (2) XI (3) VIII (4) XVI

2. Is the number 14 written as XIIII?

3. Is the number 7 written as IIIX? If no, then how is it written?

4. How is 0 written using Roman numerals?

Apart from clocks and watches, where else do we see Roman numerals? (Textbook pg. no. 2)

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-------------------------------------------------------------------------------------------------------------------- Observe the clocks shown in the following figures and the time written below each of

them. Tell which of the written times is right and which ones are wrong. (1) (2) (3)

Ans:

Oral Test

Formative Assessment

Apply your Knowledge

2

Forty five minutes past four

Fifty minutespast two

Thirty minutespast two

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1

2. The decimal system of writing numbers:

Roman numerals are difficult to read and write. They also make calculations difficult.

The system of reading and writing numbers using the ten digits 0 to 9 is known as the ‘decimalsystem’. In the decimal system, the value of a digit depends upon its place in the number.

The decimal system of writing numbers was invented by mathematicians of ancient India. It waslater accepted in all parts of the world because it was simple and convenient.

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(4) (5) (6) Ans: In each of the following examples, add one matchstick to correct the equalities involving

Roman numerals: (1) (2) (3) (4)

3

Thirty five minutespast eleven

Fifteen minutespast seven

Fifteen minutes past four

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

B - Good    ----------------------------------------------------------------------------------- C - Fair    Date:-------------------- Sign:-------------------------- 

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