Acme Mathematics-3 1Approved by the Government of Nepal, Ministry 3of Education, Science and Technology, Curriculum Development Centre, Sanothimi, Bhaktapur as an additional material.Please scan forE-book
2 Acme Mathematics-3Publisher : Sundar Pathshala Prakashan Pvt. Ltd.Anamnagar, Kathmandu, NepalLayout Design : Sundar Pathshala Prakashan DesktopEdition : 2063 (First)2067 (Second)2080 (Third)2083 (Fourth) Revised & UpdatedPrinted in Nepal
Acme Mathematics-3 3I feel proud to present this edition of Mathematics book. It is based on the latest syllabus, formed by Curriculum Development Centre (CDC). I have emphasized the theoretical as well as the numerical aspects of the mathematics course. The underlying concepts have been gradually and systematically developed.In each chapter, all the results and concepts of a particular topic have been put together. These are followed by a large quantity of solved examples. Quite a large number of problems have been given as exercises.I am thankful to Sundar Pathshala Prakashan Pvt. Ltd. for its contribution in bringing out this series in such a splendid form as well as thankful to staff who contributed in bringing out this series like as computer designer, art worker, etc. I also wish to thank all teachers and students who have given creative suggestions. I look forward to hearing from both teachers and students' opinions and valuable suggestions that will help improve the book in next edition.Author3rd Bhadra 2082Preface
4 Acme Mathematics-3Theme 5 : Number System 137-177Theme 1 : My Daily Life 5-29Theme 6 : Basic Operations 188-234Theme 3 : My Creation 58-87Theme 2 : Our Community 30-57Theme 4 : Communication, Technology and Market 88-136Theme 7 : Measurement 235-2431.1. Telling time 1.2 Relation between hour, minute and second 1.3 Relation between day, week, month and year 1.4 Conversion of time 1.5 Month and years 1.6 Calculation of time Contents2.1 Order of number 2.2. Fraction. 2.3 Measurement of Length 3.1 Line Segment 3.2 Angle 3.3 Triangle 3.4 Quadrilateral4.1 Money 4.2 Capacity 4.3 Weight 4.4 Pictograph 5.1 Revision. 5.2 4-digit number5.3 5-digit number5.4 Local number 6.1 Revision 6.2 Addition of 3-digit number 6.3 Subtraction of 3-digit number 6.4 Relation between addition and Subtraction 6.5 Multiplication 6.6 Division.
Acme Mathematics-3 5MY DAILY LIFE THEME11.1. Telling time -Time in hour. -Time in minutes -Time in Seconds 1.2 Relation between hour, minute and second 1.3 Relation between day, week, month and year 1.4 Conversion of time 1.5 Month and years 1.6 Calculation of time Weightage : 8 hours
6 Acme Mathematics-3Study the given clock.• Short hand represents hour. • Long hand represents minute.• Long and thin hand represents second.Why are you late today? At what time did you get up?I got up when the sun rose.OK, I'll teach how to know the time.Hour Min.DIGITAL CLOCKSec.represents secondsrepresents hoursrepresents minutes1.1 Telling the Time
Acme Mathematics-3 7Look at the clock face given alongside. The clock dial is divided into 12 equal parts 1, 2, 3, ................ 12 (big division). The clock has three hands :(a) Hour hand (Short hand)(b) Minute hand (Long hand)(c) Second hand (Long and thin hand)A. Time in hourThe hour hand takes one hour to move from one number to the other number. For example, to move from 2 to 3 (big divisions) the hour hand takes one hour. So, it takes 12 hour to complete one round of the clock2 o'clock 4 o'clock 7 o'clock 11 o'clockB. Time in minutesWe already know:There are 12 big division marked on the clock. Each big division has five small divisions.Each small division stands for 1 minute.So, there are 12 × 5 = 60 small divisions.The minutes hand takes 60 minutes to complete a round of the clock.C. Time in secondThere are 12 big division marked on the clock.Each big division has five small division.Each small division stands for 1 second.So, there are 12 × 5 = 60 seconds.The second hand takes 60 seconds to complete a round of the clock.6010152025303540405055 56010152025303540405055 5
8 Acme Mathematics-33 O'clock10 minutes1. Look at the clock and write the time in the box :2. Look at the clock and write the time in minute in the box :Activity
Acme Mathematics-3 950 seconds3. Look at the clock and write the time in second in the box :Fill in the blanks:The short hand is at 5.The long hand is at 12.It is o'clock.The long hand is at 7.It is minutesThe short hand is at ......The long hand is at ......It is o'clock.The long hand is at .......It is minutes.The short hand is at ......The long hand is at .......It is o'clock.The long hand is at .......It is minutes.Classwork
10 Acme Mathematics-3The thin hand is at 8.It is seconds.The thin hand is at .......It is seconds.The thin hand is at .......It is seconds.Study the given information.12345 6 789101112o'clockhalf pastquarter pasttwenty-five pasttwenty pastten tofive totwenty-five totwenty tofive pastten pastquarter to
Acme Mathematics-3 111. Match the time with right clock.3 : 15 quarter to 44 : 30 ten to 123 : 45 half past 45 : 30 quarter past 38 : 15 quarter to 87 : 45 half past 511 : 30 fifteen past 811 : 50 half past 11Exercise 1.1
12 Acme Mathematics-32. Write the time shown by these clocks:The short hand is between 1 and 2.The long hand is at 3.It is quarter past one.The short hand is near to 9.The long hand is at 9.It is quarter to nine.The short hand is in the middle of 1 and 2.The long hand is at 6.It is half past one.
Acme Mathematics-3 133. Draw the hands to show the time:Half past 4 3 o'clock Quarter to 806 : 15 : 45 09 : 00 : 20 12 : 10 : 5020 minutes past to7 o'clock35 minutes past to 4 o'clock10 minutes to 10 o'clock20 minutes to5 o'clock5 minutes past to 3 o'clock5 minutes to 6 o'clock
14 Acme Mathematics-3Read the following relation carefully.60 seconds = 1 minute60 minutes = 1 hour24 hours = 1 dayor1 day = 24 hours1 hour = 60 minutes1 minute = 60 secondsClasswork1. Fill the boxes:1 minute = 60 seconds × 1 = 60 seconds2 minutes = 60 seconds × 2 = seconds3 minutes = 60 seconds × 3 = seconds4 minutes = 60 seconds × 4 = seconds5 minutes = 60 seconds × 5 = seconds10 minutes = 60 seconds × 10 = seconds2. Fill the boxes with correct number:1 hour = 60 minutes × 1 = 60 minutes2 hours = 60 minutes × 2 = minutes3 hours = 60 minutes × 3 = minutes4 hours = 60 minutes × 4 = minutes5 hours = 60 minutes × 5 = minutes10 hours = 60 minutes × 10 = minutesExercise 1.21. Convert into minutes:(a) 4 hours (b) 8 hours (c) 5 hours (d) 1 day2. Convert into seconds:(a) 10 minutes (b) 30 minutes (c) 40 minutes (d) 50 minutesRead the following relation carefully.24 hours = 1 day7 days = 1 week30 days = 1 month12 months = 1 year365 days = 1 year52 weeks = 1 yearClasswork1. Fill the boxes:1 day = 24 hours × 1 = 24 hours2 days = 24 hours × 2 = hours2 days make 48 hours.1.2 Relation between hour, minute and second
Acme Mathematics-3 154 hours = 60 minutes × 4 = minutes5 hours = 60 minutes × 5 = minutes10 hours = 60 minutes × 10 = minutesExercise 1.21. Convert into minutes:(a) 4 hours (b) 8 hours (c) 5 hours (d) 1 day2. Convert into seconds:(a) 10 minutes (b) 30 minutes (c) 40 minutes (d) 50 minutesRead the following relation carefully.24 hours = 1 day7 days = 1 week30 days = 1 month12 months = 1 year365 days = 1 year52 weeks = 1 yearClasswork1. Fill the boxes:1 day = 24 hours × 1 = 24 hours2 days = 24 hours × 2 = hours2 days make 48 hours.1.3 Relation between day, week, month and year
16 Acme Mathematics-33 days = 24 hours × 3 = hours4 days = 24 hours × 4 = hours5 days = 24 hours × 5 = hours10 days = 24 hours × 10 = hours2. Fill the boxes with correct number:1 week = 7 days × 1 = 7 days2 weeks = 7 days × 2 = days3 weeks = 7 days × 3 = days4 weeks = 7 days × 4 = days5 weeks = 7 days × 5 = days10 weeks = 7 days × 10 = daysA month may have 29, 30, 31 or 32 days. While converting into days we take the following :1 Week 7 Days×÷1 Month 30 Days×÷1 Year 365 Days×÷1 Year 12 Months×÷1.4 Conversion of time
Acme Mathematics-3 17Example 1 : Convert 5 months into days.1 month = 30 days5 months = 5 × 30 days = 150 daysExample 2 : Convert 7 weeks into days.1 week = 7 days7 weeks = 7 × 7 days= 49 daysExample 3 : How many days are there in 4 years?1 year = 365 days4 years = 4 × 365 days= 1460 days(b) Conversion of days into hours1 day = 24 hours2 days = 2 × 24 hours = 48 hours10 days = 10 × 24 hours = 240 hoursExample 1 : How many hours are there in 12 days?1 day = 24 hours12 days = 12 × 24 hoursSo, 12 days = 288 hoursExample 2 : Convert 15 days into hours1 day = 24 hours15 days = 15 × 24 hoursSo, 15 days = 360 hours(c) Conversion of hours into minutes1 hour = 60 minutes2 hours = 2 × 60 = 120 minutes3 hours = 3 × 60 = 180 minutesExample 1: Convert 5 hours into minutes1 hour = 60 minutes5 hours = 5 × 60 minutes= 300 minutesTo convert days into hours we multiply the number of the days by 24.To convert hours into minutes, we multiply number of hours by 60.To convert month into days, we multiply the number of months by 30.
18 Acme Mathematics-3Example 2 : Convert 8 hours into minutes1 hour = 60 minutesSo, 8 hours = 8 × 60 = 480 minutes(d) Conversion of minutes into seconds1 minute = 60 seconds2 minutes = 2 × 60 = 120 seconds3 minutes = 3 × 60 = 180 secondsExample 1 : How many seconds are there in 9 minutes?1 minute = 60 seconds9 minutes = 9 × 60 secondsSo, 9 minutes = 540 secondsClasswork1. Fill the boxes with correct number of days:1 month = 30 days × 1 = 30 days2 months = 30 days × 2 = days4 months = 30 days × 4 = days5 months = 30 days × 5 = days10 months = 30 days × 10 = days2. Fill the boxes with correct number of months:1 year = 12 months × 1 = 12 months3 years = 12 months × 3 = months4 years = 12 months × 4 = months5 years = 12 months × 5 = months10 years = 12 months × 10 = monthsTo convert minutes into seconds, we multiply number of minutes by 60.
Acme Mathematics-3 19Exercise 1.31. Convert the following days into hours:(a) 6 days (b) 7 days (c) 8 days2. Convert into days:(a) 5 weeks (b) 11 weeks (c) 20 weeks(d) 2 weeks 4 days (e) 5 weeks 3 days (f) 7 weeks 6 days3. Convert into days:(a) 3 months (b) 8 months (c) 15 months(d) 4 months 6 days (e) 6 months 8 days (f) 9 months 22 days4. Convert into days:(a) 2 years (b) 5 years (c) 9 years(d) 5 years 15 days (e) 7 years 8 days (f) 8 years 25 days5. Convert into hours:(a) 22 days (b) 121 days (c) 1 month(d) 2 days 5 hours (e) 8 days 11 hours (f) 10 days 17 hours6. Convert into weeks:(a) 2 years (b) 6 years (c) 7 years(d) 3 years 30 weeks (e) 7 years 8 weeks (f) 8 years 25 weeks7. Convert into months:(a) 2 years (b) 6 years (c) 7 years(d) 6 years 10 months (e) 4 years 4 months (f) 10 years 3 weeks8. Fill in the blanks:(a) 26 months = ........... years and ............ months(b) 10 days = ........... week and ............ days(c) 18 months = ........... years and ............ months(d) 1 year = ........... weeks(e) 1 week 5 days = ........... days.(f) 5 years 2 months = ........... months.(g) 5 weeks 2 days = ........... days.(h) 3 years = ........... days.(i) 52 weeks = ........... year.(j) 2 days = ........... hours.
20 Acme Mathematics-3In general a period of 30 days is called a month. There are 12 months in a year.Our Months1. Baisakh2. Jestha3. Ashadh4. Shrawan5. Bhadra6. Ashwin7. Kartik8. Mangsir9. Poush10. Magh11. Falgun12. ChaitraEnglish Months1. January2. February3. March4. April5. May6. June7. July8. August9. September10. October11. November12. DecemberOrder of the monthsBaishakh is the first month of our year.Jestha is the second month of our year and so on.Similarly, January is the first month of the English year.February is the second month of the English year.Look at the months of the Nepali-English calendar.Bikram Sambat (B.S) is our time1.5 Months and Years
Acme Mathematics-3 21cfOtjf/Sunday;f]djf/Mondayd+unjf/Tuesdaya'wjf/Wednesdaylalxjf/Thursdayz'qmjf/Fridayzlgjf/Saturday! @ # $ % ^& * ( !) !! !@ !#!$ !% !^ !& !* !( @)@! @@ @# @$ @% @^ @&@* @( #) #!efb| @)*# Aug/Sep 202617 18 19 20 21 2223 24 25 26 27 28 2930 31 SEPT. 1 2 3 4 56 7 8 9 10 11 1213 14 15 16 There are 4 Sundays on Bhadra 2083. There are 4 Fridays on Bhadra 2083. There is a Wednesday on September 9, 2026.More about Calendar1. The year and the names of the months are expressed differently in the Nepali calendar and in the English calendar.2. The date of a day is expressed differently in the Nepali calendar and in the English calendar.3. There are 5 Saturday on Bhadra 2081.Example 1 : Write the following date in the short form :(a) 12th September 2026 → 09/12/2026 or 12/09/2026(b) 26th Bhadra 2083 → 2083/05/26 or 26/05/2083Example 2 : Write the following date in the full form :(a) 09/17/2026 (Use English calendar)Ans: 17th September 2026(b) 2083/9/26 (Use Nepali calendar)Ans: 26th Poush, 2083
22 Acme Mathematics-3Classwork1. Write the name of the first three days of the week of our system in order:(a) ..................... (b) ..................... (c) .....................2. Answer the following questions in the box:(a) How many months are there in one year?(b) Which month comes after Jetha?(c) Which is the 7th month in the English calendar?(d) Which is the 8th month in the Nepali calendar?Exercise 1.41. Write the names of the last six Nepali months in order:(a) ..................... (b) ..................... (c) .....................(d) ..................... (e) ..................... (f) .....................2. Write the names of the first six English months in order:(a) ..................... (b) ..................... (c) .....................(d) ..................... (e) ..................... (f) .....................3. Write the following dates in the short form:(a) 30th July 1990 ............................(b) 14th April 2024 ............................(c) 5th January 2018 ............................(d) 22nd Shrawan 2081 ............................4. Write the following dates in the full form:(a) 18/03/2024 (use English calendar) ..............................(b) 08/02/2080 (use Nepali calendar) ..............................
Acme Mathematics-3 23(c) 30/08/2021 (use English calendar) ..............................(d) 15/06/2025 (use English calendar) ..............................5. Write your date of birth according to the Nepali calendar:..................................................................................................6. When do we celebrate our New Year Day?..................................................................................................7. Which day lies on the 4th of Kartik 2083...................................................................................................8. Which day is the last day of Asoj 2083...................................................................................................9. Which days are repeated 5 times on Asoj 2083...................................................................................................10. Which days are repeated 5 times on Kartik 2083...................................................................................................11. Study the calendar of 2083 B.S. and Fill in the blanks:(a) There are ........................ months from Asar to Chaitra(b) There are ....................... days from Sunday to Wednesday.(c) There are ....................... months from Chaitra to Asoj.(d) There are ....................... months from Magh to Asar.(e) There are ...................... days from 15th Asar to 20th Saun.(f) There are ...................... Mondays in Falgun.
24 Acme Mathematics-3a. Ante meridiem (a.m.) and Post meridiem (p.m.)Look at the following figures carefully.Morning Day Evening NightA day has 24 hours.A day is divided into two equal parts. 12 hours is before mid-day (noon) and 12 hours after mid-day.The time from midnight to mid-day (noon) is called Ante meridiem (a.m.).The time from mid-day to mid-night is called Post meridiem (p.m.).A day begins at mid-night and completes the next mid-night.b. Calculation of TimeThe route of micro-bus and its time is given below:Narayangarh Malekhu Naubise45 min30 min1 hour1hr 10 min45 minKathmanduMuglin GalchhiCalculating time:Places Time takenNarayangarh to Malekhu 1 hr + (45 + 10) min = 1 hr 55 minMuglin to Galchhi 1 hr + (10 + 30) min = 1 hr. 40 minMalekhu to Kathmandu 1 hr + (30 + 45) min = 1 hr + 75 min(75 min = 1 hr 15 min)Now, (1 hr + 1 hr + 15 min = 2 hr 15 minHe baths in 6:30 am.1.6 Calculation of Time
Acme Mathematics-3 25Example 1 : Hardik completed the Maths homework in 1 hour and 40 minutes, Nepali homework in 2 hour and 15 minutes. How long did he take to complete the homework?Solution : Here, the problem is related to addition of the time.So, hours minutes 1 40 Math's homework time + 2 15 Nepali's homework time 3 55Hardik took 3 hours 55 minutes to complete the homework.Example 2 : Your first period starts at 10:15 am and ends at 11:00 am. How long is your period?Solution : Here, the problem is related to subtraction.So, 11 : 00 end of period – 10 : 15 starting of periodSince we cannot subtract 15 from 00 minute. We borrow 1 hour (60 minutes) from 11.So, 10 : 60 – 10 : 15 0 : 45The first period is 45 minutes long.Classwork1. Look at the picture and write the time using a.m. or p.m. :
26 Acme Mathematics-32. Use a.m. or p.m. and write the time:I wake up at 5 : 00 a.m.I take tea at ..........................I take lunch at ..........................I go to school at ..........................I take dinner at ..........................I go to bed at ..........................Exercise 1.51. Write as morning time:Half past six 6:30 a.m.Quarter past eight ..........................Ten to eleven ..........................Quarter to ten ..........................2. Write as evening time:Twenty minutes to four 3:40 p.m.Nine thirty ..........................Six minutes to ten ..........................Quarter to eleven ..........................3. Solve the following verbal problems:(a) Our school starts at 9:45 am and closed at 3:20 pm. How long is our school time?(b) A bus starts its journey from Tandi to Kathmandu at 7:15 am. If it reaches at Kathmandu at 11:45 am, how long is the journey?(c) Raman started reading a book at 6:20 pm and finished at 10:10 pm. How long did he read?(d) Bhabana started cooking at 7:30 am and finished at 11:00 am. How long did she cook?
Acme Mathematics-3 27I am having breakfast. It is 7 o'clock.I get up early in the morning. It is 6 o'clockProject Work1. Objective : To know the time.2. Materials required: Pictures, that represents different activities and different time. Glue Scissor Colour A-4 size paper3. Activity: Collect the pictures, cut them and paste on A- 4 size paper and write the relative activity.4. An example is given below:
28 Acme Mathematics-31. Write the time.It is ........................... It is .........................2. Match the following.2 minutes 180 minutes60 seconds 1 year3 hours 120 seconds12 months 1 minute 3. Fill in the blanks.(a) Second hand takes ................. round to make 1 minute.(b) Hour hand takes .................. round to make 24 hours.(c) Minute hand makes 60 minutes in ............. round.4. Tick () the correct and cross (×) the wrong.(a) There are 30 days in a month.(b) Friday is the 6th day of the week.(c) There are 84 days in 10 weeks.(d) Chaitra is the last month of the year.(e) There are 3 months from Bhadra to Kartik.Mixed Exercise
Acme Mathematics-3 295. Change into hours: 4 days 20 hours6. Change into days: 3 weeks and 3 days7. Change into months: 5 years and 5 months8. Study the given calender and answer the question given below.cfOtjf/Sunday;f]djf/Mondayd+unjf/Tuesdaya'wjf/Wednesdaylalxjf/Thursdayz'qmjf/Fridayzlgjf/Saturday#! ! @# $ % ^ & * (!) !! !@ !# !$ !% !^!& !* !( @) @! @@ @#@$ @% @^ @& @* @( #);fpg @)*# Jul/Aug 202616 17 1819 20 21 22 23 24 2526 27 28 29 30 31 Aug 12 3 4 5 6 7 89 10 11 12 13 14 15(a) Which day is 14th Saun?(b) Which days are repeated 5 times?(c) Which dates are Saturdays?(d) Which day is 5, 12,19 and 26?
30 Acme Mathematics-3OUR COMMUNITY THEME22.1 Order of number 2.2. Fraction. - Recognizing and shading the fraction - Comparison of fraction - Fraction of group of of objects 2.3 Measurement of Length - Meter and Centimeter - Conversion of measurementWeightage : 27
Acme Mathematics-3 31Help Shiwangi to go to the 'Danda Kalika' temple by writing these numbers in the increasing order.116, 192, 126, 138, 169, 143, 172, 184, 170, 100How far is the temple, Shiwangi?Increasing order is also called ascending order.100116169126170138172143184192ActivityOrder of Number 2.1
32 Acme Mathematics-3Help Shiwangi to go down from the 'Danda Kalika' temple by writing these numbers in the decreasing order.261, 229, 283, 296, 231, 241, 273, 248, 209, 200Decreasing order is also called descending order.200Activity
Acme Mathematics-3 331. Tick the increasing order of the numbers.(a) 27, 29, 30 (b) 18, 16, 19 (c) 29, 29, 29(d) 110, 100, 120 (e) 219, 220, 221 (f) 330, 329, 332(g) 450, 460, 470 (h) 572, 582, 590 (i) 492, 494, 4962. Write in increasing order.312, 280, 310, 350264, 261, 269, 267196, 194, 192, 188448, 414, 437, 400350312310280Classwork
34 Acme Mathematics-31. Tick the decreasing order of the numbers.(a) 210, 209, 208 (b) 19, 16, 20 (c) 57, 76, 67(d) 321, 223, 124 (e) 525, 234, 243 (f) 131, 219, 313(g) 270, 630, 540 (h) 327, 328, 329 (i) 482, 481, 4792. Write in decreasing order.430, 480, 440, 400278, 298, 275, 284492, 487, 496, 497564, 560, 567, 556480440430400Exercise 2.1
Acme Mathematics-3 353. Write true or false.(a) 441 is after 440.(b) 427 is before 425.(c) 455 is after 445.(d) 445 is after 444.(e) Car is before boy.(f) Boy is in between car and bicycle.(g) Car is after boy.(h) 327 is in between the number 326 and 328(i) The number in between 455 and 457 is 456.(j) The number 580 is left to 581.(k) The number 584 is right to 583.4. Fill in the blanks.384 385 386 387 388 389 390 391 392 393 394 395 396 397 398(a) The numbers between 390 and 394 are ........................................(b) The number after 386 is ...............(c) The number before 398 is ............(d) The number in between 394 and 396 is ............(e) The number middle to 389 and 391 is ............5. Complete the number line.386 389 392 396 400437 440before afterinbetween438 439 441 442 443 444 445577 578 579 580 581 582 583 584
36 Acme Mathematics-38. Make the largest and the smallest 4-digit numbers from the given digits:Digits Largest Smallest(a) 5, 4, 7, 3 7543 3457(b) 3, 2, 4, 8(c) 7, 3, 4, 9(d) 3, 4, 9, 5(e) 2, 6, 8, 7(f) 1, 4, 8, 9(g) 3, 6, 9, 8(h) 6, 8, 1, 79. Arrange the following numbers in ascending (increasing) order:Smallest to largest.(a) 3678, 3821, 3576, 3216(b) 5974, 5251, 5319, 5825(c) 6847, 6548, 6124, 6487(d) 2189, 2919, 2019, 200910. Arrange the following numbers in descending (decreasing) order:(a) 8218, 8182, 8318, 8183(b) 7488, 7608, 7814, 7384(c) 4319, 4318, 4219, 4919(d) 9189, 9919, 9019, 9009Less than < ?32163576367838218318821881838182
Acme Mathematics-3 37A. Recognising and shading the fractionWhat is fractions?A fraction is a part of a whole(a) HalfSilu and Kalpana shared an apple. They divided it into 2 equal parts. Each part is called a half. Two halves make a whole. A half is written as : 11 22 + 12 = 11212(b) One-fourthRoja, Jyoti, Nanu and Ramu wanted to divide a big chocolate into 4 equal parts. Each part is called a quarter or one-fourth. Four quarters make a whole. A quarter is written as : 1414 + 14 + 14 + 14 = 114141414(c) Three-fourthLook at the circle in the right. It is divided into 4 equal parts. 3 out of 4 equal parts are shaded. So, three-fourth of the circle is shaded.This is written as 34. Three-fourth is also called threequarters.Thus, 34 = Total number of shaded partsTotal number of parts(d) One-thirdI want only part of the \"Apple\".You mean, you want a fraction of the apple.34 is shadedFraction 2.2
38 Acme Mathematics-3ActivityCan you divide the given pizza among Kushal, Ritesh and Kiran?Take a rectangular shape of paper/chocolate. Try it to fold 2 times. Try it to make 3 equal parts. The first part is for Kushal. The second part is for Ritesh. The third part is for Kiran.One-third is written as 13 and read as 'one by three'.Kushal, Ritesh and Kiran wanted to divide a pizza into 3 equal parts. Each part is called one-third. Three one-thirds make a whole. Onethird is written as: 1313 + 13+ 13 = 1131313Each part is one-third of chocolate.
Acme Mathematics-3 39(e) Two-thirdLook at the shaded parts in the figure. 2 out of 3 equal parts are shaded. So, two-third of the figure is shaded.This is written as 23. It is also called two-third.Thus, 23 = Total number of shaded partsTotal number of partsClasswork1. Colour one-fourth of each:2. Match the following:(a) two-third 13(b) three-fourth 12(c) One-half 14(d) One-fourth 23(e) One-third 343. Write the fraction for the shaded part in each picture:23 is shaded23 is read as, two upon three.
40 Acme Mathematics-314Exercise 2.21. Shade half 12 of each of the following:12122. Shade one third 13 of each of the following:1313133. Shade one-fourth 14 of each of the following:141414144. Write the shaded part in fraction:
Acme Mathematics-3 415. Tick the shapes whose one-fourth part is shaded:6. Tick the shapes whose Two-fourth part is shaded:7. Tick the shapes whose three-fourth part is shaded:8. Divide the given figure in two equal parts and colour one-half of each figure:9. Colour one-third of each figure:
42 Acme Mathematics-310. Colour one-fourth of each figure:B. Comparison of FractionsStudy the following shaded part of the fractions:1 (whole) is shaded12 is shaded13 is shaded14 is shaded23 is shaded34 is shadedFrom the above fractions,1 is the largest of all fractions.1214132312 is greater than 1323 is greater than 13
Acme Mathematics-3 43Exercise 2.31. Match the following:(a) 23one third(b) 13three fourth(c) 34two third(d) 14one fourth(e) 12half2. Compare the shaded part of fraction and put symbol of greater than (>) or Less than (<) in the box.(a) 1434(b) 2313(c) 2434(d) 1222< <
44 Acme Mathematics-3C. Fraction of Group of Objects12 ball of the group of 6 balls6 balls 12 is circled3 balls are circled12 of 6 = 312 ball of the group of 10 balls10 balls 12 is circled5 balls are circled12 of 10 = 53. Compare the shaded part of fraction and put symbol of greater than (>) or less than (<) in the box.(a) 1412(b) 1324(c) 2334(d) 1234(e) 1213(f) 2314
Acme Mathematics-3 4513 ball of the group 15 balls15 balls 13 is circled5 balls are circled13 of 15 = 514 ball of the group of 12 balls12 balls 14 is circled3 balls are circled14 of 12= 3Classwork1. Draw a circle to show the given fraction:13141223
46 Acme Mathematics-33412143423142313Exercise 2.41. Circle the fraction of group of the objects and write in the number:(a)12 of 10 = ............(b)12 of 6 = ............
Acme Mathematics-3 47(c)14 of 12 = ............(d)12 of 32 = ............2. Circle the 13 of the objects and write in the number:(a)13 of 6 = ............(b)13 of 9 = ............(c)13 of 15 = ............(d)13 of 21 = ............3. Circle the fraction of group of the objects and write in the number:(a)14 of 8 = ............(b)14 of 12 = ............(c)14 of 16 = ............(d)14 of 4 = ............
48 Acme Mathematics-314141414 121214 + 14 + 14 + 14 = 14 quarters make whole.12 + 12 = 12 halves make whole.Project Work1. Objective : To know about half 12 and quarter 14 .2. Materials required: A-4 size paper Scissors Glue Card board Colours3. Activity: Make different shapes on the card board. Cut them and divide them into half or quarters in different ways. Colour them and paste on A-4 size paper.4. An example is given below:
Acme Mathematics-3 49Activity1. Estimate the nearest meters or centimeters and write the length.(a) length of your hand span ..................(b) length of your desk .................(c) length of your foot span ...............(d) length of your cubit. ...................(e) thickness of your cupboard ................(f) length of study table .................2. Use your logic and tick () mark the unit.cm m cm mLength of house Height of treeLength of bus Length of brickcm m cm mLength of Telephone set Length of bookcm m cm mWe use scale or measuring tape to measure the length.2.3 Measurement of Length
50 Acme Mathematics-3Classwork1. Measure the following objects and write either in centimeter (cm) or meter (m):The length of your pencil . ________The length of your glass. ________The length of a book. ________The length of your leg. ________The height of your little finger. ________The length of your TV screen. ________2. Measure these lines and write the measurement in the circle:____________________________ cm____________ mm________________________ cm________________________________ cm_________ mmA. Meter and centimeter0 cm0 inch 6 5 4 3 2 11 2 3 4 5 6 7 8 9 10 11 12 13 14 15We use ruler or measuring tape to measure the length.We measure short length in centimeters. For examples, a small piece of cloth, length of a pencil, etc Long lengths are measured in meters. It is the standard unit of length. For example, length of a blackboard, height of a house, etc.