Mathematics HOTS Corner Cover All Performance Levels Mid-Year Test Complete Answers DSKP TEXTBOOK PBD MOD ULE Adam Junaidi KSSR KSSR 6 UASA ujian akhir sesi akademik
© Global Mediastreet Sdn. Bhd. (Co. No. 762284-U) ii UNIT 1 WHOLE NUMBERS AND OPERATIONS Activity Zone 1.1 Whole Numbers Up to 10 000 000 1 1.2 Basic and Mixed Operations 6 1.3 Prime Numbers and Composite Numbers 12 1.4 Problem Solving 15 ASSESSMENT 1 17 UNIT 2 FRACTIONS, DECIMALS AND PERCENTAGES Activity Zone 2.1 Fractions 19 2.2 Decimals 23 2.3 Percentages 25 2.4 Mixed Operations 28 2.5 Problem Solving 31 ASSESSMENT 2 34 UNIT 3 MONEY Activity Zone 3.1 Financial Management 35 3.2 Insurance and Takaful 44 3.3 Problem Solving 45 ASSESSMENT 3 48 UNIT 4 TIME Activity Zone 4.1 Time Zone 49 4.2 Problem Solving 50 ASSESSMENT 4 56 MID-YEAR TEST 57 TABLE OF ASSESSMENT MATHEMATICS YEAR 6 iii UNIT 5 MEASUREMENT Activity Zone 5.1 Problem Solving 69 ASSESSMENT 5 76 UNIT 6 SPACE Activity Zone 6.1 Angles 77 6.2 Circles 81 6.3 Problem Solving 84 ASSESSMENT 6 88 UNIT 7 COORDINATES, RATIO AND PROPORTION Activity Zone 7.1 Coordinates in First Quadrant 89 7.2 Ratio 93 7.3 Proportion 95 7.4 Problem Solving 97 ASSESSMENT 7 100 UNIT 8 DATA HANDLING AND LIKELIHOOD Activity Zone 8.1 Pie Chart 101 8.2 Likelihood 103 8.3 Problem Solving 105 ASSESSMENT 8 107 UJIAN AKHIR SESI AKADEMIK 109 ANSWERS CONTENTS
© Global Mediastreet Sdn. Bhd. (Co. No. 762284-U) 1 Write the numbers in numerals. PL 1 Write the numbers in words. PL 1 1.1 Whole Number Up to 10 000 000 A B L.S. 1.1.1 Read, say and write any numbers up to 10 000 000. 1 1 2 3 4 5 2 3 4 5 One million six hundred eleven thousand and two hundred Three million forty thousand and eighteen Nine million five hundred two thousand and sixty Three million three hundred twenty thousand six hundred and forty-six Five million eight hundred six thousand and sixteen 3 320 646 6 801 701 5 009 000 1 537 059 3 895 617 WHOLE NUMBERS AND 1 OPERATIONS ACTIVITY ZONE Textbook pages: 1 – 14 Achieved Performance Level State any number up to 10 000 000 involving whole numbers, fraction of a million and decimal of a million. 1 Not Yet Achieved
© Global Mediastreet Sdn. Bhd. (Co. No. 762284-U) 2 Achieved Performance Level State any number up to 10 000 000 involving whole numbers, fraction of a million and decimal of a million. 1 Not Yet Achieved Achieved Performance Level 2 Represent numbers up to 10 000 000 using calculation tools. Not Yet Achieved Achieved Performance Level 3 Determine number pattern using calculation tools. Not Yet Achieved Use a calculator. Complete the following number patterns. PL 1 PL 3 Tick ✓ the number patterns of each of the following. PL 1 PL 3 C D L.S. 1.1.2 Represent numbers up to 10 000 000 and determine the number patterns. 1 2 3 1 40 632, 40 641, , 40 659, , 2 123 100, 123 095, 123 090, , , 3 , 350 480, 330 480, 310 480, , 4 6 801 600, 6 800 800, , 6 799 200, , 6 797 600 5 150, 750, 3 750, , , 7 834 012 2 500 000 1 622 003 7 824 012 250 000 1 621 503 7 814 012 25 000 1 621 003 7 804 012 2 500 1 620 503 7 794 012 250 1 620 003 7 784 012 25 1 619 503 Ascending order by ten thousands Descending order of division by tens Ascending order by five hundreds Descending order by ten thousands Descending order of division by fives Descending order by five hundreds
© Global Mediastreet Sdn. Bhd. (Co. No. 762284-U) 3 Achieved Performance Level State any number up to 10 000 000 involving whole numbers, fraction of a million and decimal of a million. 1 Not Yet Achieved E Write the following numbers in words. PL 1 L.S. 1.1.3 Read, say and write any numbers up to 10 000 000 in fraction of a million with 2, 4, 5, 8 and 10 as the denominators involving daily situations. One over five million Two, one over four million Nine over ten million Six and half million Four and three quarter million Three over eight million 3 8 million 1 2 million One over two million 1 4 million 4 3 4 million 3 5 million 1 8 million 4 3 10 million Example 1 2 3 4 5 1 2 3 4 5 F Write the following numbers in numerals. PL 1 Example
© Global Mediastreet Sdn. Bhd. (Co. No. 762284-U) 4 G Write the following numbers in words. PL 1 L.S. 1.1.4 Read, say and write any numbers up to 10 000 000 in decimal of a million up to three decimal places involving daily situations. H Write the following numbers in numerals. PL 1 0.38 million 0.075 million 6.19 million 3.4 million 7.062 million 1.2 million One point two million 7.8 million Seven point eight million Zero point six three million Zero point zero four seven million Five point one nine two million Four point zero zero six million Three point one zero two million 1 2 3 4 5 1 2 3 4 5 Example Example Achieved Performance Level State any number up to 10 000 000 involving whole numbers, fraction of a million and decimal of a million. 1 Not Yet Achieved
© Global Mediastreet Sdn. Bhd. (Co. No. 762284-U) 5 I Convert decimal millions to whole numbers. PL 2 J Convert whole numbers to decimal millions. PL 2 K Convert fraction millions to whole numbers. PL 2 L Convert whole numbers to fraction millions. TP 2 L.S. 1.1.5 Convert numbers in decimal of a million and fraction of a million to whole number and vice versa. 0.2 million = 7.4 million = 4 800 000 = 500 000 = 2 500 000 = 2 5 million = 0.08 million = 9.15 million = 9 600 000 = 2 900 000 = 4 300 000 = 1 7 10 million = 3 1 1 1 2 2 3 1 4 2 4 2 Achieved Performance Level Convert numbers in fraction of a million and decimal of a million into whole number and vice versa. 2 Not Yet Achieved
© Global Mediastreet Sdn. Bhd. (Co. No. 762284-U) 6 Calculate the following. PL 2 PL 3 1.2 Basic and Mixed Operations A Solve basic operations and mixed operations number sentences involving whole numbers, fraction of a million and decimal of a million with and without brackets including the use of unknown. L.S. 1.2.1 1 3 5 2 4 6 297 800 + 169 574 + 597 317 = 3.5 million + 3 1 5 million = 4 5 million + 7 639 000 + 0.61 million = 5 3 10 million − 4 250 300 = 3.5 million − 260 959 = 6 575 003 – 4 1 5 million − 1.28 million = Achieved Performance Level Solve number sentences of basic operation and mixed operation involving whole numbers, faction of a million and decimal of a million with and without brackets including the use of unknown and justify the answer. Not Yet Achieved 3 Achieved Performance Level Explain steps in solving number sentences involving basic operations and mixed operations. 2 Not Yet Achieved Textbook pages: 15 – 41
© Global Mediastreet Sdn. Bhd. (Co. No. 762284-U) 8 B Calculate the following. PL 2 PL 3 Solve basic operations and mixed operations number sentences involving whole numbers, fraction of a million and decimal of a million with and without brackets including the use of unknown. L.S. 1.2.1 24 × 155 000 = 1 1 4 million × 7 = 17 × 0.3 million = 1 3 5 2 4 6 1 840 000 ÷ 100 = 0.03 million ÷ 25 = 3 1 2 million ÷ 100 = Achieved Performance Level Solve number sentences of basic operation and mixed operation involving whole numbers, faction of a million and decimal of a million with and without brackets including the use of unknown and justify the answer. Not Yet Achieved 3 Achieved Performance Level Explain steps in solving number sentences involving basic operations and mixed operations. 2 Not Yet Achieved
© Global Mediastreet Sdn. Bhd. (Co. No. 762284-U) 11 F Calculate the value of q. PL 2 PL 3 Solve basic operations and mixed operations number sentences involving whole numbers, fraction of a million and decimal of a million with and without brackets including the use of unknown. L.S. 1.2.1 q × 10 = 1 million 7.25 million – q = 6 720 800 q ÷ 9 × 5 = 0.015 million 1 3 5 (3 1 2 million + q) ÷ 25 = 140 800 0.8 million × 7 – q = 5 1 5 million (1 3 10 million + q) ÷ 100 = 13 005 2 4 6 Achieved Performance Level Solve number sentences of basic operation and mixed operation involving whole numbers, faction of a million and decimal of a million with and without brackets including the use of unknown and justify the answer. Not Yet Achieved 3 Achieved Performance Level Explain steps in solving number sentences involving basic operations and mixed operations. 2 Not Yet Achieved
© Global Mediastreet Sdn. Bhd. (Co. No. 762284-U) 12 1.3 Prime Numbers and Composite Numbers A Tick ✓ the correct statements. PL 3 B Colour the composite numbers in the following set of numbers. TP 3 1 1 2 3 4 5 2 3 4 Prime numbers are the numbers that must be only divisible by 1 and itself. All odd numbers are prime numbers. 0 is a prime number. Prime number starts with 2. L.S. 1.3.1 Classify numbers within 100 to prime numbers and composite numbers. 5 21 13 3 51 6 22 14 14 38 7 23 15 7 17 8 24 26 27 21 9 25 17 10 59 Achieved Performance Level 3 Classify numbers within 100 into prime numbers and composite numbers. Not Yet Achieved Textbook pages: 42 – 44
© Global Mediastreet Sdn. Bhd. (Co. No. 762284-U) 13 C Tick ✓ the composite numbers. PL 3 D Choose the composite numbers and write in ascending numbers. PL 3 E Draw for prime numbers and for composite numbers. PL 3 L.S. 1.3.1 Classify numbers within 100 to prime numbers and composite numbers. 1 3 2 4 2 41 13 72 4 43 19 73 7 49 20 79 37 45 14 8 11 16 55 6 49 61 12 2 68 1 2 1 71 11 81 2 72 12 82 3 73 13 83 4 74 14 84 5 75 15 85 6 76 16 86 7 77 17 87 8 78 18 88 9 79 19 89 10 80 20 90 Achieved Performance Level 3 Classify numbers within 100 into prime numbers and composite numbers. Not Yet Achieved
© Global Mediastreet Sdn. Bhd. (Co. No. 762284-U) 14 F Answer the questions below. PL 3 L.S. 1.3.1 Classify numbers within 100 to prime numbers and composite numbers. 1 2 3 4 5 List the prime numbers between 21 until 30. List the composite numbers between 41 until 50. Is 67 a composite number? Tick ✓ the correct answer. Yes No Is 97 a prime number? Tick ✓ the correct answer. Yes No Draw the list of prime numbers and the list of composite numbers. 9, 15, 27, 33, 49 7, 13, 29, 37, 43 2, 19, 23, 31, 47 Achieved Performance Level 3 Classify numbers within 100 into prime numbers and composite numbers. Not Yet Achieved
© Global Mediastreet Sdn. Bhd. (Co. No. 762284-U) 15 1.4 Problem Solving A Solve the following problems. PL 4 PL 5 1 A company printed 2.2 million magazines in a year. 849 701 of the magazines are sold. How many magazines have not been sold? 2 A factory produces 5 8 million bottles of soya sauce. After selling some of the bottles of soya sauce, there are 5 416 bottles left. (a) The bottles of soya sauce sold are packed in boxes, with 24 bottles in a box. How many boxes of soya sauce were sold? (b) Kedai Runcit Sharudin orders 200 boxes of soya sauce from the factory, each box containing 24 bottles of soya sauce. Prove that the remaining stock is sufficient to supply to Kedai Runcit Sharudin. Solve daily routine problems involving whole numbers, prime numbers, composite numbers, fraction of a million and decimal of a million for basic operations and mixed operations, with and without brackets including the use of unknown. L.S. 1.4.1 Achieved Performance Level Solve daily routine problems involving numbers up to 10 000 000 using various strategy. 5 Not Yet Achieved Achieved Performance Level 4 Solve daily routine problems involving numbers up to 10 000 000. Not Yet Achieved Textbook pages: 45 – 57
© Global Mediastreet Sdn. Bhd. (Co. No. 762284-U) 16 Solve the following problems. PL 6 1 The table below shows the numbers of buns produced in a certain month. The number of strawberry buns is not shown. Flavour Chocolate Vanilla Corn Strawberry Butter Number of buns (packet) 1.24 million 3 10 million less 0.04 million than chocolate buns two times the number of strawberry buns The total number of the five flavours produced in that month is 3 7 10 million packets. The manager said the number of butter buns produced in that month is more than half of million packets. Prove whether his statement is true or false. Solve daily routine problems involving whole numbers, prime numbers, composite numbers, fraction of a million and decimal of a million for basic operations and mixed operations, with and without brackets including the use of unknown. L.S. 1.4.1 HOTS CORNER Achieved Performance Level Solve daily non-routine problems involving numbers up to 10 000 000 creatively and innovatively. 6 Not Yet Achieved
15, Jalan 9/152, Taman Perindustrian OUG, Batu 6 1/2,Jalan Puchong, 58200 Kuala Lumpur. Tel: +603 7783 6309 Faks : +603 7783 9089 E-mel: [email protected] Laman web: www.mediastreet.com.my GLOBAL MEDIASTREET SDN. BHD. (762284-U) 15, Jalan 9/152, Taman Perindustrian OUG, Batu 6 1/2,Jalan Puchong, 58200 Kuala Lumpur. Tel: +603 7783 6309 Faks : +603 7783 9089 E-mel: [email protected] Laman web: www.mediastreet.com.my GLOBAL MEDIASTREET SDN. BHD. (762284-U) MOD ULE Special Features: In line with the DLP (Dual Language Programme) Skill-based activities to help pupils master their comprehension of topics Special HOTS Corner to test higher order thinking skills Based on DSKP Follows the textbook and HSP closely Complete answers Semenanjung Malaysia (WM) Sabah & Sarawak (EM) : RM10.90 : RM11.90 Mathematics M O D U L E 6 Mathematics 9 786294 851382 ISBN 978-629-485-138-2 Subject/Year Mathematics Science 1 2 3 4 5 6 Titles in this series: