232410245-ROSEWOOD-STUDENT-WORKBOOK-MATHEMATICS-G05-PART2

["................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. 16)\t a) A rectangle is 6 metres long and 4 metres wide. What is its area? \t b) Find the perimeter of the triangle given below. 10 cm 6 cm 8 cm = 1 cubic cm. \tc) Find the volume of the cube where each \t d) Find the area of the triangle if its height is 8 cm and base is 6.5 cm. Solution:\t. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . \t ................................................................................. \t ................................................................................. \t ................................................................................. Measurements 97","................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. Application Short Answer Questions 17)\t A box is in the form of a cube. Find its volume if the side of the box measures 6 cm. Solution:\t. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. 18)\t\u0007Amit\u2019s garden is in the form of a rectangle. The length of the garden is 10 m and its breadth is 5 m. Find its area and perimeter.\u0007 Solution:\t. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. Long Answer Questions 19)\t \u0007Find the volume of the following objects. \t a) A cuboidal box of breadth 25 cm, length 30 cm and height 12.5 cm 98","b) A cube with side 29 cm Solution:\t. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. 20)\t a) Find the area of the given shape.\t b) Find the volume of the given solid. \t\t\t\t\t\t\t\t (The length of the side of is 2 cm.) \t\t\t E \t\t\t 5 cm AD 10 cm B 10 cm C Solution:\t. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. Measurements 99","................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 21)\t Find the lengths (in cm) of the sides of the squares with the given perimeters. \t a) 80 m\t\t\t b) 72 m Solution:\t. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. Long Answer Question 22)\t \u0007a) T\u0007 he length of a rectangular hall is 30 m and its perimeter is 100 m. Find the area of the hall. 100","b) \u0007The breadth, length and volume of a matchbox are 3 cm, 5 cm and 15 cu. cm respectively. What is the height of the matchbox? Solution:\t. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. Measurements 101","Practice Questions 1)\t Find the perimeter of the rectangles having the following dimensions. \t a) \u2113 = 12 cm; b = 6 cm \t b) \u2113 = 25.5 cm; b = 12.5 cm\t\t c) \u2113 = 825 cm; b = 5 cm \t d) \u2113 = 3 m; b = 1 m\t\t e) \u2113 = 75 cm; b = 420 cm\t \t 42 2)\t Find the perimeter of the squares having sides of the following dimensions. \t\ta) s = 24 cm\t\t\t b) s = 9.4 cm\t\t\t\t c) s = 250 cm d) s = 3 cm\t\t\t e) s = 100 cm\t\t 4 3)\t Find the perimeter of the following triangles. 5 cm 8 cm 9 cm 12 cm 12 cm 5 cm a. 8 cm b. 3 cm c. 5 cm 6 cm d. 9 cm 4 cm 6 cm 8 cm 32 m 6.25 cm 6.25 cm 17.5 cm e. 32 m f. 32 m g. 9.56 cm h. 10 cm 6.25 cm 14.26 cm 4)\t Find the area of the rectangles having the following dimensions. \t a) \u2113 = 52 cm; b = 15 cm\t b) \u2113 = 25 cm; b = 12 cm\t \t c) \u2113 = 10.25 cm; b = 6 cm \t d) \u2113 = 12 cm; b = 8 cm\t e) \u2113 = 1.5 cm; b = 54 cm\t \t 73 5)\t Find the area of the squares having sides of the following dimensions. \t a) s = 25 cm\t\t\t b) s = 1.4 cm\t\t\t\t c) s = 92 cm\t\t \t d) s = 19 cm\t\t\t e) s = 12.5 cm\t\t 5 6)\t Find the area of the triangles with the following heights and breadths. \t a) h = 22 cm; b = 15 cm\t b) h = 45 cm; b = 12 cm\t \t c) h = 12.5 cm; b = 6 cm \t d) h = 12 cm; b = 14 cm\t e) h = 1.4 cm; b = 80 cm\t 76 102","7)\t Find the volume of the cubes whose edges have the following lengths. \t a) s = 11 cm\t\t b) s = 2.5 cm\t\t c) s = 10 cm \t d) s = 3 cm\t\t e) s = 15 cm 5 8)\t Find the volume of the cuboids having the following dimensions. \t a) \u2113 = 10 cm; b = 6 cm; h = 3 cm\t \t b) \u2113 = 3.5 cm; b = 1.5 cm; h = 0.5 cm\t \t\t\tc) \u2113 = 1200 cm; b = 5 cm; h = 200 cm\t d) \u2113 = 3 cm; b = 1 cm; h = 1 cm 4 24 \t e) \u2113 = 100 cm; b = 50 cm; h = 25 cm 9)\t a) The area of the base of a cube is 64 sq. cm. Find its volume. \t b) The area of the base of a cuboid is 48 sq. cm. Its height is 5 cm. Find its volume. 10)\t The length of a rectangular field is 100 m. Find the area of the field if its breadth is 60 m. 11)\t \u0007The surface of a dining table is in the shape of a square. If the length of its edge is 3.5 m, find the area of the surface. 12)\t The length of a badminton court is 13.4 m and its breadth is 6.1 m. Find its perimeter. 13)\t \u0007The edge of a square-shaped photo frame is 120 cm. Find the length of the ribbon needed to stick around the frame. 14)\t\u0007A shopkeeper wants to pack a TV set in a box with dimensions 50 cm \u00d7 30 cm \u00d7 10 cm. Find the volume of the box. 15)\t T\u0007 he edge of a cubical glass container is 12 cm. A courier boy wants to pack it in a box. He has three types of boxes with volumes 512.750 cubic cm, 1953.125 cubic cm and 5832.50 cubic cm. Which is the most suitable box to pack it safely? Measurements 103","Chapter 14 Data Handling Concept 14.1: Circle Graphs Recall Multiple Choice Questions 1)\t The decimal equivalent to 39% is _______________.\b [] [] \t (A) 0.39\t \t\t (B) 3.9\t\t\t (C) 39\t\t\t (D) 390 [] 2)\t\u000746% can be expressed as a fraction in the form of _______________.\b \t(A) 46 \t\t\t(B) 4.6 \t\t (C) 460 \t\t (D) 0.46 100 100 100 100 3)\t The percentage equivalent to 0.28 is _______________.\b \t (A) 2.8%\t\t\t (B) 28%\t\t (C) 0.28%\t\t (D) 280% & Remembering and Understanding Multiple Choice Questions Shown below is a circle graph of fruits that children in a school like the most. Read the graph and answer the following questions. Favourite fruits Banana 9% Orange 10% Mango Apple 58% 23% 104","4)\t The fruit which most children like is ____________.\b [ ] ] \t (A) apple\t\t (B) mango\t\t (C) orange\t\t (D) banana ] 5)\t Between orange and banana, the fruit which is preferred by children is ___________.\b[ \t (A) orange\t\t (B) banana\t\t (C) both\t\t (D) neither 6)\t The percentage of children who like mango more than banana is ____________.\b [ \t (A) 9%\t\t\t(B) 49%\t\t (C) 58%\t\t (D) 10 % Fill in the Blanks 7)\t\u0007A ____________________ divided into parts to show the fraction of each category of data is called a circle graph. 8)\t Circle graphs are also called as _________________. 9)\t Circle charts are used to represent ____________________. Very Short Answer Questions The graph below gives information about the time spent studying different subjects by a student. Read the graph and answer the questions that follow. Time spent Social Studies Hindi 25% 35% Science Mathematics 25% 15% 10)\t\u0007For which subject did the student spend the least time? Solution:\t. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11)\t\u0007For which two subjects did the student spend the same amount of time? Solution:\t. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12)\t\u0007For which subject did the student spend the most time? Solution:\t. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Data Handling 105","Short Answer Questions 13)\t\u0007The circle graph shows the different modes of transport preferred by students to come to school. Read the graph and answer the following questions. \t a) W\u0007 hich is the most preferred mode of transport for coming to school? \t b) W\u0007 hich is preferred more by the students, going to school by cycle or on foot? Modes of Transport Local School Bus Bus Cycle On foot Car Solution:\t. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . \t ................................................................................. \t ................................................................................. \t ................................................................................. 14)\t\u0007The circle graph shows the percentage of students in each class who prefer English as their first language. Read the graph and answer the following questions. \t a) \u0007Which class has the maximum percentage of students who prefer English? \t b) Which classes, when combined, have 33% of the students preferring English? Percentage of Students Class D 9% Class C 10% Class B Class A 23% 58% 106","Solution:\t. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . \t ................................................................................. \t ................................................................................. \t ................................................................................. Long Answer Questions 15)\t\u0007The type of movie liked by students in a class is given in the form of a circle graph. Observe the graph carefully and answer the questions that follow. Favourite Type of Movies Animated 12% Action 27% SciFi 23% Comedy 38% \t a) \u0007Which type of movie is the most favourite among the students? What is the percentage? \t b) W\u0007 hich type of movie is the least favourite among the students? What is the percentage? \t c) W\u0007 hat is the combined percentage of students who like comedy and SciFi? \t d) W\u0007 hat percentage of students like action movies? Solution:\t. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. Data Handling 107","................................................................................. \t ................................................................................. \t ................................................................................. 16)\t Read the graph shown below and answer the following questions. Production of Vegetables Potato 37.5% Beans 50% Onion 12.5% \t a) \u0007Which vegetable is produced the most? What is its percentage? \t b) W\u0007 hich vegetable is produced the least? What is its percentage? \t c) \u0007What is the percentage of the production of potato? \t d) W\u0007 hat is the combined percentage of the production of onion and potato? Solution:\t. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. Application Short Answer Questions 17)\t\u0007Out of 50 students of Class V, 10 like chess, 15 like badminton and the remaining like football. Determine the fraction and percentage of the data groups in a tabular format. 108","Solution:\t. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. 18)\t\u0007There are 40 students in a class. Given below are the grades they achieved in an examination: \t Grade A: 20 students, Grade B: 10 students, Grade C: 8 students, Grade D: 2 students \t Find the fraction and the percentage of students who received each grade. Solution:\t. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. Long Answer Questions 19)\t\u000725% of Srilekha\u2019s savings is spent on purchasing a computer and 37.5% is spent on buying a Scooty. 12.5% is spent on purchasing a TV and the remaining 25% is spent on a fridge. Represent Srilekha\u2019s expenditure in the form of a circle graph. Data Handling 109","Solution:\t. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. 20)\t\u0007There are 40 students in a class. 15 students like Mathematics, 10 students like Science, 5 students like Social Studies and the remaining 10 students like English. Represent the data in the form of a circle graph. Solution:\t. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . \t ................................................................................. \t ................................................................................. \t ................................................................................. 110","................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 21)\t\u0007The marks obtained by 30 students in Hindi in Class V are given below. Write the tally marks and find their fractions. \t 20, 25, 30, 30, 25, 40, 50, 30, 30, 40, 50, 50, 50, 20, 20, 25, 25, 40, 40, 25, 25, \t 20, 25, 30, 25, 30, 40, 50, 25, 20 Solution:\t. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Data Handling 111","................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. Long Answer Question 22)\t\u0007The different items won by participants in a game show are as given below. \t\u0007dinner set, air conditioner, dinner set, washing machine, dinner set, air conditioner, dinner set, car, bike, air conditioner, dinner set, car, washing machine, dinner set, air conditioner, dinner set, washing machine, dinner set, air conditioner, dinner set, car, bike, air conditioner, dinner set, car, bike, washing machine, air conditioner, dinner set, air conditioner, dinner set, washing machine, dinner set, bike, dinner set, air conditioner, dinner set, car, bike, air conditioner \t\u0007Write tally marks, draw a circle graph for the same and answer the following questions. \t a) How many participants won washing machines? \t b) How many participated in the show? Solution:\t. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. 112","................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. \t ................................................................................. Data Handling 113","Practice Questions 1)\t\u0007The following table shows the number of students absent during a week in a class of 40 students. Day Monday Tuesday Wednesday Thursday Friday Saturday No. of students 5 28 1 35 absent \t Draw a circle graph and colour the parts. 2)\t\u0007The number of students admitted in each grade from 1 to 5 in St. Ann\u2019s school is recorded in the table. Grade Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 No. of students 70 45 90 100 55 admitted \t Draw a circle graph based on the given data. 3)\t\u0007A blood donation camp is conducted near Maya\u2019s house for 4 days. She visited the camp with her father and collected the following data. Day Day 1 Day 2 Day 3 Day 4 No. of donors 17 28 39 16 participated \t Draw a circle graph based on the given data. 4)\t\u0007A librarian conducted a book exhibition for 5 days in Chaya\u2019s village. Chaya collected and recorded the following data in the form of a table. The table shows the number of people who visited exhibition. Day Day 1 Day 2 Day 3 Day 4 Day 5 No. of people visited 120 84 78 168 160 \t Draw a circle graph based on the given data. 5)\t The table below shows the number of wickets taken by Shreya in 5 matches. \t Draw a circle graph based on the given data. First Second Quarter Day Semifinal Final match match final No. of people visited 2 8 5 4 6 114","6)\t The given circle graph shows the growth in the use of cars in 6 states. Growth in car usage \t\u0007Read the graph and answer the following questions. Pondicherry Andhra Pradesh \t\u0007a) \u0007Which state shows the highest growth in car usage? 7% 9% \t b) \u0007Which two states show equal 15% 7% Telangana Karnataka growth in car usage? 50% Kerala 12% \t c) \u0007Which states altogether show growth equal to that of Tamil Nadu Kerala? 7)\t\u0007The given circle graph shows the states ranked by literacy States ranked by literacy rates rates as per the census of 2011. \t\u0007Read the graph and answer the following questions. \t a) W\u0007 rite the names of the states in ascending order as 87.2% 94% per their literacy rates. Tripura Kerala \t b) \u0007What is the difference in percentages of literacy rates 88.7% 91.8% of the last two states? Goa Lakshadweep \t c) W\u0007 hat is the difference in percentages of literacy rates 91.3% of the first and last states? Mizoram 8)\t\u0007The following circle graph shows the number of students from different groups who went on an excursion from a school. \t Read the graph and prepare any three questions based on your observation. Number of students participated in an excursion 25% 17% Group 4 Group 5 24% 14% Group 3 Group 1 20% Group 2 Data Handling 115","9)\t\u0007Choose the correct circle graph for the following data that shows the cost of petrol per litre in four different states. City Hyderabad Mumbai Kolkata Bangalore Cost (in rupees) 87.99 90.35 84.82 83.66 Cost of Petrol 25% 17% Kolkata Bangalore 30% Hyderabad 27% Mumbai Cost of Petrol 24% 25% Bangalore Hyderabad 24% 26% Kolkata Mumbai 10)\t Draw a circle graph based on the number of girls and boys present in the class. 116"]