84651_VI - 70_222310048-VISA-STUDENT-WORKBOOK-MATHEMATICS-G05-PART2_CompressPdf

5 MATHEMATICS WORKBOOK PART-2 Name: ____________________________ Section: ________________ Roll No.: ______ School: ____________________________

Preface ClassKlap partners with schools, supporting them with learning materials and processes that are all crafted to work together as an interconnected system to drive learning. ClassKlap presents the latest version of the VISA NEP series – updated and revised after considering the perceptive feedback and comments shared by our experienced reviewers and users. Designed specifically for CBSE schools, the VISA NEP series endeavours to be faithful to the spirit of the National Curriculum Framework (NCF) 2005. Therefore, our books strive to ensure inclusiveness in terms of gender and diversity in representation, catering to the heterogeneous Indian classroom. The aim of the NCF 2005 regarding Mathematics teaching is to develop the abilities of a student to think and reason mathematically, pursue assumptions to their logical conclusion and handle abstraction. The VISA NEP Mathematics textbooks and workbooks for CBSE schools offer the following features:  Structured as per Bloom’s taxonomy to help organise the learning process according to the different levels involved  Student engagement through simple, age-appropriate language  Supported learning through visually appealing images, especially for grades 1 and 2  Increasing rigour in sub-questions for every question in order to scaffold learning for students  W ord problems based on real-life scenarios, which help students to relate Mathematics to their everyday experiences  Mental Maths to inculcate level-appropriate mental calculation skills  S tepwise breakdown of solutions to provide an easier premise for learning of problem-solving skills  S upplemental practice questions included at the end of each chapter, for revision and exam preparation Overall, the ClassKlap VISA NEP Mathematics textbooks, workbooks and teacher companion books aim to enhance logical reasoning and critical thinking skills that are at the heart of Mathematics teaching and learning. – The Authors

I Recall I Remember and Understand Aims at revising the prerequisite Provides opportunities for practising knowledge for the concept from the basic elements involved in the the previous year/chapter/ learning of the concept concept/term I Apply Applies the understanding of the concept to questions related to real-life scenarios I Explore (H.O.T.S.) Extends the concept to more advanced and challenging questions that meet the criteria of higher order thinking skills Practice Questions Aims at revising the chapter with supplemental practice questions

8 Money Class 8.1 Unitary Method in Money 5 9 Fractions - I 1 9.1 Equivalence of Fractions 7 9.2 Fraction in its Lowest Terms 14 9.3 Compare Unlike Fractions 20 9.4 Add and Subtract Unlike Fractions 27 10 Fractions - II 36 42 10.1 Add and Subtract Mixed Fractions 48 10.2 Multiply Fractions 10.3 Reciprocals of Fractions 58 63 11 Decimals - I 68 11.1 Like and Unlike Decimals 79 11.2 Compare and Order Decimals 85 11.3 Add and Subtract Decimals 94 12 Decimals - II 104 12.1 Multiply and Divide Decimals 12.2 Percentages 13 Measurements 13.1 Perimeter, Area and Volume 14 Data Handling 14.1 Circle Graphs

Chapter Money8 Concept 8.1: Unitary Method in Money 8.1 I Recall Multiple Choice Questions 1) ` 200.20 + ` 100.10 is ____________. [] [] (A) ` 200.10 (B) ` 100.20 (C) ` 300.30 (D) ` 300.10 [] (D) ` 2000 2) ` 200 ÷ 10 is ____________. (D) ` 2000.10 (A) ` 20 (B) ` 10 (C) ` 200 3) ` 100.10 × 20 is ____________. (A) ` 200 (B) ` 2002 (C) ` 2000 8.1 I Remember and Understand Multiple Choice Questions 4) If the cost of 3 pencils is ` 6, then the cost of 2 pencils is ___________.  [] (A) ` 4 (B) ` 6 (C) ` 36 (D) ` 18 5) To find the value of a single unit from the value of many units, we use __________. [ ] (A) division (B) addition (C) subtraction (D) multiplication 6) To find the value of many units from the value of a single unit, we use __________. [ ] (A) division (B) addition (C) subtraction (D) multiplication Fill in the Blanks 7) If the cost of 4 chocolates is ` 12, the cost of 5 chocolates is ____________. 8) The method of finding the value of _______________________ unit, and then finding the value of many units is called the unitary method. 1

9) If the cost of 8 stamps is ` 8, the cost of 6 stamps is ____________. Very Short Answer Questions 10) A man spends ` 64 in 8 hours. How much money will he spend in 5 hours? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11) A woman earns ` 120 in 10 hours. How much will she earn in 4 hours? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12) 9 mugs cost ` 99. What is the cost of 3 mugs? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Short Answer Questions 13) The cost of 15 chocolates is ` 135. What is the cost of 21 chocolates? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. 14) The cost of 20 mangoes is ` 400. What is the cost of 12 mangoes? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. Long Answer Questions 15) a) The total cost of 24 boxes is ` 480. How many boxes can be bought for ` 1280? b) The total cost of 15 bags is ` 555. What is the cost of 32 bags? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 2

................................................................................. 16) a) The cost of 36 apples is ` 1080. How many apples can be bought for ` 1440? b) If the cost of 27 pears is ` 621, what is the cost of 35 pears? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 8.1 I Apply Short Answer Questions 17) S ukhwinder gets paid ` 1650 for 11 days of work. Zeenat gets paid ` 1400 for 7 days work. Who earns more money daily? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. 18) T he cost of 18 ruled books is ` 324. The cost of 20 unruled books is ` 340. Which book is less expensive? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. Money 3

Long Answer Questions 19) 19 kg of onions cost ` 855 in a mall. 11 kg of onions cost ` 407 in the vegetable market. Ahmed needs to buy 5 kg of onions. Where should he go to find cheaper onions? How much does he need to pay? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 20) T he cost of 3 milk chocolate packets with 100 chocolates in each packet is ` 1050. The cost of 5 packets of dark chocolates with 50 chocolates in each packet is ` 1000. Which type of chocolate costs less? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 8.1 I Explore (H.O.T.S.) Short Answer Question 21) P riya purchased a remote-controlled car in the U.S. for $10. What was the cost of the remote-controlled car in Indian rupees? (1 U.S. dollar = ` 72.98 as on 6th November 2018) 4

Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Question 22) A li works for a U.S. company for a salary of $ 840 per week. Titu works for a U.A.E. company for a salary of 12000 Dirhams per month (1 month = 30 days). Who earns more in terms of Indian currency? (1 U.S. dollar = ` 72.80, 1 Dirham = ` 19.87 as on 6th November 2018) Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Money 5

Practice Questions 1) Add: a) ` 936.51 + ` 803.87 b) ` 565.98 + ` 699.50 c) ` 968.80 + ` 36 e) ` 495.22 + ` 111.11 d) ` 12.25 + ` 663 2) Subtract: b) ` 785.18 – ` 299.09 c) ` 68.80 – ` 28 a) ` 456.78 – ` 303.12 e) ` 965.88 – ` 234.56 d) ` 712.25 – ` 703.89 3) Multiply: a) ` 456.78 × 12 b) 18 × ` 111.11 c) ` 990.90 × 50 e) ` 999.99 × 99 d) ` 456 × 69 4) Divide: a) ` 157.56 ÷ 13 b) ` 388.85 ÷ 35 c) ` 1652.25 ÷ 15 d) ` 720 ÷ 45 e) ` 8271.15 ÷ 67 5) A ditya purchased a shirt for ` 555.55 and trousers for ` 859.90. Find the total cost of both the items. 6) Shravya bought a TV for ` 8999. The sales tax is ` 1619.82. She paid the amount with all 2000 rupee notes. How much money did the shopkeeper return? 7) T he cost of diesel is ` 77.17 per litre. The fuel tank of a school bus can hold 225 litres. How much will it cost to fill up the fuel tank? 8) Amit and his 7 family members went to a restaurant on his birthday. The total bill came to ` 4248 including GST. What was the cost per head? 9) Maya’s father bought a new mobile phone for her mother. The cost of the phone is ` 20,650 including Goods and Service Tax (GST). If the GST is ` 18 per hundred rupees, what is the cost of the mobile excluding the GST? 10) The cost of 10 chairs including tax is ` 7611. If the tax on the total bill is ` 1161, then find the cost of each chair before the tax. 6

Chapter Fractions - I 9 Concept 9.1: Equivalence of Fractions 9.1 I Recall Multiple Choice Questions 1) The multiples of a number are obtained by ________________________ 1, 2, 3 and so on.  [] (A) adding to it (B) multiplying it by (C) subtracting from it (D) dividing it by 2) The factors of 7 are 1 and ________.  [] (A) 7 (B) 28 (C) 14 (D) 21 3) The numbers that divide a given number exactly are called its __________. [] (A) denominators (B) numerators (C) multiples (D) factors 9.1 I Remember and Understand Multiple Choice Questions 4) To check if two fractions are equivalent, we __________ them. [] [] (A) divide (B) equate (C) cross multiply (D) multiply [] 1 5) Which of the following is an equivalent fraction of 2 ? (A) 2 (B) 3 (C) 4 (D) 5 4 4 44 6) The cross product of 2 and 4 is __________. 35 (A) 2 × 5 and 3 × 5 (B) 2 × 4 and 3 × 5 (C) 2 × 5 and 3 × 4 (D) 2 × 3 and 4 × 5 7

Fill in the Blanks 7) If the cross products are equal, the given fractions are _____________________________. 8) Fractions that denote the same part of a _______________ are called equivalent fractions. 9) In cross-multiplication, we multiply the _________________________ of a fraction by the denominator of the other. Very Short Answer Questions 10) Are the fractions 3 and 9 equivalent? 48 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11) Write any pair of equivalent fractions which will have 2 × 3 = 6 and 6 × 1 = 6 as cross products. Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12) Are the fractions 5 and 2 equivalent? 15 6 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Short Answer Questions 9 36 12 13) Check for equivalence of the fractions: a) and 52 b) and 13 3 6 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. 14) Check if the fractions are equivalent or not. a) 3 and 9 b) 5 and 10 5 13 6 18 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. 8

................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Questions 15) Check if these fractions are equivalent or not. a) 4 and 28 b) 7 and 35 c) 3 and 30 d) 6 and 36 7 49 11 55 4 44 9 54 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 16) Check if these fractions are equivalent or not. a) 13 and 65 b) 12 and 11 c) 12 and 36 d) 26 and 14 25 150 85 78 25 81 39 21 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Fractions - I 9

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 9.1 I Apply Short Answer Questions 21 17) Rishi and Kushal participated in a running race. Rishi ran 40 of the distance and Kushal ran 18 of the distance in 5 minutes. Did they run equal distances? 30 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 18) Raghu and Raju participated in a painting competition. Raghu painted 18 of his 30 painting and Raju painted 15 of his painting in an hour. Did they both paint an equal 25 part of their paintings? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. 10

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Questions 21 19) a) Lalita plays tennis for 26 of a month and chess for 13 of a month. Does she spend the same amount of time for both the games? b) S mita sings for 3 days of a week while Rajan sings for 15 days of the month. Do they both spend the same amount of time for singing? (1 month = 30 days) Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Fractions - I 11

20) a) R akshak solves problems in Maths for 4 of an hour. He studies Marathi for 5 of an 79 hour. Does he spend the same amount of time for both the subjects? b) Shami and Sheela cut two cakes of the same size on their birthdays. Shami ate 2 of 6 the cake while Sheela ate 4 of the cake. Did both eat an equal part of their cakes? 12 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 9.1 I Explore (H.O.T.S.) Short Answer Question 21) Given that the fractions are equivalent, find the missing number. 1 and 2 5? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. 12

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Question 22) If the given fractions are equivalent, find the missing numbers. a) 3 and 9 b) ? and 4 6? 7 14 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Fractions - I 13

Concept 9.2: Fraction in its Lowest Terms 9.2 [] I Recall [] [] Multiple Choice Questions 1) The H.C.F. of 2 and 4 is _________________. [] (A) 3 (B) 4 (C) 2 (D) 8 [] 2) The H.C.F. of 6 and 9 is _________________. [] (A) 3 (B) 9 (C) 8 (D) 6 3) The H.C.F. of 11 and 44 is _________________. (A) 1 (B) 14 (C) 44 (D) 11 9.2 I Remember and Understand Multiple Choice Questions 4) The reduced form of 12 is _________________. 36 (A) 6 (B) 4 (C) 3 (D) 1 18 13 9 3 5) The reduced form of 1 is _________________. 6 (A) 1 (B) 1 (C) 1 (D) 1 3 2 6 12 6) The H.C.F. of 8 and 20 is _________________. (A) 4 (B) 8 (C) 5 (D) 40 Fill in the Blanks 7) The factors of 4 are 1, 2 and _________________. 8) The reduced form of 9 is _________________. 27 9) The H.C.F. of 5 and 25 is _________________. 14

Very Short Answer Questions 10) Express 8 in its lowest terms. 12 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11) Express the fraction 24 in its lowest terms. 42 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12) Write the common factors of 12 and 48. Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. Short Answer Questions b) 14 13) Reduce the given fractions to their lowest terms using H.C.F. a) 65 49 91 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 14) Reduce the fractions using the division method. a) 20 b) 63 90 84 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Fractions - I 15

Long Answer Questions 15) Reduce the following fractions using H.C.F. a) 32 b) 45 c) 45 d) 85 72 54 60 119 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 16) Reduce the given fractions using H.C.F. a) 12 b) 27 c) 36 d) 57 18 54 96 152 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 16

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 9.2 I Apply Short Answer Questions 3 17) Renu and Surekha were completing their homework. Renu completed 18 of her homework while Surekha completed 9 of her homework in the same time. Who 54 completed more homework? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Fractions - I 17

18) Rama ate 3 of a fruit salad dish and Shama ate 2 of another fruit salad dish. Did they 16 32 eat the same quantity of the dish? If not, who ate more? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Questions 19) Sita completed 18 of her cursive writing book and Rita completed 4 of the same 81 36 book. Did they both complete the same number of pages of the book? If not, then who has completed more pages and by how much? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 18

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 20 20) Sonu and Monu were wrapping gifts. Sonu wrapped 30 of his gifts in an hour and Monu wrapped 16 of his gifts in the same time. Who is more efficient? 24 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 9.2 I Explore (H.O.T.S.) Short Answer Question 21) Raj spent ` 800 from his salary for petrol. If his salary is ` 12000, can we say that Raj 3 spends of his salary on petrol? 45 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. Fractions - I 19

................................................................................. ................................................................................. ................................................................................. Long Answer Question 22) Madhu spends ` 850 for food and ` 900 on petrol from his monthly salary of ` 12500. Prabhu spends ` 900 for food and ` 950 on petrol from his monthly salary of ` 16500. What fraction of their salaries do each of them spend for food and petrol? Who has more expenses? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Concept 9.3: Compare Unlike Fractions 9.3 I Recall Multiple Choice Questions [] 1) The fractions 4 and 7 are _________________ fractions. 6 15 (A) equivalent (B) like (C) unlike (D) mixed 20

2) The fractions 1 and 7 are _________________ fractions.  [] 11 11 [] (A) unlike (B) like (C) equivalent (D) mixed (D) mixed 3) The fractions 4 and 2 are ________________ fractions. 67 (A) equivalent (B) unlike (C) like 9.3 I Remember and Understand Multiple Choice Questions 4) 2 ________ 1  [] 63 (B) < (C) = (D) both (A) and (C) (A) > (C) = [ (C) = 5) 3 ________ 5  (B) > (D) both (B) and (C) ] 7 14 [ ] (A) < (D) both (A) and (C) 6) 3 ________ 9  (B) > 8 16 (A) < Fill in the Blanks Compare the fractions using <, > or =. 7) 5 ______ 1 63 8) 1 ______ 3 5 10 9) 2 ______ 3 84 Very Short Answer Questions Compare the fractions given in questions 10 to 12 using >, < or =. 10) 5 and 3 84 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Fractions - I 21

11) 7 and 3  62 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12) 4 and 2 63 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Short Answer Questions 13) Compare: a) 9 and 18 b) 18 and 12 11 22 36 16 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 14) Compare: a) 11 and 6 b) 12 and 12 18 15 28 27 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Questions 15) Compare these pairs of fractions. a) 28 and 43 b) 26 and 11 21 and 7 d) 3 and 27 9 13 4 2 c) 24 8 8 32 22

Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 16) Compare the following pairs of fractions. a) 14 and 26 b) 19 and 21 c) 6 and 54 d) 3 and 7 24 36 11 99 8 15 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Fractions - I 23

9.3 I Apply Short Answer Questions 17) Sita and Gita have the same number of apples with them. Sita gave 1 of her apples 4 and Gita gave 1 of her apples to the needy. Who gave fewer apples? 5 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 18) Rohan and Mohan took part in a race. Rohan completed 9 and Mohan completed 16 11 14 of the race in the same time. Who ran more distance? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 24

Long Answer Questions 19) a) Nisha ate 3 of an apple in the morning and 1 of an apple in the evening. When did 46 she eat a bigger piece of the apple? b) Z eenat distributed 3 of a cherry pie and 7 of a pumpkin pie. Which pie did Zeenat 7 12 distribute more? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 20) a) N izam did 3 of his painting in school and 2 of the painting at home. Where did he 75 paint more? b) Ram swam 4 of a lap and Shyam swam 6 of a lap in the same time. Who swam a 5 10 shorter distance? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Fractions - I 25

................................................................................. ................................................................................. 9.3 I Explore (H.O.T.S.) Short Answer Question 21) Colour the figures to represent the given fractions and compare them. 5 and 3 8 4 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. Long Answer Question 22) Arrange the fractions 3 5 , 2, 1 6 in the descending order. 8, 6 4 3 and 8 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 26

................................................................................. ................................................................................. Concept 9.4: Add and Subtract Unlike Fractions 9.4 I Recall Multiple Choice Questions 1) 2 ___________ 1  [] 44 (B) < (C) = (D) both (A) and (C) (A) > (C) = [ (C) = 2) 4 ___________ 2  (B) > (D) both (B) and (C) ] 54 [ ] (A) < (D) both (A) and (C) 3) 1 ___________ 4  36 36 (A) < (B) > 9.4 I Remember and Understand Multiple Choice Questions 4) The sum of 5 and 3 is _________________. [] 42 [] [] (A) 11 (B) 11 8 (D) 8 2 4 (C) 2 4 5) 8 – 3 = _______________ 36 (A) 13 (B) 5 (C) 13 (D) 5 66 33 6) 9 – 11 = _______________ 39 16 (A) 16 (B) 20 (C) 20 (D) 9 3 3 9 Fractions - I 27

Fill in the Blanks 23 7) 4 + 8 = ____________ 8) 1 – 1 = ____________ 24 11 9) 8 + 16 = ____________ Very Short Answer Questions 10) Solve: 2 + 3 13 39 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11) Solve: 8 – 2  93 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12) Solve: 3 + 9 5 10 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Short Answer Questions 13) Subtract 2 from 2 . 63 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. 14) Add 3 and 2 . 10 5 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. 28

Long Answer Questions 15) a) Add: 5 and 9 b) Solve: 48 – 7 16 12 125 25 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 16) a) Add 3 and 9 . b) Subtract 2 from 3 . 15 12 67 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 9.4 I Apply Short Answer Questions 17) Rishi got 4 of a cake and he ate 1 of it. How much of the cake is left? 17 12 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. Fractions - I 29

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 18) 1 of a pan of brownies to Suman and 1 of the brownies to Arhan. What You gave 3 6 fraction of the brownies did you give away? How much of brownies is left? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Questions 19) a) S unny played chess for 5 of an hour and carrom for 11 of an hour. For how much 7 13 less time did Sunny play chess?  b) Pam used 3 cup of flour for the cake mix. Her father used 4 cup of flour. How much 9 11 flour was used for the cake mix? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 20) a) J ai spent 1 of his salary on rent and 1 of it on food. What part of his salary is left by 5 3 the end of the month? b) Joe planted 10 rows with seeds. A few birds flew down to her plant nursery and ate 15 the seeds from 8 of the rows. How many rows of seeds are left in the plant nursery? 15 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Fractions - I 31

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 9.4 I Explore (H.O.T.S.) Short Answer Question 21) Puja walks 7 of a kilometre to her school. Paul walks 1 of a kilometre to his school. Who 82 has to travel a greater distance to reach school and by how much? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Question 22) Michael bought 2 litres of milk. He drank 3 of a litre. He gave 3 of a litre to his brother. 85 How much milk is left? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. 32

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Practice Questions 1) Check if the following fractions are equivalent. a) 10 and 20 b) 8 and 14 c) 50 and 5 9 18 15 45 130 13 2) Find the missing numerators, if the given fractions are equivalent. a) 8 and ? b) ? and 32 c) 1000 and ? 9 108 343 49 1200 6 3) Find the missing denominators, if the given fractions are equivalent. a) 3 and 180 b) 144 and 9 c) 156 and 12 5? ? 11 ? 13 4) Write any four pairs of equivalent fractions. 5) Subtract: a) 1 from 1 b) 114 − 2 from 31 c) 5 from 10 17 26 13 31 Fractions - I 33

6) Reduce the fractions using H.C.F. a) 100 b) 52 c) 108 d) 113 900 130 144 123 7) Reduce the fractions to their lowest forms. a) 625 b) 999 c) 2019 d) 333 1250 1998 2018 222 8) Write any four fractions which can be reduced to their lowest forms using 9 as the H.C.F. 9) Compare the given pairs of unlike fractions. a) 1 and 2 b) 19 and 19 c) 25 and 12 d) 5 and 2 9 18 65 31 13 31 13 10) Write a fraction greater than the given fraction having a different denominator. a) 10 b) 2 c) 8 d) 13 19 3 11 23 11) Arrange the following fractions in ascending order. a) 21 , 32 , 43 , 45 b) 73 , 72 , 75 , 77 c) 181, 89 , 171, 193 d) 210 , 410 , 610 , 1010 12) Arrange the following fractions in descending order. a) 32 , 32 , 34 , 75 b) 73 , 29 , 75 , 79 c) 181, 91 , 171, 89 d) 240 , 450 , 260 , 470 13) Add: a) 13 + 2 b) 19 + 19 c) 5 + 12 2 13 65 11 13 14) Add: a) 13 + 11 and 2 + 1 b) 52 and 2 + 7 90 9 9 10 50 5 10 15) Subtract: a) 1 from 2 b) 10 and 14 c) 5 and 22 12 24 26 13 31 93 16) Add: a) 53 +1 b) 1 and 9 + 7 79 9 17) Subtract: a) 1 from 2 + 2 b) 10 – 3 from 10 c) 5 – 2 from 92 – 7 12 24 48 26 13 52 30 60 60 10 18) Express the fractions in their lowest forms using division method. a) 1800 b) 97 c) 144 d) 132 1900 111 180 143 34

19) Nirupam read 12 out of 20 pages of a storybook. Cherry read 18 pages from another story book. If the fraction of pages they both read are equal, find the total number pages in Cherry’s storybook. 20) M alala and Geetha painted a wall. Malala painted 7 of the wall and Geetha 12 painted of 21 the wall. Geetha told Malala that they both painted the same fraction 36 of the wall. Is she correct? Check. 21) The tax on purchasing a refrigerator is 18 rupees per 100 rupees. The tax on buying a car is 14 rupees per 50 rupees. On which item is the tax more? 22) Kohli played 2 of a day and Dhoni played 7 of a day. Who played for less time? 3 12 23) H arika’s father spent 7 of his monthly salary on food, 1 of the salary on 2 and saved rent, 12 48 17 3 of items of the salary. Write the names of the salary on school fees 48 in ascending order according to his expenditures and savings. 24) Four teams participated in a quiz programme conducted for 120 marks. Team-A scored 3 of the marks, Team-B scored 1 of the marks, Team-C scored 1 of the marks 8 6 3 and Team-D scored 3 of the marks. Write the positions of the teams? 24 25) A wall is divided into equal number of parts. Out of these, 7 parts are coloured in 35 orange and 22 parts are coloured in green. How many parts of the wall are coloured? 33 26) A carpenter used 13 of a wooden block to make a chair and 24 of the same block 25 50 for a table. How much of the wooden block did he use for these two items? 27) Aditya filled 19 of a bowl with milk. He added some water in the same bowl. Now, 9 36 36 of the bowl is empty. What part of the bowl did the water occupy? 28) Piyush wanted to grow rose and jasmine plants in his garden. He planted roses in 36 89 of the garden and jasmine in the remaining portion. In what portion of the land did he plant jasmine? 29) 3 of the total number of seats in a theatre are in the box section. 1 of them are in the 10 2 balcony section and the remaining seats are in second class. What part of the seats are in second class? 30) 7 of the total passengers in a train were men. 4 of the passengers were women and 27 9 the remaining were children. What part of the passengers were children? Fractions - I 35

Chapter Fractions - II 10 Concept 10.1: Add and Subtract Mixed Fractions 10.1 I Recall Multiple Choice Questions 1) A fraction whose numerator is _____________ than the denominator is called an improper fraction. [] (A) equal (B) smaller (C) greater (D) both (A) and (B) 2) A fraction whose denominator is greater than the numerator is called ________ [] fraction. (A) an improper (B) a proper (C) a mixed (D) both (A) and (B) 3) The combination of a whole number and a fraction is called _____________ [] fraction. (A) a mixed (B) a proper (C) an improper (D) both (A) and (B) 10.1 I Remember and Understand Multiple Choice Questions 4) The improper fraction form of 21 is _________________. [ ] 3 ] (A) 1 (B) 7 (C) 2 (D) 6 ] 3 3 33 5) To add two mixed fractions, we convert them to _______ fractions. [ (A) improper (B) proper (C) mixed (D) both (A) and (B) 6) 6 1 when expressed as an improper fraction is equal to _________________. [ 2 (A) 6 (B) 11 (C) 13 (D) 5 12 4 2 2 36

Fill in the Blanks 7) The improper fraction form of 4 1 is ______. 3 8) The improper fraction form of 13 is _____. 4 9) The mixed fraction form of 9 is ______. 2 Very Short Answer Questions 10) Solve: 11 + 2 1 44 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. 11) Solve: 2 2 −11 99 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. 12) Solve: 11 + 2 2 88 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. Short Answer Questions 13) Solve: 2 3 −11 74 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Fractions - II 37

14) Solve: 21 − 12 6 3 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Questions 15) Solve: a) 3 1 −12 b) 2 1 −173 4 59 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 38

16) Solve: a) 21 + 31 b) 33 + 25 5 10 4 8 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 10.1 I Apply Short Answer Questions 17) Sneha’s travelling bag weighs 65 kg and her sports kit bag weighs 2 1 kg. How much 6 6 more does her travelling bag weigh? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Fractions - II 39

18) Anu cut 1 m of a cloth for a shirt and 2 2 m of the cloth for a skirt. How much cloth did 43 she cut in all? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Questions 19) In Shimla, it snowed 2 1 inches in the afternoon and 8 1 inches at night. What was the 33 total amount of snowfall? If it snowed 30 inches the day before, how much more did it 3 snow on that day? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 40

20) While recording the stock at his pastry shop, Raj realises that he had 9 5 boxes of baking 6 powder on Saturday and 81 2 boxes on Sunday. How much more baking powder did Raj have on Saturday than on Sunday? What is the total number of boxes Raj had before Saturday? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 10.1 I Explore (H.O.T.S.) Short Answer Question 21) By how much is 22 2 greater than 18 1 ? 64 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. Fractions - II 41

................................................................................. ................................................................................. Long Answer Question 22) Sheela cut a rope into two pieces. The first piece was 33 1 inches long. The second 4 piece was 17 1 inches long. How long was the rope before Sheela cut it? 3 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Concept 10.2: Multiply Fractions 10.2 I Recall Multiple Choice Questions 1) A fraction is said to be in its lowest terms if its numerator and denominator do not have any common factor other than ___________________. [] (A) 1 (B) 2 (C) 3 (D) 4 2) A fraction can be reduced to its lowest terms using H.C.F. or _______________. [] (A) multiplication (B) addition (C) division (D) subtraction 42

3) 7 can be reduced to its lowest terms as ______________________. [] 49 (A) 49 (B) 1 (C) 7 (D) 1 7 49 1 7 10.2 I Remember and Understand Multiple Choice Questions [] 4) 1 × 18 = ______ [] [] 63 (A) 4 (B) 3 (C) 2 (D) 1 5) 1 × 25 = ______ 5 3 (A) 5 (B) 3 (C) 5 (D) 15 3 5 15 5 6) 7 × 5 = ______ 5 21 (A) 1 (B) 1 (C) 1 (D) 1 5 3 7 21 Fill in the Blanks 7) 1 × 4 = ______ 4 8) A whole number is a fraction with denominator ______. 9) Before multiplying mixed numbers, we convert them into ____________ fractions. Very Short Answer Questions 10) Find the product: 2 × 4 35 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11) Find the product: 3 × 2 51 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12) Find 1 of 30. 3 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Fractions - II 43

Short Answer Questions 13) Solve: a) 45 × 4 b) 10 × 5 58 21 7 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. 14) Solve: a) 6 × 9 b) 15 × 12 48 5 54 2 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. Long Answer Questions 15) Solve: a) 55 × 4 b) 38 × 4 24 4 d) 10 × 90 22 35 24 19 c) 50 × 10 3 30 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 44

16) Find the products: a) 35 × 9 b) 44 × 21 c) 55 × 55 d) 17 × 14 8 11 78 10 21 22 27 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 10.2 I Apply Short Answer Questions 17) Mansingh had 1 of a large pizza. He gave 2 of his share to his sister. How much of the 25 whole pizza did Mansingh's sister get? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. 18) During a picnic, Teena's team received 2 of the total food. The food was further divided 7 among the team members and Teena received 2 of her team's share. What fraction of 9 the total food did Teena get? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. Fractions - II 45

................................................................................. Long Answer Questions 19) Ashi is supposed to paint 6 of her room and Bhavana is supposed to paint 7 of the 13 13 same room. At the end of the day, Bhavana was able to finish 4 of her work and Ashi 7 was able to finish 5 of her work. Who painted more and by how much? 6 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 20) 4 of the students play an instrument, out of which 3 play a a) A t Franklin High School, 54 stringed instrument. What fraction of the students play a stringed instrument? b) S hubhro had some mangoes. He gave 1 of the mangoes to Vaishnavi. Vaishnavi 5 gave 2 of her share to Pooja. What is Pooja's share of mangoes? 3 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 46