Acme Mathematics-4 201Example 5 : Two ropes are 3 m 48 cm and 4 m 80 cm long. How long will the rope be if they are put together?Solution : Here, this problem is related to addition.So,The rope is 8 m 28 cm long.Example 6 : From a roll of a cloth 20 m 75 cm long, a piece of cloth 3 m 80 cm is taken. How much is left in the roll?Solution : Here, this problem is related to subtractionSo,Classwork1. Find the total distance between A and D.2. Study the given map of road and answer given questions:m cm3 48+ 4 807 128+ 1 – 1008 28m cm19 175– 3 8016 95m cm20 75– 3 8016 m 95 cm is left in the roll.4 km 4 00 m2 km 700 mDCBA1 km 200 mNarayangarhRampurTandi 5 km Bharatpur2 km10 km11 km6 km62 kmSaurahaHetaudaRamnagar
202 Acme Mathematics-4(a) How far is Bharatpur from Ramnagar?(b) How far is Sauraha from Bharatpur?(c) Calculate the distance between Narayangarh and Hetauda?(d) How far is Tandi from Rampur?Exercise 3.71. Add the following:(a) cm mm12 9+ 5 7(b) cm mm92 6+ 3 5(c) cm mm19 75+ 25 25(d) cm mm109 90+ 203 80(e) cm mm18 400+ 9 700(f) cm mm302 973+ 701 523(g) km m cm16 253 59+ 28 855 65(h) km m cm98 973 72+ 100 600 502. Subtract the following:(a) cm mm12 2– 7 7(b) cm mm20 4– 13 8(c) cm mm25 78– 6 90(d) cm mm58 03– 16 75(e) cm mm9 273– 2 750(f) cm mm14 111– 7 234
Acme Mathematics-4 203(g) km m cm12 200 19– 6 195 23(h) km m cm29 119 25– 20 222 783. Solve the following word problems:(a) My Maths book is 23 cm 4 mm long and English book is 22 cm 6 mm long. Find the total length of the two books.(b) Manju walks 3 km 400 m in the morning and 4 km 800 m in the evening. How much does she walk in a day?(c) My school is 3 km 300 m far from my house and my best friend's house is 2 km 823 m far from the school. How much distance should I travel, if I want to go my friend's house through the school from my house?(d) A rubber is 2 m 20 cm long. When it is stretched, it is 2 m 75 cm long. How much is its stretched length?(e) There is 50 m 35 cm long cloth, 27 m is used for uniforms. How long cloth is left?(f) A road 200 km 500 m is to be constructed. If 125 km 600 m is constructed by the public labour effort, how much is left for the construction?
204 Acme Mathematics-43.4 CapacityWarm Up Test1. Study the following objects, guess their capacity in milliliter (ml) and fill in the blanks.(a) .............................................................................................................................................................(b) .............................................................................................................................................................(c) .............................................................................................................................................................(d) .............................................................................................................................................................(e) .............................................................................................................................................................2. Which is heavier?(a) ....................................This packet contains 800 ml.Its capacity is 800 ml.
Acme Mathematics-4 205(b) ....................................1. Conversion of capacityThe amount of liquid that an object holds into it is called the capacity.Different object has different size.Different sizes hold different capacity.Liter and milliliter are the units of capacity.1 liter (l) = 1000 milliliters (ml)1000 (ml) = 1 lExample 1 : Convert 4 liter into milliliters.Solution : Here, 1 liter = 1000 ml4 liter = 4 × 1000 ml= 4000 mlExample 2 : Convert 8000 ml into liter.Solution : Here, 1000 ml = 1l8000 ml = (8 × 1000) ml= 8 × 1 liter = 8 literExample 3 : Convert 5l 712 ml into ml.Solution : Here, 1l = 1000 ml5l = 5 × 1000 ml = 5000 ml5l 712 ml = 5000 m + 712 ml= 5712 mlExample 4 : Convert 1800 ml into l and ml.I know! It is the same as kg and g.l ml÷ 1000× 1000 5000 ml + 712 ml 5712 ml
206 Acme Mathematics-4Solution : Here, 1000 ml = 1 liter1800 ml = (1800 ÷ 1000) literNow,Therefore, 1800 ml = 1l 800 ml2. Addition and subtraction of capacityLook at the given example carefully and collect the idea about addition and subtraction.Example 5 : Add: 5l 200 ml and 7l 950 mlSolution : Here,Example 6 : Subtract 13 l 500 ml from 17 l 425 ml.Solution : Here,Hence, It is 3 l 925 ml.Classwork1. Fill in the blanks.(a) 2 l = ........... ml (b) 3 l = ........... ml(c) 3000 ml = ........... l (d) 5000 ml = ........... l(e) 1 l 200 ml = ........... ml (f) 2 l 700 ml = ........... ml(g) 5 l 15 ml = ........... ml (h) 7 l 9 ml = ........... ml(i) 2345 ml = ........... l ........... ml(j) 3047 ml = ........... l ........... mlIt is literIt is ml 1000 ) 1800 (1 – 1000 800 l ml 5 200+ 7 95012 1150+ 1 – 100013 150 Hence, It is 13 l 150 ml.1150 ml = 1000 ml + 150 ml = 1 Liter 150 mll ml17 425– 13 500l ml16 1425– 13 5003 925redefined
Acme Mathematics-4 2072. Fill in the blanks:Total liter ml400 ml + 700 ml 1100 ml 1 100493 ml + 830 ml565 ml + 913 ml973 ml + 875 ml1000 ml + 300 ml811 ml + 973 mlExercise 3.101. Guess the capacity in l and ml.(a) (b) (c)........................ ........................ ........................(d) (e) (f)........................ ........................ ........................2. Convert into milliliters (ml):(a) 4 l (b) 5 l (c) 16 l(d) 3 l 30 ml (e) 4 l 250 ml (f) 10 l 700 ml3. Convert into liters:(a) 1300 ml (b) 1600 ml (c) 1800 ml(d) 500 ml (e) 750 ml (f) 800 ml4. Convert into l and ml:(a) 1200 ml (b) 1235 ml (c) 1900 ml(d) 2340 ml (e) 1705 ml (f) 18007 ml5. Subtract the following:(a) 1 l – 500 ml (b) 2 l – 700 ml(c) 1 l – 900 ml (d) 2 l – 800 ml
208 Acme Mathematics-46. Add the following:(a) (b) (c)7. Subtract:(a) (b) (c)(d) (e) (f)8. Solve the following problems:(a) A water tank contains 200 l 500 ml of water. If 125 l 700 ml is added to the tank, how much water is there in the tank now?(b) A buffalo gives 10 l 525 ml of milk in the morning and 8 l 700 ml milk in the evening. Find the total amount of milk it gives in a day.(c) Look at the figures given below:(i) If all contain water find the total amount of water.(ii) Find the difference of the amount of water in the tank and the drum.(iii) Find the difference of the amount of water in the drum and the kettle.(iv) Which contains more water, bucket or kettle?(d) Vimsen has 133 l 540 ml of milk. He sold 88 l 713 ml of it. How much milk is left with him?l ml8 2007 100+ 12 700l ml 9 31210 405+ 13 812l ml25 03510 123+ 17 927l ml24 225– 9 700l ml18 425– 9 512l ml30 222– 14 322l ml4 700– 3 900l ml50 201– 40 800l ml9 095– 4 710500 liter 200 liter 20 liter 2 liter
Acme Mathematics-4 2093.5 WeightWarm-up:1. Fill in the blanks:(a) My weight is ............ kg. (b) Unit of weight is ..........(c) 1 kg = ............ gram. (d) 1000 gram = .......... kg.2. Name the figures:............................. ........................... ........................3. Cross the heavier and circle the lighter objects:(a) (b)1. Conversion of weightWe use kilogram and gram as units of weight.Gram is smaller unit. Kilogram is larger unit.The weight of different objects are given in different units but they are related to each other. Their relation is given below,1000 milligram (mg) = 1 gram (g)1000 gram (g) = 1 kilogram (kg)100 kilogram (kg) = 1 quintal (qt)10 quintal = 1 tonne (t)Short form of gram is g. Short form of kilogram is kg.
210 Acme Mathematics-4tonne kg g mg× 10÷ 10× 100 × 1000 × 1000÷ 100 ÷ 1000 ÷ 1000QtExample 1 : Convert 3 kg into grams.Solution : Here, 1 kg = 1000 grams3 kg = 3 × 1000 grams= 3000 gramsExample 2 : Convert 7000 grams into kilogram.Solution : Here, 1000 grams = 1 kg7000 grams = (7000 ÷ 1000) kg = 7 kgExample 3 : Convert 12500 grams into kg and g.Solution : Here, 1000 g = 1 kg12500 g = (12500 ÷ 1000) kgNow,12500 grams = 12 kg 500 gExample 4 : Convert 4 kg 500 g into grams.Solution : Here, 1 kg = 1000 g4 kg = 4 × 1000 g= 4000 g4 kg 500 g = 4500 g 1000 ) 1 2 5 0 0 (12 – 1 0 0 0 2 5 0 0 – 2 0 0 0 5 0 0It is kgIt is gram + 500 gm 4500 g
Acme Mathematics-4 211Example 5 : Convert 7 kg 500 g into kg.Solution : Here, 7 kg 500g = 7 kg + 500 g= 7 kg + (500 ÷ 1000) kg= 7 kg + 5001000 kg= 7 kg + 510 kg = 7 kg + 0.5 kg = 7.5 kgExample 6 : Convert 45000 kg to quintal :Solution : We have, 1 kg = 1100 quintal45000 kg = 1 × 45000100 quintal Thus, 45000 kg = 450 quintal2. Addition and Subtraction of weightAddition and subtraction of the weight is the same as addition and subtraction of money. Now, look at the given examples carefully.Example 7 : Add 23 kg 500 g and 18 kg 725 g.Solution : Here,Example 8 : Subtract 12 kg 225 g from 19 kg 100 g.Solution : Here,We know that,= 0.2= 0.03= 0.005 210 3100 51000kg g23 500+ 18 72541 1225+ 1 – 100042 2251000 g = 1 kgkg g19 100– 12 225kg g18 1100– 12 2256 8751 kg
212 Acme Mathematics-4Classwork1. Fill in the blanks:(a) 2 kg = ............... g(b) 4 kg = ............... g(c) 3000 g = ............... kg(d) 5000 g = ............... kg(e) 1 kg 500 g = ............... g(f) 2 kg 625 g = ............... g(g) 1234 g = ............... kg ............... g(h) 6789 g = ............... kg ............... g2. Fill in the table:Total kg g700 g + 600 g425 g + 675 g925 g + 705 g555 g + 666 g1500 g – 500 g1 kg – 800 g1 kg – 550 g1 kg – 300 gExercise 3.81. Guess the weight in kg or g:(a) (b) (c).................... .................... ....................
Acme Mathematics-4 213(d) (e) (f).................... .................... ....................2. Convert into kg and g:(a) 7000 gram (b) 12000 gram (c) 20000 gram(d) 8075 gram (e) 10400 gram (f) 18500 gram3. Convert into gram:(a) 6 kg (b) 8 kg (c) 13 kg(d) 5 kg 375 g (e) 9 kg 625 g (f) 14 kg 900 g4. Convert into kg:(a) 2 kg 200 gram (b) 8 kg 700 gram (c) 11 kg 700 gram(d) 17 kg 620 gram (e) 25 kg 100 gram (f) 30 kg 925 gram5. Change the following as indicated in the bracket:(a) 130 kg (qt) (b) 30 qt (tonne) (c) 35 qt (kg)(d) 12000 kg (tonne) (e) 0.75 tonne (kg) (f) 1.5 qt (kg)6. Add the following units:(a) (b) (c)(d) (e) (f)(g) (h) (i)kg g18 700+ 11 900kg g17 450+ 9 625kg g112 975+ 12 812g mg124 242324 449+ 529 741kg g973 151878 230+ 465 924kg g mg40 140 18032 720 692+ 78 982 876kg g mg 172 530 414 283 649 745 + 259 919 125qt kg 3 75 8 45 + 5 41 qt kg g.64 5 80 3 7 94 + 24 9 76
214 Acme Mathematics-47. (a) Find the sum of 7 kg 300 g, 2 kg 600 g and 4 kg 450 g.(b) Find the sum of 8 kg, 17 kg, 25 kg, and 850 g.8. Subtract:(a) kg g25 200– 6 700(b) kg g16 425– 8 525(c) kg g30 111– 12 312(d) kg g9 025– 8 900(e) kg g10 005– 4 076(f) kg g4 312– 3 419(g) kg g mg35 425 700– 22 628 569 (h) kg g mg534 490 550– 405 589 078 (i) kg g mg655 521 370– 345 566 621 (j) qt kg g85 4 451– 23 6 532 (k) qt kg g74 6 550– 45 9 078 (l) qt. kg g55 27 5– 45 30 6 9. (a) Subtract 900 g from 2 kg. (b) Subtract 1300 g from 3 kg.10. Calculate the total weight.5 kg 700 g 1 kg 400 g 2 kg 2 kg 100 g
Acme Mathematics-4 2153. Verbal problems on weightStudy the given examples carefully.Example 1 : Suruchi bought 1 kg 250 g of potato and 2 kg 900 g of tomato. How much vegetable did she buy?Solution : Here, the problem is related to additionNow,She bought 4 kg 150 g in all.Example 2 : I purchased 5 kg 500 g of sugar, 2 kg 725 g of it is used for tea. How much sugar is left with me?Solution : Here, the problem is related to subtraction.Now,2 kg 775 g of sugar is left with me.Example 3 : What must be added to 2 kg 300 g to make is 7 kg ?Solution : Here, the problem is related to subtractionNow,Redefine the case as4 kg 700 g must be added.Yes! It is also easy problem.kg g1 250+ 2 9003 1150+ 1 – 10004 1501 kg is carryover to g so it is 1500 g now. kg g5 500– 2 725kg g4 1500– 2 7252 775kg g7 0– 2 3007 kg has no gram so, we put 0 g.kg g6 1000– 2 3004 7001 kg = 1000 gIt is borrow. 7 kg – 1 kg
216 Acme Mathematics-4Exercise 3.91. Pasupati is carrying Maths books weighing 2 kg 100 g, Nepali book weighing 1 kg 200 g and English book weighing 600 g. What is the total weight of the books in the school bag carried by him?2. Chunna bought a tin of chocolates weighing 31 kg, a packet of toffees weighing 23 kg 500 g and nuts weighing 40 kg 150 g for distribution among her friends. Find the weight of all items she purchased.3. Arbin's weight is 53 kg 500 g, Amrit's weight is 55 kg 475 g and Aman's weight is 34 kg 543 g. Find their total weight.4. Ganesh bought 10 kg 'maida', 2 kg 850 g potato and 6 kg onion. What is the total weight of the items bought by him?5. Rita is carrying a book weighing 1 kg 245 g, a mobile weighing 200 g, geometry box weighing 345 g and lunch box weighing 600 g in her school bag. What is the total weight of the school bag carried by her?6. Kabir purchased 150 kg 700 g of mangoes. He gave 77 kg 530 g for making juice. How much mangoes were left?7. Hari's weight was 60 kg 400 g. He lost 13 kg 105 g of his weight due to diabetes. What is his weight now?8. Rahul's friend bought 127 kg 650 g rice from a shop. There was a hole in the bag and some rice leaked down. When the rice was weighed at home it was only 96 kg 250 g. How much rice leaked down from the bag?9. A box full of oranges weighs 56 kg 875 g. The weight of the empty box is 13 kg 765 g. Find out the weight of the oranges in the box10. On birthday, Ram Prashad bought a cake weighing 10 kg 876 g. The amount of cake consumed was 8 kg 365 g. How much cake was left?
Acme Mathematics-4 2171. Convert into milliliter (ml).(a) 5 l (b) 7 l 300 ml2. How many days are there in 2 months?(a) 30 days (b) 60 days (c) 90 days3. How much paisa in a 1 rupee?(a) 10 paisa (b) 50 paisa (c) 100 paisa4. How many kilograms are there in 2000 grams?(a) 1 kg (b) 2 kg (c) 3 kg5. Fill in the blanks.(a) 72 hours = ............. days.(b) Rs. 5 = ............. paisa.(c) There are ............. lakhs in 1258061.(d) The shape of the protractor is ................ .6. Match the following.(a) 365 days 7100(b) Triangles 1 year(c) 3 kilometers 3 vertices(d) Seven hundredth 3000 miters7. A wall is 25 m and 75 cm long and another wall is 18 m and 87 cm long. (a) What is the total length of the two walls?(b) Which wall is longer?(c) What should do to make two walls equal in length.Mixed Exercise
218 Acme Mathematics-48. Observe the given clock and answer the following questions.(a) Write the time.(b) Convert the obtained time in minutes.(c) Write the time using am or pm : Sabita goes to school at quarter past nine.9. (a) Divide : 130 paisa by 5.(b) Convert 21 days into weeks.(c) Add 750 ml and 657 ml10. (a) Divide : 130 paisa by 5.(b) Convert 21 days into weeks.(c) Add 750 ml and 675 ml.(d) Convert 14 minutes 28 seconds into seconds.12. Answer the following questions.(a) How many days are there in one year?(b) How many milliliters are there in 4 liters?(c) How many km are there in 4000 meters?13. (a) Convert 6m int cm.(b) There are ______ months in a year.(c) Add the following :14. Answer the following questions.(a) How many hours in a day?(b) Convert to 5 kg into gram.(c) 21 days into weeks.kg gm5 675+ 2 430
Acme Mathematics-4 219EvaluationTime: 74 minutes Full Marks: 311. Answer the following questions. (a) How many hours are there in 1 day ? [1] (b) Convert 8 kg in to gram. [1] (c) Convert 63 days into weeks. [1] (d) A pot has 3 liter and 660 milliliter of water in it. If you add 2 liter and 540 milliliter of water to fill the pot. What is the capacity of the pot ? [2] (e) Convert 3 week into days. [1] 2. (a) How many days are there in a month ? [1] (i) 7 (ii) 30 (iii) 365 (b) Convert 2 kg 200 gram in to gram. [2] (c) How many liter are there in 5000 milliliter? [1] (i) 1 (ii) 3 (iii) 5 (d) Find the perimeter of the given diagram. [2] 3. (a) Convert 5 rupees in paisa. [1] (b) Add : [2] m cm 12 43+ 415 72 (c) How many days are there in 1 years ? [1] (i) 30 (ii) 365 (iii) 52(d) Make a watch displaying 10 O'clock ? [1](e) Ram started a work at 6:30 am and completed at 10:15 a.m. How much time did he take to complete the work? [2]AB C3 cm 6 cm5 cm
220 Acme Mathematics-44. (a) Write the answer of the following questions. (i) How many days are there in a year ? [1] (ii) Convert Rs. 5 into paisa. [1](iii) Convert 9000 millilitres into litre. [1](b) A cow gives 5 liters 750 ml of milk in the morning and 4 liters 250ml in the evening. How much milk does the cow give in one day? [2](c) Add: [2]5. Write the answer of the following questions.(a) How many months are there in two years? [1](b) Convert 8 meter into centimeter. [1](c) Convert 4000 milliliters into liter. The small box is 1 square centimeter in the given figure. [1](d) Find the area and perimeter of given figure by counting the square boxes in length and breadth? [2]
Acme Mathematics-4 2213.6 Perimeter and AreaA. PerimeterActivity:Look at the following shapes and their sides.Figure (a) Figure (b) Figure (c)(a) How long is the outer part of the above figures?(b) Which figure has longest outer part?(c) Which figure has shortest outer parts?Here, each small square room is 1 cm long. The perimeter of figure (a) is 12 cm.The perimeter of figure (b) is 12 cm.The perimeter of figure (c) is 14 cm.Perimeter is the outer length of the object.Now, look at the pictures given below and try to understand the perimeter of them.Q RP S3 cm 3 cm3 cm3 cm5 cmEFHG5 cm2 cm 2 cmPQ = 3 cm QR = 3 cmRS = 3 cm SP = 3 cmtotal length = 12 cmEF = 2 cm FG = 5 cmGH = 2 cm EH = 5 cmtotal length = 14 cmThe total length around the shape is 12 cmThe total length around the shape is 14 cm.
222 Acme Mathematics-4The length 12 cm and 14 cm are the perimeters of the first shape, the square and the second shape, the rectangle.Thus, the sum of the length of all sides of a closed figure is called its perimeter.Classwork1. What is the perimeter of each shape?[Note : length and breadth of each room is 1 cm.](a) (b)Perimeter = cm. Perimeter = cm.(c) (d)Perimeter = cm. Perimeter = cm.(e) (f)Perimeter = cm. Perimeter = cm.
Acme Mathematics-4 223Exercise 3.111. Study the graph given below.(a) Find the length of each figure.(b) Find the breadth of each figure.(c) Calculate the perimeter of each figure.2. Draw the following rectangle on the grid and calculate perimeter. (Use graph)(a) Length = 9 cm (b) Length = 10 cmBreadth = 5 cm Breadth = 1 cm3. Draw the square whose length is 6 cm and breadth 6 cm. Find its perimeter. (Use graph)4. Calculate the perimeter of the following figures. (Length and breath of each room is 1 cm)(a) (b)(c) (d)
224 Acme Mathematics-4B. AreaLook at the following shapes and their sides carefully and get the idea about the area.The figure alongside is a square. Its length and breadth are equal. It is 1 cm long and 1 cm broad.We say that the area of such figure (square) is 1 square centimeter. or 1 sq. cm. or 1cm2.We measure the area of a closed figure by counting the number of squares that can be fit into it.The area of the given rectangle is 2 square cm, because 2 squares of 1 sq. cm area each can fit into this rectangle.The length of the given rectangle is 3 cm. The breadth of the given rectangle is 2 cm.There are 6 square rooms. So, 6 squares of 1 square cm. area each can be fit into this rectangle.The area of given rectongle is 6 cm2.Similarly,The length of the given rectangle is 4 cm.The breadth of the given rectangle is 2 cm.There are 4 × 2 = 8 square roomsSo, 8 squares of 1 sq.cm area each can be fit into this rectangle.The area of the given rectangle is 8 square cm.The area of the shaded figure is half square cm.2 coloured triangles together in the given figures make 1 square cm.The area of the given figure is 4 square cm.1cm21cm1cm1cm 1cm1cm1cm1cm1cm1cm 1cm3 cm2 cm2 cm4 cm1cm1cm2 coloured triangles together in the given figure make 1 square cm.
Acme Mathematics-4 225Example – 1: Studythe given graph and answer the questions given below:(a) Count the square room and find the area of the square ABCD.(b) How many square rooms are there in recetangle PQRS?(c) How many rooms are there in length of recetangle MNOP?(d) Find the area and preimeter of recetangle MNOP?Solution:(a) Square rooms on the length = 3 Square rooms on the breadth = 3 Total square rooms = 3 × 3 = 9 Area of square ABCD is 9 sq.cm(b) 12 Square rooms are there in recetangle PQRS(c) There are 6 square rooms in the length of recetangle MNOP(d) There are 24 square room. So, area of rectangle MNOP is 24 sq.cmAgain,length of recetangle = MN = PO = 6 roomsbreadth of recetangle = MP = ON = 4 roomsPerimeter of rectangle MNOP = MP+PO+ON+NM = 4 + 6 + 4 + 6 = 20∴Perimeter of rectangle MNOP is 20 cm.A B P QS RMP OD C N
226 Acme Mathematics-4Classwork1. What is the area of each of the following shapes?[Note : Each small square room represents 1 square cm.](a) (b) (c)Area = Sq.cm Area = Sq.cm Area = Sq.cm(d) (e) (f)Area = Sq.cm Area = Sq.cm Area = Sq.cm(g) (h) (i)Area = Sq.cm Area = Sq.cm Area = Sq.cmExercise 3.121. Find the area of each of the following shape.[Note :Each small square room represents 1 square cm.](a) (b) (c)
Acme Mathematics-4 227(d) (e) (f)(g) (h) (i)4. Observe the following graphs: (each room is 1 cm2)P QM NP OA BD CS R(a) Which is the biggest figure?(b) Which is the smallest figure?Project work:Collect some leaf from the garden. Place each of them on square sheet. Trace out their edges and check how many squares there are in each leaf.
228 Acme Mathematics-41. Observe the given figure and answer the following:(a) Write the length of square.(b) Find the perimeter of the given square.(c) Find the perimeter of a square if 4 cm is added to all side.2. Study the given figure.(a) What is perimeter?(b) Find the perimeter of given figure?(c) What should be done to make it a square?3. ABCD is a 'Baranda'. Size of each tile is 1 sq. ft. Calculate perimeter and area of the Baranda.4. Study the given figure.(a) Write an expression for the perimeter of the following rectangle. (b) Find the actual perimeter if a = 5 cm.(c) Name the figure if 'a' is subtracted in the length.5. (a) What is the formula to find out the perimeter of square?(b) Find the perimeter of square whose length is 6 cm.(c) Find the perimeter of given rectangle.3 cm3 cm3 cm 3 cm10 cm7 cmBACDLengthBreadth3a2a12 cm6 cmMixed Exercise
Acme Mathematics-4 229EvaluationTime: 24 minutes Full Marks: 101. (a) The small box is 1 square centimetre in the given figure. (i) Find the area of given figure by counting the all square boxes. [1](ii) Find the perimeter of given figure by counting the square boxes in length and breadth ? [1](b) Find the perimeter of a rectangle. [2] 2. (a) Find the area and perimeter of given figure by counting the square boxes in length and breath. [2] (b) Find the perimeter of a square whose length is 5 cm. [1] (c) Make a rectangle that has 12 square cm. area. [2] (d) The small box is 1 square centimetre in the given figure. [1] Find the area of the following figure.10 cm5 cm
230 Acme Mathematics-4STATISTICS CHAPTER4Look at the bill given below carefully.Asmita StationeryBirendra Campus Road, BharatpurChitwanBill No : 0012 Date : 2082/01/07Name : Nanimaya Address : NarayangarhS.N. Description Quantity RateRs.TotalRs. Paisa1. Science Book 1 150 150 002. Copy 5 30 150 003. Pencil 2 3 6 004. Pen 1 35 35 005. Colour Pencil 1 pct. 25 25 006. Geometry box 1 75 75 00Grand Total 441 00Goods once sold will not be taken back ..............................Signature PAN : 300834213Generally bill have the following details.➢ Registration Number.➢ Name and address of the shop.➢ Bill number➢ Permanent Account Number (PAN) or Value Added Tax (VAT) Number➢ Date➢ Name and address of the customer.➢ Name of the items and their quantities.➢ Rate of the items.➢ The sum of the prices of the items.4.1 Bill
Acme Mathematics-4 231Exercise 4.11. Read the given bill and answer the questions given below:S.N. Particulars QuantityRate(Rs.)AmountRs. Paisa1. Jackpot biscuits 6 pcs 12 72 002. 5-star chocolate 1 pc 15 15 003. Ice cream 3 pcs 20 60 004. Milk 3 liter 90 270 00Total 417 00Four hundred and seventeen rupees only. In words: ..................................................................................................................................................... __________SellerBhandari SuppliersBill no. 0134 Date: 2082/05/07Name: ........................................................................................................Address: ....................................................................................................Hetauda - 17, HatiyaHom Nath TiwariBharatpur - 7PAN : 654287140(a) Who is the buyer?(b) Who is the seller?(c) Where is the shop?(d) What is the total amount?(e) When was the bill issued?
232 Acme Mathematics-42. Read the given bill and answer the questions given below:S.N. Description QuantityRate(Rs.)AmountRs. P1. Acidex 10 13 130 002. Zozafen Forte 10 8 80 003. Methapred 10 12 120 00Total 330 00Three hundred thirty rupees. In words: ..........................................................................E.&O.E.Wish You Good Health ! __________SellerManakamana Hospital PharmacyBill no. 0282 Date: 2082/10/12Name: ..................................................Address : ................................Airport Gate, Amar MargaPhone : 056-520180Manju Bhandari Bharatpur - 17PAN : 302397121(a) What is the name of pharmacy?(b) What is the bill amount?(c) If Manju give Rs. 500 note, how much money did she get back?(d) Is there any mistake in the bill?(e) Which medicine is expensive? Accidex or Zokafen Forte? By how much?3. The price list of 'Prakriti Stationary' is given below:Now answer the following questions:(a) Which item has the least cost?(b) Which item is the most expensive?(c) How much should be paid while buying 2 board markers?(d) Where is the stationery?(e) How many items are there in the list?Prakriti StationeryHetauda, MakawanpurPRICE LIST1. Pencil Rs. 5 2. Pen Rs. 35 3. Copy (No. 50) Rs. 10 4. Maths book – 5 Rs. 250 5. Ball Rs. 50 6. Glue stick Rs. 45 7. Board marker Rs. 22 8. Scale (6 inch) Rs. 10 9. Compass Rs. 6 10. Protractor Rs. 8
Acme Mathematics-4 2334. Find out the mistakes in each bill:(a)(b)(c) Suruchi StoreBirgunj, ParsaM/S .............................Address.........................Item Qty Price Cost (Rs.)Sugar RiceDalBhujiya3 kg 5 kg1 kg2 kg70 5010060200/–200/– 100/–120/–Total 620/– Sabina Books & StationeryLokanthali, KathmanduM/S ......................................................Item Qty Price Cost (Rs.)Note BookPencilAll in One BookDay Book (Small)3 pcs. 5 pcs.1 pcs.2 pcs.70 5010060200/–200/– 100/–120/–Total 620/– PAN : 617473914 Date : 2082/04/16Unique Fashion StoreHetauda-10, MakawanpurM/S .............................................................Item Qty Price Cost (Rs.)T-shirt PantBeltMufflerTrouser21121400700500129300800/–700/– 500/–129/–600/-Total 3000/– PAN : 300834213 Date : 2082/07/13
234 Acme Mathematics-41. Objective : To know about different types of bill.2. Materials required : Different types of bill Gum Scissor3. Activity : Collect different types of bill from different shop and paste them on the A4 size paper.An example is given below:Kalij RestaurantBagbazar, KathmanduM/S ...................................................................................Item Qty Price Cost (Rs.)Kalij SoupKhana Set (Kaliz)Khana set (Mutton)Milk teaCoffeeOmelette233532350550430256525700/–1650/– 1290/–125/-195/-50/-Total 4010/– SignaturePAN : 606510374Mr. Bibek KatuwalProject WorkDate : 2082/10/15
Acme Mathematics-4 2354.2 BudgetActivity-1Study the income and expenditure of Prakash's family which is given below.Income (Rs) Expenditure (Rs)Source Amount Heading Amount1. Salary2. Vegetable Production3. Milk Production4. Poultry5. Goat25,000/-6,000/-7,000/-20,000/-5,000/-GroceryClothesEducationStationaryTransportationAgriculture goods20,000/-4,000/-7,000/- 3,000/-2,500/-22,000/-Total 63,000/- Total 58,500/-From the table, their total income is Rs. 63,000/- and expenditure is Rs. 58,500/-. Income is more than expenditure. So in the family of Prakash, there is saving. Saving is calculated as;Saving = Income – Expenditure= Rs. 63,000 – Rs. 58,000= Rs. 5,500Now, saving of Prakash's family is Rs. 5,500.What will happen, if expenditure is more than its income? Discuss.A budget is a spending plan based on income and expenditure. It is an estimate of how much money you will make and spend over a certain period of time, such as a month or year.A family budget is a plan for your family's money.Budget is a plan for income and expenditure.
236 Acme Mathematics-4The monthly income and expenditure of Sudan's family is given below.Income (Rs) Expenditure (Rs)Source Amount Heading Amount1. Salary2. House rent3. Interest25,000/–6,000 /–1,000/–FoodEducationClothesTransportationMedicine9,000 /–4,000/–6,000/– 1,000/–3,000 /–Total 32,000 /– Total 23,000 /–The table is the budget of the family.Budget includes Income and expenditure of the respective people, office etc.Now, answer the following questions.(a) What is the total amount of income ?(b) What is total expenditure of the family ?(c) Is there any saving ?(d) What is the amount spent on food ?Exercise: 4.21. The monthly budget of a school is given below. Study the budget and answer the questions given below:Incomes (Rs) Expenditure (Rs)Source Amount Heading AmountFee 2,00,000/– Salary 90,000 /–Interest 2,000 /– Chalk, Duster 14,000/–Donation 25,000/– Water bill 6,000/– Others 5,000/– Electricity bill 10,000/–Educational material 30,000/–Others 26,000/–Total 2,32,000 /– Total 1,76,000 /–
Acme Mathematics-4 237(a) Which is the greatest source of income?(b) In which heading the expenditure is the highest?(c) How much is the saving?(d) How much is earned from donation?2. Try to prepare your family's monthly budget.Incomes (Rs) Expenditure (Rs)Source Amount Heading AmountTotal Total(a) Is there any saving?(b) Is the budget in loss?(c) Which is the greatest source of income?(d) In which heading the expenditure is the highest?
238 Acme Mathematics-4Colour, count and graph.1 2 3 4 5 6 7 8 9 104.3 Simple Bar GraphActivity
Acme Mathematics-4 239Look at the picture carefully121110987654321This is a graph.Look at the bar graph and answer the following questions by counting.(a) How many dogs are there? .....................................(b) How many mangoes are there? .....................................(c) How many mobiles are there? .....................................(d) How many apples are there? .....................................(e) How many cats are there? .....................................Now look at the numbers written on the bar graph. Can you answer the questions without counting.There are 6 dogs.
240 Acme Mathematics-4The following diagram shows fruits liked by the children.12010080604020OXMango Apple Orange Banana LichiNumber of childrenName of FruitsYThe diagram is called the bar graph. OX is the horizontal line. It represents the objects. OY is the vertical line. It represent the number of children. Height of pillar represent the number of objects. Breadth of the pillar represent the objects. Breadth of the pillar are same. Gap between the pillars are same.Study the above bar graph and write the answer of the following questions:(a) How many children like banana?(b) How many more children like lichi than those who like orange?(c) Which fruit is liked by the least number of children?
Acme Mathematics-4 241(d) How many more children like apple than banana?(e) What does this bar diagram represent?(f) How many children are there in all?Exercise 4.31. The pictograph given below shows the guitars of different students. Read the pictograph and answer the questions:KundanKhusbuRiteshSajalKiran(a) How many guitars Sajal has?(b) Who has maximum number of guitars?(c) Who has minimum number of guitars?(d) What is the total number of guitars?2. These are the favourite fruits of some children:Apple – 8 Banana – 4Orange – 6 Papaya – 2 Mango – 5
242 Acme Mathematics-4Complete this bar graph with the help of above mentioned information:Apple Banana Orange Mango Papaya867543210How many more children liked mango than papaya?
Acme Mathematics-4 2433. Using the information from Q.No. 1 complete this bar diagram:KundanNumber of guitarsKhusbu Ritesh Sajal Kiran 012345674. Look at the bar graph. It shows the marks that Tina, Sonu, Mina and Monu scored in a Math test:Answer the following questions:(a) How many marks did Sonu get? .....................(b) How many marks did Mina get? .....................(c) Who scored the highest marks? .....................(d) Who scored the lowest marks? .....................(e) Which two children got equal marks? .....................(f) How many more marks did Sonu get than Mina? .....................(g) How many less marks did Tina get than Sonu? .....................5. Look at the bar graph:It shows the marks that Amar, Binu, Chandra and Damu scored in a Maths test.Name of studentsTina123456789100Sonu Mina Monu123456 6 78910 10 10 1112 12Amar Binu Chandra Damu
244 Acme Mathematics-4Answer the following question:(a) How many marks did Binu get ? .........................(b) How many marks did Chandra get? .........................(c) Who scored the highest marks? .........................(d) Who scored the lowest marks? .........................(e) Which two of them got equal marks? .........................6. Children of different classes in the school took part in the annual day function. The bar graph tells us how many children participated from each class.123 34456 67 78910111212Nursery KG Class 1 Class 2 Class 3Answer the following question:(a) How many children from Class Nursery took part? .............(b) From which class did 6 children took part? .............(c) From which class did 3 children took part? .............(d) From which class did the least number of children took part? .............(e) From which class did the most children took part? .............
Acme Mathematics-4 2457. These are the favourite fruits of some children of class-2.Apple = 6 Banana = 8 Orange = 5Papaya = 3 Mango = 7Complete this bar graph with the help of the above information.Apple Banana Orange Mango Papaya867543210
246 Acme Mathematics-41. Objective: To draw pictograph.2. Materials required : A-4 size paper Different stickers Scissors Glue Colours3. Activity: Collect different stickers. Paste the stickers and complete the table.4. An example is given below:Fruits Number of fruitsProject Work
Acme Mathematics-4 2471. Objective : To draw a bar diagram.2. Materials required: Scale Colours3. Activity: Collect any information of your school.4. An example is given below: The students in class-4 did a monthly project on absentees in Bhadra. Every day noted down the absentees. Here is what they found out.Sunday - 5 Wednesday - 8Monday - 4 Thursday - 7Tuesday - 6 Friday - 105. Make a bar graph using different colours to show the absentees on different days. Project Work
248 Acme Mathematics-41. Read the given bill and answer the questions given below:Mangal Stationary Pvt. Ltd.Bagbazar, KathmanduBill No. : 056 Date : ___________Name : ______________________________________________Sn. Items Quantity Rate Cost in NRs.1.2.3.PencilExercise bookBall pen54315302075/-120/-60/-Total 255/-____________ SignaturePurna Khanal2082/02/22PAN : 216849708(a) What is the name of the shop?(b) Which item is expensive?(c) What is the total amount on the bill?(d) If Purna gave Rs 1000 to the shopkeeper, how much money did he get back?2. Study the bar diagram and answer the given question:(a) Which fruit is liked by 25 people?(b) Which is the least favorite fruit?(c) How many people like blueberry more than apple?(d) What is the total number of students?0510Apple Orange Banana Kiwi Blueberry Grapes152025303540Number of PeopleName of FruitsMixed Exercise
Acme Mathematics-4 2493. Study the given bill and answer the following questions.Super Furniture Mart Pvt. Ltd.Bharatpur, ChitwanBill No. : 063 Date : ___________Name : ______________________________________________Sn. Items Quantity Rate Cost in NRs.1.2.3.4.5.Sitting benchWriting deskBlack boardChairTable505021010120015003000950175060,000/-75,000/-6,000/-9,500/-17,500/-Total 1,68,000/-____________ SignatureFuture Star Secondary School2082/08/11PAN : 216849708(a) In which date are the items sold?(b) What is the amount of 10 tables?(c) What is the grand total of all items?4. Read the given bill and answer the questions given below:City Grocery StoreHetauda, MakawanpurBill No. : 082 Date : ___________Name : ______________________ Address : ________________Sn. Items Quantity Rate Cost in NRs.1.2.3.PotatoesSugarOnions3 kg2 kg2 kg459555-Total____________ SignatureRashmi Sherpa Piple, Hetauda2082/08/15PAN : 216849708
250 Acme Mathematics-4(a) Who is the customer?(b) Which item is most expensive?(c) What is the amount of 2 kg of sugar?(d) What is the total amount of bill?5. Read the given bill and answer the questions given below:Chaudhari Fruit ShopBiratnagar, MorangBill No. : 328 Date : ___________Name : ______________________ Address : ________________Sn. Items Quantity Rate Cost in NRs.1.2.3.Dragon FruitOrangeApple2 kg3 kg4 kg35070185700/-210/-740/-Total 1650/-In Words : _______________________________________________________ SignatureAashif Sekh PokhariyaSalinaOne thousand six hundred fifty only.2082/10/14PAN : 216849708(a) Who is the costumer of the shop?(b) Where is the fruit shop?(c) What is the cost of 2 kg of apple?(d) How much did Salina return when Aashif gave Rs 2000?6. Answer the following questions with the help of the given bar diagram.(a) Which is the most popular fruits?(b) Which fruit items are liked by less than 30 people?(c) What is the total number of fruits?0510Apple Mango Grapes Orange1520253035404550Number of PeopleFruits