SUMMIT-STUDENT-WORKBOOK-MATHEMATICS-G05-Combine

by classklapTM MATHEMATICS WORKBOOK Enhanced Edition 5

Chapter TABLE OF Page No. CONTENTS 1 Part 1 9 31 1. Roman Numerals 49 2. Number Work 75 3. Addition and Subtraction 4. Multiplication and Division 5. Fractions

IntroducintGeo1mtricalFgues Chapter 1: Roman Numerals 1) Rules to Write Numbers in Roman Numerals. (Textbook, Pg. 1) 2) Conversion of Roman Numerals to International Numerals and vice versa (Textbook, Pg. 1) 1.1: Roman Numerals Very Short Answer Questions Write the following numbers using Roman numerals. Sr. Number International Numeral Roman Numerals 1) 20 S 2) 1 3) 7 11 4) 3 Powered by Roman Numerals

Write the following numbers using International numerals. Sr. Number Roman Numerals International Numerals 5) XI 6) II 7) 8) V (Textbook, Pg. 2) 9) VII (Textbook, Pg. 2) 10) XVIII (Textbook, Pg. 2) IX (Textbook, Pg. 2) Short Answer Questions 11) Write the following numbers using International numerals. (Textbook, Pg. 2) a) X b) XIII Solution: ...………………………………………………………………………………………... …………………………………………………………………………………………................... 12) Write the following numbers using International numerals. (Textbook, Pg. 2) a) XIV b) XVI Solution: ...………………………………………………………………………………………... …………………………………………………………………………………………................... 13) Write the numbers using Roman numerals. 2 a) 19 b) 6 Solution: ...………………………………………………………………………………………... …………………………………………………………………………………………...................

14) Write the numbers using Roman numerals. IntroducintGeomtricalFgues a) 14 b) 21 Solution: ...………………………………………………………………………………………... …………………………………………………………………………………………................... 15) In the table below, each given number is written in international numerals and then again in Roman numerals. If it is written correctly, put ‘ ’ in the box under it. If not, put ‘X’ and correct it. International numerals 25 9 Roman numerals IIII V IIX Right / Wrong (If wrong, correct the numeral.) 16) In the table below, each given number is written in international numerals and then again in Roman numerals. If it is written correctly, put ‘ ’ in the box under it. If not, put ‘X’ and correct it. International numerals 13 17 Roman numerals XIII XVI Right / Wrong (If wrong, correct the numeral.) 17) Answer the following: 33 a) How many times can the symbols I and X be repeated consecutively? b) Which Roman numeral cannot be repeated consecutively? Solution: ...………………………………………………………………………………………... …………………………………………………………………………………………................... Powered by Roman Numerals

…………………………………………………………………………………………................... …………………………………………………………………………………………................... 18) Answer the following: a) Which operation is performed when I or V is on the right side of the symbol of a bigger number? b) Which operation is performed when I or V is on the left side of the symbol of a bigger number? Solution: ...………………………………………………………………………………………... …………………………………………………………………………………………................... …………………………………………………………………………………………................... …………………………………………………………………………………………................... …………………………………………………………………………………………................... Long Answer Questions 19) Write all the numbers from 1 to 20 using Roman numerals. (Textbook, Pg. 2) Solution: Number Roman numerals Number Roman numerals 12 34 56 78 49 10 11 12 13 14 15 16

Number Roman numerals Number Roman numeralsIntroducintGeomtricalFgues 17 18 19 20 20) Fill in the empty boxes. Number Twenty Eight Sixteen Roman VII XXII XVIII numerals Powered by 55 Roman Numerals

IntroducintGeom2tricalFgues Chapter 2: Number Work 2.1: Reading and Writing Six-digit and Seven-digit Numbers 1) Revision (Textbook, Pg. 3) 2) Six-digit Numbers (Textbook, Pg. 4) a) Introducing Six-digit Number (Textbook, Pg. 5) b) Reading Six-digit Numbers c) Writing Six-digit Numbers in Figures 3) Introducing Seven-digit Numbers 9 Powered by Number Work

Very Short Answer Questions Read the numbers and write them in words. Sr. No. Numbers In Words 1) 7,65,234 (Textbook, Pg. 5) 2) 4,73,225 (Textbook, Pg. 5) 3) 6,47,851 (Textbook, Pg. 5) 4) 9,00,999 (Textbook, Pg. 5) 5) 25,79,899 (Textbook, Pg. 6) 6) 30,70,506 (Textbook, Pg. 6) 10 7) 45,71,504 (Textbook, Pg. 6) 8) 21,09,900 (Textbook, Pg. 6)

9) Read the number and write it in figures. (Textbook, Pg. 5)IntroducintGeomtricalFgues Seven lakh forty-nine thousand three hundred and sixty-two Solution: ..………………………………………………………………………………………... 10) Read the number and write it in figures. ‘Eight lakh’ (Textbook, Pg. 5) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. Short Answer Questions Read the numbers and write them in words. Sr. No. Numbers In Words 11) a) 3,27,001 (Textbook, Pg. 5) b) 8,75,375 (Textbook, Pg. 5) 12) a) 1,50,437 (Textbook, Pg. 5) b) 2,03,174 (Textbook, Pg. 5) 11 Powered by Number Work

Sr. No. Numbers In Words 13) a) 5,75,010 (Textbook, Pg. 5) b) 4,03,005 (Textbook, Pg. 5) 14) a) 43,07,854 (Textbook, Pg. 6) b) 50,00,000 (Textbook, Pg. 6) 15) a) 60,00,010 (Textbook, Pg. 6) b) 70,00,100 (Textbook, Pg. 6) 16) Read the numbers and write them in figures. a) One lakh thirty-five thousand eight hundred and fifty-five b) Seven lakh twenty-seven thousand (Textbook, Pg. 5) Solution: ..………………………………………………………………………………………... 12 …………………………………………………………………………………………................. 17) Read the numbers and write them in figures. a) Four lakh twenty-five thousand three hundred b) Nine lakh nine thousand ninety-nine (Textbook, Pg. 5)

IntroducintGeomtricalFgues Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. 18) Make five six-digit numbers, each time using any of the digits 0 to 9 only once. (Textbook, Pg. 5) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. 19) Write the biggest and the smallest five-digit numbers that can be made using the digits 4, 5, 0, 3, 7 only once. (Textbook, Pg. 3) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. Long Answer Questions 20) Using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 write ten each of two-, three-, four- and five-digit numbers. Read the numbers. (Textbook, Pg. 3) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 13 …………………………………………………………………………………………................. …………………………………………………………………………………………................. Powered by Number Work

21) Fill in the empty boxes in the table given below. Devanagari International Numbers written in words numerals numerals a) २,३५८ 2,358 Two thousand, three hundred and fifty-eight b) ३२,७६५ c) 65,859 d) १ ,० ३ ७ Twenty-seven thousand, six hundred and e) ninety-four 22) Read the numbers and write them in words. (Textbook, Pg. 6) a) 80,01,000 b) 90,10,000 c) 91,00,000 d) 99,99,999 Solution: ..……………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 14

IntroducintGeomtricalFgues 2.2: Comparison of Numbers 1) The Expanded Form of a Number and the Place Value of Digits 19 (Textbook, Pg. 6) 2) Bigger and Smaller Numbers (Textbook, Pg. 8) 3) Introducing Crores (Textbook, Pg. 9) Powered by Number Work

Very Short Answer Questions 33) Write the place value of the underlined digit - 78,95,210 (Textbook, Pg. 7) Solution: ……………..………………………………………………………………................. 34) Write the number in its expanded form - 56,43,215 (Textbook, Pg. 7) Solution: ……………..………………………………………………………………................. 35) Write the number in its expanded form - 70,815 (Textbook, Pg. 7) Solution: ……………..………………………………………………………………................. 36) Write the number in its expanded form - 8,35,999 (Textbook, Pg. 7) Solution: ……………..………………………………………………………………................. 37) The expanded form of the number is given. Write the number. 60,000 + 4000 + 600 + 70 + 9 (Textbook, Pg. 7) Solution: ……………..………………………………………………………………................. 38) The expanded form of a number is given. Write the number. 20,00,000 + 3,00,000 + 60,000 + 9,000 + 500 + 10 + 7 (Textbook, Pg. 7) Solution: ……………..………………………………………………………………................. 39) The expanded form of the number is given. Write the number. 9,00,000 + 20,000 + 7000 + 800 + 5 (Textbook, Pg. 7) Solution: ……………..………………………………………………………………................. 20 40) Write the proper symbol, ‘<’ or ‘>’ in the blank. 22,74,705 ____ 12,74,705 (Textbook Pg.8)

41) Which is the smallest eight-digit number? [IntroducintGeomtricalFgues] 42) Write the number name of the biggest seven-digit number. Solution: ……………..………………………………………………………………................. ………….……………..………………………………………………………………................. Short Answer Questions 43) Write the place value of the underlined digit. (Textbook, Pg. 7) a) 14,95,210 [] b) 3,52,749 [] 44) Write the place value of the underlined digit. (Textbook, Pg. 7) a) 50,000 [] b) 89,99,988 [] 45) Write the numbers in their expanded form. (Textbook, Pg. 7) a) 8,88,889 b) 92,32,992 Solution: ……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. ………….……………..………………………………………………………………................. 46) Write the place name and place value of each digit in the given number. 21 82,74,508 (Textbook, Pg. 7) Powered by Number Work

Solution: Place Name Place Value Digit 8 2 7 4 5 0 8 47) The expanded forms of the numbers are given. Write the numbers. a) 80,00,000 + 50,000 + 1000 + 600 + 9 b) 7,00,000 + 80,000 + 4000 + 500 (Textbook, Pg. 7) Solution: ……………..………………………………………………………………................. ………….……………..………………………………………………………………................. 48) Write the proper symbol, ‘<’ or ‘>’in the blank. (Textbook, Pg. 8) a) 35,33,302 _____ 35,32,302 b) 4,80,009 _____ 4,90,008 49) Write the proper symbol, ‘<’ or ‘>’in the blank. (Textbook, Pg. 8) a) 99,999 _____ 9,99,999 b) 35,80,177 ______ 35,88,172 22 50) Write the number name of the number 4,87,96,983. Solution: ……………..………………………………………………………………................. ………….……………..……………………………………………………………….................

IntroducintGeomtricalFguesNumbers Number name Long Answer Questions2,56,09,890 51) Complete the table given below. Four crore nine lakh forty-five thousand nine hundred and seventy-five 34,09,675 Twenty-five lakh ninety-seven thousand nine hundred and eighty-seven 52) Write the place name and place value of each digit in the following numbers. (Textbook, Pg. 7) a) 35,705 b) 7,82,899 Solution: a) Digit Place Name Place Value 23 Powered by Number Work

b) Digit Place Name Place Value 24

IntroducintGeom3tricalFgues Chapter 3: Addition and Subtraction 1) Addition of Six-digit and Seven-digit Numbers (Textbook, Pg. 10) 2) Subtraction of Six-digit and Seven-digit Numbers (Textbook, Pg. 12) 3.1: Addition and Subtraction Very Short Answer Questions 2) 56,627 + 10,448 Solve the following: Solution: 1) 60,722 + 23,819 Solution: 31 Powered by Addition and Subtraction

3) 64,429 + 28,007 4) 33,276 + 28,520 Solution: Solution: 5) 74,521 + 15,678 6) 74,293 − 38,547 Solution: Solution: 7) 37,958 − 23,269 8) 71,405 − 58,826 Solution: Solution: 9) 50,032 − 48,874 10) 99,999 − 12,345 Solution: Solution: 32

Short Answer Questions IntroducintGeomtricalFgues Add the following: (Textbook, Pg. 11) 11) 42,311 + 65,36,624 12) 3,17,529 + 8,04,613 Solution: Solution: 13) 12,42,746 + 4,83,748 14) 24,12,636 + 23,19,058 Solution: Solution: 15) 2,654 + 71,209 + 5,03,789 16) 29 + 726 + 51,36,274 Solution: Solution: 33 Powered by Addition and Subtraction

17) 14,02,649 + 524 + 28,13,749 Solution: 18) Subtract: 8,57,513 − 4,82,256 (Textbook, Pg. 13) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 19) Subtract: 13,17,519 – 10,07,423 (Textbook, Pg. 13) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. 34 …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. ………………………………………………………………………………………….................

20) Subtract: 68,34,501 – 23,57,823 IntroducintGeomtricalFgues(Textbook, Pg. 13) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. Long Answer Questions 21) Solve the following: a) Add: 23,45,678 + 9,87,654 (Textbook, Pg. 11) b) Subtract: 45,43,827 – 12,05,938 (Textbook, Pg. 13) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 35 …………………………………………………………………………………………................. …………………………………………………………………………………………................. Powered by Addition and Subtraction

22) Solve the following: a) 22 + 6,047 + 3,84,527 (Textbook, Pg. 11) b) 70,12,345 – 28,64,547 (Textbook, Pg. 13) Solution: …….…………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 23) Solve the following: a) 2,345 + 65,432 + 76,54,369 (Textbook, Pg. 11) b) 38,01,213 – 37,54,648 (Textbook Pg. 13) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. 36 …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. ………………………………………………………………………………………….................

IntroducintGeomtricalFgues …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. Powered by 37 Addition and Subtraction

IntroducintGeom4tricalFgues Chapter 4: Multiplication and Division 1) Multiplication of Given Number by Three-digit Number (Textbook, Pg. 15) 2) Division of Four-digit Number by Two-digit Number (Textbook, Pg. 18) 4.1: Multiplication and Division Very Short Answer Questions 1) What is the product of 1729 and 100? Solution: ..………………………………………………………………………………………... 2) What is the product of 1000 and 111? 49 Solution: ..………………………………………………………………………………………... Powered by Multiplication and Division

3) If we multiply any number by zero, what will be the answer? Solution: ..………………………………………………………………………………………... 4) Multiply: 42 × 5 Solution: ..………………………………………………………………………………………... 5) Divide 64 by 8. Solution: ..………………………………………………………………………………………... 6) Multiply: 122 × 2 Solution: ..………………………………………………………………………………………... 7) Divide 66 by 6. Solution: ..………………………………………………………………………………………... 8) Solve: 76 × 10 Solution: ..………………………………………………………………………………………... 9) Solve: 999 ÷ 9 Solution: ..………………………………………………………………………………………... 10) Multiply: 300 × 5 Solution: ..………………………………………………………………………………………... 50

Short Answer Questions IntroducintGeomtricalFgues Multiply the following: 11) 327 × 92 (Textbook, Pg. 16) 12) 807 × 126 (Textbook, Pg. 16) Solution: Solution: 13) 567 × 890 (Textbook, Pg. 16) 14) 4,317 × 824 (Textbook, Pg. 16) Solution: Solution: Powered by 51 Multiplication and Division

15) 6,092 × 203 (Textbook, Pg. 16) 16) 1,177 × 99 (Textbook, Pg. 16) Solution: Solution: 17) 456 × 187 (Textbook, Pg. 16) Solution: 18) Divide: 1,284 ÷ 32 (Textbook, Pg. 19) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 52 …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. ………………………………………………………………………………………….................

19) Divide: 5,586 ÷ 87 (Textbook, Pg. 19)IntroducintGeomtricalFgues Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 20) Divide: 1,207 ÷ 27 (Textbook, Pg. 19) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. Long Answer Questions 21) Solve the following: (Textbook, Pg. 16) 53 a) Multiply: 6,543 × 79 b) Divide: 8,543 ÷ 41 (Textbook, Pg. 19) Powered by Multiplication and Division

Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 54 …………………………………………………………………………………………................. …………………………………………………………………………………………................. 22) Solve the following: (Textbook, Pg. 16) a) Multiply: 2,306 × 832 (Textbook, Pg. 19) b) Divide: 2,304 ÷ 43

IntroducintGeomtricalFgues Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 23) Solve the following: a) Multiply: 6,429 × 509 b) Multiply: 4,321 × 678 (Textbook, Pg. 16) Solution: ..………………………………………………………………………………………... 55 …………………………………………………………………………………………................. …………………………………………………………………………………………................. Powered by Multiplication and Division

…………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 24) Solve the following: a) Multiply: 20,304 × 87 (Textbook, Pg. 16) b) Divide: 56,741 ÷ 26 (Textbook, Pg. 19) Solution: ..………………………………………………………………………………………... 56 …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. ………………………………………………………………………………………….................

IntroducintGeomtricalFgues …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. Powered by 57 Multiplication and Division

IntroducintGeom5tricalFgues Chapter 5: Fractions 1) Equivalent Fractions (Textbook, Pg. 21) 2) Like Fractions and Unlike Fractions (Textbook, Pg. 23) 3) Converting Unlike Fractions to Like Fractions (Textbook, Pg. 23) 4) Comparing Like Fractions (Textbook, Pg. 24) 5) Comparing Unlike Fractions (Textbook, Pg. 25) 6) Addition of Like Fractions (Textbook, Pg. 26) 7) Subtraction of Like Fractions (Textbook, Pg. 27) 8) Addition and Subtraction of Unlike Fractions (Textbook, Pg. 28) 75 9) A Fraction of Collection and a Multiple of a Fraction (Textbook, Pg. 30) 10) Mixed Fractions (Textbook, Pg. 31) Powered by ChapteFrraNcatimones

5.1: Fractions Very Short Answer Questions (Textbook, Pg. 27) Add the following: Solution Problem (Textbook, Pg. 28) Solution 1) 1 + 3 5 5 2) 2 + 4 7 7 3) 7 + 2 12 12 4) 2 + 7 9 9 5) 3 + 145 15 Subtract the following: Problem 6) 5  3 88 7) 7 - 2 9 9 76 8) 8  5 11 11 9) 5  1 77

10) From the fractions given below, pair off the equivalent fractions. IntroducintGeomtricalFgues 2 , 5 , 151, 7 , 14 , 15 , 18 , 10 (Textbook, Pg. 23) 3 7 9 18 33 27 14 Solution: …………………………………………………………………………………………. …………………………………………………………………………………………………..… Short Answer Questions 11) Add: a) 1 + 3 (Textbook, Pg. 29) b) 4 + 1 (Textbook, Pg. 27) 8 4 9 9 c) 5 + 3 (Textbook, Pg. 27) 8 8 Solution: …………………………………………………………………………………………. …………………………………………………………………………………………………..… …………………………………………………………………………………………………..… …………………………………………………………………………………………………..… …………………………………………………………………………………………………..… …………………………………………………………………………………………………..… …………………………………………………………………………………………………..… 12) Add: a) 221+ 3 (Textbook, Pg. 29) b) 2 + 1 + 3 (Textbook, Pg. 27) 7 7 7 7 c) 2 +140 +130 (Textbook, Pg. 27) 10 Solution: ………………………………………………………………………………………..... …………………………………………………………………………………………………..… 77 …………………………………………………………………………………………………….. ………………………………………………………………………………………………..…… Powered by ChapteFrraNcatimones

…………………………………………………………………………………………………….. ………………………………………………………………………………………………..…… …………………………………………………………………………………………………….. ………………………………………………………………………………………………..…… 13) Subtract: a) 3 1 (Textbook, Pg. 29) b) 9 4 (Textbook, Pg. 28) 10 20 13 13 c) 73 (Textbook, Pg. 28) 10 10 Solution: ……………………………………………………………………………………...….. ………………………………………………………………………………………………..…… ………………………………………………………………………………………………..…… …………………………………………………………………………………………………..… ………………………………………………………………………………………………..…… ………………………………………………………………………………………………..…… ………………………………………………………………………………………………..…… …………………………………………………………………………………………………..… ………………………………………………………………………………………………..…… 14) Subtract: a) 31 (Textbook, Pg. 29) b) 92 (Textbook, Pg. 28) 42 12 12 c) 10  3 (Textbook, Pg. 28) 15 15 Solution: ……………………………………………………………………………………….. 78 ……………………………………………………………………………………..……………… …………………………………………………………………………………………………….. ……………………………………………………………………………………………………..

IntroducintGeomtricalFgues …………………………………………………………………………………………………….. ………………………………………………………………………………………………..…… ………………………………………………………………………………………………..…… …………………………………………………………………………………………………..… Convert the given fractions into like fractions. 15) a) 3 , 5 b) 3 , 3 (Textbook, Pg. 24) 4 8 5 7 Solution: …………………………………………………………………………………………. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. 16) a) 4 ,130 b) 2 , 1 (Textbook, Pg. 24) 5 9 6 Solution: …………………………………………………………………………………………. 79 …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. Powered by ChapteFrraNcatimones

…………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. 17) a) 1 , 2 b) 5 , 4 (Textbook, Pg. 24) 4 3 6 5 Solution: …………………………………………………………………………………………. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. 18) a) 3 , 1 b) 1 , 4 (Textbook, Pg. 24) 8 6 6 9 Solution: …………………………………………………………………………………………. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. 80 …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. ……………………………………………………………………………………………………..

IntroducintGeomtricalFgues …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. Long Answer Questions 19) Solve the following: a) Find two equivalent fractions for each of the following fractions. 7 , 4 ,131 (Textbook, Pg. 23) 9 5 (Textbook, Pg. 29) (Textbook, Pg. 29) b) Add: i) 2 + 1 ii) 2 + 1 iii) 3 + 3 5 3 7 2 9 5 c) Subtract: i) 6  2 ii) 4  3 iii) 2  1 14 7 6 5 7 4 Solution: …………………………………………………………………………………………. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. 81 …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. Powered by ChapteFrraNcatimones

…………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. 82 …………………………………………………………………………………………………….. 20) Solve the following: a) Find an equivalent fraction with denominator 5, for each of the following fractions: 6 ,1205 ,1320 ,160 , 21 (Textbook, Pg. 23) 15 35

b) Find an equivalent fraction with denominator 18, for each of the followingIntroducintGeomtricalFgues fractions: 1 , 2 , 4 , 2 , 7 , 5 (Textbook, Pg. 23) 2 3 6 9 9 3 Solution: ……...………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. 83 …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. Powered by ChapteFrraNcatimones

…………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. 84

Chapter TABLE OF Page No. CONTENTS 1 Part 2 11 8. Multiples and Factors 9. Decimal Fractions

8 Chapter 8: Multiples and Factors 1) Factors (Textbook, Pg. 46) 2) Multiples (Textbook, Pg. 46) 3) Tests for Divisibility (Textbook, Pg. 47) 4) Prime and Composite Numbers (Textbook, Pg. 48) 5) Co-prime Numbers (Textbook, Pg. 49) 8.1: Multiples and Factors Solution 1 Very Short Answer Questions Write the factors of the following numbers: Problem 1) 8 (Textbook, Pg. 46) Powered by Multiples and Factors

Problem Solution 2) 14 (Textbook, Pg. 46) 3) 10 (Textbook, Pg. 46) 4) 7 (Textbook, Pg. 46) 5) 22 (Textbook, Pg. 46) 6) 5 (Textbook, Pg. 46) 7) 25 (Textbook, Pg. 46) 8) 32 (Textbook, Pg. 46) 9) 33 (Textbook, Pg. 46) 10) 40 Short Answer Questions 11) Write the first four multiples of 3. Solution: …………………………………………………………………………………………. 12) Write all the prime numbers between 1 and 20. (Textbook, Pg. 49) Solution: …………………………………………………………………………………………. …………………………………………………………………………………………………….. 13) Write all the composite numbers between 21 and 50. (Textbook, Pg. 49) Solution: …………………………………………………………………………………………. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. 2 14) Write five three-digit numbers that are multiples of 2. (Textbook, Pg. 48) Solution: …………………………………………………………………………………………. ……………………………………………………………………………………………………..

…………………………………………………………………………………………………….. …………………………………………………………………………………………………….. 15) Write five three-digit numbers that are multiples of 5. (Textbook, Pg. 48) Solution: …………………………………………………………………………………………. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. 16) Write five three-digit numbers that are multiples of 10. (Textbook, Pg. 48) Solution: …………………………………………………………………………………………. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. 17) Write 5 numbers that are multiples of 2 as well as 3. (Textbook, Pg. 48) Solution: …………………………………………………………………………………………. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. 18) Which of the prime numbers are even numbers? (Textbook, Pg. 49) Solution: …………………………………………………………………………………………. …………………………………………………………………………………………………….. 3 …………………………………………………………………………………………………….. Powered by Multiples and Factors

19) Circle the prime numbers in the list given below. 22, 37, 43, 48, 53, 60, 91, 57, 59, 77, 79, 97, 100 Long Answer Questions 20) Determine whether the pairs of numbers given below are co-prime numbers. a) 22, 24 b) 14, 21 c) 10, 33 d) 11, 30 (Textbook, Pg. 50) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 4 …………………………………………………………………………………………................. 21) Determine whether the pair of numbers given below are co-prime numbers. a) 5, 7 b) 15, 16 c) 50, 52 d) 17, 18 (Textbook, Pg. 50)