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

10 cm .................................................................................6 cm ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 16) a) A rectangle is 6 metres long and 4 metres wide. What is its area? b) Find the perimeter of the triangle given below. 8 cm c) Find the volume of the cube where each = 1 cubic cm d) Find the area of the triangle if its height is 8 cm and base is 6.5 cm. Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Measurements 97

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 13.1 I Apply Short Answer Questions 17) A box is in the form of a cube. Find its volume if the side of the box measures 6 cm. Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 18) Amit’s 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. Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Questions 19) F ind the volume of the following objects. a) a cuboidal box of breadth 25 cm, length 30 cm and height 12.5 cm b) a cube with side 29 cm Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 98

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 20) a) Find the area of the given shape. b) Find the volume of the given solid. (The length of the side of is 2 cm.) E 5 cm AD 10 cm B 10 cm C Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Measurements 99

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 13.1 I Explore (H.O.T.S.) Short Answer Question 21) Find the lengths (in cm) of the sides of the squares with the given perimeters. a) 80 m b) 72 m Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Question 22) a ) The length of a rectangular hall is 30 m and its perimeter is 100 m. Find the area of the hall. b) The 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Measurements 101

Practice Questions 1) Find the perimeter of the rectangles having the following dimensions. a) ℓ = 12 cm; b = 6 cm b) ℓ = 25.5 cm; b = 12.5 cm c) ℓ = 825 cm; b = 5 cm d) ℓ = 3 m; b = 1 m e) ℓ = 75 cm; b = 420 cm 42 2) Find the perimeter of the squares having sides of the following dimensions. a) s = 24 cm b) s = 9.4 cm c) s = 250 cm d) s = 3 cm e) s = 100 cm 4 3) 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 d. c. 5 cm 6 cm 4 cm 9 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) Find the area of the rectangles having the following dimensions. a) ℓ = 52 cm; b = 15 cm b) ℓ = 25 cm; b = 12 cm c) ℓ = 10.25 cm; b = 6 cm d) ℓ = 12 cm; b = 8 cm e) ℓ = 1.5 cm; b = 54 cm 73 5) Find the area of the squares having sides of the following dimensions. a) s = 25 cm b) s = 1.4 cm c) s = 92 cm d) s = 19 cm e) s = 12.5 cm 5 6) Find the area of the triangles with the following heights and breadths. a) h = 22 cm; b = 15 cm b) h = 45 cm; b = 12 cm c) h = 12.5 cm; b = 6 cm d) h = 12 cm; b = 14 cm e) h = 1.4 cm; b = 80 cm 76 102

7) Find the volume of the cubes whose edges have the following lengths. a) s = 11 cm b) s = 2.5 cm c) s = 10 cm d) s = 3 cm e) s = 15 cm 5 8) Find the volume of the cuboids having the following dimensions. a) ℓ = 10 cm; b = 6 cm; h = 3 cm b) ℓ = 3.5 cm; b = 1.5 cm; h = 0.5 cm c) ℓ = 1200 cm; b = 5 cm; h = 200 cm d) ℓ = 3 cm; b = 1 cm; h = 1 cm e) ℓ = 100 cm; b = 50 cm; h = 25 cm 4 24 9) a) The area of the base of a cube is 64 sq.cm. Find its volume. b) The area of the base of a cuboid is 48 sq. cm. Its height is 5 cm. Find its volume. 10) The length of a rectangular field is 100 m. Find the area of the field if its breadth is 60 m. 11) The 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) The length of a badminton court is 13.4 m and its breadth is 6.1 m. Find its perimeter. 13) T he edge of a square-shaped photo frame is 120 cm. Find the length of the ribbon needed to stick around the frame. 14) A shopkeeper wants to pack a TV set in a box with dimensions 50 cm × 30 cm × 10 cm. Find the volume of the box. 15) T 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 Data Handling 14 Concept 14.1: Circle Graphs 14.1 I Recall Multiple Choice Questions 1) The decimal equivalent to 39% is _______________. [] [] (A) 0.39 (B) 3.9 (C) 39 (D) 390 [] 2) 46% can be expressed as a fraction in the form of _______________. (A) 46 (B) 4.6 (C) 460 (D) 0.46 100 100 100 100 3) The percentage equivalent to 0.28 is _______________. (A) 2.8% (B) 28% (C) 0.28% (D) 280% 14.1 I Remember and Understand 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) The fruit which most children like is ____________. [ ] ] (A) apple (B) mango (C) orange (D) banana ] 5) Between orange and banana, the fruit which is preferred by children is ___________.[ (A) orange (B) banana (C) both (D) neither 6) The percentage of children who like mango more than banana is ____________. [ (A) 9% (B) 49% (C) 58% (D) 10% Fill in the Blanks 7) A ____________________ divided into parts to show the fraction of each category of data is called a circle graph. 8) Circle graphs are also called as _________________. 9) 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) For which subject did the student spend the least time? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11) For which two subjects did the student spend the same amount of time? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12) For which subject did the student spend the most time? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Data Handling 105

Short Answer Questions 13) The circle graph shows the different modes of transport preferred by students to come to school. Read the graph and answer the following questions. a) Which is the most preferred mode of transport for coming to school? b) Which 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. 14) The 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. a) W hich class has the maximum percentage of students who prefer English? b) Which classes, when combined, have 33% of the students preferring English? Class D 9% Class C 10% Class B Class A 23% 58% 106

Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. Long Answer Questions 15) The 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% a) Which type of movie is the most favourite among the students? What is the percentage? b) W hich type of movie is the least favourite among the students? What is the percentage? c) What is the combined percentage of students who like comedy and SciFi? d) What percentage of students like action movies? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Data Handling 107

................................................................................. ................................................................................. ................................................................................. 16) Read the graph shown below and answer the following questions. Production of Vegetables Potato 37.5% Beans 50% Onion 12.5% a) Which vegetable is produced the most? What is its percentage? b) Which vegetable is produced the least? What is its percentage? c) W hat is the percentage of the production of potato? d) What is the combined percentage of the production of onion and potato? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 14.1 I Apply Short Answer Questions 17) Out 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 18) There are 40 students in a class. Given below are the grades they achieved in an examination: Grade A: 20 students, Grade B: 10 students, Grade C: 8 students, Grade D: 2 students Find the fraction and the percentage of students who received each grade. Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Questions 23 19) 8 of Srilekha’s savings is spent on purchasing a computer and is spent on buying 1 2 8 a Scooty. is spent on purchasing a TV and the remaining is spent on a fridge. 88 Represent Srilekha’s expenditure in the form of a circle graph. Data Handling 109

Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 20) There 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. 110

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 14.1 I Explore (H.O.T.S.) Short Answer Question 21) The marks obtained by 30 students in Hindi in Class V are given below. Write the tally marks and find their fractions. 20, 25, 30, 30, 25, 40, 50, 30, 30, 40, 50, 50, 50, 20, 20, 25, 25, 40, 40, 25, 25, 20, 25, 30, 25, 30, 40, 50, 25, 20. Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Data Handling 111

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Question 22) The different items won by participants in a game show are as given below. dinner 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 Write tally marks, draw a circle graph for the same and answer the following questions. a) How many participants won washing machines? b) How many participated in the show? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 112

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Practice Questions 1) The 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 2 8 1 35 absent Draw a circle graph and colour the parts. 2) The number of students admitted in each grade from 1 to 5 in St. Ann’s 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 Draw a circle graph based on the given data. 3) A blood donation camp is conducted near Maya’s 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 Draw a circle graph based on the given data. 4) A librarian conducted a book exhibition for 5 days in Chaya’s 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 Draw a circle graph based on the given data. 5) The table below shows the number of wickets taken by Shreya in 5 matches. Draw a circle graph based on the given data. Day First Second Quarter Semifinal Final match match final No. of people visited 2 8 5 4 6 114

6) The given circle graph shows the growth in the use of cars in 6 states. Read the graph and answer the following Growth in car usage questions. 7% 9% a) Which state shows the highest growth in 15% 7% car usage? Andhra Pradesh b) W hich two states show equal 12% Karnataka growth in car usage? Kerala 50% Tamil Nadu c) Which states altogether show growth Telangana equal to that of Kerala? Pondichery 7) The given circle graph shows the states ranked by literacy rates as per the census of 2011. States ranked by literacy rates Read the graph and answer the following 87.2% 94% Kerala questions. Lakshadweep 88.7% 91.8% Mizoram a) Write the names of the states in 91.3% Goa ascending order as per their literacy Tripura rates. b) What is the difference in percentages of literacy rates of the last two states? c) W hat is the difference in percentages of literacy rates of the first and last states? 8) The following circle graph shows the number of students from different groups who went on an excursion from a school. Read the graph and prepare any three questions based on your observation. Number of students participated in an excursion 25% 17% Group 1 24% 14% Group 2 Group 3 20% Group 4 Group 5 Data Handling 115

9) Choose 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 17% Hyderabad Mumbai 25% Kolkata Bangalore 30% 27% Cost of Petrol 24% 25% Hyderabad Mumbai 24% 26% Kolkata Bangalore 10) Draw a circle graph based on the number of girls and boys present in the class. 116