202110818-TRAVELLER_PREMIUM-STUDENT-WORKBOOK-MATHEMATICS-G05-Latest

MATHEMATICS WORKBOOK – Grade 5 Name: _________________________ Section: ________Roll No: _______ School: ________________________

Contents Part 1 4 Number Operations 4.2 Multiply Large Numbers and Divide Numbers by 2-digit Numbers��������������������������������������������������������������������������� 48 4.3 BODMAS��������������������������������������������������������������������������������������� 54 5 Playing with Numbers 5.2 H.C.F. and L.C.M������������������������������������������������������������������������� 68

4.2 Multiply Large Numbers and Divide Numbers by 2-digit Numbers I Recall Multiple Choice Questions 1) For any three numbers ‘a’, ‘b’ and ‘c’, a × (b × c) = (a × b) × c is called the ______________. [] [] (A) subtraction property (B) associative property (C) identity property (D) both (B) and (C) 2) For any number ‘a’, a × 1 = 1 × a = a. This is also called the ________. (A) subtraction property (B) additive identity (C) multiplicative identity (D) both (B) and (C) 48

3) The multiplication fact for the division fact 4870 ÷ 5 = 974 is _____. [] (A) 5 × 974 = 4870 (B) 4870 ÷ 974 = 5 (C) 974 × 5 = 4870 (D) both (A) and (C) I Remember and Understand Multiple Choice Questions 4) The digit in the ones place of the product between 2222 and 222 is ______.[ ] ] (A) 1 (B) 8 (C) 4 (D) 2 ] 5) The digit in the ones place of the product between 11111 and 11 is ______.[ (A) 2 (B) 1 (C) 3 (D) 4 6) The quotient in the division of 3303 by 3 is ______________. [ (A) 1011 (B) 1110 (C) 111 (D) 1101 Fill in the Blanks 7) T he product of the largest 4-digit number and the largest 2-digit number has ____________ digits. 8) The remainder in the division of 1505 by 5 is _____. 9) The ones digit in the quotient of the division of 4250 by 5 is _______. Very Short Answer Questions 10) Find the product of 1000 and 100. Solution: 11) Find the product of 30000 and 200. Solution: 12) W hat is the equation to check the correctness of a division? Solution: Number Operations 49

Short Answer Questions 13) Multiply: 2568 × 15 Solution: 14) What is the quotient and the remainder of 75148 ÷ 14? Solution: Long Answer Questions b) 1234 × 106 15) Find the following products: a) 6609 × 218 Solution: 50

16) Divide 52725 by 22. Check the correctness of the division. Solution: Number Operations 51

4.3 BODMAS [] [] I Recall [] Multiple Choice Questions [] 1) The sum of 20 and 32 is ___________. [] (A) 52 (B) 25 (C) 33 (D) 62 [] 2) The difference between 49 and 30 is ___________. (A) 79 (B) 29 (C) 19 (D) 11 3) The quotient in the division of 99 by 9 is ________. (A) 0 (B) 11 (C) 9 (D) 99 I Remember and Understand Multiple Choice Questions 4) The value of 4 × (2 + 6) is _________. (A) 16 (B) 14 (C) 32 (D) 60 5) The value of 16 – (3 + 9) is _________. (A) 4 (B) 22 (C) 17 (D) 10 6) The value of 4 × 4 ÷ 2 is _________. (A) 16 (B) 4 (C) 8 (D) 1 Fill in the Blanks 7) 15 + 6 – 3 = _______ 8) 2 × 2 + 1 = ______ 9) 3 ÷ 3 – 1 = _______ Very Short Answer Questions 10) What does ‘M’ stand for in BODMAS? Solution: 54

11) Which operation needs to be carried out first according to the BODMAS rule - Subtraction or Division? Solution: 12) What is the full form of ‘A’ in BODMAS? Solution: Short Answer Questions 13) Find the value of: a) 3 × 8 ÷ 4 b) 29 – 9 × 3 Solution: 14) What is the value of: a) 19 ÷ 1 + 19 b) 36 + 32 – 5 Solution: Number Operations 55

Long Answer Questions b) 9 + (9 – 9) 15) Find the values of: a) 13 + 13 × 2 d) 2 + 7 ÷ 1 c) 6 – 16 ÷ 4 Solution: 16) F  ind the values of: a) 22 ÷ 11 + 8 b) 14 × (16 + 4) c) 9 + 9 ÷ 9 d) 15 – (9 + 3) Solution: 56

Number Operations 57

5.2 H.C.F. and L.C.M. I Recall Multiple Choice Questions 1) 8990 is divisible by ______. [] (A) 7 (B) 5 (C) 3 (D) 9 2) For a number to be divisible by 2, the digit in the ones place must be [] _____________. (A) 0, 2, 4, 6 or 8 (B) 0, 3, 4, 7 or 9 (C) 2, 3, 4, 5 or 9 (D) 1, 2, 3, 7 or 9 3) For a number to be divisible by 6, the number must be divisible by both __________.  [ ] (A) 8 and 3 (B) 8 and 2 (C) 2 and 5 (D) 2 and 3 I Remember and Understand Multiple Choice Questions 4) The complete list of all the factors of 36 is ________________. [] [ ] (A) 1, 2, 3, 4, 12, 18, 36 (B) 1, 2, 3, 4, 6, 9, 12, 18, 36 [] (C) 1, 2, 3, 4, 5, 6, 36 (D) 1, 2, 3, 4, 5, 9, 12, 18, 36 5) The list of the first five multiples of 12 is ________________. (A) 12, 24, 32, 40, 48 (B) 12, 24, 36, 48, 50 (C) 5, 10, 15, 20, 25 (D) 12, 24, 36, 48, 60 6) The number that is not a factor of 80 is ______________. (A) 14 (B) 2 (C) 10 (D) 16 Fill in the Blanks 7) The largest 2-digit composite number is ____. 8) Multiples of even numbers are _______ numbers. 9) The smallest 2-digit prime number is ____. 68

Very Short Answer Questions 10) How many prime numbers are there between 20 and 50? Solution: 11) Write all the factors of 48. Solution: 12) Write the prime factorisation of 6. Solution: Short Answer Questions 13) Find the H.C.F. of 12 and 18 using the common division method. Solution: 14) Find the L.C.M. of 10 and 15 using the listing method. Solution: Long Answer Questions 15) Find the H.C.F. and L.C.M. of the following numbers using the listing method. a) 36, 42 b) 75, 50 Solution: Playing with Numbers 69

16) W rite the factors and multiples of the given numbers. Then, find their H.C.F. and L.C.M. a) 36, 90 b) 12, 24 Solution: 70

Contents Part 2 7 Integers 7.1 Introduction to Negative Numbers ��������������������������������������������� 1 9 Fraction Operations 9.1 Add and Subtract Fractions ������������������������������������������������������� 20 9.2 Multiply and Divide Fractions����������������������������������������������������� 26 12 Decimal Operations 12.1 Add and Subtract Decimals���������������������������������������������������� 50 12.2 Multiply Decimals��������������������������������������������������������������������� 57

Integers7Chapter 7.1 Introduction to Negative Numbers I Recall Multiple Choice Questions 1) The numbers on a horizontal number line increase as we move from ___________.  [] (A) right to left (B) left to right (C) top to bottom (D) bottom to top 2) Which number completes the given sequence? 133, 132, 131, ______, 129, 128 [] (A) 130 (B) 127 (C) 126 (D) 125 3) Which of the following sequences shows ascending order of numbers? [ ] (A) 567, 566, 565, 564 (B) 899, 898, 897, 896 (C) 764, 763, 765, 766 (D) 99, 100, 101, 102 I Remember and Understand [] [] Multiple Choice Questions 4) The set of integers has __________. (A) positive numbers (B) negative numbers (C) zero (D) all of the above 5) Negative numbers are _________ the positive numbers. (A) greater than (B) less than (C) equal to (D) more in number than 1

6) The predecessor of 0 _______________. [] (A) is the largest negative number (B) is 1 (C) is the smallest negative number (D) does not exist Fill in the Blanks 7) The smallest positive integer is _____________________. 8) All negative integers are ____________________________________ than 0. 9) Integers are denoted by the letter _________________________. Very Short Answer Questions 10) What is the predecessor of –649? Solution: 11) What is the successor of –7100? Solution: 12) Which integer lies between –1 and 1? Solution: Short Answer Questions 13) Write the predecessors of the following integers. a) 84 b) –7925 Solution: 14) Write the successors of the following integers. a) 501 b) –3609 Solution: Long Answer Questions 15) Represent these integers on a number line. a) –7 b) –9 Solution: a) 2

b) 16) E  xpress the number in each of the following as an integer. a) A tower is 1268 m above the sea level. b) The temperature went down by 6°C from 0°C. c) A miner dug a 65 m underground well. d) An amount of ` 116 is withdrawn from a bank account. Solution: Integers 3

9Chapter Fraction Operations 9.1 Add and Subtract Fractions I Recall Multiple Choice Questions 1) A fraction whose numerator is greater than the denominator is called _________ fraction. [] (A) a mixed (B) a proper (C) an improper (D) an equivalent 2) A fraction whose denominator is greater than the numerator is called _________ fraction. [] (A) a mixed (B) a proper (C) an improper (D) an equivalent 3) The combination of a whole number and a proper fraction is called ________ fraction. [ ] (A) a mixed (B) a proper (C) an improper (D) an equivalent I Remember and Understand Multiple Choice Questions 4) 1 + 1 = ______ __ [] 10 20 [] (A) 2 (B) 3 (C) 2 (D) 3 30 10 20 20 5) 3 + 2 = ________  84 (A) 7 (B) 7 (C) 5 (D) 7 4 8 12 12 20

6) 15 + 15 = ____________ [] 10 5 (A) 30 (B) 15 (C) 45 (D) 45 15 30 15 10 Fill in the Blanks 7) U nlike fractions can be added or subtracted by first writing their equivalent like fractions and then adding or subtracting their ___________________________. 8) 1 + 2 = ____________ 6 3 9) 1 + 1 = ___________ 5 15 Very Short Answer Questions 10) 47 – 15 30 15 Solution: 11) 3 – 8 4 11 Solution: 12) 6– 7 8 Solution: Short Answer Questions b) 13 – 8 13) Solve: a) 13 + 1 79 45 Solution: Fraction Operations 21

14) Solve: a) 55 – 14 b) 17 – 17 12 4 89 Solution: Long Answer Questions 15) Solve: a) 2 6 +23 b) 16 8 – 51 7 4 9 8 Solution: 16) Solve: a) 12 – 4 b) 12 5 + 14 3 7 7 7 5 22

Solution: Fraction Operations 23

9.2 Multiply and Divide Fractions I Recall Multiple Choice Questions 1) A  fraction is said to be in its lowest terms if its numerator and denominator do not have any common factor other than ______. [] (A) 1 (B) 2 (C) 3 (D) 4 2) A  fraction can be reduced to its lowest terms using H.C.F. to __________________ numerator and denominator. [] (A) multiply (B) add (C) divide (D) subtract 26

3) 7 can be reduced to its lowest terms as _________. [] 49 (A) 49 1 (C) 7 (D) 1 7 (B) 49 1 7 I Remember and Understand Multiple Choice Questions 4) The reciprocal of a mixed fraction is a/an __________ fraction. [] (A) mixed (B) proper (C) improper (D) equivalent 5) The multiplicative inverse of 7 8 [] 9 [] 71 (B) 9 19 (D) 711 (A) 9 71 (C) 71 9 6) 1 × 25 = ______________ 5 3 (A) 5 (B) 3 (C) 5 (D) 15 3 5 15 5 Fill in the Blanks 7) The number that does not have a multiplicative inverse is _______. 8) 1 × 4 = _______ 4 9) A whole number is a fraction with denominator _______. Very Short Answer Questions 10) Find the product: 2 × 4 35 Solution: 11) Find the product: 3 × 5 5 9 Solution: Fraction Operations 27

12) Find 1 of 30. 3 Solution: Short Answer Questions 45 4 13) Solve: 5 × 8 Solution: 14) Solve: 6 × 9 54 2 Solution: Long Answer Questions 15) Solve: a) 55 × 4 b) 38 × 4 22 35 24 19 Solution: 28

16) Find the reciprocals of these fractions. a) 1 b) 14 c) 22 1 52 9 4 d) 7 Solution: Fraction Operations 29

12Chapter Decimal Operations 12.1 Add and Subtract Decimals [] I Recall [] [] Multiple Choice Questions 1) Which of the following pairs are like decimals? (A) 72.03, 53.70 (B) 1.24, 9.8 (C) 13.9, 32.82 (D) 132.7, 289.656 2) 75.32 and 96.414 are _____________ decimals. (A) equivalent (B) like (C) unlike (D) equal 3) An equivalent decimal of 46.600 is ___________.  (A) 46 (B) 46.06 (C) 46.66 (D) 46.6000 I Remember and Understand Multiple Choice Questions [] 4) 200.011 + 200.022 = ____________  [] (A) 200.022 (B) 200.033 (C) 200.300 (D) 400.033 [] 5) 111.111 – 110.111 = _____________  (A) 1.001 (B) 1.111 (C) 1 (D) 0.111 6) 999.000 – 888.000 = ___________  (A) 0.111 (B) 001.000 (C) 111.111 (D) 111.000 50

Fill in the Blanks 7) Before adding or subtracting decimals, convert the unlike decimals to _________ decimals. 8) 56.60 – 46.60 = _______________ 9) 101.330 + 101.331 = _________________ Very Short Answer Questions 10) Solve: 12.02 + 10.01 Solution: 11) Solve: 12.77 – 6.00 Solution: 12) Solve: 1.22 – 1.00 Solution: Short Answer Questions 13) Solve the following: a) 45.78 + 34.65 b) 90.80 – 70.70 Solution: 14) Solve the following: b) 34.35 + 20.30 a) 56.98 – 45.65 Solution: Decimal Operations 51

Long Answer Questions b) 345.9 – 56.89 15) Solve: d) 678.4 – 567.3 a) 557.65 + 23.45 c) 101.987 + 101.010 Solution: 52

16) Solve: b) 50.055 – 5.500 a) 1.001 + 0.101 d) 98.4 – 65.72 c) 24.78 + 33.56 Solution: Decimal Operations 53

12.2 Multiply Decimals (D) 25200 [] (D) 8752 [] I Recall (D) 4860 [] Multiple Choice Questions 1) The product 1500 × 15 is _____________. (A) 15001 (B) 22500 (C) 15100 2) The product 604 × 13 is _____________. (A) 785 (B) 7825 (C) 7852 3) The product 576 × 14 is ____________. (A) 8064 (B) 8046 (C) 8460 I Remember and Understand Multiple Choice Questions 4) The product 57.6 × 4 is ____________. [] (A) 2304 (B) 23.04 (C) 2.304 (D) 230.4 5) The product 76.9 × 0.4 is ____________. [] (A) 307.6 (B) 30.76 (C) 3.076 (D) 30.67 6) The product 87.908 × 1000 is ____________. [] (A) 87908 (B) 8790.8 (C) 879.08 (D) 8.7908 Fill in the Blanks 7) The decimal point is shifted to the right by one digit if the multiplier is __________. 8) 189.15 × 100 = __________ 9) The decimal point is shifted to the right by ______________ digits if the multiplier is 1000. Very Short Answer Questions 10) Solve: 2.176 × 10 Solution: Decimal Operations 57

11) Solve: 1.387 × 100 Solution: 12) Solve: 4.894 × 1000 Solution: Short Answer Questions 13) Solve: 9.87 × 8.6 Solution: 14) Solve: 23.82 × 8.62 Solution: Long Answer Questions b) 364.16 × 1.9 15) Solve the following: a) 198.50 × 24 58

Solution: 16) Solve the following: b) 1089.76 × 0.89 a) 984.32 × 56 Solution: Decimal Operations 59