MY Workbook PAL Ss’ ARE HERE! Maths 4A 3rd Edition Dr Fong Ho Kheong * Gan Kee Soon + Chelvi Ramakrishnan Marshall Cavendish nc EducationPreface My Pals Are Here! Maths (3rd Edition) is a comprehensive, task-based and learner-centred programme designed to provide pupils with a solid foundation in mathematics and opportunities to become efficient problem solvers. In this edition of the Workbook, pupils are given opportunities to master concepts learnt, Questions marked with an asterisk (*) are higher-order thinking questions meant to stimulate pupils’ thinking @ sneer 009 Practice provides a quick : reinforcement through questions that require pupils to recall facts and concepts. - Chapter Review reinforces { learning through questions that , facilitate mastery of concepts. i Share your thoughts with your teachers, create your own ~ mathematics questions and become aware of your own mathernatical thinking in Maths Journal! Develop pupils’ creative and z critical thinking skills with higher-order and I e non-routine questions in ! Put on Your Thinking Cap! Review after every few Saw perc chapters provides a ——fsiae comprehensive consolidation of concepts. >—— Revision provides a summative assessment of pupils’ understanding. Questions are j purposefully crafted to determine pupils’ learning progress. ae Enjoy learning mathematics with My Pals Are Here! Maths (3rd Edition)!CONTENTS @ Numbers to 100 000 Practice 1 Numbers to 100 000 Practice 2. Comparing and Ordering Numbers Practice 3. Number Patterns Practice 4 Rounding and Estimation Chapter 1 Review Maths Journal Put on Your Thinking Cap! @ Factors and Multiples Practice 1 Factors Practice 2 Multiples Chapter 2 Review Maths Journal Put on Your Thinking Cap! Review 1 © Multiplication and Division of Whole Numbers Practice 1 Multiplying by a 1-Digit Number Practice 2. Multiplying by a 2-Digit Number Practice 3 Dividing by a 1-Digit Number Chapter 3 Review Maths Journal Put on Your Thinking Cap! @ Whole Numbers: Word Problems Practice 1 Solving Word Problems. Chapter 4 Review Maths Journal Put on Your Thinking Cap! Review 2 VW 22 23 25 29 31 32 33 35 39 45 49 53, 57 58 59 67 ae 73 ie© Angles Practice 1 Naming Angles al Practice 2. Drawing Angles to 180° 85 Practice 3. Turns and &-point Compass 89 Chapter 5 Review 93 Maths Journal 97 Put on Your Thinking Cap! 98 © Squares and Rectangles Practice 1 Properties of Squares and Rectangles 99 Practice 2. Drawing Squares and Rectangles 103, Chapter 6 Review 105 ‘Maths Journal i Put on Your Thinking Cap! 10 ' @ Symmetry Practice 1 Symmetric Figures and Lines of Symmetry m Practice 2. Making Symmetric Figures and Patterns 115 Chapter 7 Review 17 | ‘Maths Journal 120 | Put on Your Thinking Cap! aA] | Review 3 123 Revision 1 129Name: Class: Date: wa Numbers to 100 000 Practice 1 Numbers to 100 000 a) Write in numerals. (a) _ fifty-one thousand, three hundred and eighty-one (b) seventy thousand, nine hundred and thirty (q)_ thirty thousand and twelve (2) Write in words. (0) (65.040) {b) 12021 {c) 70009 (d) 50800 (3) Write the value of each digit. 71486(4) What do the digits in 65 239 stand for? (a) The digit 6 stands for b] The digit 5 stands for (c)_ The digit 2 stands for (d) The digit 3 stands for fe) The digit 9 stands for (5) Fill in the blanks. 2 (a) 72 439 =7 ten thousands + _________ thousands + 4 hundreds. +3 tens + 9 ones {b) 9 ten thousands + 9 thousands + ________ hundreds + 8 tens + 8 ones = 99 088 () 30427 = 30000 + ________+20+7 (d) 10000 + 7000 + ____+3=17503 (e) 51632 = 51000 + () ___ + 257 = 86 257 v) . (6) Use the digits 2, 9, 6, 4 and 3 to form the greatest 5-digit odd number. e Chopter1 Numbers to 100 000: Name: Class: Date: Practice 2 Comparing and Ordering Numbers () Circle the greater number. (a) 2078 1872 {b) 9283 9289 (2) Circle the smaller number. (a) 52980 49 802 (b) 73094 70 943 (3) Arrange the numbers in order. Begin with the smallest. (a) 1635, 6135, 1563 (b) 4980, 4809, 4890 (4) Circle the greater number. (a) 63 809 36 908 (b) 45 638 8594 (5) Circle the smaller number. (a) 86 415 86 591 (b) 60960 69 999 (6) Look at the four numbers. 25 807 7483 52708 34 527 (a) Which is the greatest numoer? —_____ {b) Which is the smallest number? —___ (7) Which is smaller? 42 367 or 42 000 Lesson 2 Comparing end rdrnghambers| OED(8) (9) (10) ma) (12) (13) Arrange the numbers in increasing order. (a) 97136, 79 631, 96 137 (b) 52081, 63 456, 51125 Arrange the numbers in decreasing order. (a) 80000, 9469, 81074 a (b) 76 332, 74 236, 81152 Write two numbers smaller than 86 420 using all the digits in the number. Write two numbers greater than 32 507 using all the digits in the number. In which number is the value of the digit 4 greater? Circle the number. 24 590 48 607 Tn which number is the value of the digit 7 smaller? Circle the number. 70 153 97 283 @ ‘Chapter 1 Numbers to 100 000Name: Class: Date: Practice 3 Number Patterns (1) Fill in the blanks. (a) 1243 is ________ more than 1240. (b) 6908 is _______less than 6978. (cq) 5721 is _______ more than 5121 (d) _______is 40 more than 2034. < > (e) —_____is 5 less than 5016. (f) ______ is 200 less than 9320. (2) (a) What is 1000 more than 4653? {b) What is 30 less than 5164? (c)_ 100 more than 1837 is i (d) 400 less than 9802 is ______.. {e) 60 more than 2596 is bs {f) 4000 less than 8005 is (3) Complete the number patterns. (a) 4500, 5000, 5500, 6000, ______, 2 (b) 7400, 7350, 7300, 7250, () 2947, 2907, 2867, 2827, ______, fees noe rene =>(4) (a) What number is 10 more than 56 098? (b) What number is 100 more than 56 098? {c]_ What number is 1000 more than 56 098? (5) (a) What number is 10 less than 38 076? (b) What number is 100 less than 38 076? (c]_ What number is 1000 less than 38 076? (6) Fill in the blanks. (a) 100 more than 56 821 is (b) ______is 10 less than 18 703. (c) 48100is____ less than 48 200. (d) 80 895is more than 79 895. (7) Complete the number patterns. (a) 12520, 12 530, 12540, 12550, ______, _______, 12580 i lb) 35642, 35742, 35842, 35942, —_, _______ (c) 46 860, 45 860, 44 860, 43 860, _____, 41 860, id) 93538)03'528, 93/518, 0clo08, ees (eee 10/849) 104921849), |oj8ao) ee aD Oae () —_, __, 84 876, 84776, 84 676, 84576 GE creeiers survest0 100 00RRS Name: Class: Date: Practice 4 Rounding and Estimation a) Fill in the boxes and blanks. (a) {b) (d Round 34 to the nearest ten. eH 34 is between °° __and uu 34 is nearer to ______ than to : 34 is _____ when rounded to the nearest ten. 34% Round 47 to the nearest ten. ee (eset) om) A7ais between sess ees NG see 47 is nearer to ____ than to : 47 is ______ when rounded to the nearest ten. A= Round 285 to the nearest ten. HH EE 285 is exactly halfway between ___ and 285 is ____ when rounded to the nearest ten. 285 =(d) (2) Fillin the boxes and blanks. (a) (b) Round 721 to the nearest ten. (amas) Co) ' 721is between ___and i 721 is nearer to ________ than to 721 is _________ when rounded to the nearest ten. 721% Round 870 to the nearest hundred. 70 eee HH 800 870is between 800 __ ang __%0 870 is nearer to ________ than to 870 is ______ when rounded to the nearest hundred. 870 = Round 950 to the nearest hundred. eee 950 is exactly halfway between _____ and 950 is ________ when rounded to the nearest hundred. 950 = PH creciec pur 1010 000 i(d (a) (e) Round 1230 to the nearest hundred. eee EE = (Gentes) 1230 is between and 1230 is nearer to_____ than to 1230 is ________ when rounded to the nearest hundred 1230 = Round 67 450 to the nearest hundred. 4 HE 67 450 is exactly halfway between ___ and. 67 450 is ____ when rounded to the nearest hundred. 67 450 = Round 79 960 to the nearest hundred. HH cm) CO) 79 960 is between and 79 960 is nearer to ________ than to 79 960 is ______ when rounded to the nearest hundred. 79 960 = Lesson 4 Rounding and Estimation >(3) Fillin the boxes and blanks. (a) Round 2300 to the nearest thousand. 2300 2300 is between 2000 __ ng _3000_ 2300 is nearer to______ than to 2300 is ________ when rounded to the nearest thousand. & 2300 = (b) Round 8500 to the nearest thousand. qe HE | 8500 is exactly halfway between __ and | 8500 is _________ when rounded to the nearest thousand. | 8500 = & {c]_ Round 6850 to the nearest thousand. 4 HH 6850 is between ___ and : : i 6850 is nearer to than to 7 | 6850 is _____ when rounded to the nearest thousand. gy 6850 = ' <9 Chapter 1 Numbers to 100 000(d) (e) (f) Round 85 200 to the nearest thousand. eee HEH Co) 85 200 is between ____ and 85 200 is nearer to _____ than to 85 200 is ________ when rounded to the nearest thousand. 85 200 = Round 63 500 to the nearest thousand. eRe Et om) CO) 63 500 is exactly halfway between ___ and 63 500 is _____ when rounded to the nearest thousand. 63 500 = Round 79 750 to the nearest thousand. 4 HEH 79 750 is between ____ and 79 750 is nearer to —— than to 79 750 is _________ when rounded to the nearest thousand. 79 750 = Lesion 4 Rounding andesinaton EBD(4) Round the price of each item to the nearest ten dollars. = Price | _nourest ton dors Example Book $17 $17 = $20 (a)_ Shirt $35 (b) Carpet $213 (c)_ Refrigerator $696 (d)_ Mattress $1015 (e)_ Sofa set $2998 (5) Round each number to the nearest hundred. ae 303 ap << | 84 137 For each of your answers above, look at the letter and the digit in the hundreds place. Then, match the letters to the digits below. You will find the name of an island in Singapore. The island is a 8 5 0 8 a a 1 3 4 <9 Chapter? Numbers to 100 000(6) Round each number to the nearest thousand. Then, fill in the blanks to find the answer to the riddle. Riddle: The word ‘fish’ forms part of my name. However, I am actually not a fish. What am I? (ED 0S Answer: 2000 4000 6000 26000 13000 Lesson 4 Rounding ond Estimation >(7) Complete the table. fae Rounded to the nearest hundred thousand 4168 ___ ic 32875 Se we eee 75 463 —_ y+ What is the name of the first skyscraper in Singapore? & Match the letters to the answers to find out. — s ———— —_ —___ _ ____ BUILDING *(8) Singapore is connected to about 200 cities in the world by aeroplane. Find the greatest and smallest possible values of the number of cities before it was rounded to the nearest hundred. Use the number line to help you oe A RRR ed 100 200 300 The greatest possible number of cities is The smallest possible number of cities is we Chapter Numbers to100 000Name: Class: Date: Chapter 1 Review fl) What does the digit 7 in 28 763 stand for? (2) Fill in the blanks with the missing words and digits. — 2 thousand, five Punstes ondiwene 2512 | (a) sixty-one thousand and —___ —— 1001 (b) twenty-four _______, three hundred and ten 243___0 (c) forty-five thousand, ________ hundred and six 4____ 206 (d) thirty-six thousand, one hundredand________—-36__ 89 (3) Fill in the blanks. 42153 (a) The value of the digit 1 is (b) The digit ______is in the tens place. () The value of the digit_____is 3 (d) The digit_______is inthe ten thousands place. le) (4) The value of the digit 2 is thousands + 5 hundreds + 2 tens + 7 ones = 80 527 cere Ninian eo NED(5) (6) (7) (8) (9) (10) Which is greater? (a) 36.950 or 35 970 (b) 70368 Arrange the numbers in increasing order. 52 370, 52 307, 52037 or 76 830 Arrange the numbers in decreasing order. 41076, 41760, 41706 (a) 10 less than 67 942 is ____. (b) _______is 100 more than 20 986. {) 53704 is _______ less than 53 804. (d) 65 318is ___— more than 64 318. (a) 30000 more than 123 is (b) 800 less than 70 850 is _______. Complete the number patterns, (a) 74201, 74 301, 74 401, 74501, ______, (b) 43 650, 42 650, 41650, 40 650, () —____, 15 910, ___, 15 890, 15 880, 15 870, 15 860 I cropi0rs wurtes10 09000) (12) (13) (14) (15) (16) (a) Round 978 to the nearest ten. _____ (b) Round 58 136 to the nearest hundred. —__. {c]_ Round 89 526 to the nearest thousand. In which number is the value cf the digit 2 the greatest? Circle the number. 82 396 93 826 28 369 Write a 5-digit number which as the digit 5 in the ten thousands place Write two odd numbers greater than 54 069 using all the digits in the number. Use the digits 1, 8, 5, 3 and 4 to form the smallest 5-digit even number. What is the greatest 5-digit number that is 72 500 when rounded to the nearest hundred? 72.400 72500 72,600 chapter numbers to 100000 EBDName: Class: Date: Kim wrote these statements about the three numbers shown on the right. (a) 3869 is smaller than 85 945. (b) 85 699 is greater than 85 945. Which statement is wrong? Why? 228 Chapter 1 Numbers to 100 000Name: Class: Date: a) Munah found a 5-digit secret code to a locker. Use the clues to help Munah solve the secret code. * The digit in the thousands place is 8 © The digit in the tens place is 2 less than the digit in the thousands place. * The digit in the thousands place is twice the digit in the ones place. © The digit in the hundreds ploce is the same as the digit in the ones place. © The digit in the ten thousands place is 3 more than the digit in the ‘ones place, What is the secret code? Chapter 1 Numbers to 100 000 >(2) Match the numbers with the correct cards. There are five number cards A, B, C, D and € in a stack. Each card has a number on the reverse side. The number on card A is the greatest number. * Card B has the smallest number. ¢ The number on card D is greater than the number on card C but smaller than the number on card E. 41584 56 783 61376 59 371 48 745 I creptacr nsvveet0 1000Name: Class: Date: @ Factors and Multiples Practice 1 Factors a) Find all the missing factors. c (a) 45=1x > 45=3x _ 45=5%x Give factors Of 45 ore\l 375, sees eee ee and (ob) 70=1x —____ 70=2x cle 70=5%x 70 =7 x The factors of 70 are 1, 2, 5, 7, —_____, and teson Facos WEB(2) Find all the factors of each number. (a) 40 (b) 63 The factors of 40 are The factors of 63 are (3) Fillin the blanks with Yes or No. [ (a) Is5 a factor of 65? ____ (b) Is 7a factor of 467 __ {c)_ Is 9.a factor of 51? __ (d) Is 6 a factor of 78? __ (b) 24 and 36 Factors of 24: Factors of 36: Common factors: (7) Fillin the blanks with Yes or No. (a) Is 2.acommon factor (b) Is 4 acommon factor OA Zand 20 ee of 18 and 16?___ (8) Look at the ones digits of 80, 27, 40, 62, 36 and 55 Then, answer the following questions. (a) Write down all the numbers that have 2 as a factor. Me (b) Write down all the numbers that have 5 as a factor. (c]__ Write down all the numbers that have both 2 and 5 as factors.Name: Class: Date: Practice 2 Multiples (1) (a) The first 12 multiples of 7 are 7,14, 21, (b) The first 12 multiples of 8 are (2) Fillin the blanks. (a) The first multiple of 3 is (b) The second multiple of 4 is (c)_ The third multiple of 9 is (3) Fillin the blanks with factor or muttiple. The product of 5 and 6 is 30. (a) 5isa_______ of 30. fo} 301s ee O19 of 30. (d) 30isa____ of 6. { 6isa —___ ° (4) Fillin the blanks with Yes or No. (a) Is 32 a multiple of 6? (b) Is 63a multiple of 9? = ___ vesson2 Muities WED(3) (a) (b) } The first ten multiples of 5 are 5, 10, 15, The first ten multiples of 9 are oe The first common multiple of 5 and 9 is The first eight multiples of 3 are The first eight multiples of 4 are The first two common multiples of 3 and 4 are and The multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, The multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, . The common multiples of 4 and 6 that are smaller than 40 are and (6) Fill in the blanks with Yes or No. (a) (b) Is 42 a common multiple of 3 and 7? Is 100 a common multiple of 5 and 8? < Chapter2 Factors and MultiplesName: Class: Date: Chapter 2 Review () Find the missing factors. (a) 25=5 x —___ (b) 36=4x__ () 90=___ KD ) (2) (3) (4) (5) (6) (7) (3) What are the common factors cf 15 and 20? The first eight multiples of 9 are Find all the common factors of these pairs of numbers. (a) 18 and 30 (b) 32 and 48 Write down the multiples of 8 that are between 50 and 70. What number is between 30 and 40 and a multiple of both 4 and 6? Look at the ones digits of 60, 23, 30, 42, 76 and 85 Write down all the numbers that have both 2 and 5 as factors. Write down the numbers that are a multiple of 7 and a factor of 21. Chapter 2. Factors and Multiples ‘=>Name: Class: Date: = — Cinergy — In this chapter, you learnt about factors and multiples. What is the most difficult part in learning factors and multiples? Why? ei Chapter 2 Factors and MultiplesClass: Lam a 2-digit odd number. Tam a factor of 84 and also a multiple of 7. What number am I? Date:(2) The product of two different numbers is 24. The sum of the two numbers is 14. What are the two numbers? <9 Chapter 2 Factors and MultiplesName: Class: Date: Section A Each question has four options. Choose the correct option (@), @. & or ©). Write in the brackets provided. (1) What is forty-eight thousand ard six in numerals? @ 4806 @ 40086 me) @ 40806 @ 48006 (1 (2) What is the missing number? 100 more than 26 542 is @ 26552 Q 2 642 @ 27542 @ 36542 () (3) Whats 100 less than 79 023? @ 69023 » @ 78.023 © 78923 @ 79013 (J (4) What is the missing number? 2 ten thousands + 7 hundreds + 6 ones = @ 2% @ 2076 2706 98 @ 20706 (4Section B Solve the problems. Show your workings clearly in the spaces provided. Write your answers in the boxes provided. (5) Use the digits 8, 4, 1, 3 and 6 to form the smallest 5-digit even number. (J (6) Use the digits 7, 5, 8, 2 and 9 to form the greatest 5-digit odd number. (C_) (7 The value of the digit in the ten thousands place is 20 000. The digit in the thousands place is 5. The digit in the tens place is 8. The two remaining digits are the same. They add up to 8. The number is =) (8) | Anumber when rounded to the nearest thousand becomes 48 000. What could the smallest possible number be? 47 000 48.000 49.000 One of my factors is 3. Tam between 40 and 50. Tam Review 1 ‘>1 4 “{12) The fourth multiple of a 1-digit number is 18 more than its second multiple. What is the 1-digit number? L *(13) Find a 2-digit number which is smaller than 40 using the clues below. It can be divided exactly by 4. When 4 is added to it, it can be divided exactly by 5. CL *(14) Anumber when rounded to the nearest hundred becomes 25 700. What could the greatest possible number be?