151 • Time • Distance • Capacity • Weight • Perimeter Area and Volume Contents Materials Required : Clock, calendar, paper notes, etc. • To tell the time in A.M and P.M • To solve the problems related to multiplication of time • To multiply and divide the distance having mm an and cm, cm and m, m and km; • To multiply and divide the capacity with ml and l. • To multiply and divide the weight having gm, kg and quintal. • To calculate the area and perimeter of rectangular and square surface • To calculate the volume of cube and cuboid counting the unit cube. Expected Learning Outcomes Upon completion of the unit, students will be able to develop the following competencies: 12 3 6 9 35 MeasureMent 3
152 Let's discuss the following questions in your class. • What are the different units of time? • Discuss their relation. 60 seconds = 1 minute 60 minutes = 1 hour 24 hours = 1 day 7 days = 1 week 30 days = 1 month Example 1 Example 2 Convert 24 minutes 35 seconds into seconds. Solution: 24 mins 35 sec = 24 × 60 sec + 35 sec = 1440 sec + 35 sec = 1475 sec Convert 2 hours 45 minutes 26 seconds into seconds. Solution: 2 hours 45 minutes 26 seconds = 2 × 60 mins + 45 mins + 26 sec = 2 × 60 × 60 sec + 45 × 60 sec + 26 sec = 7200 sec + 2700 sec + 26 sec = 9926 sec I have to multiply minute by 60 to convert it into seconds. 1 hr = 60 mins 2 hrs = 2 × 60 mins = 120 mins 12 months = 1 year 365 days = 1 year 10 years = 1 decade 100 years = 1 century Review Time UNIT 8
153 60 mins = 1 hr 1 min = 1 60 hr 324 mins = 324 60 hr Example 1 Convert 324 minutes into hours and minutes. Solution: 324 minutes = 324 60 hours = 5 hours 24 minutes 60) 324 ( 5 hrs - 300 24 mins Example 2 Convert 8246 seconds into hours, minutes and seconds. Solution: 8246 seconds = 8246 60 minutes Again, 137 minutes = 137 60 hours \ 8246 seconds = 2 hours 17 minutes 26 seconds. Steps: • Convert seconds into minutes and seconds. • Convert minutes into hours and minutes. While converting seconds into minutes • We divide given seconds by 60 • quotient represents minutes and remainder represents second. While converting minutes into hour • Divide given minutes by 60. • Quotient represents hours and the remainder represents minutes. 60) 8246( 137 minutes - 60 224 - 180 446 - 420 26 seconds 60) 137(2 hours - 120 17 minutes Remember ! • A leap year occurs in every four years. • 1 leap year = 366 days.
154 Example 3 Convert 83 months into years and months. Solution: 83 months = 83 12 years \ 83 months = 6 years 11 months 12) 83( 6 years - 72 11 months 1. Convert into seconds: a. 4 mins b. 8 mins 24 sec c. 3 hrs 40 mins 25 sec 2. Convert into minutes: a. 6 hrs b. 7 hrs 25 mins c. 18 hrs 16 mins 3. Convert into months: a. 7 years b. 8 years 6 months c. 9 years 10 months 4. Convert into days: a. 8 months b. 7 weeks c. 3 months 18 days d. 7 weeks 4 days e. 4 years f. 3 years 2 days 5. Convert into minutes and seconds: a. 274 seconds b. 336 seconds c. 450 seconds 6. Convert into hours and minutes: a. 86 minutes b. 144 minutes c. 224 minutes 7. Convert into days and hours: a. 38 hours b. 67 hours c. 132 hours 8. Convert into weeks and days: a. 85 days b. 122 days c. 138 days Exercise 8.1
155 Answers 1. a) 240 sec. b) 504 sec. c) 13225 sec. 2. a) 360 mins b) 445 mins. c) 1096 mins. 3. a) 84 months b) 102 months c) 118 months 4. a) 240 days b) 49 days c) 108 days d) 53 days e) 1460 days f) 1097 days 5. a) 4 mins 34 sec. b) 5 mins 36 sec c) 7 mins 30 sec. 6. a) 1 hrs. 26 mins b) 2 hrs. 24 mins c) 3 hrs. 44 mins. 7. a) 1 day 14 hrs. b) 2 days 19 hrs. c) 5 days, 12 hrs. 8. a) 12 weeks, 1 day b) 17 weeks, 3 days c) 19 weeks, 5 days 9. a) 3 yrs, 6 months b) 10 yrs, 7 months c) 18 yrs, 10 months. 10. a) 1 hrs. 34 mins 20 sec. b) 3 hrs, 24 sec. c) 3 hrs, 27 mins. Time from one midnight to another midnight is called a day. It takes 12 hours to complete one rotation by hour hand. Hour hand makes two complete rotations in a day. \ 1 day = 24 hours • 7 A.M. means 7 o’clock in the morning. • 4 : 30 A.M. means 4 : 30 in the morning. • 5 : 15 P.M. means 5 : 15 in the evening. • 9 : 20 P.M. means 9 : 20 in the evening. • Time from 12 midnight to 12 midday is denoted as A.M. • Time from 12 midday to 12 midnight is denoted as P.M. Remember ! • 12 o’clock in the day time is 12 : 00 noon. • 12 o’clock at night is 12 : 00 midnight. • 12 o’ clock is neither A.M. nor P.M. 9. Convert into years and months: a. 42 months b. 127 months c. 226 months 10. Convert into hours, minutes and seconds: a. 5660 seconds b. 10824 seconds c. 12420 seconds Time in A.M. and P.M.
156 1. Identify whether the given time is in A.M. or in P.M. a. Morning b. Mid-day to mid-night c. Evening d. Mid-night to mid-day 2. Write the following times using A.M. or P.M. a. 8 o’clock in the morning b. 7 : 15 in the evening c. half past 6 in the morning d. 2 : 30 at night e. 4 : 30 in the afternoon f. 9 : 45 in the morning 3. Write the time in am or in p.m. Day Evening a. c. b. d. Exercise 8.2 Morning Morning 4. Write your time table in A.M. and P.M. a. wake up time b. time to take breakfast c. time to go to school d. tiffin time e. time to return home f. time to take dinner g. time to sleep
157 5. What time was it before 2 hours? a. 12 : 00 noon b. 3 : 00 P.M. c. 1 : 00 P.M. d. 6:00 A.M. 6. What time will it be after 3 hours? a. 12 : 00 midnight b. 5 : 00 P.M. c. 10 A.M. d. 11:00 P.M. It is 7 : 00 PM Time in 12 hours Time in 24 hours It is 9 : 00 A.M It is 19 : 00 It is 9 : 00 PM It is 7 o' clock in the evening. It is 9 o' clock in the morning. Answers Consult your teacher. Conversion of time in 12-hours to 24-hours system • In 12 hours system, time is written in A.M and P.M. • In 24 hours system, time is not written in A.M and P.M. • Time before mid day is A.M and time after mid day is P.M. It is 10 o' clock in the morning. It is time before mid day. So, in 12 hours system it is written as 10:00 A.M. In 24 hours system it is written as 10:00. Time in 24-hours System and 12-hours System
158 If the time in 12-hours system is in P. M, add 12 to convert it in 24-hours system. To convert the time of 24 hours system into 12 hours system • If the time is more than 12, subtract 12 from given time and write P.M. • If the time is less than 12, directly write A.M. Conversion of time in 24-hours system to 12-hours system Let's take the time 10'clock in the morning. It is 10:00 in 24 hours system. It is less than 12, it is the time before mid day. So, it is A.M. Hence, in 12 hours system, it is written as 10:00 A.M. Again, let's take a time 5:00 in the evening. It is more than 12, it is the time after mid day. So, it is P.M. Hence, in 12-hours system it is written as 5 : 00 P.M. and in 24-hours system it is written as (12+5) = 17:00. Time Time in 24-hours Time in 12-hours 4 0'clock in the morning 9 0'clock 6 0'clock 4 : 00 9 : 00 18 : 00 23 : 00 23 : 00 P.M. 4 : 00 A. M. 9 : 00 A. M. 18 : 00 P. M. 11 o'clock at night Again, it is 11 o'clock in the evening. It is the time after mid day. So, in 12 hours system, it is 11:00 P.M. In 24 hours system it is 23:00. Example 1 Convert the following time of 12 hours system into 24 hours system. a. 10 : 00 A.M b. 2 : 30 P. M c. 10 : 15 P.M. Solution: a. 10: 00 AM It is the time before mid day. So, the time in 24-hours system is 10 : 00.
159 b. 2 : 30 P.M It is the time after mid day. So, the time in 24-hours system is (12 + 2 : 30) = 14 : 30. c. 10 : 15 P.M. It is the time after mid day. So, the time in 24 hours system is (12 + 10 : 15) = 22 : 15. Example 2 Convert the following time of 24-hours system into 12-hours system. a. 9 : 00 b. 17 : 15 c. 23 : 20 Solution: a. 9 : 00 Since, 9 is less than 12. It is the time before midday. So, the time in 12 hours system is 9 : 00 AM. b. 17 : 15 Since, 17 is grater than 12. It is the time after midday. So, the time in 12 hours system is (17 : 15 – 12) = 5 : 15 P.M. c. 23 : 20 Since, 23 is greater than 12, it is the time after midday. So, the time in 12 hours system is (23 : 20 –12) = 11 : 20 P.M. Remember ! Time Time in 24 hours Time in 12 hours system. 9 o'clock in the morning 9 : 00 9 : 00 A.M. 6 o'clock in the evening 18 : 00 6 : 00 A.M. 11 o'clock at night 23 : 00 11 : 00 P. M.
160 Answers Consult your teacher. Project Work • Make your daily time table and show it in 12-hours system and 24-hour system. • Collect your school routine from school administration and rewrite the routine in 12-hours system and 24-hours system. Exercise 8.3 1. Convert the following time of 12 hours system into 24 hours system. a. 7 : 15 A.M b. 2 : 30 P.M c. 9 : 35 P.M d. 11 : 50 A.M 2. Convert the following time of 24-hours system into 12-hours system. a. 10 : 00 b. 20 : 05 c. 18 : 35 d. 7 : 30 3. Rupsi wakes up at 6: 00 in the morning. She goes to school at 9 : 15 in the morning. she comes back home at 5 : 30 in the evening and she goes to bed at 10 : 15 in the evening. a. Rewrite this statement in 12 hours system. b. Rewrite the statement in 24 hours system. 4. Complete the given table. Time Time in 24-hours system Time in 12-hours system 6 : 30 morning 9 : 15 morning 2 : 20 afternoon 7 : 50 evening 10 : 35 evening
161 Let's learn the multiplication and division of time from the following examples: Example 1 Multiply: hours minutes seconds 5 24 35 × 3 15 72 105 15 73 45 16 13 45 105 sec = 1 min 45 sec 72 mins + 1 min = 73 mins = 1 hr 13 mins 15 hrs + 1 hr = 16 hrs Remember ! 15 hours 72 mins 105 sec. = 15 hours 73 mins 15 sec. = 16 hours 13 mins 15 sec. 5 hours 24 mins 35 seconds × 3 15 hours 72 mins 105 seconds 15 hours 1 hr 12 mins 1 min 45 sec 16 hours 13 mins 45 sec Alternative method: Divide: 13 hours 48 mins 32 seconds by 5. Solution: Let's divide 13 hrs by 5. Now, Now, adding 48 mins. 180 mins + 48 mins = 228 minutes. Example 2 5 13 2 hrs – 10 3 hours = 3 × 60 mins = 180 mins. Steps: • Divide hrs: 13 ÷ 5 = 2 hrs, remainder = 3 hrs • Convert the remainder of hrs into mins: 3 × 60 mins = 180 mins • Add the minutes: 180 mins + 48 mins = 228 mins • Divide minutes: 228 ÷ 5 = 45 mins, remainder = 3 mins • Convert remainder of mins into sec: 3 × 60 sec = 180 sec • Add seconds: 180 sec + 30 sec = 210 sec • Divide seconds: 210 sec ÷ 5 = 42 sec Multiplication and Division of Time
162 5 228 mins 45 mins - 20 28 - 25 3 mins = 3 × 60 sec = 180 sec. 180 sec + 30 sec = 210 sec. Now, dividing 228 minutes by 5. 5 210 sec 42 sec - 20 10 - 10 0 Hence, 13 hours 48 mins 32 seconds ÷ 5 = 2 hours 45 mins 42 sec. Multiplication and division of time in our daily life There are many situations in our daily life where multiplication and division of time takes place. Let's discuss some questions related to that. It takes 5 hours 25 minutes to fill a tank by a pipe. How long does it take to fill 5 such tanks? It takes more time to fill 4 tanks than to fill a tank. So, the required time is obtained by multiplying 5 hours 25 minutes by 4. 5 hrs 25 mins × 4 = 20 hrs. 100 mins = 20 hrs 1 hr. 40 mins = 21 hrs. 40 mins. Hence, it takes 21 hrs 40 mins to fill 4 scuh tanks. Let's take one more example; It takes 7 hours 30 minutes to fill 5 water tanks by a pipe. How long does it take to fill a tank? 60 100 1 – 60 40 Minutes hour
163 Again, 120 minutes + 30 minutes = 150 minutes. Now, dividing 150 minutes by 5. i.e. 7 hours 30 minutes divided by 5. = 1 hour 30 minutes. Hence, it takes 1 hour 30 minutes to fill a tank. 5 150 -15 0 30 minutes 1. Multiply: Exercise 8.4 a. Minutes Seconds 15 45 × 6 c. Month Days 8 12 × 8 b. Hours Seconds 5 35 × 8 d. Year Month 6 7 × 4 Since, it takes 7 hours 30 minutes to fill 5 water tanks. Then, it takes less time to fill one tank. It can be obtained dividing 7 hours 30 minutes by 5. Let's divide 7 hours by 5. 5 7 hours 1 hrs. - 5 hours 2 hours = 2 × 60 minutes = 120 minutes = 150 minutes.
164 2. Multiply the following: a. Hours Minutes Seconds 7 25 35 × 4 b. Hours Minutes Seconds 8 45 32 × 5 c. Years Months Days 7 8 15 × 3 d. Years Months Days 12 9 24 × 7 3. Divide: a. 15 minutes 30 seconds by 6 b. 12 hours 30 minutes by 5 c. 15 hours 30 minutes 48 seconds by 4 d. 15 hours 50 minutes 15 seconds by 7 e. 10 years 7 months 12 days by 6 f. 18 days 20 hours 40 minutes by 5 4. a. A teacher teaches for 4 hours 25 minutes in a day. For how long will he teach in 6 days? b. A pipe takes 2 hours 25 minutes 45 seconds to fill a cistern. How long does it take to fill 4 such cisterns? c. It takes 29 days 6 hours to make a complete revolution by the moon around the earth. How long does the moon take to make 5 such revolutions? d. It takes 365 days 6 hours to make a complete revolution by the earth around the sun. How long does the earth take to make 3 such revolutions.
165 Answers 1. a. 94 minutes 30 seconds b. 44 hrs 40 minutes c. 67 months 6 days d. 26 years 4 months 2. a. 29 hrs 42 minutes 20 sec. b. 42 hrs 47 minutes 40 sec. c. 24 hrs 1 month 15 days d. 89 years 8 months 18 days 3. a. 2 minutes 35 sec. b. 2 hours 30 minutes c. 3 hrs 52 minutes 42 sec. d. 2 hrs 15 minutes 45 sec. e. 1 yrs 9 months 7 days f. 3 days 18 hrs 20 minutes 4. a. 26 hours 30 minutes b. 9 hours 43 minutes c. 146 days 6 hours d. 1826 days 6 hours 5. a. 6 hrs. 35 minutes b. 45 minutes 5. a. A man works 6 days in a week. In a week he works 39 hours 30 minutes. If he works for equal time in every day, calculate how long does he work in 1 day? b. There are 7 periods in a day. Altogether there is a duration of 5 hours 15 minutes in a day. Calculate the time period in one period. 6. Study the given table and answer the questions given below. S. N. Type Number Time 1. Short questions 6 71 minutes 2. Long questions 8 130 minutes 3. Project work 3 43 minutes a. How much time is required to complete 1 short question? b. How much time is required to complete 1 long question? c. How much time is required to complete 1 long question?
166 Discuss the following questions in you classroom. • What units are used to measure the length of the objects? • Which one is greater, 1 cm or 1 mm? • Which one is smaller, 1 m or 1 cm? • Which one is bigger, 1 km or 1 m? • Which unit is appropriate to measure the (i) distance between two places? (ii) length of an eraser (iii) length of a playground? • What is the relation of cm and m? • What is the relation of mm and cm? • What is the relation of m and km? Measurement of length Units of measuring length are kilometre (km), metre (m), centimetre (cm) and millimetre (mm). To measure a short distance we use millimetre (mm) and centimetre (cm) . To measure long distance we use metre (m) and kilometre (km). We use ‘cm’ to measure the length of a line segment. We use ‘m’ to measure the length of a classroom. We use ‘km' to measure the distance between two places. Conversion of units of lengths To convert the units of length we use the following relations. Distance UNIT 9 Review
167 1 cm = 10 mm 5 cm = 5 × 10 mm Example 1 Convert 5 cm 3 mm into mm. Solution: 5 cm 3 mm = 5 × 10 mm + 3 mm = 50 mm + 3 mm = 53 mm Example 2 Convert 8 m 65 cm into cm. Solution: 8 m 65 cm = 8 × 100 cm + 65 cm = 800 cm + 65 cm = 865 cm Convert 25 mm into cm. Solution: 25 mm = 25 10 cm = 2.5 cm Example 3 Convert 5 km 330 m into metre. Solution: 5 km 330 m = 5 × 1000 m + 330 m = 5000 m + 330 m = 5330 m 1 km = 1000 m 5 km = 5 × 1000 m 5000 m 1000 m = 1 km 1m = 1 1000 km 100 cm = 1 m 1 cm = 1 100 m Multiply km by 1000 to convert it into m. Divide m by 1000 to convert it into km. • Multiply m by 100 to convert it into cm. • Divide cm by 100 to convert it into m. 10 mm = 1 cm 100 cm = 1 m 1000 m = 1 km To convert cm into mm, we have to multiply cm by 10 and to convert mm to cm we have to divide mm by 10.
168 Example 4 Convert 4 cm 8 mm into cm. Solution: 4 cm 8 mm = 4 cm + 8 10 cm = 4 cm + 0.8 cm = 4.8 cm 10mm = 1 cm 1 mm = 1 10 cm 8 mm = 8 10 cm 1000m = 1 km 1 m = 1 1000 km = 450 1000 km 1 cm = 1 100 m 25 cm = 25 100 m Example 5 Convert 8 m 25 cm into m. Solution: Here, 8 m 25 cm = 8 m + 25 100 m = 8 m + 0.25m = 8.25 m Example 6 Example 7 Convert 5 km 450 m into km. Solution: Here, 5 km 450 m = 5 km + 450 1000km = 5 km + 45 100 km = 5 km + 0.45 km = 5.45 km Convert 1580 m into km and m. Solution: Here, 1580m = 1580 1000 km = 1 km 580 m 1000 1580 1 km – 1000 580 m 1. Convert into mm: a. 3 cm b. 2 cm c. 4 cm 3 mm d. 5 cm 6 mm e. 12 cm 7 mm f. 21 cm 8 mm Review Exercise 9.1
169 2. Convert into cm: a. 4 m b. 5 m 35 cm c. 8 m 15 cm d. 20 m 35 cm e. 35 m 45 cm 3. Convert into meter (m): a. 2 km b. 3 km 450 m c. 6 km 950 m d. 12 km 850 m e. 16 km 750 m 4. Convert into cm: a. 15 mm b. 40 mm c. 56 mm d. 75 mm e. 94 mm 5. Convert into m: a. 500 cm b. 325 cm c. 6 m 40 cm d. 7 m 20 cm e. 12 m 40 cm 6. Convert into km: a. 3000 m b. 4320 m c. 6 km 500 m d. 12 km 425 m 7. Convert into m and cm: a. 250 cm b. 475 cm c. 880 cm d. 1240 cm 8. Convert into km and m: a. 3420 m b. 5726 m c. 7500 m d. 16324 m Answers 1. a) 30 mm b) 20 mm c) 43 mm d) 56 mm e) 127 mm f) 218 mm 2. a) 400 cm b) 535 cm c) 815 cm d) 2035 cm e) 3545 cm 3. a) 2000 m b) 3450 m c) 6950 m d) 12850 m e) 16750 m 4. a) 1.5cm b) 4 cm c) 5.6 cm d) 7.5 cm e) 9.4 m 5. a) 5m b) 3.25m c) 6.4 m d) 7.2 m e) 12.4 m 6. a) 3 km b) 4.32 km c) 6.5 km d) 12.425 km 7. a) 2m 50 cm b) 4m 75 cm c) 8m 80cm d) 12m 40 m 8. a) 3 km 420 m b) 5km 726 m c) 7km 500 m d) 16 km 324 m. Project Work • From different sources collect the length of different highways of Nepal. Convert their unit into meter and present it in your class room. • In a chart paper, write the relation between different units of length.
170 48 mm = 4 cm 8 mm 270 cm + 4 cm = 274 cm = 2 m 74 cm 36 m + 2 m = 38 m Example : Multiply 6 m 45 cm 8 mm by 6. Solution: Here, Let's learn the multiplication and division of length from the given example. m cm mm 6 45 8 × 6 36 270 48 36 274 8 38 74 8 Hence, the required result is 38 m 74 cm 8 mm. Divide 7 km by 6. 6 7 km 1 km - 6 1 km = 1 × 1000 m = 1000 m Now, 1000 m + 25 m + 1025 m 6 1025 m 170 m - 6 42 - 42 5 m = (5 × 100) cm = 500 cm + 76 m = 576 cm Example : Divide 7 km 25 m 74 cm by 6. Solution: Here, 6 576 96 m - 54 36 - 36 0 \ (7 km 25 m 76 cm) ÷ 6 = 1 km 170 m 96 cm Let's divide 1025m by 6. Multiplication and Division of Length
171 1. Multiply: a. 51 cm 4 mm by 6 b. 7 m 25 cm by 8 c. 3 km 225 m 35 cm by 4 d. 4 km 350 m 80 cm by 7 e. 425 m 70 cm 8 mm by 5 f. 216 m 85 cm 7 mm by 6 2. Divide: a. 6 km 325 m 44 cm by 4 b. 18 km 325 m 44 cm by 12 c. 17 km 645 m 76 cm by 16 d. 6 m 25 cm 6 mm by 4 Exercise 9.2 3. a. A man walks 5 km 240 m and 6 cm in a day. How far does he walk in 5 days? b. The length of a piece of wire is 8 m 62 cm 6mm. Find the total length of 6 such wires. c. A man walks 5km 410m in 1 hour. How long does he walk in 5 hours? d. A bus runs 45 km 540m in 1 hour. How long does it run in 3 hours? 4. a. If a man travels 17 km 120 m in 5 hours, how long distance will he cover in one hour? b. Acar runs 120 km 500m in 5 hours. How much does it run in 1 hour? c. A ribbon of length 5m 40cm is divided into 9 equal pieces. What is the length of each piece? Answers 1. a) 3 m 8cm 4 mm b) 58 m c) 12 km 901m 40 cm d) 30 km 455 m 60 cm e) 2 km 128 m 54 cm f) 1 km 301m 14 cm 2mm 2. a) 1km 581m 36 cm b) 1 km 527 m 12 cm c) 1 km 103 m 86 cm d) 1 m 56 cm 4 mm 3. a) 26 km 203 m b) 51m 75 cm 6 cm c) 27 km 50 m d) 136 km 620 m 4. a) 3 km 424 m b) 24 km 100 m c) 60 cm Project Work Collect some information from our daily life where multiplication of length with a number takes place. Solve the problems and present it in the classroom.
172 Discuss the following questions in your classroom. • What are the different units of capacity? • Which is more 1 litre or 1 millilitre? • How much millilitre is equal to 1 litre? • If the capacity of a mug is 1 litre, guess the capacity of • bucket • Jug • Guess the capacity of a glass, more than or less than a litre? • Guess the capacity, of a spoon, 10ml, 100ml or 1 l. Measurement of Capacity The amount of liquid that a vessel can hold in it is called capacity. Capacity of a vessel is measured in litre (l) and millilitre (ml). Conversion of units of capacity The commonly used units of capacity are litre (l) and millilitre (ml). We can convert the units of capacity using the relation, 1 litre = 1000 ml 1000 litres = 1 kilolitre Example 1 Convert 3 litre 250 ml into ml. Solution: Here, 3 litre 250 ml = 3 × 1000 ml + 250 ml = 3000 ml + 250 ml = 3250 ml We can convert litre (l) into millilitre, multiplying litre by 1000. Capacity UNIT 10 Review
173 6 2322 ml 387 ml - 18 52 - 48 42 - 42 0 \ 26 l 322 ml ÷ 6 = 4l 387 ml Example 2 Convert 2750 ml into litre ( l ) and millilitre (ml) Solution: Here, 2750 ml = 2750 1000 litre = 2 litre 750 ml 1000 2750 2 litre - 2000 750 ml Example 3 Example 4 Multiply: Solution: Here, Division: Division of capacity by a whole number Let’s observe the following examples and get the idea of division of capacity by a whole number. Multiplication of capacity by a whole number Let’s observe the following examples and get the idea of multiplication of capacity by a whole number. litre ml 6 570 × 6 36 3420 39 420 \ 39 litres 420 ml litre ml 6 26 322 4 litre -24 2 × 1000 ml = 2000 ml + 322 ml = 2322 ml • 570 × 6 = 3420 ml = 3 l 420 ml • 6 × 6 = 36 l • 36 l + 3 l = 39 l Solution: Here,
174 1. Convert the following into millilitre (ml): a. 2 l b. 5 l c. 6 l 350 ml d. 7 l 250 ml e. 8 l 640 ml f. 15 l 840 ml g. 18 l 320 ml h. 25 l 50ml 2. Convert the following into litre (l) and millilitre (ml): a. 1350 ml b. 2460 ml c. 3500 ml d. 5500 ml e. 12650 ml 5. a. A bucket contains 10 l 452 ml of water. Find the quantity of water in 6 such buckets. b. A jar contains 15 l 322 ml of milk. Find the quantity of milk in 7 such jars. 6. a. 3 l 500 ml milk was distributed equally among 20 children. How much milk was given to each? b. A bucket contains 15 litre 600 ml water. It is to be equally filled in 5 different pots. How much water is filled in each pot? 3. Multiply: a. l ml 5 250 × 6 b. l ml 8 640 × 8 c. l ml 12 120 × 6 d. 12 l 350 ml by 8 e. 15 l 450 ml by 7 f. 16 l 150 ml by 5 4. Divide: a. 16 l 480 ml by 4 b. 24 l 486 ml by 11 c. 9 l 126 ml by 3 d. 12 l 400 ml by 8 Exercise 10.1 Answers 1. a) 2000 ml b) 5000 ml c) 6350 ml d) 7250 ml e) 8640 ml f) 15840 ml g) 18320 ml h) 25050 ml 2. a) 1 l 350 ml b) 2 l 460 ml c) 3 l 500 ml d) 5 l 500 ml e) 12 l 650 ml 3. a) 31l 500 ml b) 69 l 120 ml c) 72 l 720 ml d) 98 l 800 ml e) 108 l 150 ml f) 80 l 750 ml 4. a) 4 l 120 ml b) 2 l 226 ml c) 3 l 42 ml d) 1 l 550 ml 5. a) 62 l 712 ml b) 107 l 254 ml 6. a) 175 ml b) 3 l 120 ml Project Work With the help of your guardian, find out the capacity of 5-6 different vessels available in your home. Convert their capacity into ml and present it in your classroom.
175 Measurement of Weight To measure the weight of an object, we use pan balance, spring balance, dial balance etc. Weight of an object is measured in kilogram (kg), gram (gm), milligram (mg). Heavier objects are measured in kilogram (kg) and lighter objects are measured in gram (gm). Short form of kilogram = kg, gram = gm, milligram = mg Discuss the following questions in your classroom. • Which units are used to measure the weight? • Which is more 1gm or 1 kg? • Which is more 1gm or 1mg? • How much gram is equal to 1 kg? • How much mg is equal to 1 gm? • How much kg is equal to 1 quintal? Conversion of units of weight To convert the units of weight, let's remember the following relations. 1000 mg = 1 gm 1000 gm = 1 kg 100 kg = 1 quintal Weight UNIT 11 Review
176 1000 mg = 1 gm 1 mg = 1 1000 gm 360 mg = 360 1000 gm Example 2 Example 3 Convert 5 kg 450 gm in gm. Solution: 5 kg 450 gm = 5 × 1000 gm + 450 gm = 5000 gm + 450 gm = 5450 gm Convert 360 mg into gm. Solution: 360mg = 360 1000 gm = 0.36 gm 1 kg = 1000 gm 3 kg = 3 × 1000 gm Example 4 Example 5 Convert 25 gm 350 mg in gm. Solution: 25 gm 350 gm = 25 gm + 350 1000 mg = 25 gm + 0.35 gm = 25.35 gm Convert 7 kg 600 gm into kg. Solution: 7 kg 600 gm = 7 kg + 600 1000 kg To convert mg into gm, we have to divide mg by 1000. Example 1 Convert 3 gm into mg. Solution: 3 gm = 3 × 1000 mg = 3000 mg I understand! To convert gm into mg, I have to multiply gm by 1000. = 7 kg + 6 10 kg = 7 kg + 0.6 kg = 7.6 kg
177 1. Convert the following into milligram (mg): [Given 1 gm = 1000mg] a. 15 gm b. 22 gm c. 25 gm 250 mg d. 20 gm 340 mg e. 7 gm 650 mg f. 350 gm 540 m 2. Convert the following into gm: [Given 1 kg = 1000 gm] a. 5 kg b. 9 kg c. 12 kg 350 gm d. 18 kg 640 gm e. 15 kg 450 gm f. 10 kg 650 gm 3. Covert the following into kg. a. 5 quintal b. 4 quintal 60 kg c. 8 quintal 90 kg Review Exercise 11.1 4. Convert the following into gm: a. 450 mg b. 640 mg c. 8 gm 300 mg d. 210 gm 750 mg e. 105 gm 500 mg 5. Convert the following into kilogram (kg): a. 500 gm b. 750 gm c. 8 kg 400 gm d. 9 kg 650 gm e. 15 kg 850 gm f. 24 kg 370 gm 6. Convert the following into gm and mg: a. 5732 mg b. 6385 mg c. 5284 mg d. 9231 mg e. 6576 mg f. 3085 mg Answers 1. a) 15000 mg b) 22000 mg c) 25250 mg d) 20340 mg e) 7650 mg f) 350540 mg 2. a) 5000 gm b) 9000 gm c) 12350 gm d) 18640 gm e) 15450 gm f) 10650 gm 3. a) 500 kg b) 460 kg c) 890 kg 4. a) 0.45 gm b) 0.64 gm c) 8.3 gm d) 210.75 gm e) 105.5 gm 5. a) 0.5 kg b) 0.75 kg c) 8.4 kg d) 9.65 kg e) 15.85 kg f) 24.37 kg 6. a) 5 gm 732 mg b) 6gm 385 mg c) 5 gm 284 mg d) 9 gm 231 mg e) 6gm 576 mg f) 3 gm 85 mg 7. a) 1 quintal 20 kg b) 2 quintal 50 kg c) 4 quintal 65 kg d) 7 quintal 50 kg 7. Convert the following into quintal and kg. a. 120 kg c. 250 kg c. 465 kg d. 750 kg
178 5 2450 490 gm - 20 45 - 45 0 ( 7 kg 450 gm) ÷ 5 = 1 kg 490 gm 700 × 6 = 4200 mg = 4 gm 200 mg 450 × 6 = 2700 gm 2700 gm + 4 gm = 2704 gm = 2 kg 704 gm 8 × 6 = 48 kg 48 kg + 2 kg = 50 kg Example 1 Multiply: Let's learn the multiplication and division of weight from the given example. Kg gm mg 8 450 700 × 6 48 2700 4200 50 704 200 Example 2 Divide 7 kg 450 gm by 5. Solution: There are many situations in our daily life where multiplication and division of weight takes place. Let's discuss some example; Kg gm 5 7 450 1 kg - 5 2 kg = 2 × 1000 gm = 2000 gm + 450 gm = 2450 gm = 3 × 1000 gm + 600 gm = 3000 gm + 600 gm = 3600 gm Multiplication and Division of Weight by a Whole Number much does each household get?
179 1. Multiply: a. 5 kg 450 gm by 6 b. 8 kg 220 gm by 9 c. 320 gm 750 mg by 5 d. 450 gm 640 mg by 8 e. 6 kg 340 gm 450 mg by 5 f. 8 kg 680 gm 370 mg by 6 12 36000 300 gm - 36 00 Hence, each family gets 4 kg 300 gm rice. Exercise 11.2 2. Divide: a. 640 gm 350 mg by 5 b. 815 gm 253 mg by 7 c. 15 kg 618 gm by 6 d. 11 kg 720 gm 241 mg by 3 3. a. A packet contains 5 kg 640 gm of rice. Find the quantity of rice in 7 such packets. b. A packet of sugar contains 9 kg 750 gm sugar. How much sugar is there in 8 such packets. c. A family needs 2 kg 220 gm rice per day. Find how much rice is needed for 1 week? 4. a. 15 kg 840 gm potatoes are distributed equally among 9 families. How many kilos of potatoes does a family get? b. 5kg 400 gm sugar is to be packed in 9 different packets equally. Find how much sugar is there in one packet? Project Work Using the pan balance in the shop nearby your home take the weight of six different items available in your home. Present their weight in kg and gm. Answers 1. a) 32 kg 700 gm b) 73 kg 980 gm c) 1 kg 603 gm 750 milligram d) 3 kg 604 gm 20 milligram e) 31 kg 702 gm 250 milligram f) 52 kg 82 gm 220 mg 2. a) 120 gm 70 mg b) 116 gm 79 milligram c) 2 kg 603 gm d) 3 kg 906 gm 747 mg 3. a) 39 kg 480 gm b) 78 kg c) 15 kg 540 gm 4. a) 1 kg 760 gm b) 600 gm
180 Perimeter Let's observe the given figure and get the idea about the perimeter of a plane figure. In the quadrilateral ABCD, length of AB = 2.5 cm length of BC = 3 cm length of CD = 4.5 cm length of AD = 4 cm Total length of the boundary = AB + BC + CD + AD = (2.5 + 3 + 4.5 + 4) cm = 14 cm Hence, the perimeter of a plane figure is the total length of its outer boundary. To obtain perimeter, we have to add the length of all sides of a plane figure. A D B C 3 cm 4.5 cm 4 cm 2.5 cm Perimeter of a triangle: The given figure ABC is a triangle. AB, BC and AC are its three sides. \ Perimeter of DABC = AB + BC + AC. Perimeter of a quadrilateral: The given figure ABCD is a quadrilateral. AB, BC, CD and AD are its four sides. \Perimeter of quadrilateral ABCD = AB + BC + CD + AD Perimeter, Area and Volume UNIT 12 Review
181 Perimeter of a rectangle, using formula ABCD is a rectangle. Its length are AB and DC. Its breadth are AD and BC. \ AB = DC = l AD = BC = b Now, Perimeter of a rectangle = AB + BC + CD + AD = l + b + l + b = 2l + 2b = 2(l + b) \ Perimeter of a rectangle = 2(l + b) Example 1 Find the perimeter of rectangle ABCD. Solution: Here, length (l) = 5 cm breadth (b) = 2 cm We have, perimeter of a rectangle = 2(l + b) = 2(5 + 2) cm = 14 cm A D B C 5cm 2cm Perimeter of a square, using formula ABCD is a square. Its four sides are AB, BC, CD and AD. All four sides of a square are equal. AB = BC = CD = AD = l Perimeter of a square = AB + BC + CD + AD = l + l + l + l = 4l \ Perimeter of a square = 4l
182 Example 2 Find the perimeter of the given square. Solution: Here,length (l) = 3 cm We have, perimeter of a square = 4l = 4 × 3 = 12 cm 1. Find the perimeter of the following closed figures: Exercise 12.1 2. a. If three sides of a triangle are 2.6 cm, 4.2 cm and 5.1 cm, find its perimeter. b. If all five sides of a pentagon are 5.5cm, find its perimeter. 3. Find the perimeter of rectangles whose length and breadth are given below: a. length = 6 cm, breadth = 5 cm b. length = 8 cm, breadth = 6 cm
183 4. Find the perimeter of squares whose lengths are given below: a. length = 6 cm b. length = 5 cm c. length = 4.5 cm d. length = 5.5 cm e. length = 4.8 cm f. length = 3.7 cm 5. Solve the following problems: a. A rectangular room is 12 m long and 8 m wide. Find its perimeter. b. A square field is 46.5 m long. Find its perimeter. c. A rectangular garden is 24 m long and 16 m wide. Find the length of wire required to fence the garden. d. A man wishes to enclose a square field having each side of 18 m with a wire. Find the length of the wire required to fence it, i. once ii. twice iii. thrice e. Arectangular garden is 20 m long and 12 m wide.Aman runs round the garden 5 times. What distance does he cover? Answers 1. a) 13.5 cm b) 14 cm c) 12 cm d) 14 cm e) 18 cm f) 20 cm g) 19 cm 2. a) 11.9 cm b) 27.5 cm 3. a) 22cm b) 28cm c) 16 cm d) 19.6 cm e) 22.8 cm 4. a) 24 cm b) 20 cm c) 18 cm d) 22cm e) 19.2 cm f) 14.8 cm 5. a) 40 cm b) 186 cm c) 80m d) (i) 72 m (ii) 144m (iii) 216 m e) 320 m Project Work Measure the length of different sides of your book, your copy, your classroom, your bench, TT board in the school, your whiteboard in the class and find their perimeter. Present the report in the classroom. c. length = 4.5 cm, breadth = 3.5 cm d. length = 5.6 cm, breadth = 4.2 cm e. length = 6.3 cm, breadth = 5.1 cm
184 If we paste a picture on the wall, it covers some surface of the wall. The space covered by the surface of an object is its area. Let's observe these two figures. Surface of the book is greater than that of the box. So the area of the book is greater than that of the box. The unit of the area: Generally square cm, square metre etc. are the units of area. The given figure ABCD is a square. Each of its sides is 1 cm. So the area of the square ABCD is 1 cm² or 1 square cm. The area of a figure formed by the squares of side 1 cm each: The area of a figure formed by the squares having sides 1 cm each can be obtained by counting the number of squares. \ Area of shaded parts = 12 sq. cm or 12 cm². In the given figure, 12 squares having each side 1 cm are shaded. If the side of a square is 1 cm, its area is 1 cm² (sq. cm). Area
185 Note: area = 1 sq. cm area = 1 2 sq. cm Example 1 Find the area of the shaded part in the given figure. Solution: Here, In the given figure, number of completely shaded square box = 12 Its area = 12 sq. cm. Number of half-shaded square box = 5 Its area = 5 × 1 2 sq.cm = 5 2 sq. cm \ Area of the shaded part = 12 sq. cm + 5 2 sq. cm = 29 2 sq. cm. Area of rectangle In the given figure, rectangle ABCD is formed by the combination of 15 squares having each side 1 cm. Therefore, area of rectangle ABCD = 15 sq. cm Again, Number of squares along the length of ABCD = 5 Number of squares along the breadth of ABCD = 3
186 Area of square A square is also a rectangle. Its length and breadth are equal. Area of a square = length × breadth = length × length = (length)² \ Area of a square = l² Now, Area of rectangle ABCD = 15 sq.cm = 5 × 3 sq. cm = length × breadth \ Area of a rectangle = l × b length breadth Example 2 Find the area of the given figures: Solution: a. Here, length (l) = 7 cm breadth (b) = 3 cm We have, area of a rectangle = l × b = 7 cm × 3 cm = 21 sq. cm Solution: b. Here, length (l) = 3 cm We have, area of a square = l² = (3cm)² = 9 sq. cm Example 3 Find the area of the shaded region: Solution: Here,
187 Area of bigger rectangle = 8 m × 6 m = 48 m² Area of smaller rectangle = 6 m × 4 m = 24 m² Area of the shaded part = Area of the bigger rectangle - Area of the smaller rectangle = 48 m² - 24 m² = 24 m² 1. Findthe area ofthe followingfiguresby counting thenumber ofunit squares: Exercise 12.2 d 2. Find the area of the following shapes by counting the squares:
188 4. Find the area of the rectangles whose length and breadth are given below: a. length (l) = 5 cm, breadth (b) = 4 cm b. length (l) = 6 cm, breadth (b) = 5 cm c. length (l) = 8 cm, breadth (b) = 5 cm d. length (l) = 12 cm, breadth (b) = 10 cm e. length (l) = 20 cm, breadth (b) = 18 cm f. length (l) = 25cm, breadth (b) = 15 cm 5. Find the area of the squares having: a. length (l) = 5 cm b. length (l) = 6 cm c. length (l) = 4.5 cm d. length (l) = 5.5 cm e. length (l) = 5.1 cm 3. Find the area of the given figures (using formula): 4 cm 6 cm 6 cm 6. a. A rectangular ground has length 25 m and breadth 20m. Find the area of the ground. b. A rectangular plot of land is 35 m long and 22 m wide. Find its area. c. A square garden has length 40 m. Find its area. 7. Find the area of the shaded part in each of the given figures.
189 Answers 1. Consult your teacher 2. Consult your teacher 3. a) 12cm2 b) 9 cm2 c) 10cm2 d) 13cm2 e) 14 cm2 f) 36cm2 4. a) 20cm2 b) 30cm2 c) 40cm2 d) 120 cm2 e) 360 cm2 f) 375 cm2 5. a) 25cm2 b) 36cm2 c) 20.25cm2 d) 3025cm2 e) 26.01cm2 6. a) 500m2 b) 770 m2 c. 1600m2 7. a) 16cm2 b) 20cm2 c) 7cm2 d) 26cm2 Project Work Measure the length of different sides of your book, your copy, your classroom, your bench, TT board in the school, your whiteboard. Round off them into the whole number and find their area. Present the report in the classroom. Volume of a cuboid It is a cuboid. Its three dimensions are length, breadth and height. The length, breadth and height of a cuboid are not equal. Volume of the cuboid = length × breadth x height Volume of a cube It is a cube. Its three dimensions length, breadth and height are equal. Volume of the cube = length × length × length = l³ Every solid object occupies some space. The space occupied by any object is called volume. We express volume in cubic units. Volume of unit cube This is a cube. Its all three dimensions are 1 cm. \ Volume of this cube = 1 cu. cm = 1 cu. cm 1 cu. cm = 1 cm³ = 1c.c. Volume
190 Volume of this figure = 4 cu. cm Remember: • 1000 cu. cm = 1 litre Example 1 Find the volume of the given cuboid. Solution: Number of cubes along the length (l) = 4 Number of cubes along the breadth (b) = 2 Number of cubes along the height (h) = 2 Volume of the cube = 4 × 2 × 2 = 16 cu. cm 4cm Example 2 Find the volume of a room whose length, breadth and height are 6m, 4.5 m and 3 m respectively. Solution: Here, Length (l) = 6 m Breadth (b = 4.5 m Height (h) = 3 m We have, Volume (v) = l × b × h = 6 m × 4.5 m × 3 m = 81 cu. m Example 3 Find the volume of a cubical box whose length is 6 cm. Solution: Volume (v) = l³ = (6cm)³ = 216 cu. cm
191 Example 4 Length, breadth and height of a vessel are 24 cm, 10 cm and 8 cm respectively. Find its volume in litre. Solution: Here, Length (l) = 24 cm Breadth (b) = 10 cm Height (h) = 8 cm We have, Volume = l × b × h = 24 × 10 × 8 cu. cm = 1920 cu. cm = 1920 1000 litre = 1.92 litre 1000 cu. cm = 1 litre 1 cu. cm = 1 1000 litre 1920m cu. cm = 1920 1000 litre 1. In the given figures, volume of each cube is 1 cu. cm. Count the number of cubes to find the volume of the given solids: Exercise 12.3 a. c. b. d.
192 e. f. 2. Find the volume of the following cuboids: a. c. b. d. 3. Find the volume of the following cubes: a. c. b. d.
193 4. Find the volume of the following cuboids: a. length = 2.5 cm, breadth = 2 cm, height = 2 cm b. length = 6 cm, breadth = 4.5 cm, height = 2 cm c. length = 5 cm, breadth = 3.5 cm, height = 4 cm d. length = 4 cm, breadth = 3.5 cm, height = 3 cm e. length = 4 cm, breadth = 3.2 cm, height = 2 cm 5. Find the volume of the following cubes having side: a. 3 cm b. 5cm c. 4.5 cm d. 3.6 cm e. 4.8 cm 6. Count the number of cubes having volume 1 cu. cm each along length, breadth and height to find l, b and h ofthe given figures and then find the volume: 7. a. Aroom is 4 m long, 3.5 m wide and 2.5 m high. Find the volume of the room. b. Find the volume of the cubical box having each side of 8 m. a. c. b. d.
194 Answers 1. Consult your teacher 2. a) 24cm2 b) 40cm3 c) 96cm3 d) 200 cm3 3. a) 27cm3 b) 15.625cm3 c) 42.875 cm3 d) 8cm3 4. a) 10cm3 b) 54cm3 c) 70cm3 d) 42 cm3 e) 25.6 cm3 5. a) 27cm3 b) 125 cm3 c) 91.125cm3 d) 46.656cm3 e) 110.592 cm3 6. a) 20cm3 b) 40cm3 c) 12cm3 d) 20cm3 7. a) 35cm3 b) 216 cm3 Project Work Collect some cubical objects available in the surrounding. Measure its sides convert the measurement into its nearest whole number and find their volume. Choose the correct alternatives. 1. The cost of a pen is Rs. 20 and 60 Paisa, what is the cost of 8 pens? (i) Rs. 160 and 60 Paisa (ii) Rs. 164 and 80 Paisa (iii) Rs. 164 and 60 Paisa 2. The cost of 5 articles is Rs. 90 and 60 Paisa. What is the cost of an article? (i) Rs. 18 (ii) Rs. 18 and 60 Paisa (iii) Rs. 18 and 12 Paisa 3. A man deposits Rs. 110 and 20 Paisa in a day. In one month he deposits (i) Rs. 3306 (ii) Rs. 3300 (iii) Rs. 3360 4. A car runs 30 kg 400m in 1 hour then in 5 hrs the car runs. (i) 150 km (ii) 152 km (iii) 155 km
195 5. If a ribbon of length 6m 50cm is cut into 13 equal pieces, then the length of each piece is (i) 50cm (ii) 65cm (iii) 1m 50cm 6. Capacity of a jar is 20l 500ml. In a Dairy there are 7 jar full of milk. Total quantity of milk in the Dairy is (i) 140l (ii) 143l 500ml (iii) 143l 7. 80 kg 800gm sugar is to be equally divided among 20 families, then each family gets. (i) 4kg 40gm (ii) 4kg 400gm (iii) 4kg 4gm 8. The length and breadth of a rectangle 0 are 18cm and 12cm then its perimeter is (i) 30cm (ii) 216 cm (iii) 60cm 9. The area of the shaded part in the given is (i) 30cm (ii) 6 cm2 (iii) 24 cm2 10. The volume of given solid object is (i) 4 cm3 (ii) 16 cm3 (iii) 8 cm3 6 cm 3cm 4cm 2cm
196 Unit Test Full marks : 30 Attempt all the questions. 1. Multiply: a. Rs. 20 and 30 Paisa by 8 3 × 2 = 6 b. 5km 250m by 6 c. 5 quital 30 kg by 7 2. Divide: a. Rs. 18 and 78 Paisa by 3 4 × 2 = 8 b. 9km 600m by 6. c. 24 kg 400gm by 6. d. 15 litre 200ml by 8. 3. a. Salary per month of a man is Rs. 38200 and 50 Paisa. How much does he earn in one year? 2 b. In a month a man pays a tax of Rs. 320 and 80 Paisa. How much tax does he pay in a year? 2 4. a. A constructor construct a road of length 5km 300m in one month. What length of road can he construct in 1 year? 2 b. 8 quintals 90 kg rice is to be distributed equally among 5 households. Find how much rice does each household get? 2 5. Find the perimeter of given place figures. 3 6. Find the area of shaded part in the given figure. 4 7. Find the volume of given cuboid. 1 40m 40m 30m a. a. b. b. 8 cm 8 cm 2cm 2cm 4cm 6cm 10cm 8 cm 6cm 8cm 10cm
197 Materials Required : Graph sheet, thermometer, models of bar graph, etc. • Bill and Budget Contents • Chart and Bargraph • To prepare the bills from the given price list • To prepare the household budget • To prepare the chart from the given informations • To prepare the bar graph in a square grid paper from the given informations. Expected Learning Outcomes Upon completion of the unit, students will be able to develop the following competencies: 12 3 6 9 15 statistics 4
198 Look at the given sample of bill and learn how to prepare it. PAN No. 256171423 Sharmila Bhusal Mathematics Book IV Science Book IV In words: Six thousand four hundred and sixty rupees only Belbase Book Distributors Sandhikarka, Arghakhachi Bill and Budget UNIT 13 Bill When we go to a shop to buy something, the shopkeeper gives a bill. On the bill there are details about the quantity and price of the things that we buy.
199 • The name of the shop is Belbase Book Distributors. • PAN number of the shop is 256171423. • The name of the buyer is Sharmila Bhusal. • The buyer has bought these items on 078/10/25 • The cost of a Mathematics book IV is Rs. 190. • The buyer bought 20 exercise books. • The cost of a pen is Rs. 20. • He bought 24 pens. • The total amount of bill is Rs. 6460. Remember ! A bill has • name and address of shop or store • bill number • PAN • date of issue of the bill • quantity of each item • rate of each item • total cost of all items • signature of salesman Study the above bill and answer the questions given below: (i) What is the name of the shop? (ii) What is the PAN number of the shop? (iii) What is the name of the buyer? (iv) On which date has the buyer bought these items? (v) What is the cost of a Mathematics book IV? (vi) How many exercise books did the buyer buy? (vii) What is the cost of a pen? (viii) How many pens did he buy? (ix) What is the total amount of the bill?
200 1. Arun Khaling Rai purchased the following items from Mata Pathivara Department Store. If he bought 2 chocolates, 3 breads, 1 chip, 2 ice-creams and 2 litre curd, prepare the bill. Rs. 75 Rs. 35 Rs. 60 Rs. 80 Rs. 120 Mata Pathivara Department Store Phidim, Panchthar Pan No: 11726123 Bill No. 226 Mr/Mrs/Ms Numafung Lawati Date ......................... ........................... Salesman S.N Description Quantity Rate Amount 1. 2. 3 4. 5. Total In words: ........................................ ........................................................