Alpine-G5-Workbook-Maths-Part2

Long Answer Questions b) 3 2 c) 24 1 d) 64 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 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 51 03-Feb-18 4:52:49 PM

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Application Short Answer Questions 17) Solve: 1 ÷ 2 79 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 18) Solve: 5 ÷ 7 68 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 48 03-Feb-18 4:52:50 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 52

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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 20) A book shelf is 42 inches long. Each book on the shelf is 7 inches wide. How many books 6 will fit on the shelf? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Higher Order Thinking Skills (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 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 53 03-Feb-18 4:52:50 PM

................................................................................. ................................................................................. ................................................................................. ................................................................................. 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) T here 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 03-Feb-18 4:52:50 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 54

Chapter 11 Decimals - I Concept 11.1: Like and Unlike Decimals 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 & Remembering and Understanding 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 (D) 10 6) The digit in the tenths place of 102.104 is ________________. [] (A) 2 (B) 4 (C) 1 Fill in the Blanks 7) Decimal numbers having an equal number of decimal places are called ______________ decimals. 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 55 51 03-Feb-18 4:52:50 PM

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 03-Feb-18 4:52:50 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 56

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Application 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 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 57 03-Feb-18 4:52:50 PM

................................................................................. ................................................................................. ................................................................................. ................................................................................. 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 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 58 03-Feb-18 4:52:50 PM

Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Higher Order Thinking Skills (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 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 59 03-Feb-18 4:52:50 PM

................................................................................. ................................................................................. ................................................................................. ................................................................................. Concept 11.2: Compare and Order Decimals 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 & Remembering and Understanding 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 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 60 03-Feb-18 4:52:50 PM

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 d) 119.487 and 118.486 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. Decimals - I 57 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 61 03-Feb-18 4:52:50 PM

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 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 03-Feb-18 4:52:50 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 62

Application 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 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 63 03-Feb-18 4:52:50 PM

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Higher Order Thinking Skills (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? 60 03-Feb-18 4:52:50 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 64

Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. Long Answer Question 22) a) Six 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) S ulekha 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 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 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 65 03-Feb-18 4:52:50 PM

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 & Remembering and Understanding Multiple Choice Questions 4) 200.011 + 200.022 = ________ [] [] (A) 200.022 (B) 200.033 (C) 400.033 (D) 200.300 [] (C) 1 (D) all of these 5) 111.111 – 110.111 = _______  (C) 111.111 (D) 111.000 (A) 1.000 (B) 001.000 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 03-Feb-18 4:52:50 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 66

Short Answer Questions 13) Solve: a) 119.056 + 142.153 b) 456.172 – 222.210 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Decimals - I 63 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 67 03-Feb-18 4:52:50 PM

16) Solve: a) 100.148 + 800.162 b) 500.551 + 250.337 c) 247.800 – 118.276 d) 749.782 – 258.817 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Application 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 64 03-Feb-18 4:52:50 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 68

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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. 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 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 69 03-Feb-18 4:52:50 PM

................................................................................. ................................................................................. ................................................................................. Higher Order Thinking Skills (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 03-Feb-18 4:52:50 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 70

Chapter 12 Decimals - II Concept 12.1: Multiply and Divide Decimals Recall Multiple Choice Questions 1) The product of 1500 and 10 is ______. [] [] (A) 15001 (B) 15000 (C) 10510 (D) 11500 [] 2) The quotient when 200 ÷ 5 is ________. (A) 40 (B) 400 (C) 1000 (D) 100 3) The product of 600 and 10 is ________. (A) 3050 (B) 600 (C) 6000 (D) 3500 & Remembering and Understanding 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 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 71 03-Feb-18 4:52:50 PM

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 03-Feb-18 4:52:50 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 72

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 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 73 03-Feb-18 4:52:50 PM

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Application 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 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 74 03-Feb-18 4:52:50 PM

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 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 75 03-Feb-18 4:52:50 PM

Higher Order Thinking Skills (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 rice is ` 185.64. What is the cost of one kg of rice? If 1 kg of wheat costs ` 54, which item costs less and by how much? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 72 03-Feb-18 4:52:50 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 76

Concept 12.2: Percentages 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 _______. [] [] (A) 0.5 (B) 55 (C) 1 (D) 0.55 100 100 5 1000 3) 0.62 = ______ (A) 62 (B) 6.2 (C) 0.62 (D) 62.0 100 100 10 1000 & Remembering and Understanding Multiple Choice Questions (D) 3.05% 35 4) The percentage equivalent of 100 is _______________. (A) 3.5% (B) 35% (C) 0.35% 5) The fraction equivalent to 92% is _______________. (A) 0.92 (B) 9.2 (C) 92 (D) 9 100 100 100 2 6) The fraction equivalent to 20% is _______________. 0.2 2.0 0.02 20 (A) 100 (B) 100 (C) 100 (D) 100 Fill in the Blanks 7) The fraction equivalent to 5.4% is _________. 8) If 25% is converted into a fraction, the result is ____________. Decimals - II 73 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 77 03-Feb-18 4:52:51 PM

9) To convert 50.1% into a fraction, we divide 501 by __________. Very Short Answer Questions 22 10) Convert 100 into percentage. Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11) Express 12 % as a fraction. Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 12) What is the percentage of 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 03-Feb-18 4:52:51 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 78

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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Application Short Answer Questions 9 17)  25 of a glass is filled with water. What percentage of the glass is filled with water? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. Decimals - II 75 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 79 03-Feb-18 4:52:51 PM

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 hockey, 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 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 80 03-Feb-18 4:52:51 PM

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Higher Order Thinking Skills (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 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 81 03-Feb-18 4:52:51 PM

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 78 03-Feb-18 4:52:51 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 82

Chapter 13 Measurements Concept 13.1: Perimeter, Area and Volume Recall Multiple Choice Questions P O 1) The corners of the given figure are ______________. [] [] M N [] (A) M, N, P, Q (B) M, Q, N, S (C) N, O, P, M (D) M, R, O, T TS 2) The sides of the given figure are ______________. QR (A) Q, R, T and S (B) QR, RS, ST and TQ (C) QS, RT, RQ and ST (D) both (A) and (B) L is a ______________. 3) The given 2-D shape (A) triangle JK (C) rectangle (D) circle (B) square & Remembering and Understanding Multiple Choice Questions C [] , AB and DC represent ______________. D 4) In the given figure AB (A) area (B) length (C) breadth (D) perimeter 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) 79 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 83 03-Feb-18 4:52:51 PM

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 03-Feb-18 4:52:51 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 84

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 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 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 85 03-Feb-18 4:52:51 PM

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 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. 10 cm 6 cm 8 cm = 1 cubic cm. c) Find the volume of the cube where each d) Find the area of the triangle if its height is 8 cm and base is 6.5 cm. Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 82 03-Feb-18 4:52:51 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 86

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Application Short Answer Questions 17) A box is in the form of a cube. Find its volume if the side of the box measures 6 cm. Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 18) Amit’s garden is in the form of a rectangle. The length of the garden is 10 m and its breadth is 5 m. Find its area and perimeter. Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Questions 19) F ind the volume of the following objects. a) A cuboidal box of breadth 25 cm, length 30 cm and height 12.5 cm b) A cube with side 29 cm Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Measurements 83 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 87 03-Feb-18 4:52:51 PM

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 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 03-Feb-18 4:52:51 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 88

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Higher Order Thinking Skills (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) T he length of a rectangular hall is 30 m and its perimeter is 100 m. Find the area of the hall. b) The breadth, length and volume of a matchbox are 3 cm, 5 cm and 15 cu. cm respectively. What is the height of the matchbox? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Measurements 85 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 89 03-Feb-18 4:52:51 PM

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 86 03-Feb-18 4:52:51 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 90

Chapter 14 Data Handling Concept 14.1: Circle Graphs 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% & Remembering and Understanding Multiple Choice Questions Shown below is a circle graph of fruits that children in a school like the most. Read the graph and answer the following questions. Favourite fruits Banana 9% Orange 10% Mango Apple 58% 23% 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 91 87 03-Feb-18 4:52:51 PM

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 03-Feb-18 4:52:51 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 92

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) W hich is preferred more by the students, going to school by cycle or on foot? Modes of Transport Local School Bus Bus Cycle On foot Car Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. 14) The circle graph shows the percentage of students in each class who prefer English as their first language. Read the graph and answer the following questions. a) W hich class has the maximum percentage of students who prefer English? b) Which classes, when combined, have 33% of the students preferring English? Percentage of Students Class D 9% Class C 10% Class B Class A 23% 58% 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 93 Data Handling 89 03-Feb-18 4:52:51 PM

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 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 94 03-Feb-18 4:52:51 PM

................................................................................. ................................................................................. ................................................................................. 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) What is the percentage of the production of potato? d) W hat is the combined percentage of the production of onion and potato? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Application 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 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 95 03-Feb-18 4:52:51 PM

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 03-Feb-18 4:52:51 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 96

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 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 97 03-Feb-18 4:52:51 PM

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Higher Order Thinking Skills (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 03-Feb-18 4:52:51 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 98

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 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 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 99 03-Feb-18 4:52:51 PM

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 96 03-Feb-18 4:52:51 PM 181010052-Alpine-G5-Workbook-Maths-Part2.pdf 100