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 51704178_BGM_Traveller G4 Mathematics Workbook Part 2_TEXT.pdf___51 / 80
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 ost office 200 m Meher’s home Playground 7 km 500 m 48 51704178_BGM_Traveller G4 Mathematics Workbook Part 2_TEXT.pdf___52 / 80
a) hose house is closer to the post office Morad or Meher By what distance is it closer? b) hose 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) Suppose Meher is at school. What is the shortest distance that he can travel to reach the playground? Solution: Measurement 49 51704178_BGM_Traveller G4 Mathematics Workbook Part 2_TEXT.pdf___53 / 80
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) centigram [ ] 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) k (B) (C) m ( )v I Remember and Understand Multiple Choice Questions 4) 4 kg = ________ g [ (A) 40 (B) 400 (C) 4000 (D) 40000 (C) 156700 5) 1 ℓ m m (C) 33 g (A) 15670 (B) 1567 (D) 1567000 (D) 3003 g 6) 3 kg + 3 g = _______ [ (A) 3300 g (B) 3030 g Fill in the Blanks 7) 4 g = _______________ mg )m 9) 1 g = _________________ mg Very Short Answer Questions ) Convert into m . Solution: 50 51704178_BGM_Traveller G4 Mathematics Workbook Part 2_TEXT.pdf___54 / 80
11) Convert 36 kg to g. Solution: ) Convert to m . Solution: Short Answer Questions ) Convert m into m . Solution: 14) Convert 9 kg 270 g into g. Solution: Long Answer Questions b) m into m ) Convert the following a) kg g into g Solution: Measurement 51 51704178_BGM_Traveller G4 Mathematics Workbook Part 2_TEXT.pdf___55 / 80
16) Convert the following a) kg g to g b) m to m 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 m from m . rite the difference in millilitres. Solution: 52 51704178_BGM_Traveller G4 Mathematics Workbook Part 2_TEXT.pdf___56 / 80
Long Answer Questions ) a) aras has kg g of our. is wife brought kg g of our from the market. hat is the total weight of our at home now Express the weight in grams. b) Swati has m of uice. She gave of uice to her mother. hat quantity of juice is left with Swati? Solution: Measurement 53 51704178_BGM_Traveller G4 Mathematics Workbook Part 2_TEXT.pdf___57 / 80
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 51704178_BGM_Traveller G4 Mathematics Workbook Part 2_TEXT.pdf___58 / 80
Long Answer Question ) ohini bought kg of fruits in the first week and kg g fruits in the second week of a month. er friend Shabana bought kg 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 51704178_BGM_Traveller G4 Mathematics Workbook Part 2_TEXT.pdf___59 / 80
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 ) 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 51704178_BGM_Traveller G4 Mathematics Workbook Part 2_TEXT.pdf___60 / 80
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 ) ind the perimeters of the following a) 6 cm b) 2 cm 2 cm 4 cm 4 cm 2 cm 6 cm 2 cm Solution: ) ind the perimeters of the following figures a) 13 cm b) 11 cm 7 cm 5 cm 7 cm 11 cm 12 cm Solution: Measurement 57 51704178_BGM_Traveller G4 Mathematics Workbook Part 2_TEXT.pdf___61 / 80
Long Answer Questions ) ind 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: ) ind the perimeters of the following a) a triangle with sides 15 cm, 17 cm and 19 cm. b) a rectangle with length 30 cm and breadth 27 cm. 58 51704178_BGM_Traveller G4 Mathematics Workbook Part 2_TEXT.pdf___62 / 80
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 cm2? Measurement 59 51704178_BGM_Traveller G4 Mathematics Workbook Part 2_TEXT.pdf___63 / 80
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 oor of a coffee shop is metres long. hat 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) Shanaya has a square-shaped ower bed in her garden. If each of its sides are metres long, what is the area of the ower bed Solution: 60 51704178_BGM_Traveller G4 Mathematics Workbook Part 2_TEXT.pdf___64 / 80
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. ind the area of the second rectangle. Solution: Measurement 61 51704178_BGM_Traveller G4 Mathematics Workbook Part 2_TEXT.pdf___65 / 80
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12Chapter Data Handling 12.1 Bar Graphs I Recall Multiple Choice Questions ) hich of the following is information collected for a specific purpose ] ] (A) data (B) numbers ] (C) letters ( ) pictures ) hich of the following is used to show data in the form of pictures (A) key (B) alphabetical data (C) numerical data ( ) pictograph ) hich of the following belongs to the pictorial representation of data (A) 1 = 5 animals (B) Pizza Burger |||| || |||| |||| (C) Banana Chips ( ) all of the above ||| |||| I Remember and Understand Multiple Choice Questions . ) To represent data with large numbers we use ( ) drawings (A) tally marks (B) bar graphs (C) numbers 63 51704178_BGM_Traveller G4 Mathematics Workbook Part 2_TEXT.pdf___67 / 80
) To represent data, bar graphs use rectangular bars of the same . (A) width (B) height (C) colour ( ) name ) Bar graphs are used to data. (A) add (B) subtract (C) compare ( ) count Fill in the Blanks bserve 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 ) The number of students in Class is . ) The number of students in Class is . ) The number of students in Class is . Very Short Answer Questions ) hat is the scale of a graph Solution: ) In what ways can the bars be drawn on a bar graph Solution: 64 51704178_BGM_Traveller G4 Mathematics Workbook Part 2_TEXT.pdf___68 / 80
) In a bar graph showing student marks, the scale of the y-axis is cm marks. If one bar is . cm tall, how many marks does it show Solution: Short Answer Questions ) The strength of different classes of a school is represented in the form of a bar graph. ook at the graph carefully and answer the questions that follow. Strength of Different Classes Y - axis Scale on X axis cm class 50 on axis cm students 40 Strength of classes 30 20 10 0 67 Classes 8 9 X - axis 10 a) b) hat is the total strength of classes and Solution: hat is the total strength of all the five classes Data Handling 65 51704178_BGM_Traveller G4 Mathematics Workbook Part 2_TEXT.pdf___69 / 80
) The costs of different items are represented in the form of a bar graph. ook at the graph carefully and answer the following questions. Y - axis Cost of Food Items item 40 Scale on X axis cm rupees on axis cm 35 30 Cost in rupees 25 20 15 10 5 0 X - axis av bha i osa Sandwich Food Items a) hat is the cost of pav bha i b) hich item is the cheapest hat is its cost Solution: 66 51704178_BGM_Traveller G4 Mathematics Workbook Part 2_TEXT.pdf___70 / 80
Long Answer Questions ) 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. se the graph to answer the following questions. Favourite Cartoon Characters Y - axis Scale on X axis cm Cartoon character 10 on axis cm Child Number of children 9 8 7 6 5 4 3 2 1 0 Daffy Dora Sponge Mickey X - axis uck Mouse Bob Cartoon Characters a) ow many children liked Mickey Mouse b) hich character was the favourite of exactly children c) hat is the difference between the number of children who liked affy uck and Sponge Bob d) hich character was the favourite of the least number of children Data Handling 67 51704178_BGM_Traveller G4 Mathematics Workbook Part 2_TEXT.pdf___71 / 80
Solution: ) ane has different types of books. The data is represented on the bar graph below. se the graph to answer the questions that follow. Y - axis Different Types of Books type of book 12 books Scale on X axis cm on axis cm 10 8 Number of books6 4 2 0 Story Horror Historical X - axis Poetry Fantasy Types of books a) hat is the total number of poetry and fantasy books b) ow many fewer fantasy books than horror books does ane have 68 51704178_BGM_Traveller G4 Mathematics Workbook Part 2_TEXT.pdf___72 / 80
c) hich type of book is maximum in number d) hat is the total number of books Solution: I Apply Short Answer Questions ) iven here is a table showing the points scored by teams of I . raw the bar graph to represent the same. Team Points Mumbai 20 Chennai 16 yderabad 18 Bengaluru 8 Data Handling 69 51704178_BGM_Traveller G4 Mathematics Workbook Part 2_TEXT.pdf___73 / 80
Solution: 70 51704178_BGM_Traveller G4 Mathematics Workbook Part 2_TEXT.pdf___74 / 80
) The number of cards manufactured by a factory in five weeks is given. raw 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 51704178_BGM_Traveller G4 Mathematics Workbook Part 2_TEXT.pdf___75 / 80
Long Answer Questions ) rite the number of each type of mobile and use the data to make a bar graph. ey mobiles Mobile Phones Manufactured by Different Companies Companies Mobiles Number of Mobiles Nokia Samsung Sony Micromax Motorola 72 51704178_BGM_Traveller G4 Mathematics Workbook Part 2_TEXT.pdf___76 / 80
Solution: Data Handling 73 51704178_BGM_Traveller G4 Mathematics Workbook Part 2_TEXT.pdf___77 / 80
) The prices of different items are shown in the table given. Make a bar graph for the data and answer the following questions. a) What is the total price of an ice cream and a Item Price glass of uice together Ice cream 30 Cheese slice 20 b) If ahul buys one ice cream and two slices of 50 cheese, find the total amount he needs to pay. uice 10 Chips 40 c) What is the total price of a packet of chips and Bread two packs of bread d) hat is the total price of all the items Solution: Solution: 74 51704178_BGM_Traveller G4 Mathematics Workbook Part 2_TEXT.pdf___78 / 80
I Explore (H.O.T.S.) Short Answer Question ) The number of girls and boys in the divisions from A to are given as follows. Division A B C D 50 Girls 35 35 35 25 Boys 40 45 30 epresent the given data using a bar graph. Solution: Data Handling 75 51704178_BGM_Traveller G4 Mathematics Workbook Part 2_TEXT.pdf___79 / 80
Long Answer Question ) The population of different cities in and are given in the table. raw a double bar graph and answer the following questions. a) hich city had the maximum population in City Population in lakhs the year A 2016 2018 b) In which cities do you find the same B difference in population for the two years C 25 32 D c) hich city had the minimum population in 30 44 the year 42 48 33 40 d) hich city has the maximum increase in population from to Solution: 76 51704178_BGM_Traveller G4 Mathematics Workbook Part 2_TEXT.pdf___80 / 80
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