202110549-SUMMIT-STUDENT-WORKBOOK-MATHEMATICS-G05-PART1

by classklapTM MATHEMATICS WORKBOOK - PART 1 Enhanced Edition 5

Preface IMAX partners with schools, supporting them with learning materials and processes that are all crafted to work together as an interconnected system to drive learning. IMAX presents the latest version of the Summit series – specially crafted as an accompanying workbook series for the Maharashtra state board textbooks. The Summit series endeavours to be faithful to the spirit of the National Curriculum Framework (NCF) 2005 in conjunction with the content covered and approach adopted in the Maharashtra state board textbooks. The aim of the NCF 2005 regarding Mathematics teaching is to develop the abilities of a student to think and reason mathematically, pursue assumptions to their logical conclusion and handle abstraction. Below are some salient features of the Summit Maths workbooks series:  Student engagement through simple, age-appropriate language  Word problems based on real-life scenarios, which help students to relate Mathematics to their everyday experiences  Appropriate space allotted to solve each question  All textbook questions that require space for writing have been included Overall, the IMAX Summit series aims to enhance logical reasoning and critical thinking skills that are at the heart of Mathematics teaching and learning. – The Authors

Workbook Features ecaferP dna slIaWireiltlaLmeagrnninrael htiw meht gnitroppus ,sloohcs htiw srentrap XAMI marethiAtnssylati–shsrtesadoehecfirahtcecaMosepntnectimenehrompt ctrusoreStfhtseanehtiirtnwefaisoll ksbnaoeoorciesborhekvtrveoertwgesoedgttankilryoenwhatposmttndoeecstecfaraprcnXaAllaMsaeI r.dagenttaifnahrartceseyl sellsaveiiccrdeoporpst .skoobtxet draob etats lanoitaN eht fo tirips eht ot lufhtiaf eb ot sruovRaeemdenme sbeeirreins gtimamnduSUenhdTerstanding derevoc tnetnoc eht htiw noitcnujnoc ni 5002 )FCN( krowemarF mulucirruC .skoobtxet draob etats arthsarahaMPreovhitdneisdoeptppoortduanithiecsafoorrppraactdisninag the eht poleved ot si gnihcaet scitamehtaM gnbtihdaersaiccgoeenlrec5me0pe0tn2tsFCinvNoelvhetdfoin mthiealeeahrTning of snoitpmussa eusrup ,yllacitamehtam nosaer dna kniht ot tneduts a fo seitiliba Application .noitcartsba eldnah dna noisulcnoc lacigol rieht ot :seires skoobkrow shtaM timmuS eht fo serutaef tneilas emos era woleB Applies the understanding of the  ceogncaeupgtntaolqeuteasitrpioonrspreplat-eedgato,erelpalm-lifies hguorht tnemegagne tnedutS scenarios  ot stneduts pleh hcihw ,soiranecs efil-laer no desab smelborp droW secneirepxe yadyreve rieht ot scitamehtaM etaler noitseuq hcae evlos ot dettoHllaigehcearpOs redteairrpThoirnpkpiAngSkills (HOTS) neeb evah gnitirw rof ecaps eriuqeExrtteanhdtsstnhoeitcsoenucqekpot otobmtxoertellAadvanced and challenging questions dtheadt umlceneit the criteria of higher order thinking skills dna gninosaer lacigol ecnahne ot smia seires timmuS XAMI eht ,llarevO dna gAncihticvaiteyt scitamehtaM fo traeh eht ta era taht slliks gnikniht lacitirc .gninrael Activities that test the learnings srohtdueAveelhoTpe–d throughout the chapter Project Work Projects that test the learnings developed through real-life scenarios

TABLE OF Page No. CONTENTS 1 Chapter 9 31 1. Roman Numerals 49 2. Number Work 75 3. Addition and Subtraction 92 4. Multiplication and Division 103 5. Fractions 6. Angles 7. Circles

IntroducintGeo1mtricalFgues Chapter 1: Roman Numerals 1) Rules to Write Numbers in Roman Numerals. (Textbook, Pg. 1) 2) Conversion of Roman Numerals to International Numerals and vice versa (Textbook, Pg. 1) 1.1: Roman Numerals Very Short Answer Questions Write the following numbers using Roman numerals. Sr. Number International Numeral Roman Numerals 1) 20 S 2) 1 3) 7 11 4) 3 Powered by Roman Numerals

Write the following numbers using International numerals. Sr. Number Roman Numerals International Numerals 5) XI 6) II 7) 8) V (Textbook, Pg. 2) 9) VII (Textbook, Pg. 2) 10) XVIII (Textbook, Pg. 2) IX (Textbook, Pg. 2) Short Answer Questions 11) Write the following numbers using International numerals. (Textbook, Pg. 2) a) X b) XIII Solution: ...………………………………………………………………………………………... …………………………………………………………………………………………................... 12) Write the following numbers using International numerals. (Textbook, Pg. 2) a) XIV b) XVI Solution: ...………………………………………………………………………………………... …………………………………………………………………………………………................... 13) Write the numbers using Roman numerals. 2 a) 19 b) 6 Solution: ...………………………………………………………………………………………... …………………………………………………………………………………………...................

14) Write the numbers using Roman numerals. IntroducintGeomtricalFgues a) 14 b) 21 Solution: ...………………………………………………………………………………………... …………………………………………………………………………………………................... 15) In the table below, each given number is written in international numerals and then again in Roman numerals. If it is written correctly, put ‘ ’ in the box under it. If not, put ‘X’ and correct it. International numerals 25 9 Roman numerals IIII V IIX Right / Wrong (If wrong, correct the numeral.) 16) In the table below, each given number is written in international numerals and then again in Roman numerals. If it is written correctly, put ‘ ’ in the box under it. If not, put ‘X’ and correct it. International numerals 13 17 Roman numerals XIII XVI Right / Wrong (If wrong, correct the numeral.) 17) Answer the following: 33 a) How many times can the symbols I and X be repeated consecutively? b) Which Roman numeral cannot be repeated consecutively? Solution: ...………………………………………………………………………………………... …………………………………………………………………………………………................... Powered by Roman Numerals

…………………………………………………………………………………………................... …………………………………………………………………………………………................... 18) Answer the following: a) Which operation is performed when I or V is on the right side of the symbol of a bigger number? b) Which operation is performed when I or V is on the left side of the symbol of a bigger number? Solution: ...………………………………………………………………………………………... …………………………………………………………………………………………................... …………………………………………………………………………………………................... …………………………………………………………………………………………................... …………………………………………………………………………………………................... Long Answer Questions 19) Write all the numbers from 1 to 20 using Roman numerals. (Textbook, Pg. 2) Solution: Number Roman numerals Number Roman numerals 12 34 56 78 49 10 11 12 13 14 15 16

Number Roman numerals Number Roman numeralsIntroducintGeomtricalFgues 17 18 19 20 20) Fill in the empty boxes. Number Twenty Eight Sixteen Roman VII XXII XVIII numerals Short Answer Questions 21) Where do we see Roman numerals in our day-to-day life? Solution: ...………………………………………………………………………………………... 55 …………………………………………………………………………………………................... …………………………………………………………………………………………................... …………………………………………………………………………………………................... 22) The number of pebbles with Shobha can be expressed in Roman numeral as ‘XVI’. Write the international numeral representing the number of pebbles with her. Solution: ...………………………………………………………………………………………... …………………………………………………………………………………………................... …………………………………………………………………………………………................... …………………………………………………………………………………………................... Powered by Roman Numerals

23) In a game, Rahul scores 9 points. Write the Roman numeral representing the points scored by him. Solution: ...………………………………………………………………………………………... …………………………………………………………………………………………................... …………………………………………………………………………………………................... …………………………………………………………………………………………................... 24) Prachi is learning the conversion of Roman numerals to International numerals. She wrote XIIII as the Roman numeral for 14. Is she right? If not, write the correct answer. Solution: ...………………………………………………………………………………………... …………………………………………………………………………………………................... …………………………………………………………………………………………................... …………………………………………………………………………………………................... 25) Ruchi is learning the conversion of Roman numerals to International numerals. She wrote VV as the Roman numeral for 10. Is she right? If not, why? Solution: ...………………………………………………………………………………………... …………………………………………………………………………………………................... …………………………………………………………………………………………................... …………………………………………………………………………………………................... 6 26) Heena’s birthday is on the 19th. Write her birth date using Roman numerals. Solution: ...………………………………………………………………………………………... …………………………………………………………………………………………................... …………………………………………………………………………………………...................

IntroducintGeomtricalFguesLong Answer Questions …………………………………………………………………………………………................... 27) The marks obtained by Anu and Sonu are as shown below using the Roman numerals. Name of student Anu Sonu Marks IX XI Who has got more marks? Solution: ...………………………………………………………………………………………... …………………………………………………………………………………………................... …………………………………………………………………………………………................... …………………………………………………………………………………………................... 28) Arrange the given Roman numerals in ascending order. L, I, V, X, VIII, IV, XI Solution: ...………………………………………………………………………………………... …………………………………………………………………………………………................... …………………………………………………………………………………………................... …………………………………………………………………………………………................... …………………………………………………………………………………………................... …………………………………………………………………………………………................... Short Answer Question 77 29) Subtract MDCL from MDCLVI. Solution: ...………………………………………………………………………………………... Powered by Roman Numerals

…………………………………………………………………………………………................... …………………………………………………………………………………………................... …………………………………………………………………………………………................... Long Answer Question 30) Add MMCLXI to the difference of MCXV and DCVII. Solution: ...………………………………………………………………………………………... …………………………………………………………………………………………................... …………………………………………………………………………………………................... …………………………………………………………………………………………................... …………………………………………………………………………………………................... Roll a die three times. Note down the number obtained each time. Add all the numbers. Write the result using Roman numerals. Write the names of all your family members. Count the number of letters in each name and write the number in the Roman numerals. Sr. No. Name Number of letters Roman numeral 1) 2) 8 3) 4) 5)

IntroducintGeom2tricalFgues Chapter 2: Number Work 2.1: Reading and Writing Six-digit and Seven-digit Numbers 1) Revision (Textbook, Pg. 3) 2) Six-digit Numbers (Textbook, Pg. 4) a) Introducing Six-digit Number (Textbook, Pg. 5) b) Reading Six-digit Numbers c) Writing Six-digit Numbers in Figures 3) Introducing Seven-digit Numbers 9 Powered by Number Work

Very Short Answer Questions Read the numbers and write them in words. Sr. No. Numbers In Words 1) 7,65,234 (Textbook, Pg. 5) 2) 4,73,225 (Textbook, Pg. 5) 3) 6,47,851 (Textbook, Pg. 5) 4) 9,00,999 (Textbook, Pg. 5) 5) 25,79,899 (Textbook, Pg. 6) 6) 30,70,506 (Textbook, Pg. 6) 10 7) 45,71,504 (Textbook, Pg. 6) 8) 21,09,900 (Textbook, Pg. 6)

9) Read the number and write it in figures. (Textbook, Pg. 5)IntroducintGeomtricalFgues Seven lakh forty-nine thousand three hundred and sixty-two Solution: ..………………………………………………………………………………………... 10) Read the number and write it in figures. ‘Eight lakh’ (Textbook, Pg. 5) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. Short Answer Questions Read the numbers and write them in words. Sr. No. Numbers In Words 11) a) 3,27,001 (Textbook, Pg. 5) b) 8,75,375 (Textbook, Pg. 5) 12) a) 1,50,437 (Textbook, Pg. 5) b) 2,03,174 (Textbook, Pg. 5) 11 Powered by Number Work

Sr. No. Numbers In Words 13) a) 5,75,010 (Textbook, Pg. 5) b) 4,03,005 (Textbook, Pg. 5) 14) a) 43,07,854 (Textbook, Pg. 6) b) 50,00,000 (Textbook, Pg. 6) 15) a) 60,00,010 (Textbook, Pg. 6) b) 70,00,100 (Textbook, Pg. 6) 16) Read the numbers and write them in figures. a) One lakh thirty-five thousand eight hundred and fifty-five b) Seven lakh twenty-seven thousand (Textbook, Pg. 5) Solution: ..………………………………………………………………………………………... 12 …………………………………………………………………………………………................. 17) Read the numbers and write them in figures. a) Four lakh twenty-five thousand three hundred b) Nine lakh nine thousand ninety-nine (Textbook, Pg. 5)

IntroducintGeomtricalFgues Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. 18) Make five six-digit numbers, each time using any of the digits 0 to 9 only once. (Textbook, Pg. 5) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. 19) Write the biggest and the smallest five-digit numbers that can be made using the digits 4, 5, 0, 3, 7 only once. (Textbook, Pg. 3) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. Long Answer Questions 20) Using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 write ten each of two-, three-, four- and five-digit numbers. Read the numbers. (Textbook, Pg. 3) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 13 …………………………………………………………………………………………................. …………………………………………………………………………………………................. Powered by Number Work

21) Fill in the empty boxes in the table given below. Devanagari International Numbers written in words numerals numerals a) २,३५८ 2,358 Two thousand, three hundred and fifty-eight b) ३२,७६५ c) 65,859 d) १ ,० ३ ७ Twenty-seven thousand, six hundred and e) ninety-four 22) Read the numbers and write them in words. (Textbook, Pg. 6) a) 80,01,000 b) 90,10,000 c) 91,00,000 d) 99,99,999 Solution: ..……………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 14 Short Answer Questions 23) How many rupees do they make? 20 notes of 1000 rupees, 5 notes of 100 rupees and 14 notes of 10 rupees (Textbook, Pg. 3)

IntroducintGeomtricalFgues Solution: …………………………………………………………………………….................... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 24) How many rupees do they make? 15 notes of 1000 rupees, 12 notes of 100 rupees, 8 notes of 10 rupees and 5 coins of 1 rupee (Textbook, Pg. 3) Solution: ……………………………………………………………………………................... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 25) On cheques, we write the amount in words. How will you write ` 9,50,782 in words on a cheque? 15 Solution: ……………………………………………………………………………................... …………………………………………………………………………………………................. Powered by Number Work

…………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 26) Given below are the deposits made in the Women’s Co-operative Credit Societies of some districts. Read the figures and write them in words. Aurangabad: ` 37, 01,282 Yavatmal: ` 27,72,348 Sindhudurg: ` 58,49,651 Solution: ……………………………………………………………………………................... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 27) Given below are the deposits made in the Women’s Co-operative Credit Societies of some districts. Read the figures and write them in words. Pune: ` 94,29,408 Nashik: ` 61,07,187 Solution: ..……………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 16 28) Given below are the deposits made in the Women’s Co-operative Credit Societies of some districts. Read the figures and write them in words. Nagpur: ` 46,53,570 Ahmednagar: ` 45,43,159 Solution: …..………………………………………………………………………….................

IntroducintGeomtricalFgues …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. Long Answer Questions 29) As a part of the ‘Avoid Plastic Project’, Zilla Parishad schools made and provided paper bags to provision stores and greengrocers. Read the talukawise numbers of the bags and write the numbers in words. Solution: Number (Textbook, Pg. 3) Taluka Number Names Kopargaon 12,740 Shevgaon 28,095 Karjat 31,608 Sangamner 10,972 30) The names of some places and their populations are given below. Use this information to answer the questions that follow. Tala: 40,642 Gaganbawada: 35,777 Bodhwad: 91,256 Moregaon: 87,012 Bhamragad: 35,950 Velhe: 54,497 Ashti: 76,201 Washi: 92,173 Morwada: 85,890 a) Which place has the greatest population? What is its population? 17 b) Which place, Morwada or Moregaon, has the greater population? c) Which place has the smallest population? How much is it? (Textbook, Pg. 3) Powered by Number Work

Solution: ……………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. Short Answer Question 31) The digit in the thousands place of a six-digit number is the same as the number of vowels in the word ‘FAILURE’ and the digit in the hundreds place is the same as the number of consonants in the word ‘FAILURE’. All other digits of the number are 6. Find the six-digit number. Solution: ..……………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 18 …………………………………………………………………………………………................. Long Answer Question 32) The digit in the ten thousand’s place of a five-digit number is equal to the number of consonants in the word ‘ENJOY’ and the digit in the thousand’s place is equal to the number of vowels in the word ‘MEMORY’. The digit in

IntroducintGeomtricalFgues the hundred’s place of the number is two times the digit in the ten’s place. The digit in the ten’s place is two times the digit in the units place. The digit in the unit’s place is equal to the number of alphabets in the word ‘ME’. Find the five-digit number. Solution: ……………..………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. Visit an electronic shop. Note down the prices of different equipment. Write the prices of the equipment in figures as well as in words. 2.2: Comparison of Numbers 1) The Expanded Form of a Number and the Place Value of Digits 19 (Textbook, Pg. 6) 2) Bigger and Smaller Numbers (Textbook, Pg. 8) 3) Introducing Crores (Textbook, Pg. 9) Powered by Number Work

Very Short Answer Questions 33) Write the place value of the underlined digit - 78,95,210 (Textbook, Pg. 7) Solution: ……………..………………………………………………………………................. 34) Write the number in its expanded form - 56,43,215 (Textbook, Pg. 7) Solution: ……………..………………………………………………………………................. 35) Write the number in its expanded form - 70,815 (Textbook, Pg. 7) Solution: ……………..………………………………………………………………................. 36) Write the number in its expanded form - 8,35,999 (Textbook, Pg. 7) Solution: ……………..………………………………………………………………................. 37) The expanded form of the number is given. Write the number. 60,000 + 4000 + 600 + 70 + 9 (Textbook, Pg. 7) Solution: ……………..………………………………………………………………................. 38) The expanded form of a number is given. Write the number. 20,00,000 + 3,00,000 + 60,000 + 9,000 + 500 + 10 + 7 (Textbook, Pg. 7) Solution: ……………..………………………………………………………………................. 39) The expanded form of the number is given. Write the number. 9,00,000 + 20,000 + 7000 + 800 + 5 (Textbook, Pg. 7) Solution: ……………..………………………………………………………………................. 20 40) Write the proper symbol, ‘<’ or ‘>’ in the blank. 22,74,705 ____ 12,74,705 (Textbook Pg.8)

41) Which is the smallest eight-digit number? [IntroducintGeomtricalFgues] 42) Write the number name of the biggest seven-digit number. Solution: ……………..………………………………………………………………................. ………….……………..………………………………………………………………................. Short Answer Questions 43) Write the place value of the underlined digit. (Textbook, Pg. 7) a) 14,95,210 [] b) 3,52,749 [] 44) Write the place value of the underlined digit. (Textbook, Pg. 7) a) 50,000 [] b) 89,99,988 [] 45) Write the numbers in their expanded form. (Textbook, Pg. 7) a) 8,88,889 b) 92,32,992 Solution: ……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. 46) Write the place name and place value of each digit in the given number. 21 82,74,508 (Textbook, Pg. 7) Powered by Number Work

Solution: Place Name Place Value Digit 8 2 7 4 5 0 8 47) The expanded forms of the numbers are given. Write the numbers. a) 80,00,000 + 50,000 + 1000 + 600 + 9 b) 7,00,000 + 80,000 + 4000 + 500 (Textbook, Pg. 7) Solution: ……………..………………………………………………………………................. ………….……………..………………………………………………………………................. 48) Write the proper symbol, ‘<’ or ‘>’in the blank. (Textbook, Pg. 8) a) 35,33,302 _____ 35,32,302 b) 4,80,009 _____ 4,90,008 49) Write the proper symbol, ‘<’ or ‘>’in the blank. (Textbook, Pg. 8) a) 99,999 _____ 9,99,999 b) 35,80,177 ______ 35,88,172 22 50) Write the number name of the number 4,87,96,983. Solution: ……………..………………………………………………………………................. ………….……………..……………………………………………………………….................

IntroducintGeomtricalFguesNumbers Number name Long Answer Questions2,56,09,890 51) Complete the table given below. Four crore nine lakh forty-five thousand nine hundred and seventy-five 34,09,675 Twenty-five lakh ninety-seven thousand nine hundred and eighty-seven 52) Write the place name and place value of each digit in the following numbers. (Textbook, Pg. 7) a) 35,705 b) 7,82,899 Solution: a) Digit Place Name Place Value 23 Powered by Number Work

b) Digit Place Name Place Value Short Answer Questions 53) The Swayamsiddha Savings Group made 3,45,000 papads while the Swabhimani Group made 2,95,000. Which group made more papads? (Textbook, Pg.8) Solution: ……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. 24 ………….……………..………………………………………………………………................. 54) Children of the Primary School in Ahmednagar District collected 2,00,000 seeds while those in Pune District collected 3,25,000. The children of which district collected more seeds? (Textbook, Pg.8)

IntroducintGeomtricalFgues Solution: ……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. 55) The number of people who took part in the Republic Day flag hoisting ceremony was 2,01,306 in Pandharpur taluka and 1,97,208 in Malshiras taluka. In which taluka did a larger number of people participate? (Textbook, Pg. 7) Solution: ……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. 25 ………….……………..………………………………………………………………................. 56) Ishita had ` 70,00,000. Her mother gave her ` 6,00,000 and her father gave her ` 5000. How many rupees does she have altogether? Powered by Number Work

Solution: ……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. 57) The population of Village A is 35,00,824 and the population of Village B is 47,00,864. Which village has less population than the other? Solution: ……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. 58) Salim had ` 6,00,00,000 with him. His father gave him ` 5000. How many rupees does he have altogether? Solution: ……………..………………………………………………………………................. 26 ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..……………………………………………………………….................

Long Answer Questions IntroducintGeomtricalFgues 59) At an exhibition, the Annapoorna Savings Group sold goods worth ` 5,12,345. The Nirman Group sold goods worth ` 4,12,900. This figure was ` 4,33,000 for the Srujan Group and ` 5,11,937 for the Savitribai Phule group. a) Which group had the largest sales? b) Which group had the smallest? c) Write the sales figures in ascending order. (Textbook, Pg. 7) Solution: ……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. 60) The population of some cities is as given in the following table. City P Q R S 27 Population 34,89,087 85,08,256 82,97,467 40,85,865 a) Write the population of each city in words. b) Write the numbers in descending order. Powered by Number Work

Solution: ……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. Short Answer Question 61) If in a certain code, RANGE is coded as 12345 and RANDOM is coded as 28 123678 then what will be the code for the word MANGO? Solution: ……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..……………………………………………………………….................

IntroducintGeomtricalFgues ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. Long Answer Question 62) Complete the table given below. The sum of the numbers in each column should be equal to 1,00,00,000. Column 1 Column 2 Column 3 Column 4 10,00,000 90,00,000 30,00,000 50,00,000 30,00,000 ? 20,00,000 0 60,00,000 5,00,000 50,00,000 ? Solution: ……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. 29 ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. Powered by Number Work

………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. Prepare a table with the name of each player, as shown below. In front of each name, there are boxes to make seven-digit numbers. Name TL L TTH TH H T U The number formed Game 1: The first player throws the dice and writes that number in any one of the boxes in front of his/her name. You can write only one number in each box and once it is written you cannot change its place. The other players do the same till all the boxes are filled and each one gets a seven-digit number. The one with the largest number is the winner. Game 2: The rules are same as for Game 1, but the one with the smallest number is the winner. 30 Make number cards from 1 to 9. Using these number cards make five different six-digit numbers. Arrange them in ascending and descending order.

IntroducintGeom3tricalFgues Chapter 3: Addition and Subtraction 1) Addition of Six-digit and Seven-digit Numbers (Textbook, Pg. 10) 2) Subtraction of Six-digit and Seven-digit Numbers (Textbook, Pg. 12) 3.1: Addition and Subtraction Very Short Answer Questions 2) 56,627 + 10,448 Solve the following: Solution: 1) 60,722 + 23,819 Solution: 31 Powered by Addition and Subtraction

3) 64,429 + 28,007 4) 33,276 + 28,520 Solution: Solution: 5) 74,521 + 15,678 6) 74,293 − 38,547 Solution: Solution: 7) 37,958 − 23,269 8) 71,405 − 58,826 Solution: Solution: 9) 50,032 − 48,874 10) 99,999 − 12,345 Solution: Solution: 32

Short Answer Questions IntroducintGeomtricalFgues Add the following: (Textbook, Pg. 11) 11) 42,311 + 65,36,624 12) 3,17,529 + 8,04,613 Solution: Solution: 13) 12,42,746 + 4,83,748 14) 24,12,636 + 23,19,058 Solution: Solution: 15) 2,654 + 71,209 + 5,03,789 16) 29 + 726 + 51,36,274 Solution: Solution: 33 Powered by Addition and Subtraction

17) 14,02,649 + 524 + 28,13,749 Solution: 18) Subtract: 8,57,513 − 4,82,256 (Textbook, Pg. 13) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 19) Subtract: 13,17,519 – 10,07,423 (Textbook, Pg. 13) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. 34 …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. ………………………………………………………………………………………….................

20) Subtract: 68,34,501 – 23,57,823 IntroducintGeomtricalFgues(Textbook, Pg. 13) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. Long Answer Questions 21) Solve the following: a) Add: 23,45,678 + 9,87,654 (Textbook, Pg. 11) b) Subtract: 45,43,827 – 12,05,938 (Textbook, Pg. 13) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 35 …………………………………………………………………………………………................. …………………………………………………………………………………………................. Powered by Addition and Subtraction

22) Solve the following: a) 22 + 6,047 + 3,84,527 (Textbook, Pg. 11) b) 70,12,345 – 28,64,547 (Textbook, Pg. 13) Solution: …….…………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 23) Solve the following: a) 2,345 + 65,432 + 76,54,369 (Textbook, Pg. 11) b) 38,01,213 – 37,54,648 (Textbook Pg. 13) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. 36 …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. ………………………………………………………………………………………….................

IntroducintGeomtricalFgues …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. Short Answer Questions 24) In a certain election, 13,47,048 women and 14,29,638 men cast their votes. How many votes were polled altogether? (Textbook, Pg. 11) Solution: ..………………………………………………………………………………………... 37 …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. Powered by Addition and Subtraction

25) Prathamesh wants to buy a laptop worth ` 27,450. He has ` 22,975. What is the amount he still needs to be able to buy the laptop? (Textbook, Pg. 13) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 26) What will be the sum of the smallest and the largest six-digit numbers? (Textbook, Pg. 11) Solution: ..………………………………………………………………………………………... 38 …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. ………………………………………………………………………………………….................

IntroducintGeomtricalFgues …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 27) A company produced 44,730 scooters in a certain year and 43,150 in the next. How many more scooters did they produce in the previous year? (Textbook, Pg. 13) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 28) If Surekhatai bought a tractor for ` 8,07,957 and a thresher for ` 32,609, how much money did she spend altogether? (Textbook, Pg. 11) 39 Solution: ..………………………………………………………………………………………... Powered by Addition and Subtraction

…………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 29) In a certain city, the number of men is 16,37,856 and the number of women is 16,52,978. By how many does the number of women exceed the number of men? (Textbook, Pg. 13) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 40 …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. ………………………………………………………………………………………….................

IntroducintGeomtricalFgues …………………………………………………………………………………………................. …………………………………………………………………………………………................. Long Answer Questions 30) Solve the following word problems: a) A textile mill produced 17,24,938 metres of cloth last year and 23,47,056 metres this year. What was the total production for the two years? (Textbook, Pg. 11) b) An organization decided to collect ` 25,00,000 for a certain project. They collected ` 26,57,340 through donations and other kinds of aid. By how much did they exceed their target? (Textbook, Pg. 13) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 41 …………………………………………………………………………………………................. …………………………………………………………………………………………................. Powered by Addition and Subtraction

…………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 31) Solve the following word problems: a) If the Government gave ` 34,62,940 worth of computers and ` 3,26,578 worth of TV sets to the schools, what is the total amount it spent on this equipment? (Textbook, Pg. 11) b) Use the numbers 23,849 and 27,056 to make a subtraction problem. Solve the problem. (Textbook, Pg. 13) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 42 …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. ………………………………………………………………………………………….................

IntroducintGeomtricalFgues …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. Short Answer Question 43 32) The Forest Department planted 23,078 trees of khair, 19,476 of behada besides trees of several other kinds. If the Department planted 50,000 trees altogether, how many trees were neither of khair nor of behada? (Textbook, Pg. 14) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. Powered by Addition and Subtraction

…………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. Long Answer Questions 33) A city has a population of 37,04,926. If this includes 11,24,069 men and 10,96,478 women, what is the number of children in the city? (Textbook, Pg. 14) 44 Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. ………………………………………………………………………………………….................

IntroducintGeomtricalFgues …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 34) The management of a certain factory had ` 25,40,600 in the labour welfare fund. From this fund, ` 12,37,865 were used for medical expenses, ` 8,42,317 were spent on the education of the workers’ children and the 45 remaining was put aside for a canteen. How much money was put aside for the canteen? (Textbook, Pg. 14) Powered by Addition and Subtraction

Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 46 …………………………………………………………………………………………................ 35) For a three-day cricket match, 13,608 tickets were sold on the first day and 8,955 on the second day. If, altogether, 36,563 tickets were sold in three days, how many were sold on the third day? (Textbook, Pg. 14) Solution: ..………………………………………………………………………………………...