Alpine-G5-Workbook-Maths-Part2

181010052-Alpine-G5-Workbook-Maths-Part2.pdf 1 03-Feb-18 4:52:47 PM

Preface IMAX partners with schools, supporting them with learning materials and processes that are all crafted to work together as an interconnected system to drive learning. IMAX presents the latest version of the Alpine series – updated and revised after considering the perceptive feedback and comments shared by our experienced reviewers and users. Designed specifically for state board schools, the Alpine series endeavours to be faithful to the spirit of State Curriculum Framework and 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 Alpine Mathematics textbooks and workbooks for state board 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  S upported 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  Stepwise breakdown of solutions to provide an easier premise for learning of problem-solving skills Overall, the IMAX Alpine 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 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 2 03-Feb-18 4:52:47 PM

Recall Aims at revising the prerequisite knowledge for the concept from the previous year/chapter/concept/term Remembering and Understanding Provides opportunities for practising the basic elements involved in the learning of the concept Application Applies the understanding of the concept to questions related to real-life scenarios Higher Order Thinking Skills (H.O.T.S.) Extends the concept to more advanced and challenging questions that meet the criteria of higher order thinking skills 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 3 03-Feb-18 4:52:47 PM

8 Money 1 8.1 Unitary Method in Money  6 13 9 Fractions - I 19 26 9.1 Equivalence of Fractions  9.2 Fraction in its Lowest Terms  33 9.3 Compare Unlike Fractions  39 9.4 Add and Subtract Unlike Fractions  45 10 Fractions - II 51 56 10.1 Add and Subtract Mixed Fractions  61 10.2 Multiply Fractions  10.3 Reciprocals of Fractions  67 73 11 Decimals - I 79 11.1 Like and Unlike Decimals  11.2 Compare and Order Decimals  87 11.3 Add and Subtract Decimals  05-02-2018 16:23:58 12 Decimals - II 12.1 Multiply and Divide Decimals  12.2 Percentages  13 Measurements 13.1 Perimeter, Area and Volume  14 Data Handling 14.1 Circle Graphs  Contents_V3_PPS_Maths_G5_WB.indd 4

Chapter 8 Money Concept 8.1: Unitary Method in Money 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 & Remembering and Understanding 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) T he method of finding the value of _______________________ unit, and then finding the value of many units is called the unitary method. 1 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 5 03-Feb-18 4:52:48 PM

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 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 6 03-Feb-18 4:52:48 PM

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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Application Short Answer Questions 17) Sukhwinder gets paid ` 1650 for 11 days of work. Zeenat gets paid ` 1400 for 7 days work. Who earns more amount of 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 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 7 03-Feb-18 4:52:48 PM

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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 21) Priya 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 = ` 63.80 as on 10th January 2018) 4 03-Feb-18 4:52:48 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 8

Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. Long Answer Question 22) Ali 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 = ` 63.80, 1 Dirham = ` 17.37 as on 10th January 2018) Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Money 5 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 9 03-Feb-18 4:52:48 PM

Chapter 9 Fractions - I Concept 9.1: Equivalence of Fractions 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 & Remembering and Understanding 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 4 4 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 6 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 10 03-Feb-18 4:52:48 PM

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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 12) Are the fractions 15 and 6 equivalent? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Short Answer Questions 13) Check for equivalence of the fractions: a) 9 and 36 b) 1 and 2 13 52 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. Fractions - I 7 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 11 03-Feb-18 4:52:48 PM

................................................................................. ................................................................................. ................................................................................. ................................................................................. 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 8 03-Feb-18 4:52:48 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 12

................................................................................. ................................................................................. ................................................................................. ................................................................................. Application 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. Fractions - I 9 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 13 03-Feb-18 4:52:48 PM

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 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) Smita 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 10 03-Feb-18 4:52:48 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 14

20) a) Rakshak 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) S hami 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 21) Given that the fractions are equivalent, find the missing numbers in the brackets. 1 and 2 5 [] Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. Fractions - I 11 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 15 03-Feb-18 4:52:48 PM

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Question 22) If the given fractions are equivalent, find the missing numbers in the brackets. a) 3 and 9 b) [ ] and 4 6 [] 7 14 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 12 03-Feb-18 4:52:48 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 16

Concept 9.2: Fraction in its Lowest Terms 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 [] & Remembering and Understanding 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 _________________. Fractions - I 13 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 17 03-Feb-18 4:52:48 PM

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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 14 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 18 03-Feb-18 4:52:48 PM

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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Fractions - I 15 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 19 03-Feb-18 4:52:48 PM

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Application 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 16 03-Feb-18 4:52:48 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 20

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 number of pages and by how much? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Fractions - I 17 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 21 03-Feb-18 4:52:48 PM

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Higher Order Thinking Skills (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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. 18 03-Feb-18 4:52:48 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 22

................................................................................. ................................................................................. ................................................................................. 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 Recall Multiple Choice Questions 1) The fractions 47 are _________________ fractions. [] and 6 15 19 (A) equivalent (B) like (C) unlike (D) mixed 03-Feb-18 4:52:48 PM Fractions - I 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 23

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 & Remembering and Understanding Multiple Choice Questions 4) 2 ________ 1  [] 63 (A) > (B) < (C) = (D) both (A) and (C) (C) = [ 5) 3 ________ 5  (C) = ] 7 14 (B) > (D) both (B) and (C) (A) < [ 6) 3 ________ 9  ] 8 16 (B) > (D) both (A) and (C) (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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 24 03-Feb-18 4:52:48 PM

11) 7 and 3  62 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12) 4 and 2 63 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Short Answer Questions 13) Compare: a) 9 and 18 b) 18 12 and 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 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. Fractions - I 21 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 25 03-Feb-18 4:52:48 PM

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 22 03-Feb-18 4:52:48 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 26

Application 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Fractions - I 23 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 27 03-Feb-18 4:52:48 PM

Long Answer Questions 19) a) Nisha ate 3 of an apple in the morning and 1 of an apple in the evening. When did 4 6 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) R am swam 4 of a lap and Shyam swam 6 of a lap in the same time. Who swam a 5 10 shorter distance? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 24 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 28 03-Feb-18 4:52:49 PM

................................................................................. ................................................................................. Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 21) Colour the figures to represent the given fractions and compare them. 53 8 4 Long Answer Question 22) Arrange the fractions 3 , 5 , 2 , 1 and 6 in the descending order. 8 6 4 3 8 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Fractions - I 25 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 29 03-Feb-18 4:52:49 PM

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Concept 9.4: Add and Subtract Unlike Fractions 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  (B) > 36 36 (A) < & Remembering and Understanding Multiple Choice Questions 4) The sum of 5 and 3 is _________________. [] 42 [] (A) 11 11 8 (D) 8 (B) 4 (C) 2 4 2 5) 8 – 3 = _______ 36 (A) 13 (B) 5 (C) 13 (D) 5 66 33 26 03-Feb-18 4:52:49 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 30

6) 9 – 11 = ____________ [] 39 16 (A) 16 (B) 20 (C) 20 (D) 9 3 3 9 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. Fractions - I 27 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 31 03-Feb-18 4:52:49 PM

................................................................................. ................................................................................. ................................................................................. Long Answer Questions 15) a) Add: 5 and 9 b) Subtract: 48 – 7 16 12 125 25 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 16) a) Add 3 and 9 . b) Subtract 2 from 3 . 15 12 67 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 28 03-Feb-18 4:52:49 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 32

Application Short Answer Questions 17) Rishi got 4 of a cake and he ate 1 of it. How much of the cake is left with him? 17 12 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Fractions - I 29 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 33 03-Feb-18 4:52:49 PM

Long Answer Questions 5 11 19) a) Sunny played chess for 7 of an hour and carroms for 13 of an hour. For how much less time did Sunny play chess?  b) P am 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 20) a) Jai spent 1 of his salary on rent and 1 of it on food. What part of his salary is left with 53 him by the end of the month? 10 b) J oe planted 15 rows with seeds. A few birds flew down to her plant nursery and ate the seeds in 8 of the rows. How many rows of seeds are left in the plant nursery? 13 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. 30 03-Feb-18 4:52:49 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 34

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Higher Order Thinking Skills (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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Fractions - I 31 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 35 03-Feb-18 4:52:49 PM

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 03-Feb-18 4:52:49 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 36

Chapter 10 Fractions - II Concept 10.1: Add and Subtract Mixed Fractions 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) & Remembering and Understanding 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 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 37 33 03-Feb-18 4:52:49 PM

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: 23 − 11 7 4 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 34 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 38 03-Feb-18 4:52:49 PM

14) Solve: 21 − 12 6 3 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Questions 15) Solve: a) 3 1 − 12 b) 2 1 − 13 59 47 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Fractions - II 35 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 39 03-Feb-18 4:52:49 PM

16) Solve: a) 21 + 3 1 b) 33 + 25 5 10 4 8 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Application 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 36 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 40 03-Feb-18 4:52:49 PM

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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Fractions - II 37 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 41 03-Feb-18 4:52:49 PM

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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 21) By how much is 22 2 greater than 18 1 ? 64 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. 38 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 42 03-Feb-18 4:52:49 PM

................................................................................. ................................................................................. 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 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 Fractions - II 39 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 43 03-Feb-18 4:52:49 PM

3) 7 can be reduced to its lowest terms as ______________________. [] 49 (A) 49 (B) 1 (C) 7 (D) 1 7 49 1 7 & Remembering and Understanding Multiple Choice Questions [] 4) 1 × 18 = 63 (A) 4 (B) 3 (C) 2 (D) 1 5) 1× 25 = [] 3 [] 5 (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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 03-Feb-18 4:52:49 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 44

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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Fractions - II 41 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 45 03-Feb-18 4:52:49 PM

16) Find the products: a) 35 × 291 b) 44 × 21 c) 55 × 55 d) 17 × 14 10 22 27 8 11 78 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Application 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. 42 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 46 03-Feb-18 4:52:49 PM

................................................................................. 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 could finish 5 of her work. Who painted more and by how much? 6 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 20) a) At Franklin High School, 4 of the students play an instrument, out of which 3 play a 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Fractions - II 43 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 47 03-Feb-18 4:52:49 PM

Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 21) Multiply: a) 4 , 8 , 9 b) 3 , 7 ,13 , 3 898 4 4 3 13 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. Long Answer Question 22) Multiply the following: a) 5 , 9 , 7 b) 6 , 4 , 6 , 7 c) 3 , 7 , 2 , 3 d) 4 , 3 , 5 4432 353 979 5576 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 44 03-Feb-18 4:52:49 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 48

................................................................................. ................................................................................. ................................................................................. ................................................................................. Concept 10.3: Reciprocals of Fractions Recall Multiple Choice Questions 1) If 9 × 4 = 36, then 36 ÷ 9 is __________________. [ ] ] (A) 1 (B) 36 (C) 9 (D) 4 ] 2) If 63 ÷ 9 = 7, then 9 × 7 is __________________. [ (A) 13 (B) 63 (C) 9 (D) 7 3) Multiplication and _____________________ are inverse operations. [ (A) division (B) addition (C) subtraction (D) both (A) and (B) & Remembering and Understanding Multiple Choice Questions 4) The only number that does not have a multiplicative inverse is __________________. [ ] ] (A) 0 (B) 1 (C) 3 (D) 2 ] 5) The reciprocal of 1 is __________________. [ (A) 2 (B) 0 (C) 3 (D) 1 6) The reciprocal of a mixed fraction is ______________ fraction. [ (A) an improper (B) a proper (C) a mixed (D) both (A) and (B) Fill in the Blanks 7) The reciprocal of a proper fraction is a(n) ______________________ fraction. 8) Fractions are reduced to their lowest terms before finding their ______________________. Fractions - II 45 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 49 03-Feb-18 4:52:49 PM

9) The reciprocal of 6 is __________. 7 Very Short Answer Questions 10) Find the reciprocal of the fraction 1 . 7 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11) Find the reciprocal of the fraction 5 . 14 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12) Find the multiplicative inverse of 3. Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Short Answer Questions 13) Find the reciprocals of: a) 3 b) 1 1 4 6 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 29 14) Find the reciprocals of: a) 2 b) 78 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 46 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 50 03-Feb-18 4:52:49 PM