202110550-SUMMIT-STUDENT-WORKBOOK-MATHEMATICS-G05-PART2

by classklapTM MATHEMATICS WORKBOOK - PART 2 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 11 26 8. Multiples and Factors 40 9. Decimal Fractions 57 10. Measuring Time 76 11. Problems on Measurement 90 12. Perimeter and Area 107 13. Three Dimensional Objects and Nets 115 14. Pictographs 15. Patterns 16. Preparation for Algebra

8 Chapter 8: Multiples and Factors 1) Factors (Textbook, Pg. 46) 2) Multiples (Textbook, Pg. 46) 3) Tests for Divisibility (Textbook, Pg. 47) 4) Prime and Composite Numbers (Textbook, Pg. 48) 5) Co-prime Numbers (Textbook, Pg. 49) 8.1: Multiples and Factors Solution 1 Very Short Answer Questions Write the factors of the following numbers: Problem 1) 8 (Textbook, Pg. 46) Powered by Multiples and Factors

Problem Solution 2) 14 (Textbook, Pg. 46) 3) 10 (Textbook, Pg. 46) 4) 7 (Textbook, Pg. 46) 5) 22 (Textbook, Pg. 46) 6) 5 (Textbook, Pg. 46) 7) 25 (Textbook, Pg. 46) 8) 32 (Textbook, Pg. 46) 9) 33 (Textbook, Pg. 46) 10) 40 Short Answer Questions 11) Write the first four multiples of 3. Solution: …………………………………………………………………………………………. 12) Write all the prime numbers between 1 and 20. (Textbook, Pg. 49) Solution: …………………………………………………………………………………………. …………………………………………………………………………………………………….. 13) Write all the composite numbers between 21 and 50. (Textbook, Pg. 49) Solution: …………………………………………………………………………………………. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. 2 14) Write five three-digit numbers that are multiples of 2. (Textbook, Pg. 48) Solution: …………………………………………………………………………………………. ……………………………………………………………………………………………………..

…………………………………………………………………………………………………….. …………………………………………………………………………………………………….. 15) Write five three-digit numbers that are multiples of 5. (Textbook, Pg. 48) Solution: …………………………………………………………………………………………. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. 16) Write five three-digit numbers that are multiples of 10. (Textbook, Pg. 48) Solution: …………………………………………………………………………………………. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. 17) Write 5 numbers that are multiples of 2 as well as 3. (Textbook, Pg. 48) Solution: …………………………………………………………………………………………. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. 18) Which of the prime numbers are even numbers? (Textbook, Pg. 49) Solution: …………………………………………………………………………………………. …………………………………………………………………………………………………….. 3 …………………………………………………………………………………………………….. Powered by Multiples and Factors

19) Circle the prime numbers in the list given below. 22, 37, 43, 48, 53, 60, 91, 57, 59, 77, 79, 97, 100 Long Answer Questions 20) Determine whether the pairs of numbers given below are co-prime numbers. a) 22, 24 b) 14, 21 c) 10, 33 d) 11, 30 (Textbook, Pg. 50) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 4 …………………………………………………………………………………………................. 21) Determine whether the pair of numbers given below are co-prime numbers. a) 5, 7 b) 15, 16 c) 50, 52 d) 17, 18 (Textbook, Pg. 50)

Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. Short Answer Questions 22) A ribbon is 3 metres long. Can we cut it into 50 cm pieces and have 5 nothing left over? Write the reason why or why not. (Textbook, Pg. 48) Powered by Multiples and Factors

Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 23) A ribbon is 3 metres long. I need 8 pieces of the ribbon each 40 cm long. How many centimetres shorter is the ribbon than the length I need? (Textbook, Pg. 48) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 24) Jassi has a cupboard with 5 shelves. She wants to set 30 books in total in the cupboard, each shelf with an equal number of books. How many books would she set in each shelf? Solution: ..………………………………………………………………………………………... 6 …………………………………………………………………………………………................. …………………………………………………………………………………………................. ………………………………………………………………………………………….................

…………………………………………………………………………………………................. …………………………………………………………………………………………................. 25) Kanu has a 200 ml measure. Will he be able to measure out 2 litres of milk with it? Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 26) One box can hold 8 soaps. Rohan wants to pack 64 soaps, each box with the same number of soaps. How many boxes are required for packing? Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 27) Arun has 500 grams of chana. He wants to make pouches of 50 grams each. Can he do that without any left over? Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. 7 …………………………………………………………………………………………................. …………………………………………………………………………………………................. Powered by Multiples and Factors

Long Answer Questions 28) Raghu has 1200 ml of juice and glasses of capacity 200 ml. How many glasses can he fill with this juice? Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 29) Manu has 160 sacks of cement. A lorry carries 25 sacks at a time. How many trips will the lorry make? Are there any sacks left? Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 8 …………………………………………………………………………………………................. …………………………………………………………………………………………................. ………………………………………………………………………………………….................

Short Answer Question 30) Write the common factors of 12 and 30. Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. Long Answer Question 31) Neera made 108 candles to sell in the market. She makes packets of 6. How many packets will she make? If she packs them in packets of 12, then how many packets will she make? Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 9 …………………………………………………………………………………………................. …………………………………………………………………………………………................. Powered by Multiples and Factors

 Write numbers from 1 to 60.  Draw a blue circle around the multiples of 2.  Draw a red circle around the multiples of 4.  Do all numbers with a blue circle also have a red circle around them?  Do all numbers with a red circle have a blue circle around them?  Are all multiples of 2 also multiples of 4?  Are all multiples of 4 also multiples of 2? Make a list of all your classmates. Write the number of letters their names have. Draw a circle around the numbers which are multiples of 2 and draw a square around the numbers which are multiples of 3. Cross the numbers which are neither multiples of 2 nor multiples of 3. 10

9 Chapter 9: Decimal Fractions 1) Decimal Fractions (Textbook, Pg. 52) 2) The Decimal Point (Textbook, Pg. 52) 3) Hundredths (Textbook, Pg. 53) 4) Place Value of the Digits in Decimal Fractions (Textbook, Pg. 54) 5) Use of Decimal Fractions (Textbook, Pg. 54) 6) Writing Half, Quarter, Three-quarters and (Textbook, Pg. 55) One and a Quarter in Decimal Form (Textbook, Pg. 56) 7) Adding Decimal Fractions (Textbook, Pg. 58) 8) Subtraction of Decimal Fractions (Textbook, Pg. 58) 11 9) Decimals Used for Measurements Powered by DDeecciimmaall FFrraaccttiioonnss

9.1: Decimal Fractions Very Short Answer Questions (Textbook, Pg. 53) Write the following mixed fractions in decimal form. Solution Problem 1) a) 3190 b) 1140 2) a) 5130 b) 8 10 3) a) 5 10 b) 9110 4) a) 91010 12 b) 415030

Problem Solution 5) a) 78 100 b) 5 100 6) a) 5 10 b) 2 10 c) 20 100 Read the decimal fraction and write down the place value of each digit. (Textbook, Pg. 54) Problem Solution 7) a) 6.13 b) 3.4 8) a) 48.84 b) 0.59 9) 72.05 13 (Textbook, Pg. 55) 10) Write how many rupees and paise. a) ` 58.43 _________________________________ Powered by DDeecciimmaall FFrraaccttiioonnss

b) ` 9.30 _________________________________ c) ` 2.30 _________________________________ d) ` 2.3 _________________________________ Short Answer Questions 11) Write how many rupees in decimal form. (Textbook, Pg. 55) a) 6 rupees 25 paise _________________________________ b) 15 rupees 70 paise _________________________________ c) 8 rupees 5 paise _________________________________ d) 22 rupees 4 paise _________________________________ e) 720 paise _________________________________ 12) Write how many metres and how many centimetres. (Textbook, Pg. 55) a) 58.75 m ________________ b) 9.30 m ________________ c) 0.30 m ________________ d) 0.3 m ________________ 13) Write how many metres and how many centimetres. (Textbook, Pg. 55) a) 1.62 m ________________ b) 91.4 m ________________ c) 7.02 m ________________ d) 0.09 m ________________ 14) Write how many centimetres and how many millimetres. (Textbook, Pg. 55) a) 6.9 cm ________________ b) 20.4 cm ________________ 14 c) 0.8 cm ________________ d) 0.5 cm ________________ 15) Write how many centimetres in decimal form. (Textbook, Pg. 55) a) 7 cm 1 mm ________________ b) 16 mm ________________ c) 144 mm ________________ d) 8 mm ________________

16) Write how many metres in decimal form. (Textbook, Pg. 55) a) 1 m 50 cm ________________ b) 50 m 40 cm ________________ c) 50 m 4 cm ________________ d) 734 cm ________________ e) 10 cm ________________ f) 2 cm ________________ 17) Write the following fractions as decimal fractions. (Textbook, Pg. 56) a) Two and a quarter _________ b) Two and a half __________ c) Two and three quarters _________ d) Ten and a half __________ 18) Write the following fractions as decimal fractions. (Textbook, Pg. 56) a) Fourteen and three quarters __________ b) Sixteen and a quarter __________ c) Twenty-eight and a half __________ Convert the following into decimal fraction and add them. 19) 'One and a half metres' and 'Two and a half metres'. (Textbook, Pg. 57) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 15 …………………………………………………………………………………………................. Powered by DDeecciimmaall FFrraaccttiioonnss

20) 'Four and three quarter rupees' and 'seven and quarter rupees'. (Textbook, Pg. 57) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 21) 'Six and a half metres’ and ‘Three and three quarter metres. (Textbook, Pg. 57) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. Long Answer Questions (Textbook, Pg. 57) 16 22) Add the following: a) 23.4 + 87.9 b) 35.74 + 816.6 c) 6.95 + 74.88 d) 41.03 + 9.98 Solution: ..………………………………………………………………………………………...

…………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 23) Add the following: (Textbook, Pg. 57) a) 51.4 cm + 68.5 cm b) 94.7 m + 1738.45 m c) ` 5158.75 + ` 841.25 Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 17 …………………………………………………………………………………………................. Powered by DDeecciimmaall FFrraaccttiioonnss

…………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. Subtract the following: (Textbook, Pg. 58) 24) a) 25.74 – 13.42 b) 206.35 – 168.22 c) 63.4 – 31.8 d) 63.43 – 31.8 Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 18 …………………………………………………………………………………………................. …………………………………………………………………………………………................. ………………………………………………………………………………………….................

…………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 25) a) 63.4 – 31.83 b) 8.23 – 5.45 c) 18.23 – 9.45 d) 78.03 – 41.65 Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 19 …………………………………………………………………………………………................. …………………………………………………………………………………………................. Powered by DDeecciimmaall FFrraaccttiioonnss

…………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. Short Answer Questions 26) Shyam has 4 fifty paise coins. How many rupees does he have? Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 27) A cloth is 9104 cm long. What will be its length in metres and cm? Solution: ..………………………………………………………………………………………... 20 …………………………………………………………………………………………................. …………………………………………………………………………………………................. ………………………………………………………………………………………….................

28) A pen costs ` 20.45. What is its cost in paise? Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 29) Rohan has 'eight and three quarter rupees' and Radha has 'five and a half rupees'. Write the money in decimal form. Who has more money? Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 30) The weight of a pen is 'seventeen and a quarter grams'. The weight of a pencil is 'thirteen and a half grams'. Write the weights in decimal form. Which item weighs less? Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 21 …………………………………………………………………………………………................. …………………………………………………………………………………………................. Powered by DDeecciimmaall FFrraaccttiioonnss

31) Vrinda was 1.48 m tall. After a year, her height became 1.53 m. By how many centimetres did her height increase in a year? (Textbook, Pg. 58) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. Long Answer Questions 32) Raju purchased vegetables for ` 29.75. He gave a ` 100 note to the shopkeeper. How much money did the shopkeeper return? Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 22 …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. ………………………………………………………………………………………….................

…………………………………………………………………………………………................. 33) Rainfall in the city during July and September were 9.8 cm and 5.2 cm respectively. Find the total rainfall in the two months. Convert the answer to meters. Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. Short Answer Question 34) Suhas walked 14.5 km on Monday and 15.8 km on Tuesday. How much did he walk altogether? If he travelled 46.9 km by bus on Wednesday, find the difference in the distances that he walked and that he travelled by bus. Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. 23 …………………………………………………………………………………………................. …………………………………………………………………………………………................. Powered by DDeecciimmaall FFrraaccttiioonnss

…………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. Long Answer Question 35) A container holds 60.25 litres of water. If 39.7 litres of water is used, then how much water is left? If I add 12.3 litres of water to it, then how much water does the container have? Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. 24 …………………………………………………………………………………………................. …………………………………………………………………………………………................. ………………………………………………………………………………………….................

…………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. Fill in the table. 2 3 14 Fraction 5 20 25 Decimal 0.50 0.90 6.03 25 Find out the weights of your family members and arrange them in the ascending and descending orders. Powered by DDeecciimmaall FFrraaccttiioonnss

10 Chapter 10: Measuring Time 1) Revision (Textbook, Pg. 59) 2) Learning about Seconds (Textbook, Pg. 59) 3) Ante Meridiem and Post Meridiem (Textbook, Pg. 60) 4) The 24 Hour Clock (Textbook, Pg. 60) 10.1: Measuring Time Very Short Answer Questions 1) 1 minute = ______ seconds 26

The 12 hour clock time is given. Write the time for the 24 hour clock. Problem Solution 2) 15 minutes past 8 in the morning 3) 20 minutes past 5 in the evening 4) 20 minutes past 9 in the morning 5) 50 minutes past 7 in the evening 6) 30 minutes past 6 in the evening 7) 10 minutes past 6 in the evening 8) 10 minutes past 6 in the morning Add the following: (Textbook, Pg. 63) 9) 3 hours 45 minutes + 1 hour 35 minutes Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 10) 4 hours 15 minutes + 2 hours 50 minutes (Textbook, Pg. 63) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. 27 …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. Powered by Measuring Time

Short Answer Questions (Textbook, Pg. 63) Subtract the following: 11) 3 hours 10 minutes – 2 hours 40 minutes Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 12) 5 hours 20 minutes – 2 hours 35 minutes (Textbook, Pg. 63) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 13) Add the following: (Textbook, Pg. 63) a) 2 hours 30 minutes + 4 hours 55 minutes b) 3 hours 50 minutes + 4 hours 20 minutes Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. 28 …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. ………………………………………………………………………………………….................

…………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 14) The time is given by the 12 hour clock. Write the same by the 24 hour clock. a) 25 minutes past 10 in the morning ________________________________ b) 20 minutes past 2 in the afternoon ________________________________ Subtract the following: (Textbook Pg. 63) 15) 4 hours 25 minutes – 1 hour 55 minutes Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 16) 6 hours 15 minutes – 2 hours 45 minutes (Textbook Pg. 63) Solution: ..………………………………………………………………………………………... 29 …………………………………………………………………………………………................. …………………………………………………………………………………………................. Powered by Measuring Time

…………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 17) Complete the table given: 12 hour clock 10:00 p.m. 4:45 a.m. 24 hour clock 20:45h 18) Write the correct time in words for the following times. Time by 24 hour clock Time in words 0510h 2015h 2121h 19) Time by the 12 hour clock is given. Determine whether it is morning, afternoon, evening or night. Time by 12 hour clock Morning /afternoon /evening /night 3:00 p.m. 11:00 p.m. 8:30 a.m. Long Answer Questions 20) Find the correct 24 hour clock time for the following 12 hour clock times. 30 12 hour clock 9:10 a.m. 2:10 p.m. 4:45 a.m. 5:25 p.m. 11:10 p.m. 7:25 a.m. 24 hour clock

21) Write the time shown by clocks below in hours, minutes and seconds. Time by the clock Time in words Short Answer Questions 22) If a bus that leaves Nashik at 5 o’clock in the morning reaches Pune that same day at ten thirty in the morning, how long does the journey take? (Textbook, Pg. 59) 31 Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. Powered by Measuring Time

…………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 23) A play that was to start at nine fifteen at night was delayed by half an hour because of a power outage. What time did the play start? (Textbook, Pg. 59) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 24) A government office opens at 7 in the morning and closes at 3 in the afternoon. How long is this office open? (Textbook, Pg. 63) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 32 …………………………………………………………………………………………................. …………………………………………………………………………………………................. ………………………………………………………………………………………….................

25) A movie starts at 45 minutes past 3 in the afternoon and finishes two and a half hours later. At what time does the movie end? (Textbook, Pg. 63) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 26) Rambhau started the water pump at ten thirty at night and put it off the same night at a quarter to twelve. How long was the water pump on? (Textbook, Pg. 63) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 33 …………………………………………………………………………………………................. …………………………………………………………………………………………................. Powered by Measuring Time

27) Geeta taught the class for 2 hours and 25 minutes in the morning and 1 hour and 45 minutes in the afternoon. How long was she teaching in all? (Textbook, Pg. 63) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 28) If the Maharashtra Express leaving from Kolhapur at 15:30 arrives at Gondia the next day at 20:15, how long is the journey from Kolhapur to Gondia? (Textbook, Pg. 63) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 34 …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. ………………………………………………………………………………………….................

29) If a shop is open from 9:30 a.m. to 10 p.m., how long is it open? (Textbook, Pg. 63) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 30) If a bank is open for business from 10 in the morning to 4:30 in the evening, how long is it open? (Textbook, Pg. 63) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 35 …………………………………………………………………………………………................. Powered by Measuring Time

Long Answer Questions 31) Sakharam was ploughing the field from 8 in the morning. At 12:30 in the afternoon he stopped and started for home. He reached home at 1:30. How long was he ploughing the field? How long did it take him to reach home from the field? (Textbook, Pg. 63) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 32) If a train leaves Mumbai at ten fifteen at night and reaches Nagpur at one 36 forty the next afternoon, how long does the journey take? (Textbook, Pg. 59) Solution: ..………………………………………………………………………………………... ………………………………………………………………………………………….................

…………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. Short Answer Question 33) Roopa travels for 3 hours on one day while her sister travels for 3840 seconds. Who travels for a longer duration? Solution: ……………………………………………………………………………................... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 37 …………………………………………………………………………………………................. …………………………………………………………………………………………................. Powered by Measuring Time

Long Answer Question 34) Mr Kapoor works in his garden every day for 1 hour 30 minutes. Mr Patel does the same for 50 minutes. How much more time does Mr Kapoor spend looking after his garden? Calculate the time in seconds. Solution: ……………………………………………………………………………................... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 38

Joint the dots in order of time of the day from morning to night and colour the picture. Collect information and pictures of different types of clocks and watches. 39 Powered by Measuring Time

11 Chapter 11: Problems on Measurement 1) Addition, Subtraction, Multiplication and (Textbook, Pg. 64) Division by Using Units of Measurements (Textbook, Pg. 64) 2) Word Problems 11.1: Problems on Measurement Very Short Answer Questions 1) How many centimetres is equal to 1 metre? [ ] ] 2) Which is the standard unit for measuring weight? [ ] ] 40 3) How many grams are there in 1 kilogram? [ 4) Add 2 and 5. [ 5) Name a few units that are commonly used to measure length.

Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. 6) How many metres is equal to 1 kilometre? [ ] 7) Convert 15 litres into millilitres. [ ] 8) Add 9 kg and 1000 grams. Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. 9) How many rupees do 100 paise make? [ ] 10) Add: 500 m + 500 m [] Short Answer Questions Add the following: (Textbook, Pg. 64) 11) ` 9, 50 paise + ` 14, 60 paise 12) 6 cm 5 mm + 7 cm 9 mm Solution: Solution: 13) 22 m 50 cm + 25 m 75 cm 14) 15 km 740 m + 13 km + 950 m Solution: Solution: 41 Powered by Problems on Measurement

Subtract the following: (Textbook, Pg. 64) 15) ` 19, 50 paise – ` 12, 60 paise 16) 24 cm 2 mm – 3 cm 8 mm Solution: Solution: 17) 20 m 30 cm – 17 m 60 cm 18) 40 km 255 m – 17 km 960 m Solution: Solution: Long Answer Questions 19) Add: (Textbook, Pg. 64) a) 25 kg 650 g + 29 kg 770 g b) 19  840 m + 25  250 m Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. 42 …………………………………………………………………………………………................. …………………………………………………………………………………………................. ………………………………………………………………………………………….................

…………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 20) Subtract: (Textbook, Pg. 64) a) 35 kg 150 g – 26 kg 470 g b) 46  200 m – 38  750 m Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 43 Powered by Problems on Measurement

Short Answer Questions 21) For his birthday, Ajay gave 20  450 m of milk to the children in an Ashramshala and 28  800 m to the children in the orphanage. How much milk did Ajay donate? Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 22) Under the Rural Cleanliness Mission, college students cleaned 1 km 750 m of a village road that is 2 km 575 m long. How much remained to be cleaned? (Textbook, Pg. 66) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. 44 …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. ………………………………………………………………………………………….................

…………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 23) Babhulgaon used 21,250 litres of treated waste water in the fields. Samvatsar used 31,350 litres of similar water. How much treated waste water was used in all? (Textbook, Pg. 66) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 24) If half a litre of milk costs ` 22, how much will 7 litres cost? (Textbook, Pg. 66) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. 45 …………………………………………………………………………………………................. Powered by Problems on Measurement

…………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 25) If the speed of a motorcycle is 40 km per hour, how far will it travel in an hour and a quarter? (Textbook, Pg. 66) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 26) If a man walks at a speed of 4 kmph, how long will it take him to walk 3 km? (Textbook, Pg. 66) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 46 …………………………………………………………………………………………................. …………………………………………………………………………………………................. 27) If a rickshaw travels at a speed of 30 kmph, how far will it travel in three quarters of an hour? (Textbook, Pg. 66)