by classklapTM MATHEMATICS WORKBOOK - PART 2 Enhanced Edition 4
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 andlanioitanN eht fo tigrips eht ot lufhtiaf eb ot sruovRaeemdenme sbeeirreins gtimamnduSUenhdTerstanding derevoc tnetnoc eht htiw noitcnujnoc ni 5002 )FCN( krowemarF mulucirruC .skoobtxet draob etats arthsarahaMPreovhitdneisdoeptppoortduanithiecsafoorrppraactdisninag the of 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 WorkbokFeaturesProjectWork secneirepxe yadyreve rieht ot scitamehtaM etaler OTS) noitseuq hcae evlos ot dettoHllaigehcearpOs redteairrpThoirnpkpiAngSkills (HOTS) and neeb evah gnitirw rof ecaps eriuqeExrtteanhdtsstnhoeitcsoenucqekpot otobmtxoertellAadvanced and a 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 Projects that test the learnings developed through real-life scenarios
TABLE OF CONTENTS Chapter Page No. 9. Word Problems: Addition and Subtraction 1 10. Fractions 22 11. Measurement 32 12. Perimeter and Area 41 13. Multiplication: Part 2 52 14. Division: Part 2 65 15. Pictographs 77 16. Patterns 86
IntroducintGeom9tricalFgues Chapter 9: Word Problems: Addition and Subtraction 1) Word Problems on Addition (Textbook, Pg. 47) 2) Word Problems on Subtraction (Textbook, Pg. 48) 3) Addition and Subtraction: Mixed Problems (Textbook, Pg. 49) 4) Making Problems Based on Given Information and Solving Them (Textbook, Pg. 50) 9.1:Word Problems: Addition and Subtraction Very Short Answer Questions 1) Baburao planted 143 sweet lime trees and 156 chikoo trees in his orchard. 1 How many trees did he plant in all? (Textbook, Pg. 47) Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. Powered by Word Problems: Addition and Subtraction
…………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 2) Priyanka bought books worth ` 245 and notebooks worth ` 178. How much did she spend altogether? (Textbook, Pg. 47) Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 3) There are 1,230 story-books and 150 poetry books in a library. How many books are there in the library altogether? (Textbook, Pg. 47) 2 Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….……………………………………………………………………………………….
IntroducintGeomtricalFgues …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 4) If 1,310 children, 1,505 women and 790 men came to watch the circus, how many people came to watch the circus altogether? (Textbook, Pg. 47) Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 5) Ajay deposited ` 18,000 in one bank and ` 15,000 in another. What is the total amount of money he deposited in the banks? (Textbook, Pg. 47) Solution: …………………………………………………………………………………………. 3 …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. Powered by Word Problems: Addition and Subtraction
…………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 6) Abdul had 720 beads. He sold 648 of them. How many beads does he have left? (Textbook, Pg. 48) Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 7) Joseph bought tables worth ` 6,350 and chairs worth ` 3,800. How much more did the tables cost than the chairs? (Textbook, Pg. 48) Solution: …………………………………………………………………………………………. 4 …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….……………………………………………………………………………………….
IntroducintGeomtricalFgues …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 8) Raghavrao bought seeds worth ` 3,587 and fertilizers worth ` 4,655. How much more than the seeds did the fertilizers cost? (Textbook, Pg. 48) Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 9) The reading of the electricity meter in Nisha's house was 03452 on the 1st of June. On the 1st of July, it was 03531. How many units of electricity were used in June? (Textbook, Pg. 48) Solution: …………………………………………………………………………………………. 5 …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. Powered by Word Problems: Addition and Subtraction
…………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 10) In a census taken in 2001, the population of a village was 62,947. The census of the year 2011 listed the population as 74,405. How much did the population increase in the meantime? (Textbook, Pg. 48) Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. Short Answer Questions 11) Raj, Sneha and Sanjay have 10560, 23665 and 42145 marbles respectively. How many marbles do Raj and Sneha have together? How many more marbles does Sanjay have than what Raj and Sneha have together? 6 Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….……………………………………………………………………………………….
IntroducintGeomtricalFgues …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 12) Rambhau had ` 15,000. He bought fodder worth ` 8,570 and the other animal feed worth ` 4,950. How much money did he have left? (Textbook, Pg. 49) Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. 7 …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. Powered by Word Problems: Addition and Subtraction
…………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 13) Lalitaben donated ` 75,000 to a hospital. ` 47,500 were used for equipment and ` 18,240 were used for medicines. How much money still remains? (Textbook, Pg. 49) Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 8 …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….……………………………………………………………………………………….
IntroducintGeomtricalFgues …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 14) The seating capacity of a playground is 20,750. If there were 8,500 women and 11,200 men present for a function, how many seats remained vacant? (Textbook, Pg. 49) Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 9 …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. Powered by Word Problems: Addition and Subtraction
…………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 15) In a nursery, there were 32,140 saplings. 12,789 were mango saplings and 10,423 were teak saplings. How many other saplings were there? (Textbook, Pg. 49) Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 10 …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….……………………………………………………………………………………….
IntroducintGeomtricalFgues …………….………………………………………………………………………………………. 16) Rohan spent ` 27,658 for purchasing computers and ` 16,478 on a printer and scanner. Packing and transporting the goods cost extra. Rohan spent a total of ` 47,000. How much did he spend on packing and transport? (Textbook, Pg. 49) Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 11 …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. Powered by Word Problems: Addition and Subtraction
…………….………………………………………………………………………………………. …………….………………………………………………………………………………………. Long Answer Questions 17) The population of a town is 92,445. Out of these 43,565 are men, 44,340 are women and the rest are children. How many are children? What is the population of children and women? Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 12 …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….……………………………………………………………………………………….
IntroducintGeomtricalFgues …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. Short Answer Questions Based on the information, make one addition and one subtraction problem. 18) Cost of one company's washing machine: ` 19,999; cost of another company's washing machine: ` 21,550. (Textbook, Pg. 50) Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 13 …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 19) ` 3,900 worth of fodder and ` 2,570 worth of other animal feed. (Textbook, Pg. 50) Powered by Word Problems: Addition and Subtraction
Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 20) The population of one town, 76,560; the population of another town, 57,940. (Textbook, Pg. 50) Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 21) The flight ticket from Mumbai to Tokyo, ` 35,840; the flight ticket from Tokyo to Los Angeles, ` 38,760. (Textbook, Pg. 50) 14 Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….……………………………………………………………………………………….
IntroducintGeomtricalFgues …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. Long Answer Questions Based on the information, make one addition and one subtraction problem each and solve the problems. 22) Cost of a new motorcycle, ` 46,530; cost of an old motorcycle, ` 8,500. (Textbook, Pg. 50) Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. ………………………………................................................................................................ ………………………………................................................................................................ ………………………………................................................................................................ ………………………………................................................................................................ 15 …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. Powered by Word Problems: Addition and Subtraction
…………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. ………………………………................................................................................................ ………………………………................................................................................................ ………………………………................................................................................................ ………………………………................................................................................................ 23) 17,500 maths books; 13,250 science books. (Textbook, Pg. 50) Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. ………………………………................................................................................................ ………………………………................................................................................................ ………………………………................................................................................................ ………………………………................................................................................................ 16 ………………………………................................................................................................ ………………………………................................................................................................ …………….………………………………………………………………………………………. …………….……………………………………………………………………………………….
IntroducintGeomtricalFgues …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. ………………………………................................................................................................ 24) The bus from Kolhapur to Mumbai passes through Pune. The distance from Pune to Mumbai is 192 kilometres. The distance from Pune to Kolhapur is 235 kilometres. (Textbook, Pg. 50) Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. ………………………………................................................................................................ ………………………………................................................................................................ ………………………………................................................................................................ ………………………………................................................................................................ 17 …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. Powered by Word Problems: Addition and Subtraction
…………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 25) The capacity of one water tank is 38,500 litres; the capacity of another water tank is 22,750 litres. (Textbook, Pg. 50) Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. ………………………………................................................................................................ ………………………………................................................................................................ ………………………………................................................................................................ ………………………………................................................................................................ ………………………………................................................................................................ ………………………………................................................................................................ 18 …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….……………………………………………………………………………………….
IntroducintGeomtricalFgues …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. ………………………………................................................................................................ ………………………………................................................................................................ ………………………………................................................................................................ ………………………………................................................................................................ Short Answer Question 26) A bookseller had 19,455 books in his storehouse. He sold 13,565 books in one month. How many books are there in his storehouse now? Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 19 …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. Powered by Word Problems: Addition and Subtraction
Long Answer Question 27) Hema bought an old car for ` 25,565. She spent ` 30,650 in its repair. She then sold the car for ` 57,500. How much money did she gain? Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 20 …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….……………………………………………………………………………………….
IntroducintGeomtricalFgues Begin at the top by subtracting the two numbers that are connected by arrows. 7763 4813 2982 852 113 Check the electricity bills of the last three months and add all of them. Find the difference between the maximum amount and the minimum amount. Arrange the name of the months as per the bill amounts in the ascending order. 21 Powered by Word Problems: Addition and Subtraction
10 Chapter 10: Fractions 1) The Meaning of Fractions. Reading and Writing Fractions (Textbook, Pg. 51) 2) Mixed Fractions (Textbook, Pg. 55) 3) Comparing Fractions (Textbook, Pg. 57) 4) Fractions Related to Sets (Textbook, Pg. 58) 10.1: Fractions Very Short Answer Questions Write the numerator and denominator of the following fractions: 22 (Textbook, Pg. 55) 1) 3 : ………………………………………………………………………………..… 7 2) 181: …………………………………………………………………………………..
3) 4 : ……………………………………………………………………………… IntroducintGeomtricalFgues 5 4) 7 : ……………………………………………………………………………… 13 5) 2 : ……………………………………………………………………………… 9 6) 5 : ……………………………………………………………………………… 8 7) Write the fraction of the shaded parts of the shape. [ ] 8) Write the fraction of the shaded parts of the shape. [ ] 9) Write the fraction for five parts out of nine equal parts. [ ] 10) Write the fraction for seven parts out of ninety-one equal parts. [ ] Short Answer Questions 11) Write the fraction 5 in addition and multiplication forms. 7 Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. 23 12) Write the fraction 3 in addition and multiplication forms. 5 Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. Powered by Fractions
13) As the denominator of the fractions with numerator 1 keeps increasing, what happens to the value of the fraction? (Textbook, Pg. 57) Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 14) Which is the smaller fraction, 1 or 1 ? Why? (Textbook, Pg. 57) 6 9 Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 15) You have a fruit. Using that fruit, how will you explain to your friend that 1 < 1 . (Textbook, Pg. 57) 4 2 Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 16) Read the fraction and write them in words. (Textbook, Pg. 56) 24 a) 3 [ ] 4 b) 3 1 [ ] 4 17) Read each of the following and write the fractions. (Textbook, Pg. 56)
a) Four and three quarters []IntroducintGeomtricalFgues b) Ten and a half [] 18) Which is the smaller fraction 2 or 2 ? Why? 79 Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. Long Answer Questions 19) Read the following fractions and write them in words. (Textbook, Pg. 56) a) 111 [ ] 2 b) 5 3 [ ] 4 c) 9 1 [ ] 2 d) 8 1 [ ] 4 20) Read each of the following and write the fractions. (Textbook, Pg. 56) a) Fourteen and three quarters [] b) Seven and one quarter [] c) Eighteen and a half 25 [] d) Nine and one quarter [] e) Seven and a half [] Powered by Fractions
Short Answer Questions 21) Ravi ran 1 of the race and Kavi ran 1 of it. Who ran more distance? 6 4 Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 22) Madhu has two ropes, one measuring 1 m and the other 1 m. Which 15 20 rope is longer? Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 26 …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….……………………………………………………………………………………….
IntroducintGeomtricalFgues 23) Rahul has ` 500. Amit has half the amount. How much money does Amit have? Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 24) Komal ate 1 of a cake on Day 1 and 1 of the cake on Day 2. On which 8 5 day did she eat less cake? Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 25) There are 5 apples, how will you divide it equally among 4 children? Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. 27 …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. Powered by Fractions
26) 9 rotis on a plate have to be divided equally between two children. How many rotis will each child get? Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. Long Answer Questions 27) Rohan has 2 1 pieces of chocolate and Isha has 134 . Show these fractions 4 in the form of pictures and tell who has more piece of chocolate? Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 28 …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….……………………………………………………………………………………….
IntroducintGeomtricalFgues …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 28) Soham has 3 1 pieces of cake and Ram has 2 3 . Show these fractions in 4 4 the form of pictures and tell who has more cake? Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 29 …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. Powered by Fractions
Short Answer Question 29) Circle a portion of the set equal to the given fraction. Fraction Set 1 3 4 5 1 2 Long Answer Question 30) Draw the following fractions in the form of sets. a) 2 of 8 b) 2 of 9 c) 5 of 7 4 3 7 Solution: Fraction Set 30
IntroducintGeomtricalFgues Match the fraction and its figure. FRUIT FRACTION Answer the following questions for this fruity collection. [ ] a) How many pieces of fruits are present? [ ] b) What fraction of the fruits are oranges? [ ] 31 c) What fraction of the fruits are apples? [ ] d) What fraction of the fruits are bananas? [ ] e) What fraction of the fruits are pears? [ ] f) What fraction of the fruits are apples and pears? Fractions Powered by
11 Chapter 11: Measurement 1) Length (Textbook, Pg. 59) 2) Measuring the Length of a Line in Centimetres and Millimetres (Textbook, Pg. 60) 3) Guessing the Distance between Two Poles (Textbook, Pg. 61) 4) Introducing ‘Kilometre’ (Textbook, Pg. 62) 5) Conversion of Units (Textbook, Pg. 64) 6) Mass (Weight) (Textbook, Pg. 65) 7) Volume and Capacity (Textbook, Pg. 67) 8) Measurement: Word Problems (Textbook, Pg. 69) 11.1: Measurement 32 ] Very Short Answer Questions 1) How many millilitres are there in three and three quarter litres? (Textbook, Pg. 68) [
2) Which measure will be used to pour three and a half litres of milk and howIntroducintGeomtricalFgues many times will they be used? (Textbook, Pg. 68) [ ] 3) Convert 7 metres into centimetres. (Textbook, Pg. 64) [ ] 4) Convert 8 kilometres into metres. (Textbook, Pg. 64) [ ] 5) Convert 9 centimetres into millimetres. (Textbook, Pg. 64) [ ] 6) Convert 5 1 metres into centimetres. (Textbook, Pg. 64)[ ] 2 Fill in the blanks: 7) 510 centimetres = _________ m ___________ cm 8) 1850 metres = _________ km ___________ metres 9) 975 centimetres = __________ m ____________ centimetres 10) _________________ weights of 100 grams is 2000 grams. Short Answer Questions [ ] 11) a) How many millilitres are there in one and a half litre? b) How many millilitres are there in one and a quarter litre? [ ] (Textbook, Pg. 68) 12) Write how many times the following measures will have to be used to fill a container having a capacity of 1 litre? Measure 500 ml 250 ml 200 ml How many times 13) a) _____________ weights of 100 grams is 1000 grams. 33 b) _____________ weights of 250 grams is 1000 grams 14) a) How many grams is 3 kilograms? [ ] b) How many grams is one and a half kilograms? [] (Textbook, Pg. 66) Powered by Measurement
15) a) How many grams is three and three quarter kilograms? b) Which weights will the shopkeeper use to measure three and a half kilograms of wheat? (Textbook, Pg. 66) Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 16) Convert: a) 11 kilometres into metres [] b) 4 centimetres into millimetres (Textbook, Pg. 64) [ ] 17) Convert: [] a) 8 metres into centimetres b) 7 kilometres into metres (Textbook, Pg. 64) [ ] 18) Fill in the banks a) 2250 centimetres = __________ m __________ centimetres b) 3270 metres = __________ km ___________ metres c) 1070 metres = __________ km ___________ metres Long Answer Questions 19) Match the following 1) 3 km a) 40 mm b) 700 cm 2) 4 cm c) 3000 m 34 d) 800 cm e) 12000 m 3) 7 m f) 120 mm 4) 12 cm 5) 8 m 6) 12 km
20) Match the following IntroducintGeomtricalFgues 1) 4 metres a) 40 millimetres 2) 5 kilometres b) 200 centimetres 3) 2 metres c) 400 centimetres 4) 4 centimetres d) 5000 metres Short Answer Questions 21) One round of the walking track in the park is 250 metres long. Ajit’s grandfather walks that path 4 times every morning. How many kilometres does he walk every day? (Textbook, Pg. 69) Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 22) Sulbha bought four and a half metres of cloth. She divided it into five equal lengths and gave them to five friends. How much cloth did each friend get? (Textbook, Pg. 69) Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 35 …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. Powered by Measurement
23) If 1 litre of petrol costs ` 70, how much will two and a half litres of petrol cost? (Textbook, Pg. 69) Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 24) Jenny bought a quarter kilogram of barfi, half a kilogram of chivda, a quarter kilogram of shev and three quarter kilograms of jalebi from a shop. What was the total weight of her purchases? (Textbook, Pg. 69) Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 36 25) Washim’s school started at a quarter past twelve in the afternoon and finished at half past five in the evening. If the break was for half an hour, how much time did the children spend in the classroom? (Textbook, Pg. 69)
IntroducintGeomtricalFgues Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 26) Sharad went to his friend’s place on a motorcycle. When he started, the reading was 19,235 kilometres. When he reached his friend’s place, it was 19,301 kilometres. How many kilometres did Sharad travel? (Textbook, Pg. 69) Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. Long Answer Questions 37 27) The timetable below lists the places between Wardha and Nagpur and their distances in kilometres. Study it and answer the following questions. Wardha Varud Selu Road Tuljapur Sindhi Gumgaon Ajani Nagpur 0 7 14 24 32 60 76 79 Powered by Measurement
a) From which place have the distances of all the other places been measured? b) How far is Tuljapur from Wardha? c) What is the distance between Sindhi and Nagpur? d) What is the distance between Selu Road and Ajani? (Textbook, Pg. 63) Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 28) Rishika bought a piece of cloth measuring 85 m in length. She used 42 m 10 cm of the cloth. What is the length of the cloth left with her? Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 38 …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………._
IntroducintGeomtricalFgues Short Answer Question 29) The length of our fingernail is 5 mm. Express it in centimetres and metres. Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. Long Answer Question 30) Soniya’s school is 4 km 206 m away from her house. How much distance in metres does she cover daily to go to the school and come back home? Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 39 …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. Powered by Measurement
…………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 1) Guess the length of the pencil you have. Measure it with a ruler and see if your guess is right. 2) Draw two dots in the space given below and measure the distance between them. 40 Measure how many millilitres there are in one cupful of water. Based on that, guess how many cups will make 1 litre of water. (Textbook, Pg. 69)
IntroducintGeom1trica2lFgues Chapter 12: Perimeter and Area 1) Perimeter ( Textbook, Pg. 70) 2) Area ( Textbook, Pg. 72) 3) Constructing Boxes ( Textbook, Pg. 74) 12.1: Perimeter and Area [] 41 Very Short Answer Questions Find the perimeter of the following figures. [] 1) 5 cm Perimeter and Area 4 cm 4 cm 5 cm 2) 3 cm 6 cm 6 cm 3 cm 3 cm Powered by
6 cm [] 3) 6 cm 6 cm 6 cm 4) [ ] 3 cm 3 cm 3 cm 5) 8 cm [] 3 cm 3 cm 8 cm Find the area of the following figures (all small squares are of 1 sq cm area). (Textbook, Pg. 73) Sr. No. Problem Solution 42 6)
Sr. No. Problem SolutionIntroducintGeomtricalFgues 7) 8) 9) 10) Short Answer Questions 11) The sides of a rectangular field are 150 m, 120 m, 150 m and 120 m. Find the perimeter of the field. (Textbook, Pg. 71) Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 12) The sides of a rectangular field are 15 m, 17 m, 15 m and 17 m. Draw the rectangular field and find its perimeter. 43 Solution: ….………………………………………………………………………………………. …………….………………………………………………………………………………………. ………………………………................................................................................................ Powered by Perimeter and Area
………………………………................................................................................................ …………….………………………………………………………………………………………. ………………………………................................................................................................ …………….………………………………………………………………………………………. 13) The side of a square field is 10 m. Draw the square field and find its perimeter. Solution: ……………………................................................................................................ ………………………………................................................................................................ ………………………………................................................................................................ ………………………………................................................................................................ ………………………………................................................................................................ ………………………………................................................................................................ …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 14) Find the perimeter and area of the given figure (all small squares are of 1 sq cm area). 3 cm 44 3 cm 3 cm 3 cm
IntroducintGeomtricalFgues Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 15) Find the perimeter and area of the given figure (all small squares are of 1 sq cm area). 3 cm 2 cm 2 cm 3 cm Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 16) Find the perimeter and area of the given figure (all small squares are of 1 sq cm area). 1 cm 5 cm 5 cm 45 1 cm Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. Powered by Perimeter and Area
…………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 17) Find the perimeter and area of the given figure (all small squares are of 1 sq cm area). 4 cm 2 cm 2 cm 4 cm Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. …………….………………………………………………………………………………………. 18) Find the perimeter and area of the given figure (all small squares are of 1 sq cm area). 5 cm 2 cm 2 cm 5 cm Solution: …………………………………………………………………………………………. …………….………………………………………………………………………………………. 46 …………….………………………………………………………………………………………. Long Answer Questions 19) Find the perimeter and area of the following figures (all small squares are of 1 sq cm area).
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