20) A shopkeeper has a metal wire of length 10 m 10 cm. Saurabh used 4 m 75 cm of it while Aditya used 3 m 50 cm. How much of the metal wire remains with the shopkeeper? Solution: Measurement 47 NR_BGM_9789387552296 TRAVELLER G04 MATHS WORKBOOK PART 2_Text.pdf 51 11/20/2018 10:21:56 AM
I Explore (H.O.T.S.) Short Answer Question 21) Meher drinks 1 sip of juice for every 100 m he runs. He ran 1 km on day one. At the end of the second day, he found that he had drunk 20 sips of juice over the two days of running. Calculate the total distance covered by Meher on the second day. Express your answer in km and m. Solution: Long Answer Question 22) The given map shows the distance between various places. Mosque School 3 km 250 m 5 km 500 m Morad’s home 5 km 600 m 5 km Post office 200 m Meher’s home Playground 7 km 500 m 48 11/20/2018 10:21:56 AM NR_BGM_9789387552296 TRAVELLER G04 MATHS WORKBOOK PART 2_Text.pdf 52
a) Whose house is closer to the post office: Morad or Meher? By what distance is it closer? b) Whose house is closer to the school: Morad or Meher? By what distance is it closer? c) What is the total distance that Meher travels to reach the mosque if he stops first at Morad’s home? d) S uppose Meher is at school. What is the shortest distance that he can travel to reach the playground? Solution: Measurement 49 NR_BGM_9789387552296 TRAVELLER G04 MATHS WORKBOOK PART 2_Text.pdf 53 11/20/2018 10:21:56 AM
11.2 Standard Units of Mass and Volume I Recall Multiple Choice Questions 1) The standard unit of weight is ________. [ ] ] (A) kilogram (B) gram (C) milligram (D) all of these ] 2) The units used for measuring medicines and tablets is ______. [ ] ] (A) kilogram (B) gram (C) milligram (D) centigram ] 3) The standard unit of volume is _________. [ (A) kℓ (B) ℓ (C) mℓ (D) v I Remember and Understand Multiple Choice Questions 4) 4 kg = ________ g [ [ (A) 40 (B) 400 (C) 4000 (D) 40000 [ (C) 156700 (D) 1567000 5) 1 ℓ 567 mℓ = _______ mℓ (C) 33 g (D) 3003 g (A) 15670 (B) 1567 6) 3 kg + 3 g = _______ (A) 3300 g (B) 3030 g Fill in the Blanks 7) 4 g = _______________ mg 8) 2 ℓ = _________________ mℓ 9) 1 g = _________________ mg Very Short Answer Questions 10) Convert 5 ℓ into mℓ. Solution: 50 11/20/2018 10:21:56 AM NR_BGM_9789387552296 TRAVELLER G04 MATHS WORKBOOK PART 2_Text.pdf 54
11) Convert 36 kg to g. Solution: 12) Convert 60 ℓ to mℓ. Solution: Short Answer Questions 13) Convert 6 ℓ 500 mℓ into mℓ. Solution: 14) Convert 9 kg 270 g into g. Solution: Long Answer Questions b) 78 ℓ 678 mℓ into mℓ 15) Convert the following: a) 7 kg 725 g into g Solution: Measurement 51 NR_BGM_9789387552296 TRAVELLER G04 MATHS WORKBOOK PART 2_Text.pdf 55 11/20/2018 10:21:56 AM
16) Convert the following: a) 4 kg 760 g to g b) 60 ℓ 492 mℓ to mℓ Solution: I Apply Short Answer Questions 17) Add 698 g 150 mg and 156 g 567 mg. Solution: 18) a) Subtract 456 kg 230 g from 500 kg 250 g. Write the difference in grams. b) Subtract 222 ℓ 450 mℓ from 333 ℓ 500 mℓ. Write the difference in millilitres. Solution: 52 11/20/2018 10:21:56 AM NR_BGM_9789387552296 TRAVELLER G04 MATHS WORKBOOK PART 2_Text.pdf 56
Long Answer Questions 19) a) P aras has 6 kg 589 g of flour. His wife brought 9 kg 250 g of flour from the market. What is the total weight of flour at home now? Express the weight in grams. b) Swati has 89 ℓ 498 mℓ of juice. She gave 50 ℓ of juice to her mother. What quantity of juice is left with Swati? Solution: Measurement 53 NR_BGM_9789387552296 TRAVELLER G04 MATHS WORKBOOK PART 2_Text.pdf 57 11/20/2018 10:21:56 AM
20) a) Subtract 789 g 456 mg from 992 g 789 mg. b) Subtract 678 g 189 mg from 789 g 456 mg. Write the difference in milligrams. Solution: I Explore (H.O.T.S.) Short Answer Question 21) Abhishek has 12 kg 800 g of mangoes. He gave 6 kg 200 g to his sister. Then he gave 1 kg 400 g of mango to his friend. What weight of mangoes is left with Abhishek? Solution: 54 11/20/2018 10:21:56 AM NR_BGM_9789387552296 TRAVELLER G04 MATHS WORKBOOK PART 2_Text.pdf 58
Long Answer Question 22) Rohini bought 5 kg of fruits in the first week and 8 kg 800 g fruits in the second week of a month. Her friend Shabana bought 9 kg 500 g fruits in the first week and 8 kg fruits in the second week of the same month. Who bought more fruit and by how much? Solution: Measurement 55 NR_BGM_9789387552296 TRAVELLER G04 MATHS WORKBOOK PART 2_Text.pdf 59 11/20/2018 10:21:56 AM
11.3 Area and Perimeter of Simple Shapes I Recall Multiple Choice Questions 1) Square and rectangle are also called __________ shapes. [] (A) 1D (B) 2D (C) 3D (D) 4D 2) Flat shapes have ______________ dimensions. [] (A) one (B) two (C) three (D) four 3) A ___________________ has no corners. [] (A) square (B) rectangle (C) circle (D) triangle I Remember and Understand Multiple Choice Questions 4) The perimeter of a figure is represented by the letter(s) ________. [] [] (A) P (B) p (C) Pe (D) pe [] 5) Perimeter of a rectangle is _________. (A) 2 + l × 2 + b (B) 2 × l + 2 × b (C) l + b (D) l – b 6) The unit for perimeter of a square whose side is in cm is ________. (A) cm (B) cm2 (C) cm3 (D) cm4 Fill in the Blanks 7) The perimeter of a shape is the ___________________ of its outline. 8) The lengths of a rectangle are represented by _____ units. 9) The perimeter of a square of side ‘s’ units is ______________ units. Very Short Answer Questions P 5 cm 10) Find the perimeter of the given triangle. 3 cm QR 4 cm 56 11/20/2018 10:21:56 AM NR_BGM_9789387552296 TRAVELLER G04 MATHS WORKBOOK PART 2_Text.pdf 60
Solution: 11) Find the perimeter of a square whose side is 1 cm. Solution: 12) A triangle has sides 5 cm, 7 cm and 9 cm. Find its perimeter. Solution: Short Answer Questions 13) Find the perimeters of the following: a) 6 cm b) 2 cm 4 cm 4 cm 2 cm 2 cm 6 cm 2 cm Solution: 14) Find the perimeters of the following figures: a) b) 11 cm 13 cm 7 cm 7 cm 5 cm 12 cm 11 cm Solution: Measurement 57 NR_BGM_9789387552296 TRAVELLER G04 MATHS WORKBOOK PART 2_Text.pdf 61 11/20/2018 10:21:57 AM
Long Answer Questions 15) Find the perimeters of: a) a square with sides 8 cm. b) a rectangle with length 23 cm and breadth 21 cm. c) a triangle with sides 4 cm, 7 cm and 6 cm. d) a square with sides 5 cm. Solution: 16) Find the perimeters of the following: 11/20/2018 10:21:57 AM a) a triangle with sides 15 cm, 17 cm and 19 cm. b) a rectangle with length 30 cm and breadth 27 cm. 58 NR_BGM_9789387552296 TRAVELLER G04 MATHS WORKBOOK PART 2_Text.pdf 62
c) a square with sides 9 cm. d) a triangle with sides 43 cm, 41 cm and 45 cm. Solution: I Apply Short Answer Questions 17) Raj draws a rectangle whose sides are 5 cm and 3 cm. Find the area of the rectangle drawn by Raj. Solution: 18) A rectangular box of sweets is 12 cm long and 10 cm wide. How many sweets can fit in it if the area occupied by each sweet is 4 cm2? Measurement 59 NR_BGM_9789387552296 TRAVELLER G04 MATHS WORKBOOK PART 2_Text.pdf 63 11/20/2018 10:21:57 AM
Solution: Long Answer Questions 19) a) Each side of a square piece of tissue paper is 4 centimetres long. What is its area? b) The square-shaped floor of a coffee shop is 8 metres long. What is its area? c) The surface of a rectangular table is 70 cm long and 30 cm wide. What is its area? d) A square piece of metal sheet has sides that are 7 metres long. What is its area? Solution: 20) a) A square patch of grass has sides that are 6 metres long. What is its area? b) A rectangular hoarding is 30 centimetres wide and 60 centimetres tall. What is its area? c) A rectangular notepad is 15 centimetres long and 7 centimetres wide. What is its area? d) S hanaya has a square-shaped flower bed in her garden. If each of its sides are 8 metres long, what is the area of the flower bed? Solution: 60 11/20/2018 10:21:57 AM NR_BGM_9789387552296 TRAVELLER G04 MATHS WORKBOOK PART 2_Text.pdf 64
I Explore (H.O.T.S.) Short Answer Question 21) Find the length of the side and the area of a square whose perimeter is 96 m. Solution: Long Answer Question 22) The length of a rectangle is 12 cm. Its length is 3 times the width. What are the area and perimeter of the rectangle? There is another rectangle whose length and breadth are double that of the first rectangle. Find the area of the second rectangle. Solution: Measurement 61 NR_BGM_9789387552296 TRAVELLER G04 MATHS WORKBOOK PART 2_Text.pdf 65 11/20/2018 10:21:57 AM
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12Chapter Data Handling 12.1 Bar Graphs I Recall Multiple Choice Questions 1) W hich of the following is information collected for a specific purpose? [ ] [ ] (A) data (B) numbers [ ] (C) letters (D) pictures 2) Which of the following is used to show data in the form of pictures? (A) key (B) alphabetical data (C) numerical data (D) pictograph 3) Which of the following belongs to the pictorial representation of data? (A) 1 = 5 animals (B) Pi zza B urge r |||| || |||| |||| (C) B anan a Chips (D) all of the above ||| |||| I Remember and Understand Multiple Choice Questions 4) To represent data with large numbers we use _______________. [ ] (A) tally marks (B) bar graphs (C) numbers (D) drawings NR_BGM_9789387552296 TRAVELLER G04 MATHS WORKBOOK PART 2_Text.pdf 67 63 11/20/2018 10:21:57 AM
5) To represent data, bar graphs use rectangular bars of the same _____. [ ] (A) width (B) height (C) colour (D) name [ ] 6) Bar graphs are used to __________________ data. (A) add (B) subtract (C) compare (D) count Fill in the Blanks Observe the graph and answer the following questions. Y-axis Number of Students in Classes Number of students 100 80 60 40 20 Class 1 Class 2 Class 3 Class 4 Class 5 X-axis Class 7) The number of students in Class 4 is __________. 8) The number of students in Class 2 is __________. 9) The number of students in Class 5 is __________. Very Short Answer Questions 10) What is the scale of a graph? Solution: 11) In what ways can the bars be drawn on a bar graph? Solution: 64 11/20/2018 10:21:57 AM NR_BGM_9789387552296 TRAVELLER G04 MATHS WORKBOOK PART 2_Text.pdf 68
12) In a bar graph showing student marks, the scale of the y-axis is 1 cm = 10 marks. If one bar is 7.5 cm tall, how many marks does it show? Solution: Short Answer Questions 13) The strength of different classes of a school is represented in the form of a bar graph. Look at the graph carefully and answer the questions that follow. Strength of Different Classes Y - axis Scale o n X – axis: 1 cm = 1 class 50 on Y – axis: 1 cm = 10 students 40 Strength of classes 30 20 10 0 6 7 8 9 X - axis 10 Classes a) What is the total strength of classes 6 and 7? b) What is the total strength of all the five classes? Solution: Data Handling 65 NR_BGM_9789387552296 TRAVELLER G04 MATHS WORKBOOK PART 2_Text.pdf 69 11/20/2018 10:21:57 AM
14) T he costs of different items are represented in the form of a bar graph. Look at the graph carefully and answer the following questions. Y - axis Cost of Food Items 40 Scale on X – axis: 1 cm = 1 item on Y – axis: 1 cm = 5 rupees 35 30 Cost in rupees 25 20 15 10 5 0 X - axis Pav bhaji Dosa Sandwich Food Items a) What is the cost of pav bhaji? b) Which item is the cheapest? What is its cost? Solution: 66 11/20/2018 10:21:57 AM NR_BGM_9789387552296 TRAVELLER G04 MATHS WORKBOOK PART 2_Text.pdf 70
Long Answer Questions 15) A toy company conducted a survey among children to find their favourite cartoon character. They recorded the results in a bar graph as given below. Use the graph to answer the following questions. Y - axis Favourite Cartoon Characters 10 Scale o n X – axis: 1 cm = 1 Cartoon character on Y – axis: 1 cm = 1 Child Number of children 9 8 7 6 5 4 3 2 1 0 Daffy Dora Sponge Mickey X - axis Duck Mouse Bob Cartoon Characters a) How many children liked Mickey Mouse? b) Which character was the favourite of exactly 10 children? c) W hat is the difference between the number of children who liked Daffy Duck and Sponge Bob? d) Which character was the favourite of the least number of children? Data Handling 67 NR_BGM_9789387552296 TRAVELLER G04 MATHS WORKBOOK PART 2_Text.pdf 71 11/20/2018 10:21:57 AM
Solution: 16) J ane has different types of books. The data is represented on the bar graph below. Use the graph to answer the questions that follow. Y - axis Different Types of Books 12 Scale on X – axis: 1 cm = 1 type of book on Y – axis: 1 cm = 2 books 10 8 Number of books6 4 2 0 Poetry Story Horror Historical X - axis Fantasy Types of books a) What is the total number of poetry and fantasy books? b) How many fewer fantasy books than horror books does Jane have? 68 11/20/2018 10:21:57 AM NR_BGM_9789387552296 TRAVELLER G04 MATHS WORKBOOK PART 2_Text.pdf 72
c) Which type of book is maximum in number? d) What is the total number of books? Solution: I Apply Short Answer Questions 17) G iven here is a table showing the points scored by 4 teams of IPL 2018. Draw the bar graph to represent the same. Team Points Mumbai 20 Chennai 16 Hyderabad 18 Bengaluru 8 Data Handling 69 NR_BGM_9789387552296 TRAVELLER G04 MATHS WORKBOOK PART 2_Text.pdf 73 11/20/2018 10:21:57 AM
Solution: 70 11/20/2018 10:21:57 AM NR_BGM_9789387552296 TRAVELLER G04 MATHS WORKBOOK PART 2_Text.pdf 74
18) T he number of cards manufactured by a factory in five weeks is given. Draw the bar graph to represent the same. Week 1st week 2nd week 3rd week 4th week 5th week Cards 600 800 700 300 900 Solution: Data Handling 71 NR_BGM_9789387552296 TRAVELLER G04 MATHS WORKBOOK PART 2_Text.pdf 75 11/20/2018 10:21:57 AM
Long Answer Questions 19) W rite the number of each type of mobile and use the data to make a bar graph. [Key 1 = 10 mobiles] Mobile Phones Manufactured by Different Companies Companies Mobiles Number of Mobiles Nokia Samsung Sony Micromax Motorola 72 11/20/2018 10:21:57 AM NR_BGM_9789387552296 TRAVELLER G04 MATHS WORKBOOK PART 2_Text.pdf 76
Solution: Data Handling 73 NR_BGM_9789387552296 TRAVELLER G04 MATHS WORKBOOK PART 2_Text.pdf 77 11/20/2018 10:21:57 AM
20) The prices of different items are shown in the table given. Make a bar graph for the data and answer the following questions. a) W hat is the total price of an ice cream and a Item Price glass of juice together? Ice cream 30 b) If Rahul buys one ice cream and two slices of Cheese slice 20 50 cheese, find the total amount he needs to pay. Juice c) W hat is the total price of a packet of chips and Chips 10 two packs of bread? Bread 40 d) What is the total price of all the items? Solution: Solution: 11/20/2018 10:21:57 AM 74 NR_BGM_9789387552296 TRAVELLER G04 MATHS WORKBOOK PART 2_Text.pdf 78
I Explore (H.O.T.S.) Short Answer Question 21) T he number of girls and boys in the divisions from A to D are given as follows. Division A B C D 50 Girls 35 35 35 25 Boys 40 45 30 Represent the given data using a bar graph. Solution: Data Handling 75 NR_BGM_9789387552296 TRAVELLER G04 MATHS WORKBOOK PART 2_Text.pdf 79 11/20/2018 10:21:57 AM
Long Answer Question 22) The population of different cities in 2016 and 2018 are given in the table. Draw a double bar graph and answer the following questions. a) W hich city had the maximum population in City Population in lakhs the year 2018? 2016 2018 b) In which cities do you find the same A 25 32 B 30 44 difference in population for the two years? 42 48 33 40 c) W hich city had the minimum population in C the year 2016? D d) Which city has the maximum increase in population from 2016 to 2018? Solution: 76 11/20/2018 10:21:57 AM NR_BGM_9789387552296 TRAVELLER G04 MATHS WORKBOOK PART 2_Text.pdf 80
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