Std : V th. Subject : Mathematics. Sl.

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1 Std : V th Subject : Mathematics. Sl. Title No 1) Multiplication. 2) Division. 3) Mental Arithmetic. 4) Money. 5) Preparation of bill. 6) Weight and volume. 7) Time. 1

2 Multiplication Find the product: = = 365 Fill the blanks: 1. Any number multiplied by zero the product is zero. 2. Any number multiplied by one the product is the number itself. Multiply: Solve: 1. Mr. Siddappa is a fruit selling agent who export oranges. One box contains 144 oranges. If he export 259 boxes of oranges, Find the total number of oranges? Sol: One box No. of boxes Total oranges 37, A dealer buys 27 bicycles for his show room. Cost of each bicycle is Rs Find the amount paid by the dealer? Sol: Cost of bicycle Rs. No. of bicycle

3 Total cost 55809Rs. 3. A lorry covers 13km using 1ltr of diesel. What distance will it cover, if 1,043 litres of diesel is used? Sol: Diesel 1043 Distance per litre Total distance cover 13559km. 4. A factory produces 1575 toys in a day. How many toys will be produce in a year? (1year = 365days) Sol: Toys produced in a day 1575 No. of days Total no. of toys will produce in a year 5,74, How many Minutes are there in month of March? Sol: 1hr = 60min 1day = 24hrs 24hrs = 24 60= 1440mins 31day= In the month of march 44,640min. 6. If the cost of a TV set is Rs Find the cost of 48 such sets? Sol: Cost of a TV set Rs. 125 No. of set

4 Cost of 48 TV sets Rs. 6,,0 7. In a protected forest area 160 trees are planted in each row & 108 trees in each column. Find the total number of trees planted in the forest area? Sol: Trees planted in each row 160 No. of trees planted Total trees in each column Division I Find the quotient: )45(5 3)36(12 4)72( Quotient=5 Quotient=12-32 Quotient=18 Find Quotient and Reminder: )474( Quotient = 79 0 Reminder = )527( Quotient = Reminder = 11 Verification: Dividend D Q + R )1653(206 Verification: -16 Divided - D Q + R Quotient Reminder

5 )1435(95 Verification: -135 Divided - D Q + R Quotient Reminder Find the Quotient and Reminder: )2647(203 12)12056( Quotient Quotient Reminder 8-48 Reminder )49652( Quotient Remember Solve the following: 1. A tailor has 18 meters of cloth. He can stitch 9 shirts from this cloth. Find the length Sol: of cloth required to stitch 1 shirt. Cloth 18m No. of shirt stitched 9 Cloth needed for 1 shirt )18(2 18 Cloth needed for 1 shirt 2m. 2. A like can cover 240km with 5litres of petrol. Find how many kilometers does it cover with 1 liter of petrol. Sol: Distance covered 240km Petrol 5ltr One litre )240( One litre 48km. 5

6 bags of cement are loaded equally into 14 railway wagons. Find the number of bags in each wagon. Sol: No of cement bags No of wagon - 14 Cement bags in each wagon )254( Cement bags in each wagon is Mr. Sridhar purchased 11toys of same price for Rs. 946 from a toy shop. Cost of each toy? Sol: Mr. Sridhar purchased toys 11 Price of 11 toys 946 Price of each toy )946( Total price of each toy is The annual income of a person is Rs Find his monthly income. Sol: Annual income Months in a year 12 Monthly income )90912( Annual monthly income Rs

7 Multiplication and Division sums: 1. An orange garden has 82 orange plants. A former plucks 60 oranges from each plant and packs 12 oranges in each box. Calculate the number of boxes required to pack all oranges? Sol: Orange plants 82 Oranges in 1 tree Total oranges Oranges in one box 12 No. of box need )4920( No. of boxes needed = School children hire a cob for a days excursion at 9Rs per km. If they travel a distance of 325km. Find the amount to be shared by each one of them? Sol: Total distance 325 Per km 9Rs Total amount. No. of children 15 Each should pay )2925( Each should pay

8 3. Anita has a cow which yields 8 litres of milk in a day. The selling price of 1ltr of milk is 18Rs. She wants to divide the amount earned in one month (30days) among her 4 sons. What amount does each one get? Sol: Sells in 1 day 8ltrs One litre cost Rs Amount gets in one month She wants to divide )4320( Amount each get Rs villages donates 150 each to a higher primary school for scholarship to the needly students. If there are 30 needly students, Find the scholarship amount received by each student? Sol: Villages 25 Donates 150Rs Total amount. Needy Students )3750( Amount received by each students

9 Mental Arithmetic Estimation and Approximation I Round of each off the following numbers to nearest thousands place: Number Nearest to 10places a) b) c) d) e) II Round off each of the following numbers to nearest ten thousands place. Number Nearest to 1places a) b) c) d) e) III Estimate sum of the following by rounding off to nearest thousand place: IV Estimate the difference of the following by rounding off to nearest thousand place: V Estimate the difference of the following by rounding off to the nearest ten thousand place

10 VI Estimate the product of each of the following by rounding off to its highest place Its nearest to thousand Its nearest tens Its nearest thousand Its nearest tens Its nearest thousand Its nearest tens VII Estimate the quotient of each of the following by rounding of its highest place nearest to nearest to )30(50-3 Quotient Nearest to Nearest to 1 1 1)3(3-3 0 Quotient 3 10

11 Nearest to Nearest to )9( Quotient 30 Sovle the following: 1. A train can cover 225km in one hour. Estimate the distance covered in a day to the Sol: hightest place. 1hour 225 km 1day 24 hour The distance covered in a day = 54 50km. 2. A garment company stitched shirts and of dresses stitched to the nearest ten thousand place? Sol: Shirt Pant Total Total dress stitched = A sweet stall has 1620 laddus. Sweet seller wants to pack 15 laddus in each box. Estimate the number of boxes required? Sol: Laddus 1620 One box 15 No. of boxes )1620( No. of boxes =

12 4. A carpenter earned Rs during the month of November and Rs in December. Estimate how much more he earned in December to the nearest ten thousands place. Sol: November Rs December Rs Nearest to 1 1 Rs. 1 they earn more. Write in words: Zero point five Zero point one five One point seven Five point two one Zero point one three. Decimal Fraction Write the numeral representing each of the following. 1. Zero point one two Six point eight Ten point five Four point zero two One hundred eight point zero six Fill in the blanks: 1. 8mm = 0.8cm 2. 75mm = 7.5cm 3. 8cm 5mm = 8.5cm mm = 5.25cm 5. 8cm = 0.08m 6. 72cm = 0.72m 7. 75paise = 0.75Rs paise = 8.70Rs. Conversion into decimal: 1. 6/10 = /10 = /1 = /1 = /1 =

13 Write the fraction into Decimal 1. 3/4 = 4) 3 ( /4 = /20 = 20) 13 ( /20 = /50 = 50) 38 ( /50 = /5 = 5) 2 ( /5 = /2 = 2) 1 ( /2 = /25 = 25) 8 ( /25 = 0.32 Write in fraction: = = = Money. 1) Find the sum of : 2) Find the difference : Rs Rs Rs Rs Rs Rs Rs Rs Rs Rs

14 2) Find the product of : 4) Find the quotient : Rs X Rs 17. Rs 4960 Rs 8 Rs ) 4960 (620 X Rs Solve: 1) I had Rs 625 with me. My father gave Rs as pocket money with the total amount with me now? Sol n : I had - Rs. 625 Father Gave - Rs Total amount Rs. = ) Sheriff had Rs in his post office account. He further deposited an amount of Rs to his account in the post office? Sol n : Sharif had - Rs Deposited - Rs Total amount Rs.= Solve: 1) Varun brought sweet for Rs He paid Rs 5 to the Shopkeeper. What change should be get back from the shopkeeper? Soln: Paid Rs. 5. Sweet Rs Shop keeper gave back = Rs ) Poornima had Rs with her. She gave Rs to her friend to by a saree. What is the amount left with her? Sol n : Poornima had - Rs Gave - Rs Amount left with Poornima = Rs

15 3) Joseph had Rs. 25 in his account in a bank. He withdraws Rs for his expenses. What is the amount left in his account in the bank? Sol n : Joseph had in bank Rs. 25. Withdraw Rs Amount left in account = Rs Solve: 1) The cost of an egg is Rs. 4 What is the cost of a dozen eggs? Sol n : 1 dozen 12 1 egg Rs 4 No of eggs X 4 Rs 48 Cost of one dozen Eggs = Rs 48. 2) The cost of an Umbrella is Rs 225, What is the cost of 15 Umbrellas? Sol n : Cost No of Umbrella X Total cost = Rs ) Laborers earns Rs. 525 a day. How much will be earn in a week? Sol n : 1 Week 7day. Earn in day 525 Rs. No of days 7 days. 525 X Earn in a week = 3675 Rs. Solve: 1) Mohan paid Rs for 9 shirts. What is the cost of each shirt? Sol n : Shirts 9 Paid Rs Costof each shirt Rs? 9) 1422 ( Cost of each Shirt = Rs

16 2) If the cost of dozen apples is Rs. 96. What is the cost of 1 apple? Sol n : Apple 1 dozen -12. Cost Rs. 96 Cos of each apple ) 96 ( 8-96 Cost of each apple = Rs. 8. 3) Vinod a carpenter earn Rs in 6 days. What is the amount he earn in a day? Sol n : Earn Rs No of Days 6 Earn in each day Rs? ) 9666 ( Earn in each day = Rs Solve: 1) Subtract Rs from the sum of Rs and Rs Sol n : Rs Rs Rs Rs Rs Rs ) Ramegouda has Rs. 80 with him. He spent Rs to buy mango saplings, Rs For seedling and Rs. 150 for transportation. What is the amount left with him? Sol n : Mango sailing Seedling Transportation 150. Mango sailing Ramegouda had Rs. 80. Seedling Spent Rs Transportation 150. Rs Amount left with him = Rs ) Salma brought 20 chocolates at Rs. 22 each She gave shopkeeper Rs. 5 note, What is the Change she has to get from the shop keeper? Sol n : Each chocolates Rs. 22 No of chocolates 20 Rs. 22 X Salma has : Rs. 5 Rs. 5 Cost of chocolates : Shopkeeper gave Rs

17 5.4 PREPARATION OF BILL. Preparation bills are the particulars given below. Find the total cost in each case and total cost of all items. 1) Satya went to hopcoms shop and brought the following vegetables. Cali flower 2 kg at Rs. 18. per kg. Potatoes 3 kg at Rs. 17. per kg. Beans 2 kg at Rs. 19. per kg. Tomatoes 5 kg at Rs. 19. per kg. Name :- Satya Date: 20/12/12. Sl.no Perticulars Quaintity Rate Rs. Amount Rs. 1) Cauliflower 2kg 18. Rs. Per kg. 26 2) Potatoes 3kg 17. Rs. Per kg 51 3) Beans 2kg 19. Rs. Per kg 38 4) Tomatoes 5kg 13. Rs. Per kg 65 Total = Rs In words : One hundred and ninety only. Signature. 2) Mrs. Uma brought the following articles from sunny enterprices. 5 Instrument boxes at Rs. 38 each 12 Pencils at Rs. 3 each. 6 Boxes of crayons at Rs. 12 each. 8 point Boxes at Rs. 25 each Name: Mrs.Uma Date: 02/01/13 Sl.no Perticulars Quaintity Rate Rs. Amount Rs. 1) Instrument Box ) Pencils ) Crayons ) Point Box Total = 498. In words: Four hundred and ninety eight only. Signature. 17

18 6. WEIGHT AND VOLUME. 1) 1 Ton = 10Kg. 2) 1 Quintal = 1kg. 3) 10 Gram = 1 Decagram. 4) 1 Gram = 1 Hectogram. 5) 10 Grams = 1kg. 6) 5 Grams = ½ kg. 7) F50 Grams = ¾ kg. 8) 250Grams = ¼ kg. Ex : 6.1. Add 1) 4 kg 250Gms, 12kg 355 gms. 2) 23 kg 432 gms, 37 kg 350 gms 4Kg 250 gms 23 kg 432 gms 12kg 355 gms 37 kg 350 gms 16 kg 605 gms. 60 kg 782 gms. 2) 12 kg 450 gms, 15 kg 550 gms 4) 17 kg 370 gms, 18kg 630 gms 12 kg 450 gms 17 kg 370 gms 15 kg 550 gms 18 kg 630gms 28 kg 0 gms. 36 kg 0 gms. Solve the following. 1) Radha buys 2 kg 5 gms of carrot, 2kg 5 gms of brinjal and 3kg 250gms of tomatoes Sol n : From vegetable shop. Find total weight of vegetable bought by her? Carrot 2 kg 5 gms Bringal 2 kg 5 gms Tomato 2 kg 5 gms 8 kg 250 gms. Total weight bought Radha = 8 kg 250 gms. 2) A merchant has 68 kg 250gms of wheat with him. He sales 15 kg 250 gms of wheat to one customer and 13 kg 5 gms to another customer. What is the weight reaming with him? Sol n : Sold. 1 st customer 15 kg 250 gms. Wheat 68kg 250 gms. 2 nd customer 13 kg 5 gms. Sold 28kg 750 gms. 28 kg 750 gms. 39 kg 5 gms. Total weight of wheat Remained = 39kg 5gms. 3) 18 kg 4 gms of sugar is to be packed in 4 bag equally, What is the weight of each bag. Sol n : Sugar 18 kg 4 gm. No bags 4nos Sugar in each bag : ) 18.4 ( Sugar in each bag : 4 Kg 6 gms. 18

19 4) 4 merchants to gather purchased 8 bags of rice each bag contained 24 kg 5 gms of rice. If They divide the rice equally among themselves what is the weight of rice each one gets? Sol n : Rice in each bag 24.5 kg X kg Total Rice = 196.0kg. No merchants 4Nos. 4) 196 ( Each one get = 49 kgs. VOLUME Add Subtract 1) 3 ltr 250 ml 2) 15 ltr 450 ml 1) 25 ltr 350 ml 2) 64 ltr 450ml + 6 ltr 5 ml + 5 ltr 350 ml - 15 ltr 750 ml - 24 ltr 550 ml ml + 21 ltr 750 ml 09 ltr 6 ml 39 ltr 9 ml 10 ltr 5 ml. 42 ltr 550 ml. Fill in the blanks. 1) The unit of volume is liter. 2) 1 liter = 10 ml. 3) 10 liter = 1 kiloliter. 4) 6kiloliter = 60 liter. 5) 5 ml = ½ liter. 6) 80 liter = 8 kilo liter. Solve : 1) A bottle contains 16 ltr 5 ml of sandal oil. It has filled into bottles of 250 ml each. How Many bottles are required? Sol n : Sandal oil 1 ltr 5 ml. Each bottles 250 ml. Required? ) 15 ( 6-15 Bottles Required = 6 Nos. 2) A can contains 16 ltr 5 of petrol. Find the total quantity of petrol contained in 25 such Tins? Sol n : Each can contains 16 ltr 5 ml. No of can X Total quantity of Petrol = 412 ltr 5 ml. 19

20 3) Raju has 14 can of milk. Each one of them contains 8 ltr 5 ml of milk. He fall all the milk Into four big cans of the same size. What is the quantity of milk contained in big can? Sol n : Milk in each can 8.5 ltr. No of cans X Total milk ) 119 ( No of cans Milk contained in each big can = 29 lit 75 ml. 4) From a vessel of 5 ml capacity, a pot was filled by pouring water 20 times into it. What is The total quantity of water in the pot? Sol n : Capacity of a pot 5 No of pouring water X Total quantity of water = 1 lt. 5) Veena buy 3 ltr 250ml of ground nut oil while returning from her officer. Now her mother Also bought 1 lit 5 ml of ground nut oil on the someday. What is the total quantity of Ground nut bought by them? Sol n : Veena by ground oil 3 ltr 250 ml. No of oil the same day + 1ltr 5 ml. 4 ltr 750 ml. Total quantity of ground nut oil = 4ltr 750ml. 6) A milk man has 25 liters of milk. he sells 16 liter 750 ml of it. Find the quantity of milk left With him? Sol n : Milkman has milk 25 ltr He sells 16ltr 750 ml. 25 ltr 0 ml ltr 750 ml. 08 ltr 250 ml. Total quantity of milk left with him = 8ltr 250 ml. 20

21 60 sec 1 min. 60 min 1 hour. 24 hr 1 day. 7. TIME. Ex. 7.1 I) Donate the following timings in a.m. and p.m. 1) morning a.m. 2) 8.10 night p.m. 3) 1.45 afternoon 1.45 p.m. 4) 4.30 morning 4.30 a.m. 5) 9.45 night 9.45 p.m. 6) 5.35 evening 5.35 p.m. II) Convert the following timings to 12 hour clock. Timing. Also write in am and pm. 1) hour 2) hour 3) 8.30 hour = a.m. = p.m = 6.40 p.m. 4) hour 5) hour = a.m = 4.45 p.m. Ex 7.2 1) 3 hr 15 min 18 sec and 1 hr 19 min 17 sec. Hour : min : Sec 3 : 15 : 18 1 : 19 : 17 4 : 34 : 35 4 hr 34 min 35 sec. 2) 2 hr 30 min 40 sec and 4 hr 50 min 30 sec. Hour : Min : Sec 1 min = 60 sec. 2 : 30 : sec = 1 min. 4 : 50 : min = 1 hour. 6 : 80 : ± Hr 21 min 10 sec. 3) 3 yr +8 mth and 2yr 7mth 3 yr 8 mth 2yr 7 mth 5 yr 15 mth mth 6 year 03 mth 6 year 3 mth. 21

22 4) 5yr 6 mth and 4 yr 9 mth Yrs mth yr Year 3 mth. Ex 7.3 Subtract the following. 1) 3 hr 20 min 25 sec from 4hr 40 min 50 sec. Hr Min Sec : 20 : 25 2) 1 hr 32 min 45 sec from 3 hr 28 min 37 sec. Hr Min Sec : 55 : 52 3) 6 hr 30 min 40 sec from 9 hr 21 min 30 sec. Hr min Sec : 50 : 50 4) 4 year 11 month from 7 year 5 month. Yr mth 6 : 17 4 : 11 2 : 06 2 years 6 months. 4) 3 year 8 months from 6 year 4 mth. 5 yr 16 mth 3 yr 8 mth 2 yr 8 mth 22

23 Ex. 7.4 Solve : 1) A student enters the examination hall at10:30 am. He completes his examination and leaves the examination hall at 1. pm. How many hours did he has spend in the Sol n : examination hall? Enter the hall 10: 30 am. Leave the hall 1: pm : 30 1: 2: 30 He spends 2 hour 30 min in the examination hall. 2) The student of a school leaves at 8:30 am on one day school picnic. They finished their picnic and returned to school at 8: pm. How many hours did they spend in the picnic including journey time? Sol n : Left 8:30 am. Leaves 8: pm. 11: 60 12: 8: 30 3: : 11: 30 Hours spend in the picnic or journey=11 hr 30 min. 3) Shayam comes to his office at 9: am. He works 8 hour in office. What time does he leave his office in the evening? Sol n : Comes to office 9: am. Works 8 hours He leaves his office at = 5 pm. 4) A worker enters the factory at 6:15 am. He finishes his work and leaves the factory at 2: 15 Pm. For how many hours he worked in factory? Sol n : Enters 6:15 Leaves 2:15 11 : : - 6 : 15 5: : 15 7 : 60 = 8 hours. He worked in factory = 8 Hours. 23

RATIO, PROPORTION AND UNITARY METHOD

8 RATIO, PROPORTION AND UNITARY METHOD 1. The males and females in a village are in the ratio 8 : 3. If the number of females is 405. How many males are there in the village? Ans. Let number of males be