Passport-G5-Workbook-Maths-Part2

Long Answer Questions b) 3 2 c) 24 1 d) 6 4 15) Find the multiplicative inverses of: a) 4 1 7 3 5 9 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 16)  Write the multiplicative inverses of: a) 4 b) 2 c) 46 5 d) 0 26 36 8 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Fractions - II 47 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 47 12-01-2018 15:51:56

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 10.3 I Apply Short Answer Questions 17) Solve: 1 ÷ 2 79 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 18) Solve: 5 ÷ 7 68 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 48 12-01-2018 15:51:56 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 48

Long Answer Questions 19)  Shyam had 7 litres of water. He poured it equally into 3 glasses. How many litres of water 2 is there in each glass? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 7 20)  A book shelf is 42 inches long. Each book on the shelf is inches wide. How many books 6 will fit on the shelf? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 10.3 I Explore (H.O.T.S.) Short Answer Question 21)  If 6 chocolates are broken into quarters, how many chocolate pieces do we get? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. Fractions - II 49 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 49 12-01-2018 15:51:57

................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Question 22)  a) R eena took 5 bread slices from a packet of 30 bread slices. She cut each of them into two equal pieces. What is the fraction of 4 such pieces of the whole packet? b) There is 15 litres of milk in a can. Raj poured it equally into 5 glasses. What is the 25 quantity of milk in each glass? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 50 12-01-2018 15:51:57 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 50

Chapter Decimals - I 11 Concept 11.1: Like and Unlike Decimals 11.1 I Recall Multiple Choice Questions 1)  A number with one decimal place is written as a fraction having ______ as the denominator. [] [] (A) 2 (B) 0 (C) 10 (D) 100 [] 2)  A number with two decimal places is written as a fraction having ______ as the denominator. (A) 2 (B) 1 (C) 10 (D) 100 (B) 6.5 3) 56 = ______ (C) 5.06 (D) 0.56 100 (A) 5.6 11.1 I Remember and Understand Multiple Choice Questions 4) The first place to the right of the decimal point is called the ________________. [ ] (A) hundredths (B) tenths (C) thousandths (D) zero 5) In the number 435.12, the digit in the hundredths place is ________________. [] (A) 4 (B) 5 (C) 1 (D) 2 6) The digit in the tenths place of 102.104 is ________________. [] (A) 2 (B) 4 (C) 1 (D) 10 Fill in the Blanks 7)  Decimal numbers having an equal number of decimal places are called ______________ decimals. 51 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 51 12-01-2018 15:51:58

8) The decimal form of 5569 is ______________. 1000 9) Decimal numbers having equal values are called _______________ decimals. Very Short Answer Questions 10) In the number 308.205, which digit is in the thousandths place? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11) What is the place value of 8 in 87.54? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12) In 0.53, which digit is in the hundredths place? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Short Answer Questions 13) Write the numbers 255.67 and 31.03 in the decimal place value chart. Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 14) Convert the following unlike decimals into like decimals. a) 38.6, 13.72, 29.02, 65.203 b) 49.091, 76.1, 30.28, 18.49 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. Long Answer Questions 15)  Write the expanded forms of the given decimals. Express these decimal numbers in words. a) 445.34 b) 23.456 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 12-01-2018 15:51:58 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 52

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 16)  Write the digits in the tens, ones, tenths and hundredths places of the following numbers. a) 72.5 b) 75.05 c) 12.89 d) 99.271 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 11.1 I Apply Short Answer Questions 17)  55 of the 100 staff members of a school are teachers. Express the fraction of the number of teachers in the decimal form. Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Decimals - I 53 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 53 12-01-2018 15:51:58

................................................................................. ................................................................................. ................................................................................. ................................................................................. 18)  Reva has 1000 dairy milk chocolates out of which she distributed 276 chocolates. Express in decimal form, the fraction of chocolates that Reva distributed. Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Questions 19)  The weights of apples, chickoos and watermelons that Kamla bought are 2343 g, 4123 g and 8902 g respectively. Express the weight of each type of fruit in kilograms. Also, find their total weight in grams. How many kilograms of fruit did Kamla buy in all? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 20)  Yamini has 280 cm of rope and Amar has 164 cm of rope. How many metres of rope does each of them have? What is the total length of the rope? Give your answer in metres. 54 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 54 12-01-2018 15:51:59

Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 11.1 I Explore (H.O.T.S.) Short Answer Question 21)  Out of 100 people, 28 people travelled by bus and 31 travelled by train. Find the fraction of people who travelled by bus and train. Express the fractions in the decimal form. Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Question 22)  58 out of 100 students in a class play football and the rest play cricket. Express the number of students playing football and cricket as fractions and also in their decimal equivalents. Write the decimals in the place value chart. Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. Decimals - I 55 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 55 12-01-2018 15:51:59

................................................................................. ................................................................................. ................................................................................. ................................................................................. Concept 11.2: Compare and Order Decimals 11.2 I Recall Multiple Choice Questions 1) The pair of unlike decimals is ________________. [] [] (A) 12.03, 45.62 (B) 1.24, 9.84 (C) 13.9, 32.82 (D) 132.7, 289.6 [] (D) 63.10 2)  The decimal equivalent to 63.1 is ________________. (D) 125.05 (A) 6.31 (B) 0.631 (C) 631 3) The decimal equivalent to 12.5 is ________________. (A) 12.50 (B) 12.05 (C) 1.25 11.2 I Remember and Understand Multiple Choice Questions 4) Compare 3.4 ______ 4 using >, < or =. [ ] (D) Both (A) and (C) ] (A) < (B) > (C) = ] [ 5) Which of the following statements is true? (D) 9.8 > 8.9 (A) 2.3 > 3.2 (B) 1.4 < 0.1 (C) 1.5 > 5.1 [ (D) Both (B) and (C) 6) Compare 5.60 ______ 5.64 using >, < or =. (A) > (B) < (C) = Fill in the Blanks Put the correct sign >, < or = in the blanks. 7) 15.94 ____ 15.49 56 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 56 12-01-2018 15:51:59

8) 8.01 ____ 8.10 9) 99.9 ____ 99.90 Very Short Answer Questions 10) Arrange the decimal numbers in the ascending order: 2.01, 2.001, 1.02 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11) Compare 54.3 and 5.43. Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12) Which is greater, 7.03 or 7.30? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Short Answer Questions 13) Find the greater number in the following pairs of decimals. a) 755.33 and 255.33 b) 26.79 and 26.798 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. 14) Arrange the following decimal numbers in the ascending and descending orders. 30.24, 30.5, 30.63, 30.191 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Questions 15) Compare the following pairs of decimals using >, < or =. a) 405.68 and 405.681 b) 345.66 and 342.66 c) 46.296 and 47.296 b) 119.487 and 118.486 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. Decimals - I 57 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 57 12-01-2018 15:51:59

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 16) a) Arrange the decimal numbers in the descending order: 51.147, 51.32, 51.6, 51.940 b) Convert these unlike decimals into like decimals: 72.5, 560.635, 5, 64.7 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 58 12-01-2018 15:51:59 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 58

11.2 I Apply Short Answer Questions 17)  The price of sugar is ` 29.50 per kg and that of 2 kg of rice is ` 58. Which item costs more than the other? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. 18)  One student weighs 35.53 kg and another student weighs 35.532 kg. Which one is heavier than the other? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Questions 19)  Ali arranged four wooden boards of lengths 4.5 m, 4.52 m, 4 m, and 4.505 m from the longest to the shortest and vice versa. What are Ali’s orders of the boards? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Decimals - I 59 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 59 12-01-2018 15:52:00

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 20)  Kishan wrote down the lengths of a few sticks as 32.40 cm, 23.124 cm, 23.523 cm and 65.763 cm. He arranged the sticks from the shortest to the longest. He also arranged them in the other way. Find the longest and the shortest lengths of sticks. Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 11.2 I Explore (H.O.T.S.) Short Answer Question 21)  The heights of six students standing in a line from the shortest to the tallest are 1.22 m, 1.28 m, 1.35 m, 1.40 m, 1.48 m, and 1.50 m. Raju is the seventh and the last student to stand in the line. What should be his height? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 12-01-2018 15:52:00 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 60

................................................................................. ................................................................................. ................................................................................. Long Answer Question 22) a) S ix students were running a race. The time taken by the first five students to reach the finish line are 1.6 min, 1.62 min, 1.67 min, 1.65 min, and 1.71 min. A rrange their timings in the ascending order. What should be the time taken by the last runner to reach the finish line? b) Sulekha purchased a few items that cost ` 21.61, ` 20.70, ` 22.84, ` 22.91 and ` 20.80. What are the costs of the objects with the least and the highest amounts? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Concept 11.3: Add and Subtract Decimals 11.3 I Recall Multiple Choice Questions 1) Which of the following pairs represents like decimals? [ ] (D) 132.7, 289.656 (A) 72.03, 53.70 (B) 1.24, 9.8 (C) 13.9, 32.82 Decimals - I 61 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 61 12-01-2018 15:52:00

2) 75.32 and 96.44 are _____________________ decimals. [] [] (A) equivalent (B) like (C) unlike (D) equal (D) all of these 3) An equivalent decimal of 46.600 is __________________. (A) 46.6 (B) 46.60 (C) 46.6000 11.3 I Remember and Understand Multiple Choice Questions 4) 200.011 + 200.022 = ________ [] (A) 200.022 (B) 200.033 (C) 400.033 (D) 200.300 5) 111.111 – 110.111 = _______  [] [] (A) 1.000 (B) 001.000 (C) 1 (D) all of these (C) 111.111 (D) 111.000 6) 999.000 – 888.000 = _______  (A) 0.111 (B) 001.000 Fill in the Blanks 7)  Before adding or subtracting decimals, convert the unlike decimals to ___________ decimals. 8)  The ______________ points of the decimal numbers to be added or subtracted must be placed exactly one below the other. 9) 101.330 + 101.331 = _____________. Very Short Answer Questions 10) Add: 112.02 and 110.01 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11) Subtract: 400.023 from 611.132 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12) Add: 333.433 and 444.344 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Short Answer Questions 13) Solve: a) 119.056 + 142.153 b) 456.172 – 222.210 62 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 62 12-01-2018 15:52:00

Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. 14) Solve: a) 567.810 – 218.900 b) 286.114 + 118.296 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Questions 15) Find: a) 557.65 + 23.45 b) 345.9 – 56.89 c) 143.21 + 467.801 d) 516.128 – 231.027 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 16) Solve: a) 100.148 + 800.162 b) 500.551 + 250.337 c) 247.800 – 118.276 d) 749.782 – 258.817 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. Decimals - I 63 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 63 12-01-2018 15:52:00

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 11.3 I Apply Short Answer Questions 17)  In a week, Kesav spends 11.75 hours reading English, 23.5 hours for Maths and 13.25 hours for Science. How many hours does he spend studying? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 18)  Teena bought crayons, water colours and colour pencils. Their prices are ` 127.50, ` 150 and ` 175.00 respectively. Find the total cost of the items that she bought. Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. 64 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 64 12-01-2018 15:52:01

................................................................................. ................................................................................. Long Answer Questions 19)  Shiva bought dry beans, dry peas, pigeon peas and lentils. The respective weights of these pulses were 212 g, 145 g, 229 g and 300 g. Express these weights in kilograms. What is the total weight (in kilograms) of the pulses that he bought? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................ ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 20)  Rohan bought 100 pencils, 100 pens, 100 sharpeners and a box of 100 erasers. The respective costs of these items were ` 165.50, ` 931.80, ` 318.15 and ` 306.25. What is the total cost of the items he bought? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Decimals - I 65 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 65 12-01-2018 15:52:01

11.3 I Explore (H.O.T.S.) Short Answer Question 21)  Dilip had to give ` 85.90 to Annu and ` 46.56 to Firoz. However, he fell short of ` 75.20. How much money did he have? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. Long Answer Question 22)  Subtract the sum of 72.612 and 6.489 from the sum of 92.708 and 8.314. Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 66 12-01-2018 15:52:01 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 66

Chapter Decimals - II 12 Concept 12.1: Multiply and Divide Decimals 12.1 I Recall Multiple Choice Questions 1) The product of 1500 and 10 is ______. [] [] (A) 15001 (B) 15000 (C) 10510 (D) 11500 [] (C) 1000 (D) 100 2) The quotient when 200 ÷ 5 is ________. (C) 6000 (D) 3500 (A) 40 (B) 400 3) The product of 600 and 10 is ________. (A) 3050 (B) 600 12.1 I Remember and Understand Multiple Choice Questions 4) The product 200.50 × 10 is ______. [] [] (A) 20.50 (B) 250.5 (C) 2005 (D) 205 [] (C) 423.5 (D) 42.35 5) The product 4.235 × 10 is ________. (C) 0.100 (D) 10.01 (A) 4.235 (B) 0.4235 6) The quotient 100.1 ÷ 10 is ________. (A) 100.1 (B) 10.1 Fill in the Blanks 7) The decimal point is shifted to the right by one digit if the multiplier is ______________. 8) 9.9999 ÷ 10 = __________________. 9) The decimal point is shifted to the right by three digits if the multiplier is ________________. 67 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 67 12-01-2018 15:52:02

Very Short Answer Questions 10) Solve: 1.0581 × 10 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11) Find the product of 9.876 and 100. Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12) Solve: 7.9452 × 1000 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Short Answer Questions 13) Solve: a) 21.333 ÷ 3 b) 46.345 × 11 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 14) Solve: a) 22.944 ÷ 2 b) 29.168 × 29 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 68 12-01-2018 15:52:02 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 68

Long Answer Questions 15) Solve: a) 198.50 × 24 b) 364.16 ÷ 16 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 16) Solve: a) 4.36 × 4.4 b) 20284 ÷ 14 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Decimals - II 69 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 69 12-01-2018 15:52:02

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 12.1 I Apply Short Answer Questions 17) The weight of a rice bag is 15.55 kg. What is the total weight of 15 such bags? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 18) Ram bought 4 shirts for ` 900.75 each. How much did he pay in all? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 70 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 70 12-01-2018 15:52:03

Long Answer Questions 19)  Tony has 154.3 kg of coffee powder. He puts them equally into 8 bags. How much coffee powder will be there in each bag? Will there be any amount of powder left? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 20)  The cost of 10 mangoes is ` 330.60 and 10 oranges is ` 200.50. What is the total cost of 1 mango and 1 orange? Find the total cost of 10 mangoes and 10 oranges. Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Decimals - II 71 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 71 12-01-2018 15:52:03

12.1 I Explore (H.O.T.S.) Short Answer Question 21) Find the missing numbers. a) _______________ × 100 = 235.2 b) 11.012 × _______________ = 1101.2 c) 781.4 × ______________ = 7814 d) 99.012 × _____________ = 990.12 Long Answer Question 22)  The cost of 1.2 kg basmati rice is ` 185.64. What is the cost of one kg of basmati rice? If 1 kg of wheat costs ` 54, which item costs less and by how much? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 72 12-01-2018 15:52:03 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 72

Concept 12.2: Percentages 12.2 I Recall Multiple Choice Questions 1) 0.75 expressed as a fraction is ______. [] [] (A) 75 (B) 75 (C) 0.75 (D) 7.5 [] 100 10 10 100 [] 2) The fraction equivalent to 0.55 is _______. (D) 0.55 [] 1000 [] (A) 0.5 (B) 55 (C) 1 62.0 100 100 5 (D) 3) 0.62 = ______ 1000 62 6.2 0.62 (D) 3.05% (A) (B) (C) (D) 9 100 100 10 2 (D) 20 12.2 I Remember and Understand 100 Multiple Choice Questions 4) The percentage equivalent of 35 is _______________. 100 (A) 3.5% (B) 35% (C) 0.35% 5) The fraction equivalent to 92% is _______________. (A) 0.92 (B) 9.2 (C) 92 100 100 100 6) The fraction equivalent to 20% is _______________. (A) 0.2 (B) 2.0 (C) 0.02 100 100 100 Fill in the Blanks 7) The fraction equivalent to 5.4% is _________. Decimals - II 73 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 73 12-01-2018 15:52:06

8) If 25% is converted into a fraction, the result is ____________. 9) To convert 50.1% into a fraction, we divide 501 by __________. Very Short Answer Questions 10) Convert 22 into percentage. 100 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11) Express 12 % as a fraction. Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12) What is the percentage of 24 ? 50 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Short Answer Questions 13) Convert the following percentages into fractions and decimals. a) 90 % b) 45 % Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. 14)  Convert the following fractions into percentages and mention how they are read. Convert them into their respective decimal forms. a) 63 b) 57 100 100 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 74 12-01-2018 15:52:06 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 74

Long Answer Questions 15) Convert the given percentages into fractions and decimals. Percentages Fractions Decimals 20% 55% 25% 15% 16) Convert the following into percentages and read them. a) 54 b) 28 c) 4 d) 2 100 50 10 5 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 12.2 I Apply Short Answer Questions 17)  9 of a glass is filled with water. What percentage of the glass is filled with water? 25 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. Decimals - II 75 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 75 12-01-2018 15:52:07

18)  Out of 25 students, 20 students were present in the Maths class. What percentage of the students were present in the class? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Questions 19)  Out of 50 students, 20 students like playing football, 16 students like kabaddi and the others like cricket. What percentage of students like each game? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 20)  Out of 100 marks in each subject, Simran scored 35 marks in Maths, 91 marks in English, 45 marks in Science and 80 marks in Social Studies. What is the percentage of marks scored in each subject? In which subjects did she score the maximum and the minimum percentages? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 76 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 76 12-01-2018 15:52:07

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 12.2 I Explore (H.O.T.S.) Short Answer Question 21)  A class has 40 students divided in two teams, of which 28 belong to the red team. What percentage of students belong to the blue team? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Question 22)  Rahul has ` 1000. He spent 15 % on groceries, 17 % on petrol, and 26.5 % on clothes and 14 % on medicines. What amount is left with him? What are his total expenses? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. Decimals - II 77 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 77 12-01-2018 15:52:07

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 78 12-01-2018 15:52:07 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 78

Chapter Measurements 13 Concept 13.1: Perimeter, Area and Volume 13.1 I Recall Multiple Choice Questions PO 1) The corners of the given figure are ______________. [] [] MN [] (A) M, N, P, Q (B) M, Q, N, S (C) N, O, M, P (D) M, R, O, T TS 2) The sides of the given figure are ______________. Q R (A) Q, R, T and S (B) QR, RS, ST and TQ (C) QS, RT, RQ and ST L (D) both (A) and (B) 3) The given 2-D shape is a ______________. JK (A)triangle (B) square (C) rectangle (D) circle 13.1 I Remember and Understand Multiple Choice Questions C [] , AB and DC represent ______________. D 4) In the given figure (A) area AB (C) breadth (D) perimeter (B) length 5) The product that gives the area of a square is ______________. [ ] (A) s × s (B) 4s (C) l × b (D) 2 (l + b) 6) The units of area are ______________. [ ] (A) sq. m (B) cm (C) sq. cm (D) both (A) and (C) PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 79 79 12-01-2018 15:52:08

Fill in the Blanks 7) Perimeter of a rectangle is given by _______________________. 8) Perimeter of a square is given by _______________________. 9) A cube of edge 1 cm is called a _______________________ cube. Very Short Answer Questions 10) Write the formula for the area of a triangle. Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11) Find the area of a square having sides 4 cm. Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12) A rectangle is 4 metres long and 2 metres wide. What is its perimeter? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Short Answer Questions 13) Find the perimeter of the following figures.  a) 2 cm b) 4 cm 6 cm Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. 14) Find the perimeter and area of a square if the length of its sides is 4.1 cm. Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80 12-01-2018 15:52:08 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 80

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Questions 15) Find the perimeter of the given figures. a) b) 5 cm 5 cm 2 cm 4 cm c) 3 cm d) 12 cm 6 cm 6 cm Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. Measurements 81 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 81 12-01-2018 15:52:08

.................................................................................10 cm6 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 82 12-01-2018 15:52:09 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 82

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 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) Find 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Measurements 83 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 83 12-01-2018 15:52:09

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 84 12-01-2018 15:52:10 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 84

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 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) T he 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Measurements 85 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 85 12-01-2018 15:52:10

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 86 12-01-2018 15:52:10 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 86

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% PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 87 87 12-01-2018 15:52:11

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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88 12-01-2018 15:52:12 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 88

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 Bus School 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) Which 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% Data Handling 89 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 89 12-01-2018 15:52:12

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) Which 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) W hat percentage of students like action movies? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 90 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 90 12-01-2018 15:52:12

................................................................................. ................................................................................. ................................................................................. 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. Data Handling 91 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 91 12-01-2018 15:52:12

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 19)  25% of Srilekha’s 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’s expenditure in the form of a circle graph. 92 12-01-2018 15:52:12 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 92

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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. Data Handling 93 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 93 12-01-2018 15:52:12

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94 12-01-2018 15:52:13 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 94

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Data Handling 95 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 95 12-01-2018 15:52:13

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 96 12-01-2018 15:52:13 PPS_Maths_G5_Part 2_WB_MERGED File_30052017.indb 96