MPL_G5_Maths_TB AK_All Terms

Teacher Reference: Textbook Note to teacher: The IMAX Workbook Teacher Reference shows step-by-step solutions with extra detail, to help teachers guide students. While supporting learners to solve sums, teachers should not look for language that exactly matches the ‘Teacher Reference’. Instead, teachers should check if the learners have followed the correct steps to find the solution. Chapter 1: Shapes Concept 1.1: Identify and Classify Angles Drill Time 1) Measure these angles using a protractor. Then mention what type of angle each of these figures represent. P XZ D A M Y c) N B CQ R b) 45°; Acute angle OF E d) a) b) c) 90°; Right angle e) Solution: a) 125°; Obtuse angle d) 180°; straight angle e) 45°; Acute angle TB: Shapes

Teacher Reference: Textbook Chapter 1: Shapes Concept 1.2: Nets and Views of Solids Drill Time 2) Draw the top, side and front views of these solids. Side view Front view Top view a) b) c) d) TB: Shapes

Teacher Reference: Textbook Chapter 2: Patterns Concept 2.1: Patterns in Rotation Drill Time 1) Rotate the following figures by 1 , 1 and 1 turns and draw how they look after the turns. 23 4 Shape 1 1 1 2 turn turn 4 turn 3 a) Pb) J PJ Jc) P PJ d) 2) Complete these patterns: a) ___________, ____________ TB: Patterns

Teacher Reference: Textbook b) ____________, ___________ c) A AA Ad) ___________, ___________ AA _______________, ______________ 3) Find the missing figure to complete the following patterns. a) b) c) d) TB: Patterns

Teacher Reference: Textbook Chapter 2: Patterns Concept 2.2: Patterns in Numbers Drill Time 4) Complete the following patterns: a) 2, 6, 10 , 14, 18 b) 1, 12, 23, 34 , 45 c) 17, 15, 13, 11, 9 d) 50, 41, 32 , 23, 14 5) Complete the patterns given: a) 0, 2, 6, 12, 20, 30 , 42 b) 2, 4, 8, 16, 32 , 64 c) 22 × 22 = 484 202 × 202 = 40804 2002 × 2002 = 4008004 20002 × 20002 = 400080004 d) (9 – 1) ÷ 8 = 1 (98 – 2) ÷ 8 = 12 ( 987 – 3) ÷ 8 = 123 (9876 – 4) ÷ 8 = 1234 6) Word problems a) Afzal has ` 1000 with him. He spends some amount while travelling to school everyday. At the end of Day 1, he has ` 965. Similarly, at the end of Day 2, Day 3 and Day 4 he found that he has ` 930, ` 895 and ` 860 respectively. How much money will Afzal have at the end of Day 5? b) The jasmine creeper in Saritha’s garden had 5 flowers on Monday, 10 flowers on Tuesday, 20 flowers on Wednesday and so on. How many flowers would bloom on the jasmine creeper on Sunday? Solution: a) ` 825 b) 320 flowers TB: Patterns

Teacher Reference: Textbook Chapter 3: Large Numbers Concept 3.1: Indian and International Systems of Numeration Drill Time 1) Write the successor and the predecessor of the following numbers. Number Successor Predecessor 62590 a) 62591 62592 59103 18502 b) 59104 59105 70000 28500 c) 18503 18504 d) 70001 70002 e) 28501 28502 2) Separate the periods with commas and write the number names of the following in the Indian and International systems of numeration. Number Indian system International system a) 872492853 87,24,92,853 872,492,853 eighty-seven crore twenty-four lakh eight hundred seventy-two ninety-two thousand eight hundred million four hundred ninety-two thousand eight hundred fifty-three fifty-three b) 658392759 65,83,92,759 658,392,759 sixty-five crore eighty-three lakh six hundred fifty-eight million three ninety-two thousand seven hundred hundred ninety-two thousand seven fifty-nine hundred fifty-nine c) 124654368 124,654,368 one hundred twenty-four million six 12,46,54,368 hundred fifty-four thousand three twelve crore forty-six lakh fifty-four thousand three hundred sixty-eight hundred sixty-eight TB: Large Numbers

Teacher Reference: Textbook Number Indian system International system d) 765401954 76,54,01,954 765,401,954 e) 378954726 seventy-six crore fifty-four lakh one seven hundred sixty-five million four hundred one thousand nine hundred thousand nine hundred fifty-four fifty-four 37,89,54,726 thirty-seven crore eighty-nine 378,954,726 lakh fifty-four thousand seven three hundred seventy-eight million hundred twenty-six nine hundred fifty-four thousand seven hundred twenty-six 3) Fill in the blanks with >, < or =. a) 4,34,12,456 < 4,34,21,456 b) 2,31,98,896 < 6,87,98,541 c) 7,97,43,111 > 6,12,41,845 d) 1,67,91,941 < 1,76,19,149 4) Arrange the numbers in the ascending and descending orders. Numbers Ascending Order Descending Order a) 85714781, 57294769, 18372657 18372657 < 57294769 < 85714781 > 57294769 > 85714781 18372657 b) 17485729, 91845726, 75638462 17485729 < 75638462 < 91845726 > 75638462 > 91845726 17485729 c) 38593010, 75639205, 75927592 38593010 < 75639205 < 75927592 > 75639205 > 75927592 38593010 d) 10101010, 11010101, 10010101 10010101 < 10101010 < 11010101 > 10101010 > 11010101 10010101 TB: Large Numbers

Teacher Reference: Textbook Chapter 3: Large Numbers Concept 3.2: Roman Numerals Drill Time 5) Write the following in Roman numerals. a) 983 = CMLXXXIII b) 804 = DCCCIV c) 1481 = MCDLXXXI d) 294 = CCXCIV e) 1000 = M 6) Write the following in the Hindu-Arabic numerals: a) CLXX = 170 b) LXVII = 67 c) DL = 550 d) MCML = 1950 e) LXIX = 69 7) Word problems a) A train travelled MDCVIII km on day one. The same train travelled MDCLV km on day two. On which day did the train travel farther? b) In a car race, Neha scores LXVI points and Raju scores XXV points. Who wins the race? Solution: a) MMMCCLXIII b) Neha TB: Large Numbers

Teacher Reference: Textbook Chapter 4: Addition and Subtraction Concept 4.1: Add and Subtract Large Numbers Drill Time 1) Solve: a) 96704319 + 32640521 = 129344840 b) 2680054 + 1098366 = 3778420 c) 3456786 + 2576987 = 6033773 d) 45678968 + 76894533 = 122573501 2) Solve: a) 89372051 – 76419265 = 12952786 b) 5396104 – 2278160 = 3117944 c) 9623175 – 8892431 = 730744 d) 8235676 – 5629012 = 2606664 3) Word problems a) There are 35,26,107 mango trees and 24,01,271 apple trees on a farm. How many trees are there in all? b) A car manufacturing company manufactured 5429756 cars in 2015 and 6721058 cars in 2016. How many more cars were manufactured in 2016 than in 2015? c) Smitha’s ribbon is 378214 cm long, and Keerthi’s ribbon is 387261 cm long. Whose ribbon is longer and by how much? d) A scooter costs ` 68925 and a car costs ` 923755. How much costlier is the car than the scooter? Solution: a) 59,27,378 trees b) 1291302 cars c) Keerthi’s ribbon is longer by 9047 cm d) Car is costlier than a the scooter by ` 854830 TB: Addition and Subtraction

Teacher Reference: Textbook Chapter 5: Multiplication Concept 5.1: Multiply Large Numbers Drill Time 1) Solve: a) 12345 × 7 = 86415 b) 90962 × 113 = 10278706 c) 3578 × 575 = 2057350 d) 8869 × 450 = 3991050 e) 5124 × 52 = 266448 2) Word problems a) A cloth factory produces 32674 m of cloth in a week. How many metres of cloth can the factory produce in 6 weeks? b) A table costs ` 1354. Find the cost of 73 such tables. c) Find the product of the largest 4-digit number and the largest 2-digit number. d) There are 5606 bags of rice in a storehouse. If each bag weighs 62 kg, what is the total weight of the bags of rice? Solution: a) 196044 m b) ` 98842 c) 989901 d) 347572 kg TB: Multiplication

Teacher Reference: Textbook Chapter 6: Division Concept 6.1: Divide Large Numbers Drill Time 1) Divide: a) 43243 by 23 = Quotient = 1880; Remainder = 3 b) 50689 by 14 = Quotient = 3620; Remainder = 9 c) 52043 by 18 = Quotient = 2891; Remainder = 5 d) 21861 by 5 = Quotient = 4372; Remainder = 1 e) 72568 by 4 = Quotient = 18142; Remainder = 0 2) Word problems a) Which of the numbers among 2, 3, 4, 5, 6, 9 and 10 divide 893205? b) Which of the numbers among 2, 3, 4, 5, 6, 9 and 10 divide 24688? Solution: a) 3, 5, 9 b) 2, 4 TB: Division

Teacher Reference: Textbook Chapter 6: Division Concept 6.2: Factors and Multiples Drill Time 3) Find the factors of the following: a) 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36 b) 49 = 1, 7, 49 c) 100 = 1, 2, 4, 5, 10, 20, 25, 50, 100 d) 120 = 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 e) 91 = 1, 7, 13, 91 4) Find the multiples of the following as given in the brackets: a) 7 (First 8) = 7, 14, 21, 28, 35, 42, 49, 56 b) 15 (First 5) = 15, 30, 45, 60, 75 c) 100 (First 10) = 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000 d) 25 (First 4) = 25, 50, 75, 100 e) 30 (First 6) = 30, 60, 90, 120, 150, 180 5) Find the highest common factor of the following pairs of numbers. a) 12, 20 = 4 b) 15, 27 = 3 c) 24, 48 = 24 d) 16, 64 = 16 e) 30, 45 = 15 6) Find the least common multiple of the following pairs of numbers. a) 8, 10 = 40 b) 12, 15 = 60 c) 16, 20 = 80 d) 22, 33 = 66 e) 15, 30 = 30 TB: Division

Teacher Reference: Textbook Chapter 6: Division Concept 6.3: H.C.F. and L.C.M. 7) Prime factorise the following using the factor tree method. a) 108 = 2 × 2 × 3 × 3 × 3 b) 128 = 2 × 2 × 2 × 2 × 2 × 2 × 2 c) 56 = 2 × 2 × 2 × 7 d) 48 = 2 × 2 × 2 × 2 × 3 e) 63 = 3 × 3 × 7 8) Solve: a) Find the L.C.M. of 32 and 56 by prime factorisation. Solution: 224 b) Find the H.C.F. of 25 and 75 by prime factorisation. Solution: 25 c) Find the H.C.F. of 96 and 108 by prime factorisation. Solution: 12 d) Find the L.C.M. of 45 and 75 by prime factorisation. Solution: 225 TB: Division

Teacher Reference: Textbook Chapter 7: Time Concept 7.1: Convert Time Drill Time 1) Convert into days. a) 4 years 5 weeks = 1495 days b) 3 years 10 days = 1105 days c) 2 years 15 days = 745 days d) 4 years 20 days = 1480 days e) 1 year 3 weeks = 386 days 2) Convert the given time to hours. a) 240 minutes = 4 hours b) 360 minutes and 3600 seconds = 7 hours c) 180 minutes = 3 hours d) 300 minutes and 3600 seconds = 6 hours 3) Word problems a) A bus takes 1 hour and 25 minutes to reach a bus stand. It stops 5 times for 45 seconds at each stop to pick up passengers. For how many minutes did the bus stop? b) Amit reached his house from school in 110 minutes. Find the time taken by Amit to reach his house in hours and minutes. Solution: a) 3 min 45 s b) 1 h 50 min TB: Time

Teacher Reference: Textbook Chapter 7: Time Concept 7.2: Add and Subtract Time Drill Time 4) Add: a) 2 hours 40 minutes and 1 hour 33 minutes = 4 hours 13 minutes b) 3 hours 26 minutes and 2 hours 22 minutes = 5 hours 48 minutes c) 4 hours 31 minutes and 1 hour 28 minutes = 5 hours 59 minutes 5) Subtract: a) 1 hour 30 minutes from 3 hours 75 minutes = 2 hours 45 minutes b) 2 hours 20 minutes from 5 hours 60 minutes = 3 hours 40 minutes c) 1 hour 40 minutes from 6 hours 49 minutes = 5 hours 9 minutes 6) Word problems a) Sohail takes 2 hours 30 minutes to complete his homework and Aditya does the same homework in 145 minutes. Who takes less time to complete homework? b) Preeti spends 70 minutes on the playground and Andy spends 1 hour 900 seconds on the playground. How much more time Andy does spend than Preeti on the playground? Solution: a) Aditya b) 5 minutes TB: Time

Teacher Reference: Textbook Note to teacher: The IMAX Workbook Teacher Reference shows step-by-step solutions with extra detail, to help teachers guide students. While supporting learners to solve sums, teachers should not look for language that exactly matches the ‘Teacher Reference’. Instead, teachers should check if the learners have followed the correct steps to find the solution. Chapter 8: Money Concept 8.1: Unitary Method in Money Drill Time Word problems a) The cost of 15 apples is ` 84. What is the cost of 20 apples? b) Eight pairs of slippers cost ` 328. How much does a dozen pair of slippers cost? c) The cost of five textbooks is ` 525. How many textbooks can be bought for ` 945? d) Rahul observed that a pack of five creams, each of 150 g, costs ` 500 and another pack of six creams each of 100 g costs ` 450. Which pack should Rahul buy so that he spends lesser amount? e) The cost of 20 kg of potatoes is ` 310. What is the cost of 12 kg of potatoes? Solution: a) ` 112 b) ` 492 c) 9 books d) a pack of five creams, each of 150 g e) ` 186 TB: Money

Teacher Reference: Textbook Chapter 9: Fractions-I Concept 9.1: Equivalence of Fractions Drill Time 1) Check if the fractions are equivalent. a) 5 and 5 b) 3 and 14 c) 8 and 24 8 21 21 35 23 46 d) 3 and 9 e) 4 and 5 c) No 27 81 25 50 Solution: a) No b) No d) Yes e) No TB: Fractions-I

Teacher Reference: Textbook Chapter 9: Fractions-I Concept 9.2: Fraction in its Lowest Terms Drill Time 2) Reduce these fractions using H.C.F. a) 24 b) 36 c) 42 d) 12 e) 12 48 60 70 36 30 Solution: a) 1 b) 3 c) 3 d) 1 e) 2 2 5 5 3 5 3) Reduce these fractions using division. d) 6 e) 3 24 27 a) 36 b) 42 c) 26 1 72 84 91 d) 1 4 e) Solution: a) 1 b) 1 c) 2 9 2 2 7 TB: Fractions-I

Teacher Reference: Textbook Chapter 9: Fractions-I Concept 9.3: Compare Unlike Fractions Drill Time 4) Compare the following unlike fractions: a) 3 , 2 b) 3 , 4 c) 8 , 7 7 14 21 42 9 18 d) 5 , 3 e) 11, 5 c) 8 > 7 11 7 48 9 18 Solution: a) 3 > 2 b) 3 > 4 7 14 21 42 d) 5 > 3 e) 11 > 5 11 7 48 TB: Fractions-I

Teacher Reference: Textbook Chapter 9: Fractions-I Concept 9.4: Add and Subtract Unlike Fractions Drill Time 5) Solve: b) 4 + 3 c) 4 + 1 a) 3 + 5 14 12 15 10 4 13 19 5 26 d) + e) + 100 10 16 30 Solution: a) 59 b) 90 55 52 168 c) 150 d) 69 e) 156 c) 13 – 14 100 480 30 60 6) Solve: b) 14 – 3 a) 4 – 3 30 24 9 11 d) 3 – 4 e) 15 – 16 15 30 20 40 Solution: a) 17 b) 246 c) 12 99 720 60 d) 2 e) 14 30 40 7) Word problems a) Usha played the keyboard for 7 of an hour and did her homework for 5 of an hour. Did she 30 12 spend the same amount of time for both the activities? b) William ate 3 of a chocolate bar and Wasim ate 1 of the chocolate. Did they eat the same 16 4 part of the chocolate? Who ate less? TB: Fractions-I

Teacher Reference: Textbook c) Mani and Roja were painting a rectangular cardboard each. Mani painted 15 of the cardboard in an hour and Roja painted 18 of the cardboard in the 25 30 same time. Who is more efficient? d) Sudheer saves ` 360 per month from his salary of ` 3600. Hari saves ` 200 per month from his salary of ` 2400. What fraction of their salary did each of them save? e) Pavani used 450 cm of satin ribbon from a bundle of satin ribbon of length 3000 cm. What fraction of the satin ribbon is used? Solution: a) No b) No, William c) Both are equal d) Sudheer saves 1 of his salary and Hari saves 1 of his salary 10 12 e) 3 20 TB: Fractions-I

Teacher Reference: Textbook Chapter 10: Fractions - II Concept 10.1: Add and Subtract Mixed Fractions Drill Time 1) Solve: b) 2 1 + 7 2 c) 12 1 + 13 2 d) 10 1 2 a) 3 4 + 2 3 85 75 + 12 75 33 b) 381 c) 894 Solution: a) 216 40 35 d) 69 35 3 b) 10 1 – 5 3 2) Solve: 27 1 –21 b) 71 c) 7 2 – 4 1 d) 12 3 – 11 2 a) 4 14 84 89 37 c) 24 83 Solution: a) 46 8 d) 21 72 TB: Fractions - II

Teacher Reference: Textbook Chapter 10: Fractions - II Concept 10.2: Multiply Fractions Drill Time 3) Multiply fractions by whole numbers. a) 12  64 b) 3  80 c) 4  100 d) 3  49 32 8 20 7 Solution: a) 24 b) 30 c) 20 d) 21 4) Multiply fractions by fractions. 7 45 d)  a) 22  26 b) 4  16 c) 3  51 13 44 12 24 17 21 15 49 3 3 Solution: a) 1 2 d) b) c) 7 7 9 TB: Fractions - II

Teacher Reference: Textbook Chapter 10: Fractions - II Concept 10.3: Reciprocals of Fractions Drill Time 5) Find the reciprocal of the following: a) 27 b) 2 1 d) 50 53 c) 5 23 2 d) 23 50 Solution: a) 1 b) 53 c) 2 27 2 11 11 d) by 6) Divide: b) 14 by 2 1 a) 16 by 1 7 c) by 3 7 49 4 d) 7 42 Solution: a) 64 b) 49 c) 1 126 TB: Fractions - II

Teacher Reference: Textbook Chapter 11: Decimals - I Concept 11.1: Like and Unlike Decimals Drill Time 1) Write the following numbers in the decimal place value chart. a) 42.874 b) 315.097 c) 2795.741 d) 127.243 Solution: Thousands Hundreds Tens Ones (.) Tenths Hundredths Thousandths 1000 100 10 11 1 1 10 100 1000 a) 42.874 4 2. 8 7 4 b) 315.097 3 1 5. 0 9 7 c) 2795.741 2 7 9 5. 7 4 1 d) 127.243 1 2 7. 2 4 3 2) Write the expanded forms of the given decimals and then write them in words. a) 3578.048 b) 450.981 c) 32.62 d) 432.789 Solution: Decimal Numbers Expanded Forms Numbers in Words 3 × 1000 + 5 × 100 + 7 × 10 + 8 × Three thousand five hundred seventy-eight point zero four eight a) 3578.048 1 1 +8× 1 b) 450.981 1+0× +4× Four hundred fifty point nine 10 100 1000 eight one 4 × 100 + 5 × 10 + 0 × 1 + 9 × 1 TB: Decimals - I 10 +8× 1 +1× 1 100 1000

Teacher Reference: Textbook Decimal Numbers Expanded Forms Numbers in Words Thirty-two point six two c) 32.62 11 3 × 10 + 2 × 1 + 6 × + 2 × Four hundred thirty-two point seven eight nine 10 100 d) 432.789 1 4 × 100 + 3 × 10 + 2 × 1 + 7 × 10 +8× 1 +9× 1 100 1000 3) Convert the given unlike decimals into like decimals. a) 52.7, 25.28, 321.265, 101.51 b) 42.52, 4.7, 32.472, 48.8 c) 1.7, 32.4, 328.732, 1.82 d) 7.42, 1.821, 7.01, 432.2 Solution: a) 52.700, 25.280, 321.265, 101.510 b) 42.520, 4.700, 32.472, 48.800 c) 1.700, 32.400, 328.732, 1.820 d) 7.420, 1.821, 7.010, 432.200 4) Word problems a) 475 out of 800 parents who attended a parent-teacher meet were women. Write the decimal equivalent of the fraction of men who attended the meet. b) The distance between two places is 3564 m. What is the distance in kilometres? Solution: a) 0.40625 b) 3.564 km TB: Decimals - I

Teacher Reference: Textbook Chapter 11: Decimals - I Concept 11.2: Compare and Order Decimals Drill Time 5) Which is greater of the given pairs of decimal numbers? a) 75.9 and 75.09 b) 32.87 and 32.087 c) 3.52 and 3.5221 d) 372.12 and 347.127 Solution: a) 75.9 b) 32.87 c) 3.5221 d) 372.12 6) Which is smaller of the given decimals? a) 52.6 and 52.609 b) 87.48 and 87.489 c) 585.23 and 585.235 d) 538.72 and 583.72 Solution: a) 52.6 b) 87.48 c) 585.23 d) 538.72 7) Arrange these decimal numbers in the ascending and descending orders. ascending order descending order a) 7.9, 7.91, 8.5, 8.2 7.9 < 7.91 < 8.20 < 8.50 8.50 > 8.20 > 7.91 > 7.90 b) 26.25, 26.85, 32.96, 12.951 12.951 < 26.25 < 26.85 < 32.96 32.96> 26.85 > 26.25 > 12.951 c) 63.824, 63.756, 63.714, 63.823 63.714 < 63.756 < 63.823 < 63.824 63.824 > 63.823 > 63.756 > 63.714 d) 253.98, 253.74, 253.945, 253.732 253.732 < 253.74 < 253.945 < 253.98 > 253.945 > 253.74 > 253.98 253.732 8) Word problems a) Riya scores 35.5 marks in English, 58.50 in Mathematics and 58.75 in Science. Arrange her marks in the descending order and find the subject in which she scored the maximum marks. b) Ravi bought two pumpkins. One of them weighs 8.556 kg and the other weighs 8.305 kg. Which pumpkin is heavier? Solution: a) 35.5 < 58.50 < 58.75, Science b) The pumpkin that weighs 8.556 kg TB: Decimals - I

Teacher Reference: Textbook Chapter 11: Decimals - I Concept 11.3:Add and Subtract Decimals Drill Time 9) Add: a) 528.364 and 974.623 b) 523.97 and 49.25 c) 23.547 and 14.974 d) 242.57 and 132.60 Solution: a) 1502.987 b) 573.22 c) 38.521 d) 375.17 10) Subtract: a) 954.367 – 412.650 b) 234.45 – 142.52 c) 74.812 – 35.634 d) 732.532 – 522.147 Solution: a) 541.717 b) 91.93 c) 39.178 d) 210.385 11) Word problems a) By how much should 41.65 be increased to get 98.53? b) Saritha bought 56.6 litres of water. She used 9.2 litres of water for washing her uniform. Find the quantity of water left. Solution: a) 56.88 b) 47.4 litres TB: Decimals - I

Teacher Reference: Textbook Chapter 12: Decimals - II Concept 12.1: Multiply and Divide Decimals Drill Time 1) Multiply the following: a) 2.498 × 10 b) 32.64 × 53 c) 5.645 × 1000 d) 682.93 × 2.8 e)1.742 × 3.81 Solution: a) 24.98 b) 1729.92 c) 5645 d) 1912.204 e) 6.63702 2) Divide the following: a) 6.78 ÷ 10 b) 88.8 ÷ 20 c) 124.8 ÷ 16 d) 3.0525 ÷ 5.5 e) 832.5 ÷ 2.5 Solution: a) 0.678 b) 4.44 c) 7.8 d) 0.555 e) 333 3) Word problems a) The daily wages of a labourer is ` 120.85. Find the daily wages of 26 labourers. b) The consumption of petrol by a truck per 2 weeks is 101.25 litres. How many litres of petrol does it consume per day? Solution: a) ` 3142.1 b) 7.23 litres TB: Decimals - I

Teacher Reference: Textbook Chapter 12: Decimals - II Concept 12.2: Percentages Drill Time 4) Convert these fractions into percentages. a) 21 b) 67 c) 20 d) 83 e) 32 50 100 45 150 100 Solution: a) 42% b) 67% c) 44.44% d) 55.33% e) 32% 5) Convert these percentages into fractions. d) 53% e) 24% d) 53 24 a) 0.45% b) 7.6% c) 43% Solution: a) 45 b) 76 c) 43 100 e) 100 100 1000 100 Percent 150% 6) Complete the table. 80% 26% S. No Decimal Fraction 18% 65% a) 1.5 15 10 b) 0.8 8 10 c) 0.26 26 100 d) 0.18 18 100 e) 0.65 65 100 TB: Decimals - I

Teacher Reference: Textbook 7) Word problems a) There are 30 blue ribbons and 50 red ribbons in a box. What are the percentages of blue ribbons and red ribbons in the box? b) Of a group of 25 children in a locality,18 know singing. What percent of children do not know singing? Solution: a) 37.5% and 62.5% b) 28% TB: Decimals - I

Teacher Reference: Textbook Chapter 13: Measurements Concept 13.1: Perimeter, Area and Volume Drill Time 1) Find the perimeter and area of the following: a) Square with side 8 cm b) Rectangle with l = 12 cm and b = 2 cm c) A B d) P 3 cm 10 cm 8 cm R 6 cm DC Q 14 cm Solution: a) 32 cm and 64 sq.cm b) 28 cm and 24 sq.cm c) 34 cm and 42 sq.cm d) 24 cm and 24 sq.cm 2) Find the volume of the following: a) A cube with side 9 cm b) A cube with side 7 cm c) A cuboid with l = 2 cm, b = 3 cm, h = 4 cm d) A cuboid with l = 3 cm, b = 2 cm, h = 5 cm e) A cube with side 5 cm Solution: a) 729 cu. cm b) 343 cu. cm c) 24 cu. cm d) 30 cu. cm e) 125 cu. cm TB: Measurements

Teacher Reference: Textbook 3) Word problems a) If two squares of side 30 cm each are joined to form a rectangle, what is the area of the rectangle? b) A box has a square base of side 5 cm. What is its volume if the height of the box is 8 cm? c) Which has a greater volume - a cuboid of length 12 cm, breadth 8 cm and height 5 cm or a cube of edge 7 cm? Solution: a) 1800 sq. cm b) 200 cu. cm c) Cuboid as 480 cu. cm > 343 cu. cm TB: Measurements

Teacher Reference: Textbook Chapter 14: Data Handling Concept 14.1: Circle Graphs Drill Time Solve the following: a) Draw the circle graph based on the following data. Pets owned by people Percentage of people Dog 30% Cat 15% Fish 20% 10% Rabbit 25% Parrot Solution: PETS OWNED BY PEOPLE Parrot Dog 25% 30% Rabbit Cat 10% 15% Fish 20% TB: Data Handling

Teacher Reference: Textbook b) Raghu spends his day as given in the table here. At school 8 hours Playing 2 hours 2 hours Doing homework 1 hour 3 hours Reading 8 hours Routine work Sleeping Solution: RAGHU SPENDS HIS DAY Sleeping At School 8 hours 8 hours Routine Playing work 2 hours 3 hours Doing homework Reading 1 hours 2 hours Draw a circle graph and colour the groups with different colours. (Hint: Divide the circle into 24 equal parts as 24 hours = 1 day) TB: Data Handling

Teacher Reference: Textbook c) The data shows the students with their favourite sports. Draw a circle graph based on the data. Favourite sport Percentage of students Football 25% Cricket 50% Basketball 25% Solution: FAVOURITE SPORT Basketball Football 25% 25% Cricket 50% TB: Data Handling