9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3

MATHEMATICS 3 WORKBOOK - TERM by classklapTM NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 1 5 1/10/2019 10:24:59 AM

11 Decimals - I 1 6 11.1 Like and Unlike Decimals  11 11.2 Compare and Order Decimals  11.3 Add and Subtract Decimals  22 28 12 Decimals - II 37 12.1 Multiply and Divide Decimals  12.2 Percentages  46 13 Measurements 13.1 Perimeter, Area and Volume  14 Data Handling 14.1 Circle Graphs  NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 2 1/10/2019 10:24:59 AM

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 = ______ 100 (A) 5.6 (C) 5.06 (D) 0.56 & 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. NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 3 1 1/10/2019 10:24:59 AM

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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1/10/2019 10:25:00 AM NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 4

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 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 3 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 5 1/10/2019 10:25:00 AM

................................................................................. ................................................................................. ................................................................................. ................................................................................. 18) Reva has 1000 dairy milk chocolates out of which she distributed 276 chocolates. Express the fraction of chocolates that Reva distributed in decimal form. 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. 4 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 6 1/10/2019 10:25:00 AM

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 5 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 7 1/10/2019 10:25:00 AM

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 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) = 6 1/10/2019 10:25:00 AM NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 8

Fill in the Blanks Put the correct sign >, < or = in the blanks. 7) 15.94 ____ 15.49 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 ascending and descending orders. 30.24, 30.5, 30.63, 30.191 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Questions 15) Compare the given pairs of decimals using >, < or =. Decimals - I 7 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 9 1/10/2019 10:25:00 AM

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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 16) a) Arrange the decimal numbers in 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 8 1/10/2019 10:25:00 AM NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 10

. .A. .p.p. .li.c.a. .ti.o. .n. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 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 9 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 11 1/10/2019 10:25:00 AM

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 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? 10 1/10/2019 10:25:00 AM NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 12

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) Sulekha purchased a few items that cost ` 21.61, ` 20.70, ` 22.84, ` 22.91 and ` 20.80. What are the costs of the objects with the least and the highest amounts? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Concept 11.3: Add and Subtract Decimals 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 11 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 13 1/10/2019 10:25:00 AM

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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 1/10/2019 10:25:00 AM NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 14

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 13 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 15 1/10/2019 10:25:00 AM

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 studying English, 23.5 hours for Maths and 13.25 hours for Science. How many hours does he spend studying? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 18) Teena bought crayons, water colours and colour pencils. Their prices are ` 127.50, ` 150 and ` 175.00 respectively. Find the total cost of the items she bought. 14 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 16 1/10/2019 10:25:00 AM

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 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 15 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 17 1/10/2019 10:25:00 AM

................................................................................. 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 16 1/10/2019 10:25:00 AM NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 18

Practice Questions 1) Write the following decimals in the place value chart. a) 5.231 b) 987.236 c) 2564.23 2) Write the expanded forms of the following decimals. a) 565.238 b) 78987.6 c) 15368.22373 3) Convert the given unlike decimals into like decimals. a) 765.728, 565, 3.125, 5.65, 1.2 b) 1.1, 11.11, 111.111, 1.01 c) 9.1, 99.01, 9.001, 99.101 d) 1.2, 1.23, 1.234, 1.345, 1 e) 10, 2, 0.3, 4.002 4) Which is greater of the given decimals? a) 348.8752 and 348.8751 b) 123.987 and 321.789 c) 78987.78988 and 78987.78909 d) 1.899 and 1.988 5) Which is smaller of the given decimals? a) 985.365 and 985.366 b) 1.1234 and 1.3214 c) 99.99 and 99.990 d) 98.0000 and 98.0001 6) Arrange the given decimal numbers in ascending order. a) 9.987, 9.989, 8.999, 8.998 b) 789.368, 789.3608, 798.3612, 987.1 c) 111.123, 101.321, 11.987, 1.9989 d) 869.8564, 7896.9875, 59.0112, 1234.001 e) 1234.123, 789.789, 1002.875, 998.3256 7) Arrange the given decimal numbers in descending order. a) 9.7864, 7, 9.072, 7.001 b) 7789.45, 239.38, 7798.45, 7889.121 b) 11.123, 11.321, 11.987, 11.9989 c) 89.898, 9.989, 89.9000, 89.9101 e) 1.231, 1.2311, 1.875, 1.3256 8) Write 5 decimals: a) between 8.598 and 8.569 b) more than 99.9 c) less than 1.01 Decimals - I 17 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 19 1/10/2019 10:25:00 AM

9) Add the following decimal numbers. a) 7789.45 + 239.38 b) 98.4015 + 789.78 c) 111.123 + 11.321 d) 5684.987 + 158.9989 10) Add the following decimal numbers. a) 1.23, 1.265, 3.256 b) 6.21, 365.2569, 5.1 c) 1.254, 11.584, 100.123 d) 1.11, 11.11, 111.111 11) Which is the bigger sum? a) 123.145 + 89.38 or 623.145 + 139.386 b) 2398.4015 + 789.78 or 3.2101 + 3.2156 c) 111.123 + 19.321 or 65.25 + 65.24 d) 84.987 + 18.9989 or 84.9989 + 18. 987 12) Subtract the second decimal number from the first. a) 7789.45, 7458.7842 b) 1.987, 1.2357 c) 11.7864, 2.325 d) 8349.898, 8110.9259 e) 1.01, 1.001 13) Subtract each decimal number from 1. a) 0.897 b) 0.1265 c) 0.1 d) 0.9999 e) 0.0001 14) Subtract: a) 123.145 + 189.38 from 623.145 + 139.386 b) 9398.4015 + 789.78 from 9873.2101 + 1233.2156 c) 125.823 + 109.321 from 65.25 + 565.24 d) 184.987 + 184.9989 from 368.9989 + 10. 987 15) Which is bigger? a) 923.1 – 81.38 or 923.145 – 81.386 b) 8.45 – 7.78 or 10.45 – 9.78 c) 891.823 – 819.321 or 891.25 – 819.24 d) 8.215 – 4.9019 or 8.89 – 4. 872 16) Find the missing number. a) 89.63 + ? = 135.28 b) 17. 96.21 – ? = 72.76 18 1/10/2019 10:25:00 AM NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 20

17) Solve: a) Add a decimal number to 6.125 to get 8.589 b) Subtract a decimal number from 9.99 to get 1.123 18) Solve: a) Express 18 as the sum of two decimal numbers. b) Express 1.25 as the difference of the two decimal numbers. 19) 16 bananas weigh 1.256 kg. and 12 apples weigh 1.265 kg. Which fruit weighs more? 20) According to the National Institute of Nutrition, the protein content per 100 g in rajma is 22.9 g and 22.5 g in chana. Which grain has more protein content? 21) Compare: a) 46.65 and 49.65 b) 21.21 and 12.12 c) 100.100 and 100.1000 22) Arrange the sizes of the disc in ascending and descending orders according to a) inner extent and b) outer extent Discs Inner Extent Outer Extent Disc 1 1.28 3.17 Disc 2 1.12 2.33 Disc 3 1.29 3.34 Disc 4 1.62 2.54 23) Nutrition information given on a food item is as given below. Nutrition information per 100 g Fat 12.5 g Carbohydrate 78.2 g Sugar 25.6 g Protein 6.5 g Salt 0.73 g How many grams of fat, carbohydrate and salt do you get per 100 g? 24) Aditya’s father filled 3 litres of petrol for his bike and paid ` 270.15. He paid ` 267.66 for 3 litres of petrol a few days back. How much extra did he pay? Decimals - I 19 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 21 1/10/2019 10:25:00 AM

25) Read the table. PROTEIN CONTENT OF GRAINS (INDIAN NAMES) Soyabean (Soybean) 43.2 Masur (Lentil) 25.1 Moong Daal 24.5 Chavli (Cow pea) 24.1 Moong (Green gram) 24 Udad Daal (Black gram dal) 24 Matki (Moth beans) 23.6 Rajma (Fr. Beans) 22.9 22.5 Chana (Bengal gram, roasted) Kuleeth (House gram) 22 Chana Daal 20.8 Peas (Dry) 19.7 Chana (Bengal grams) 17.1 11.8 Wheat Bajra 11.6 Maka (Maize) 11.1 Maida (Refined flour) FITJOG.COM NUTRITION CHARTS©2010FITJOG.COM Find the total protein content in moong, matki and bajra. 20 1/10/2019 10:25:00 AM NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 22

26) Read the table and add the densities of the planets Mercury, Earth and the Moon. Body Density Earth 5.514 Mercury 5.427 The Moon 3.344 27) In the above table, whose density is more, Earth or the Mercury? By how much? 28) From the below table, whose distance (in aeronautical units (AU)) from the Sun is more, Saturn or Uranus? By how much? Body Mass (kg) Distance to Sun (AU) Mercury 330.200 0.390 4,868.500 0.720 Venus 5,973.600 1.000 Earth 641.850 1.520 Mars 1,898,600 5.200 Jupiter 568,460 9.540 Saturn 86,832 19.180 Uranus 102,430 30.060 Neptune 13.105 39.440 Pluto 29) In the above table, a) Whose mass is less, Mercury or Mars? By how much? b) Find the difference between the masses of Venus and Earth. 30) T he length of a rectangular field is 456.284 metres and its breadth is 213.54 metres. Find the length of all the four sides combined. Decimals - I 21 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 23 1/10/2019 10:25:00 AM

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 ________________. 22 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 24 1/10/2019 10:25:00 AM

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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Decimals - II 23 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 25 1/10/2019 10:25:00 AM

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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 24 1/10/2019 10:25:00 AM NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 26

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Decimals - II 25 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 27 1/10/2019 10:25:00 AM

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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 26 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 28 1/10/2019 10:25:00 AM

. .H. i.g. .h.e. r. .O. .r.d.e. .r.T.h.i.n.k. .in. .g. .S.k.i.ll.s. .(.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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Decimals - II 27 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 29 1/10/2019 10:25:00 AM

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 1/10/2019 10:25:00 AM 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 ____________. 28 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 30

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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Decimals - II 29 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 31 1/10/2019 10:25:01 AM

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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. 30 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 32 1/10/2019 10:25:01 AM

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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. Decimals - II 31 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 33 1/10/2019 10:25:01 AM

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. 32 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 34 1/10/2019 10:25:01 AM

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Practice Questions 1) Multiply the following decimal numbers. a) 7789.45 × 10 b) 98.4815 × 100 c) 111.1236 × 1000 d) 5684.9 × 1000 e) 7789.45 × 100 f) 98.4815 × 1000 g) 111.1236 × 10 h) 84.9 × 100 2) Multiply the following decimal numbers. a) 234.12 × 2 b) 4 × 98.48 c) 23.6 × 125 d) 56.89 × 12 e) 9.1 × 111 f) 8.485 × 9 g) 12.12 × 12 h) 56 × 5.2 3) Multiply the following decimal numbers. a) 234.12 × 1.2 b) 2.4 × 42.15 c) 23.6 × 5.6 d) 56.89 × 7.2 e) 9.41 × 11.1 f) 98.48 × 9.24 g) 12.12 × 1.2 h) 100 × 15.22 4) Multiply the following decimal numbers by 1000. a) 123.1 b) 123.123 c) 123.12 d) 1.234 e) 12.345 f) 12.34 g) 123.4567 h) 1.2345 Decimals - II 33 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 35 1/10/2019 10:25:01 AM

5) Multiply 99.999 by the following: a) 10 b) 100 c) 1000 d) 10000 6) Find the missing numbers a) 7.8 × ? = 78 b) 7.89 × ? = 789 c) 67.89 × ? = 678.9 d) 67.89 × ? = 6789 e) 6.789 × ? = 678.9 f) 67.89 × ? = 67890 7) Multiply the following decimal numbers. a) 1.2 × 1.2 × 10 b) 2.4 × 4.2 × 100 c) 2.6 × 7 × 10 d) 2.6 × 70 8) Divide the following: a) 77.41 ÷ 10 b) 98.23 ÷ 100 c) 1112.6 ÷ 100 d) 5714.9 ÷ 1000 e) 5289.454 ÷ 10 f) 18.47 ÷ 1000 g) 1.36 ÷ 1000 h) 5634.9 ÷ 100 9) Divide 1234.99 by the following: a) 10 b) 100 c) 1000 10) Divide the following decimal numbers by 10, 100 and 1000. a) 173.1 b) 423.123 c) 923.12 d) 1.284 e) 78.345 f) 98.34 g) 188.454 h) 4.2795 11) Divide the following decimal numbers. a) 7.7 ÷ 11 b) 98.2 ÷ 2 c) 67.125 ÷ 3 d) 57.141 ÷ 9 e) 529.424 ÷ 4 f) 1.818 ÷ 18 g) 21.35 ÷ 5 h) 93.24 ÷ 6 12) Divide the following decimal numbers. a) 144 ÷ 1.2 b) 625 ÷ 0.5 c) 196 ÷ 1.4 d) 475 ÷ 2.5 e) 1035 ÷ 1.5 f) 1818 ÷ 1.8 g) 2135 ÷ 0.7 h) 468 ÷ 3.6 13) Divide the following decimal numbers. a) 1.69 ÷ 1.3 b) 62.5 ÷ 2.5 c) 1.96 ÷ 1.4 d) 4.75 ÷ 0.5 e) 1.425 ÷ 2.5 f) 18.18 ÷ 1.8 g) 213.5 ÷ 0.7 h) 0.468 ÷ 3.6 34 1/10/2019 10:25:01 AM NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 36

14) Convert the following into percentage. a ) 2 b) 12 c) 123 d) 85 e) 56 f) 9 100 100 100 100 100 100 g) 895 h) 256 i) 72 j) 43 k) 785 l) 1 100 100 100 100 100 100 m) 100 n) 50 100 100 15) Convert the following fractions into percentage. a) 7 b) 7 c) 7 d) 7 e) 7 f) 7 10 50 25 20 4 2 g) 85 h) 56 i) 78 j) 4 k) 12 l) 20 20 25 10 10 50 25 m) 9 n) 5 10 20 16) Convert the following percentages into fractions. a) 12% b) 78% c) 99% d) 1% e) 100% f) 225% g) 25% h) 2% 17) Convert the following percentages into decimals. a) 72% b) 8% c) 229% d) 1% e) 10% f) 147% g) 5% h) 69% 18) Convert the following decimals into fractions. a) 12.5 b) 9.7 c) 12.65 d) 5.008 e) 8.28 f) 0.2 g) 0.25 h) 0.623 19) Convert the following fractions into percentages and decimals. a) 4 b) 12 c) 17 d) 15 e) 1 3 10 50 25 20 4 f) 4 g) 5 h) 16 i) 28 j) 14 k) 19 l) 25 10 10 50 25 20 25 m) 3 n) 16 10 20 Decimals - II 35 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 37 1/10/2019 10:25:01 AM

20) Convert the following decimals into percentages. a) 4.5 b) 8.2 c) 12.3 d) 5.0 e) 0.2 f) 0.02 g) 0.25 h) 0.30 21) Convert the following into percentages. a) 140 + 1080 b) 1520 + 1570 c) 1275 + 13020 d) 15 + 48 e) 1 + 4 f) 0.2 + 2.5 100 100 2 10 g) 8.5 +1.2 h) 0.3 + 0.9 i) 6.5 + 14.5 j) 0.25 + 0.75 22) Cost of 1 kg tomato is ` 19.5. Find the cost of 12.25 kg tomatoes. 23) Cost of 3 litres petrol is ` 274.89. Find the cost of one litre? 24) Aditya and his two friends went to a bakery. They ordered 3 cakes for ` 12.5 each. They also ordered 6 burgers costing ` 35.5 each. Find the total bill and divide the bill amount equally among the three friends. 25) A shopkeeper ordered for the following items. Prepare the bill with the missing numbers. Item Cost per item (`) Number of items Pen 9.5 120 Eraser 3.25 150 Pencil 4.75 100 26) Nisha ordered the following items on Teacher’s day. Prepare the bill with the missing numbers. Item Cost per item (`) Number of items Total cost (`) Chocolate ? 25 62.5 ? 217.5 Sweet 7.25 ? 157.5 Juice packet (100 mℓ) 10.5 ? Grand total 27) The length of a pipe is 25.68 metres. Find the length of 24 such pipes. 28) The length of a rope is 35.25 metres. The length of a park is equal to 13.5 such ropes. Find the length of the park in metres. 29) The Goods and Service tax on electronics is 18%. Express this percentage in decimals. 30) Maya got 24 marks out of 50 in a Mathematics exam. Find the percentage of the marks. 36 1/10/2019 10:25:01 AM NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 38

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 2D 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) 37 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 39 1/10/2019 10:25:01 AM

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. 38 1/10/2019 10:25:01 AM NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 40

Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Questions 15) Find the perimeter of the given figures. a) b) 5 cm 4 cm 5 cm 2 cm c) 3 cm d) 12 cm 6 cm 6 cm Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. Measurements 39 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 41 1/10/2019 10:25:01 AM

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 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: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 40 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 42 1/10/2019 10:25:01 AM

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 41 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 43 1/10/2019 10:25:01 AM

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 20) a) Find the area of the given shape. b) Find the volume of the given solid. E (The length of the side of is 2 cm.) 5 cm AD 10 cm B 10 cm C Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 42 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 44 1/10/2019 10:25:01 AM

................................................................................. 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 ) The length of a rectangular hall is 30 m and its perimeter is 100 m. Find the area of the hall. b) The breadth, length and volume of a matchbox are 3 cm, 5 cm and 15 cu. cm respectively. What is the height of the matchbox? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Measurements 43 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 45 1/10/2019 10:25:01 AM

................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Practice Questions 1) Find the perimeter of the rectangles having the following dimensions. a) ℓ = 12 cm; b = 6 cm b) ℓ = 25.5 cm; b = 12.5 cm c) ℓ = 825 cm; b = 5 cm d) ℓ = 3 m; b = 1 m e) ℓ = 75 cm; b = 420 cm 42 2) Find the perimeter of the squares having sides of the following dimensions. a) s = 24 cm b) s = 9.4 cm c) s = 250 cm d) s = 3 cm e) s = 100 cm 4 3) Find the area of the rectangles having the following dimensions. a) ℓ = 52 cm; b = 15 cm b) ℓ = 25 cm; b = 12 cm c) ℓ = 10.25 cm; b = 6 cm d) ℓ = 12 cm; b = 8 cm e) ℓ = 1.5 cm; b = 54 cm 73 4) Find the area of the squares having sides of the following dimensions. a) s = 25 cm b) s = 1.4 cm c) s = 92 cm d) s = 19 cm e) s = 12.5 cm 5 44 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 46 1/10/2019 10:25:01 AM

5) Find the area of the triangles with the following heights and breadths. a) h = 22 cm; b = 15 cm b) h = 45 cm; b = 12 cm c) h = 12.5 cm; b = 6 cm d) h = 12 cm; b = 14 cm e) h = 1.4 cm; b = 80 cm 76 6) Find the perimeter of the following triangles. 5 cm 8 cm 9 cm 12 cm 12 cm 5 cm a. 8 cm b. 3 cm c. 5 cm 6 cm d. 9 cm 4 cm 6 cm 8 cm 32 m 6.25 cm g. 6.25 cm 17.5 cm e. 32 m f. 32 m 6.25 cm 9.56 cm h. 10 cm 14.26 cm 7) Find the volume of the cubes whose edges have the following lengths. a) s = 11 cm b) s = 2.5 cm c) s = 10 cm d) s = 3 cm e) s = 15 cm 5 8) Find the volume of the cuboids having the following dimensions. a) ℓ = 10 cm; b = 6 cm; h = 3 cm b) ℓ = 3.5 cm; b = 1.5 cm; h = 0.5 cm c) ℓ = 1200 cm; b = 5 cm; h = 200 cm d) ℓ = 3 cm; b = 1 cm; h = 1 cm 4 24 e) ℓ = 100 cm; b = 50 cm; h = 25 cm 9) a) The area of the base of a cube is 64 sq.cm. Find its volume. b) The area of the base of a cuboid is 48 sq. cm. Its height is 5 cm. Find its volume. 10) The length of a rectangular field is 100 m. Find the area of the field if its breadth is 60 m. 11) The surface of a dining table is in the shape of a square. If the length of its edge is 3.5 m, find the area of the surface. 12) The length of a badminton court is 13.4 m and its breadth is 6.1 m. Find its perimeter. 13) The edge of a square-shaped photo frame is 120 cm. Find the length of the ribbon needed to stick around the frame. 14) A shopkeeper wants to pack a TV set in a box with dimensions? Find the volume of the box. 15) T he edge of a cubical glass container is 12 cm. A courier boy wants to pack it in a box. He has three types of boxes with volumes 512.750 cubic cm, 1953.125 cubic cm and 5832.50 cubic cm. Which is the most suitable box to pack it safely? Measurements 45 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 47 1/10/2019 10:25:01 AM

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% 46 1/10/2019 10:25:01 AM NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 48

4) The fruit which most children like is ____________. [ ] ] (A) apple (B) mango (C) orange (D) banana ] 5) Between orange and banana, the fruit which is preferred by children is ___________.[ (A) orange (B) banana (C) both (D) neither 6) The percentage of children who like mango more than banana is ____________. [ (A) 9% (B) 49% (C) 58% (D) 10 % Fill in the Blanks 7) A ____________________ divided into parts to show the fraction of each category of data is called a circle graph. 8) Circle graphs are also called as _________________. 9) Circle charts are used to represent ____________________. Very Short Answer Questions The graph below gives information about the time spent studying different subjects by a student. Read the graph and answer the questions that follow. Time spent Social Studies Hindi 25% 35% Science Mathematics 25% 15% 10) For which subject did the student spend the least time? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11) For which two subjects did the student spend the same amount of time? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12) For which subject did the student spend the most time? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Data Handling 47 NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 49 1/10/2019 10:25:01 AM

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) W hich 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% 48 1/10/2019 10:25:01 AM NR_BGM_9789386663610 MAPLE G05 MATHS WORKBOOK TERM 3_Text.pdf 50