Acme Mathematics 2 1Approved by the Government of Nepal, Ministry of Education, Science and Technology, Curriculum Development Centre, Sanothimi, Bhaktapur as an additional material.Please scan forE-book
2 Acme Mathematics 2Publisher : 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 2 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 21.1 Comparing the capacity of like objects 1.2 Estimation of capacity1.3 Measuring pot and its capacity7.1 Revision7.2 Number upto 3 digits7.3 Place value chart of 3 digits number7.4 Devnagari numbers7.5 Numbers upto 4 digitsTheme 1 : Me And My Family (7 hours) 5Theme 7 : Number System (20 hours) 110Theme 4 : Our School (4 hours) 57Theme 2 : My Daily Life (6 hours) 13Theme 8 : Basic Operations (48 hours) 155Theme 5 : My Creation (8 hours) 83Theme 3 : Our Community (16 hours) 29Theme 6 : Communication, Technology and Market (12 hours) 96Content2.1 Reading the Clock2.2 Reading the Calendar8.1 Addition of Numbers8.2 Subtraction of Numbers8.3 Multiplication8.3 Division3.1 Order of Number3.2 Odd and Even Number3.3 Weight4.1 Area4.2 Fraction4.3 Distance6.1 Money6.2 Pictograph5.1 Geometrical Shape5.2 Triangle, Quadrilateral and Circle
Acme Mathematics 2 51.1 Comparing the capacity of like objects 1.2 Estimation of capacity1.3 Measuring pot and its capacity (Liter and milliliter)ME AND MYFAMILYTHEME1 Working Hour : 7Capacity
6 Acme Mathematics 2Circle ( ) the one that holds less, tick () the one that holds more.1.1 CapacityActivity
Acme Mathematics 2 7Tick () the object which holds more.Look at these measures :We use standard measuring pots to measure the capacity.Pathi ManaLook and learn :A glass holds less than a bucket.The capacity of glass is less than the capacity of bucket.A bucket holds more than a glass100 ml100 ml250 ml250 ml500 ml500 ml1 liter1 literActivity
8 Acme Mathematics 21. Circle the pot that contains more:Bucket Bucket BucketCup Cup CupJug Jug Jug2. Write in order (more to less) according of their capacity:3. Guess the capacity of the following objects and tick () in the box.Objects Less than 1 cup More than 1 cupClassworkFirst
Acme Mathematics 2 9Objects Less than 1 cup More than 1 cupA. Measuring the capacityThe milkman uses liters jug to measure milk.We use mugs like this to measure water.1 LiterIn shop you can find oil or milk packets like these.It is used to measure liquid like; oil or petrol. 1 LiterThese are all 1 liter (l) containers.100 ml 200 ml 500 ml 1 l
10 Acme Mathematics 2Exercise1. Guess the capacity of each pot and put a circle on the appropriate guess:100 glass 15 glass 2 glass 10 glass 5 glass 1 glassA bucket of water A jug of water A kettle of hot water150 glass 50 glass 4 glass 1 glass 100 glass 5 glassA jar of water A bottle of water A gallon of water2. Look at the pots given below. Guess their capacity and write in order (less to more):.................... .................... Water .................... ....................
Acme Mathematics 2 11................................................................................................................................................................3. Guess how many will fit in the following.(a) a jug ............... glasses.(b) a Dekchi ............... glasses.(c) a bucket ............... glasses.(d) a Gagri ............... glasses.
12 Acme Mathematics 2____________............. tea cup ............. tea cup1. Tick the vessel that contains more liquid.3. Guess the capacity of the following vessels.2. Name the vessel that contain less liquid.5. Arrange the vessels in increasing order of their capacity.6. Arrange the vessels in decreasing order of their capacity.Increasing Ordera. ..................................b. ..................................c. ..................................Decreasing Ordera. ..................................b. ..................................c. ..................................Mixed Exercise
Acme Mathematics 2 13MY DAILY LIFE THEME2 Working Hour : 6 2.1 Reading the Clock - Time in hour - Time in hour and minute 2.2 Reading the Calendar - Year, month, day - Date of the dayJetha 2083Sun Mon Tue Wed Thu Fri Sat31 1 23 4 5 6 7 8 910 11 12 13 14 15 1617 18 19 20 21 22 2324 25 26 27 28 29 30
14 Acme Mathematics 2O'clockO'clockO'clockO'clockO'clockO'clockO'clockO'clockO'clockO'clockO'clockO'clockStudy the given clock.• Short hand represents hour. • Long hand represents minute.• Long and thin hand represent second.It is 9 o'clock.2.1 Time
Acme Mathematics 2 1523 O'clockLook at the clock and write the time in the box :Activity
16 Acme Mathematics 2Fill in the blanks:The short hand is at 4.The long hand is at 12.It is o'clock.The short hand is at ......The long hand is at ......It is o'clock.The short hand is at ......The long hand is at .......It is o'clock.The short hand is at .....The long hand is at ......It is o'clock.The short hand is at ......The long hand is at ......It is o'clock.The short hand is at ......The long hand is at .......It is o'clock.The short hand is at .....The long hand is at ......It is o'clock.The short hand is at ......The long hand is at ......It is o'clock.The short hand is at ......The long hand is at .......It is o'clock.Classwork
Acme Mathematics 2 171. Write the time shown by these clocks:• When we say \"quarter past\"?• When we say \"quarter to\"?The short hand is between 1 and 2.The long hand is at 3.It is quarter past one.Tick! Tick! Tick!It's quarter past one.Study the given information and try to understand about the time.12345 6 789101112o'clockhalf pastquarter pasttwenty-five pasttwenty pastten tofive totwenty-five totwenty tofive pastten pastquarter toExercise 2.1Activity
18 Acme Mathematics 22. Draw the hands to show the time:Half past 3 2 o'clock Quarter to 2The short hand is in the middle of 1 and 2.The long hand is at 6.It is half past one.The short hand is near to 9.The long hand is at 9.It is quarter to nine.Half-past one!It is Time for 'tiffin'Quarter to 9! It's getting late!
Acme Mathematics 2 198 o'clock Half past 8 Quarter past 8Quarter past 10 10 o'clock Half past 612 o'clock Quarter to 6 6 o'clockHalf past 2 Quarter past 5 Quarter to 9
20 Acme Mathematics 23. Fill in the blanks.eat breakfast get up go to bedgo to school go home take a shower(a) What time do you .................................... ?I .................................... at ............ o'clock.(b) What time do you .................................... ?I .................................... at ............ o'clock.(c) What time do you .................................... ?I .................................... at ............ o'clock.(d) What time do you .................................... ?I .................................... at ............ o'clock.(e) What time do you .................................... ?I .................................... at ............ o'clock.(f) What time do you .................................... ?I .................................... at ............ o'clock.
Acme Mathematics 2 214. Match the time.3 : 15 quarter to 44 : 30 ten past 123 : 45 half past 45 : 30 fifteen past 38 : 15 quarter to 87 : 45 half past 511 : 30 fifteen past 812 : 10 half past 11
22 Acme Mathematics 2A. Months of the year (Our Months)Look at the following calendar.Jetha 2083Sun Mon Tue Wed Thu Fri Sat31 1 23 4 5 6 7 8 910 11 12 13 14 15 1617 18 19 20 21 22 2324 25 26 27 28 29 30Look at the above calendar and fill in the blanks :Which year is written on the calendar ? ..................Which day is the 12th day of the month ? ..................How many Fridays are there in the month ? ..................How many Sundays are there in the month ? ..................On which day does this month begin ? ..................Which day is the last day of the month ? ..................How many months are there in a year ? ..................Which month comes after Kartik ? ..................Which month comes before Jetha ? ..................Months of a Year1. Baishakh2. Jetha3. Asar4. Shrawan5. Bhadra6. Asoj7. Kartik8. Mangsir9. Poush10. Magh11. Falgun12. ChaitraClasswork2.2 Calendar
Acme Mathematics 2 23B. Days and WeeksDAYS AND WEEKSA period of 24 hours, starting from 12 o'clock at night is called a day.Thus, 1 day = 24 hours.A week has seven days.Thus, 1 week = 7 daysThe first day of the week is Sunday and the seventh day of the week is Saturday.MONTHS AND YEARSA period of 30 days is called a month. There are 12 months in a year.Our Months1. Baisakh2. Jetha3. Asar4. Shrawan5. Bhadra6. Asoj7. Kartik8. Mangsir9. Poush10. Magh11. Falgun12. ChaitraEnglish Months1. January2. February3. March4. April5. May6. June7. July8. August9. September10. October11. November12. DecemberEnglish Days1. Sunday2. Monday3. Tuesday4. Wednesday5. Thursday6. Friday7. Saturday
24 Acme Mathematics 21. Study the given calendar and answer the given questions:a}zfv @)*#SUN MON TUE WED THU FRI SAT1 2 3 4 56 7 8 9 10 11 1213 14 15 16 17 18 1920 21 22 23 24 25 2627 28 29 30 31c;f/ @)*#SUN MON TUE WED THU FRI SAT1 2 3 4 5 67 8 9 10 11 12 1314 15 16 17 18 19 2021 22 23 24 25 26 2728 29 30 31 32h]7 @)*#SUN MON TUE WED THU FRI SAT31 1 23 4 5 6 7 8 910 11 12 13 14 15 1617 18 19 20 21 22 2324 25 26 27 28 29 30;fpg @)*#SUN MON TUE WED THU FRI SAT31 1 23 4 5 6 7 8 910 11 12 13 14 15 1617 18 19 20 21 22 2324 25 26 27 28 29 30(a) What day is the first of Baisakh? ...........................(b) How many days are there in Jetha? ...........................(c) Which month comes after Ashad? ...........................(d) Which is the third day of Shrawan? ...........................(e) Which days are circled in the calendar? ...........................(f) Write the names of first the three months. ...........................(g) When is your school's anniversary day? ...........................2. Fill in the blanks:(a) Baishakh 17 is ........................... (day)(b) Your school's new session started in ........................... (month)(c) Today is ........................... (day/month)(d) My birthday is in the month of ...........................Exercise 2.2
Acme Mathematics 2 253. Study the given calendar and answer the given questions:JANUARY2026FEBRUARY MARCHSu Mo Tu We Th Fr Sa1 2 34 5 6 7 8 9 1011 12 13 14 15 16 1718 19 20 21 22 23 2425 26 27 28 29 30 31Su Mo Tu We Th Fr Sa1 2 3 4 5 6 78 9 10 11 12 13 1415 16 17 18 19 20 2122 23 24 25 26 27 28Su Mo Tu We Th Fr Sa1 2 3 4 5 6 78 9 10 11 12 13 1415 16 17 18 19 20 2122 23 24 25 26 27 2829 30 31(a) What day is the first of January? ...................(b) How many days are there in February? ...................(c) Which month comes after March? ...................(d) Which is the third day of February? ...................(e) Which day is March 17? ...................4. Study the given pictures and guess the time:It is ....................... It is ....................... It is .......................It is ....................... It is ....................... It is .......................
26 Acme Mathematics 21. Fill in the blank.a. The short hand represents .......................... in a clock.b. The long hand represents ............................ in a clock.c. The long and thin hand represents ........................ in a clock.2. Write the time.____________ ____________ ____________3. Match the following:8:158:3512:104:30My Daily LifeMixed Exercise
Acme Mathematics 2 274. Draw 'hands' according to the given time.6 : 15 3:30 10:555. Write your schedule time for the following:Wake up time .....................Lunch time .....................Leaving for school time .....................Doing homework time .....................Sleeping time .....................
28 Acme Mathematics 26. Study the calendar and answer the question given below.a. Which month is in the calendar?b. How many days are there in the month?c. How many Mondays are there in the month?d. Fill in the box.Fridayut] tfl/vcfOtjf/Sunday;f]djf/Mondayd+unjf/Tuesdaya'wjf/Wednesdaylalxjf/Thursdayz'qmjf/Fridayzlgjf/Saturday! @ #$ % ^ & * ( !)!! !@ !# !$ !% !^ !&!* !( @) @! @@ @# @$@% @^ @& @* @( #) #!c;f]h @)*# g]=;+= !!$% Sept./Oct. 202617 18 1920 21 22 23 24 25 2627 28 29 30 1 2 34 5 6 7 8 9 1011 12 13 14 15 16 17@ 18
Acme Mathematics 2 29OUR COMMUNITYTHEME3 Working Hour : 163.1 Order of Number3.2 Odd and Even Number3.3 Weight–Relation between gram and kilogram44, 80 61, 97Even Numbers Odd Numbers
30 Acme Mathematics 2How far is the temple, Kushal?Increasing order is also called ascending order.Help Kushal to go to the 'Danda Kalika' temple by writing these numbers in the increasing order.16, 92, 26, 38, 69, 43, 72, 84, 7, 1007Activity3.1 Order of the Numbers
Acme Mathematics 2 31Help Kushal to go down from the 'Danda Kalika' temple by writing these numbers in the decreasing order.61, 29, 83, 96, 31, 41, 73, 48, 9, 100Decreasing order is also called descending order.100Activity
32 Acme Mathematics 2A. Increasing and decreasing order of numbersRearrange these numbers in increasing order:124, 128, 120, 115, 130Rearrange these numbers in decreasing order:124, 128, 120, 115, 130115Increasing order is : 115, 120, 124, 128, 130Decreasing order is : 130, 128, 124, 120, 115120 124 128 130130 128 124 120 115Increasing means go higher and higher.Decreasing means go down.
Acme Mathematics 2 331. Tick the increasing order of the number.(a) 7, 9, 10 (b) 8, 6, 9 (c) 9, 9, 9(d) 11, 10, 12 (e) 19, 20, 21 (f) 30, 29, 32(g) 50, 60, 70 (h) 72, 82, 90 (i) 92, 94, 962. Write in increasing order.32, 28, 31, 3564, 61, 69, 6796, 94, 92, 8848, 41, 37, 4035323128Exercise 3.1
34 Acme Mathematics 23. Tick the decreasing order of the number.(a) 10, 9, 8 (b) 9, 6, 10 (c) 7, 7, 7(d) 21, 22, 14 (e) 25, 24, 23 (f) 31, 29, 33(g) 70, 60, 50 (h) 27, 28, 29 (i) 82, 81, 794. Write in decreasing order.43, 48, 44, 4078, 98, 75, 8492, 87, 96, 9764, 60, 67, 5648444140
Acme Mathematics 2 355. Rearrange the following numbers in the increasing order :(a) 89, 98, 87, 78 78, 87, 89, 98(b) 100, 104, 128, 140 (c) 245, 254, 284, 219 (d) 362, 327, 382, 350 6. Rearrange the following numbers in the decreasing order :(a) 53, 64, 21, 42 64, 53, 42, 21(b) 403, 454, 440, 434 (c) 570, 583, 588, 538 (d) 862, 897, 881, 891 7. Study the number line and fill the missing numbers.715 716 ....... 718 ....... ....... 721 ....... ....... 724Now fill in the blanks.a. The number 2 more than 715 is ....................b. The number 2 less than 724 is ....................c. The number between 716 and 718 is ....................d. The number left to 723 is ....................e. The number right to 720 is ....................f. The numbers between 715 and 719 are ....................g. The numbers 715, 716 and 717 are left to 718. The numbers 719, 720 and 721 are .................... 718.h. The numbers 719, 720, 721 are right to 718. So, they are ........ 718.
36 Acme Mathematics 2Study and learn.Which is greater? Compare 86 and 79.The digit at tens place in 86 is 8.The digit at tens place in 79 is 7.Since 8 > 7So, 86 > 79Thus, 86 is greater than 79.Which is smaller? Compare 64 and 91.The digit at tens place in 64 is 6.The digit at tens place in 91 is 9.Since 6 < 9So, 64 < 91Thus, 64 is smaller than 91.Which is equal to? Compare 75 and 75.The digit at tens place in 75 is 7.The digit at tens place in 75 is 7.7 = 7The digit at ones place in 75 is 5.The digit at ones place in 75 is 5.Since 7 = 7 and 5 = 5So, 75 = 75. Thus, 75 is equal to 75.6 4 9 16<98 6 7 98>77 5 7 57=75=5B. Comparing numbers using the symbols <, =, >
Acme Mathematics 2 37Tens OnesTens Ones Tens OnesTens OnesTens OnesTens OnesTens OnesTens OnesTens Ones Tens OnesExercise 3.21. Count the abacus. Write 'is greater than' or 'is smaller than'.
38 Acme Mathematics 22. Use > or < in the boxes.>3. Put the correct symbol >, < or, =.75 81 86 57 42 1258 58 66 87 82 8275 35 16 18 28 2280 81 59 95 61 674. Insert the sign >, = or < in each box:527 > 526 669 < 670769 762 848 884961 967 950 905883 889 729 727683 624 617 911
Acme Mathematics 2 39Make pairs of 2 and fill in the boxes.Grouping Number Perfect PairsEven or odd1 No Odd2 Yes Even345678910The numbers 2, 4, make perfect pair. These are even numbers.The numbers 1, 3, ...... make no prefect pair. These are odd numbers.Activity3.2 Odd and Even Number
40 Acme Mathematics 2Classwork1. Count from the first and end at the second and circle the number at the second. Repeat the process.21 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 502. Fill in the table with the \"circled numbers\" from the question number 1.22 24The numbers 22, 24 ................, are 'even numbers'.3. Fill in the table the \"remaining numbers\" from question number 1.21 23The numbers 21, 23 ................, are 'odd numbers'.Exercise 3.31 Write E for even numbers and O for odd numbers in the blanks:(a) 3 ........... (b) 4 ........... (c) 12 ...........(d) 19 ........... (e) 20 ........... (f) 11 ...........(g) 9 ........... (h) 13 ........... (i) 10 ...........(j) 17 ........... (k) 6 ........... (l) 14 ...........
Acme Mathematics 2 412. Encircle the odd number in each row:(a) 45 40 52 10(b) 84 20 28 69(c) 118 135 128 136(d) 266 240 244 2453. Encircle the even number in each row:(a) 51 65 55 56(b) 85 98 69 81(c) 353 375 363 376(d) 431 484 447 4374. Write even or odd for the encircled digits:(a) 3 6 7 (b) 5 3 2 (c) 1 3 5(d) 7 5 9 (e) 6 3 6 (f) 4 6 85. Fill in the blanks with the even numbers up to 888.850 8526. Fill in the blanks with the odd numbers up to 559.521 523
42 Acme Mathematics 2Collect bags, books, pencils, chalk, dusters, etc. from the class room. Estimate their weights with your hands and tell and write which is heavy or light.a. Book and Copyheavy : ....................... light : .............................b. Book and Bagheavy : ....................... light : .............................c. Iron and Fanheavy : ....................... light : .............................d. Table and Benchheavy : ....................... light : .............................e. Mug and Cupheavy : ....................... light : .............................Activity3.3 Weight
Acme Mathematics 2 431. Circle the light animal.2. Circle the heavy animal.f. Chalk and dusterheavy : ....................... light : .............................g. Pencil and chalkheavy : ....................... light : .............................Classwork
44 Acme Mathematics 23. Tick () the heavier object:A book A pen A pencil A knifeA basketball A tennis ball A deer A rabbitScissors An eraser An elephant A cowA pumpkin An orange A bicycle A car
Acme Mathematics 2 45Common balanceSpring balance50 gm1 kg 2 kg 5 kg 10 kg100 gm 200 gm 500 gmAnalog balanceDigital balanceThe shopkeeper weighs goods in kilograms (kg) and grams (g).Instruments used for weighing
46 Acme Mathematics 2Measuring weightA balance helps to compare weights.These apples weigh 1 kilogram.Kilogram is the standard unit of weight.Light objects are weighed in gram (g).To find out how heavy an object is, we must find its weight. We can weigh an object with the help of a balance or a weighing machine. We measure weight in grams and kilograms.1 kg1 kilogram = 1000 grams1 kg1 kilogram = 1000 gramOr1 kg = 1000 g
Acme Mathematics 2 47Read the weighing scale on each of the following and write the weight.100g200g300g400g 500g600g700g800g900g 0g 100g200g300g400g 500g600g700g800g900g 0g100g200g300g400g 500g600g700g800g900g 0g100g200g300g400g 500g600g700g800g900g 0g100g200g300g400g 500g600g700g800g900g 0g100g200g300g400g 500g600g700g800g900g 0g100g200g300g400g 500g600g700g800g900g 0g100g200g300g400g 500g600g700g800g900g 0g100g200g300g400g 500g600g700g800g900g 0g..........................................................................................................................................................................................................................................Classwork
48 Acme Mathematics 21. Guess the weight and match the following.700 g80 g100 g200 g150 g275 g120 g20 g950 g80 gExercise 3.4
Acme Mathematics 2 492. Read and write the weight of each object and write it on the blanks.100g200g300g400g 500g600g700g800g900g 0g100g200g300g400g 500g600g700g800g900g 0g100g200g300g400g 500g600g700g800g900g 0g100g200g300g400g 500g600g700g800g900g 0g100g200g300g400g 500g600g700g800g900g 0g100g200g300g400g 500g600g700g800g900g 0g100g200g300g400g 500g600g700g800g900g 0g100g200g300g400g 500g600g700g800g900g 0g100g200g300g400g 500g600g700g800g900g 0g............ g............ g............ g............ g............ g............ g............ g............ g............ g
50 Acme Mathematics 23. Look at the following scales and fill the blanks with heavier than, lighter than or the same as.Burger is ........................... fruits.Apple is ........................... orange.Books are ........................... lamp.Apple is ........................... bag.Ball is ........................... glass.Jug is ........................... lamp.