Mathematics HOTS Corner Cover All Performance Levels Mid-Year Test Complete Answers DSKP TEXTBOOK PBD MOD ULE KSSR KSSR 5 Julia Mansor Nick Daniel UASA ujian akhir sesi akademik
© Global Mediastreet Sdn. Bhd. (Co. No. 762284-U) iii TABLE OF ASSESSMENT MATHEMATICS YEAR 5 v UNIT 1 WHOLE NUMBERS AND OPERATIONS Activity Zone 1.1 Number Value 1 1.2 Prime Numbers 5 1.3 Estimation 6 1.4 Rounding off Numbers 7 1.5 Number Patterns 8 1.6 Basic Operations 9 1.7 Mixed Operations 15 1.8 Using Unknown 17 1.9 Problem Solving 18 ASSESSMENT 1 21 UNIT 2 FRACTIONS, DECIMALS AND PERCENTAGES Activity Zone 2.1 Fractions 23 2.2 Decimals 25 2.3 Percentages 28 2.4 Problem Solving 30 ASSESSMENT 2 33 UNIT 3 MONEY Activity Zone 3.1 Basic Operations Involving Money 35 3.2 Mixed Operations Involving Money 39 3.3 Savings and Investment 41 3.4 Credit and Debt Management 42 3.5 Problem Solving 43 ASSESSMENT 3 46 UNIT 4 TIME Activity Zone 4.1 Duration 48 4.2 Relationship Involving Unit of Time 50 4.3 Basic Operations Involving Time 51 4.4 Problem Solving 53 ASSESSMENT 4 56 CONTENTS
© Global Mediastreet Sdn. Bhd. (Co. No. 762284-U) 1 L.S. 1.1.1 State numbers up to 1 000 000: (i) Read any number in words (ii) Say any number in numerals 76 542 186 994 347 985 745 124 106 547 967 104 563 850 250 498 Three hundred forty-seven thousand nine hundred and eighty-five Seventy-six thousand five hundred and forty-two One hundred eighty-six thousand nine hundred and ninety-four Nine hundred sixty-seven thousand one hundred and four Five hundred sixty-three thousand eight hundred and fifty Two hundred fifty thousand four hundred and ninety-eight Seven hundred forty-five thousand one hundred and twenty-four One hundred six thousand five hundred and forty-seven 1 2 3 4 5 6 7 8 158 637 248 967 706 849 Seven hundred six thousand eight hundred and forty-nine One hundred fifty-eight thousand six hundred and thirty-seven Two hundred forty-eight thousand nine hundred and sixty-seven Match. Match. 1.1 Number Value A B WHOLE NUMBERS AND 1 OPERATIONS ACTIVITY ZONE Textbook pages: 1 – 9
© Global Mediastreet Sdn. Bhd. (Co. No. 762284-U) 2 Number Word 65 208 394 568 725 604 840 335 215 907 606 824 1 2 3 4 5 6 84 050 272 015 670 521 518 137 866 423 184 754 Eighty-four thousand and fifty Two hundred seventy-two thousand and fifteen Six hundred seventy thousand five hundred and twenty-one Five hundred eighteen thousand one hundred and thirty-seven Eight hundred sixty-six thousand four hundred and twenty-three One hundred eighty-four thousand seven hundred and fifty-four 1 2 3 4 5 6 Write the number in words. Write the numbers in digit. C D L.S. 1.1.1 State numbers up to 1 000 000: (ii) Say any number in numerals (iii) Write numbers in numerals and words
© Global Mediastreet Sdn. Bhd. (Co. No. 762284-U) 3 Place value Digit value Place value Digit value 1 24 358 2 puluh ribu + 4 ribu + 3 ratus + 5 puluh + 8 sa 2 603 187 6 ratus ribu + 3 ribu + 1 ratus + 8 puluh + 7 sa 3 520 130 5 ratus ribu + 2 puluh ribu + 1 ratus + 3 puluh 4 187 634 1 ratus ribu + 8 puluh ribu + 7 ribu + 6 ratus + 3 puluh + 4 sa 1 60 457 60 000 + 400 + 50 + 7 2 247 815 200 000 + 40 000 + 7 000 + 800 + 10 + 5 3 585 086 500 000 + 80 000 + 5 000 + 80 + 6 4 397 182 300 000 + 90 000 + 7 000 + 100 + 80 + 2 1 68 405 sa 5 5 275 894 ribu 5 000 2 39 567 puluh ribu 30 000 6 532 478 puluh 70 3 453 256 ratus 200 7 645 253 puluh ribu 40 000 4 308 450 puluh ribu 10 8 158 604 ratus ribu 100 000 State the place value and digit value of the underlined digit. PL 3 Partition the following numbers based on place values. PL 3 Partition the following numbers based on digit values. PL 3 E F G Achieved Performance Level Determine number values including estimation, round off and completion of number patterns up to 1 000 000. 3 Not Yet Achieved Determine the value of numbers up 1 000 000: (i) State the place value and digit value of any number (ii) Write any numbers in extended notation based on place and digit value L.S. 1.1.2
© Global Mediastreet Sdn. Bhd. (Co. No. 762284-U) 4 1 2 3 4 5 6 45 653 603 457 923 125 63 457 385 478 215 754 54 653 613 457 906 450 76 315 541 586 205 780 kurang daripada kurang daripada lebih daripada kurang daripada kurang daripada lebih daripada 30 435 285 158 12 603 420 102 250 320 1 (a) Ascending order (b) Decreasing order 12 603, 30 435, 250 320, 285 158, 420 102 420 102, 285 158, 250 320, 30 435, 12 603 250 159 587 360 587 125 654 457 546 031 2 (a) Ascending order (b) Decreasing order 250 159, 546 031, 587 125, 587 360, 654 457 654 457, 587 360, 587 125, 546 031, 250 159 J = 48 563 K = 305 535 L = 638 945 M = 512 315 N = 605 125 1 2 3 4 5 28 563 K 639 045 112 315 905 125 38 563 305 635 L 212 315 805 125 J 305 735 638 845 312 315 705 125 58 563 305 835 638 745 412 315 N 68 563 305 935 638 645 M 505 125 Compare the number values. Write less than or more than. Arrange the following numbers in ascending and descending orders. PL 3 H I J Complete the series of numbers. Write the value represented by the letter. PL 3 Determine the value of numbers up 1 000 000: (iii) Compare the value of two numbers (iv) Arrange numbers in ascending and descending order (v) Complete any number sequence in ascending and descending order L.S. 1.1.2 Achieved Performance Level Determine number values including estimation, round off and completion of number patterns up to 1 000 000. 3 Not Yet Achieved
© Global Mediastreet Sdn. Bhd. (Co. No. 762284-U) 5 1 2 3 4 Two prime numbers whose sum is 82. Two prime numbers whose difference is 86. Two prime numbers whose product is 407. Three prime numbers whose sum is 36. 23, 59 3, 89 11, 37 2, 5, 29 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 Circle the prime numbers within 100. PL 2 Write the prime numbers for the following situations. PL 2 A B 1.2 Prime Numbers L.S. 1.2.1 Identify prime numbers within 100. Textbook pages: 10 – 11 Achieved Performance Level 2 Identify prime numbers. Not Yet Achieved
© Global Mediastreet Sdn. Bhd. (Co. No. 762284-U) 6 1 2 3 Pool P Arrangement P Tank P Pool Q Arrangement Q Tank Q 2 400 balls 600 000 g 320 The number of balls in pool P is 2 400. Estimate the number of balls in pool Q. The mass of woods for the arrangement P is 600 000 g. Estimate the mass of woods for the arrangement Q. The volume of water in tank Q is 320 . Estimate the volume of water in tank P. Estimate the following quantity. PL 3 1.3 Estimation A L.S. 1.3.1 Estimate quantity based on given reference set and justify the answer. Textbook pages: 14 – 15 Achieved Performance Level Determine number values including estimation, round off and completion of number patterns up to 1 000 000. 3 Not Yet Achieved
© Global Mediastreet Sdn. Bhd. (Co. No. 762284-U) 7 1 (295 612, 287 112, 283 879) rounded off to the nearest ten thousand becomes 290 000. 2 (553 789, 476 203, 561 897) rounded off to the nearest hundred thousand becomes 500 000. 3 (867 122, 888 032, 899 541) rounded off to the nearest thousand becomes 900 000. Number the nearest ten Round off to the nearest hundred the nearest thousand 125 782 870 825 395 207 457 968 1 2 3 4 125 780 870 830 395 210 457 970 125 800 870 800 395 200 458 000 126 00 871 000 395 00 458 000 Number Round off to 601 343 145 876 870 121 375 394 5 6 7 8 the nearest ten thousand the nearest hundred thousand 601 000 150 000 870 000 380 000 600 000 140 000 900 000 400 000 Round off the following numbers. PL 3 Underline the correct answer. PL 3 1.4 Rounding off Numbers A B Round off whole numbers up to the nearest hundred thousand. Identify numbers that can be represented by a rounded off number up to the nearest hundred thousand. L.S. 1.4.1 L.S. 1.4.2 Menguasai Belum menguasai Textbook pages: 16 – 18 Achieved Performance Level Determine number values including estimation, round off and completion of number patterns up to 1 000 000. 3 Not Yet Achieved
© Global Mediastreet Sdn. Bhd. (Co. No. 762284-U) 8 1 385 625 386 625 387 625 388 625 389 625 390 625 (a) Missing number 389 625 (b) Number pattern Tertib menaik seribu-seribu 2 81 025 71 025 61 025 51 025 41 025 31 025 (a) Missing number 389 625 (b) Number pattern Tertib menaik seribu-seribu 3 570 526 570 520 570 516 570 512 570 508 570 504 (a) Missing number 389 625 (b) Number pattern Tertib menaik seribu-seribu 4 63 500 163 500 263 500 363 500 463 500 563 500 (a) Missing number 389 625 (b) Number pattern Tertib menaik seribu-seribu Complete and determine the number pattern. PL 3 1.5 Number Patterns A L.S. 1.5.2 Complete various number patterns that are given in ascending and descending order. Identify patterns in given number series in ascending and descending order by ones up to tens, hundreds, thousands, ten thousands and hundred thousands. L.S. 1.5.1 Textbook pages: 12 – 13 Achieved Performance Level Determine number values including estimation, round off and completion of number patterns up to 1 000 000. 3 Not Yet Achieved
© Global Mediastreet Sdn. Bhd. (Co. No. 762284-U) 12 7 0 9 × 1 0 0 0 7 0 9 0 0 0 1 000 × 107 = 709 000 1 1 3 2 4 5 1 2 × 3 9 7 3 5 3 6 324 512 × 3 = 973 536 1 2 5 324 × 61 = 324 764 1 1 5 2 0 2 3 × 3 4 5 6 0 6 9 152 023 × 3 = 456 069 3 4 1 1 2 1 1 6 5 9 6 × 3 0 4 9 7 8 8 0 16 596 × 30 = 497 880 9 2 3 × 1 0 0 0 9 2 3 0 0 0 1 000 × 923 = 923 000 5 6 D Solve the multiplication operations. PL 1 PL 2 PL 3 L.S. 1.6.3 Solve multiplication number sentences of any number up to six digits with a number up to two digits, 100 and 1000 with product up to 1 000 000. Achieved Performance Level 1 Read number sentences involving and mixed operations with and without brackets. Not Yet Achieved Achieved Performance Level 2 Explain procedure of basic operations and mixed operations with and without brackets. Not Yet Achieved Achieved Performance Level Justify the answer and solve number sentences involving basic operations with and without brackets. 3 Not Yet Achieved
© Global Mediastreet Sdn. Bhd. (Co. No. 762284-U) 13 3 6 9 8 7 2 5 8 8 6 – 2 1 4 8 – 4 2 6 8 – 6 3 5 6 – 5 6 0 2 8 5 8 1 4 1 1 4 3 2 4 – 8 3 4 – 3 2 2 3 – 2 0 3 2 – 3 2 4 – 4 0 7 0 4 6 2 9 6 3 4 1 5 8 – 6 3 0 4 1 – 3 6 5 5 – 5 4 1 8 – 1 8 0 2 3 1 2 5 25 5 7 8 1 2 5 – 5 0 7 8 – 7 5 3 1 – 2 5 6 2 – 5 0 1 2 5 – 1 2 5 0 578 125 ÷ 25 = 23 125 2 0 0 6 3 48 9 6 3 0 4 5 – 9 6 0 3 – 0 3 0 – 0 3 0 4 – 2 8 8 1 6 5 – 1 4 4 2 1 baki 963 045 ÷ 48 = 20 063 baki 21 1 2 3 4 5 E Solve the following. PL 1 PL 2 PL 3 L.S. 1.6.4 Solve division number sentences of any number within 1 000 000 with a number up to two digits, 100 and 1000. Achieved Performance Level 1 Read number sentences involving and mixed operations with and without brackets. Not Yet Achieved Achieved Performance Level 2 Explain procedure of basic operations and mixed operations with and without brackets. Not Yet Achieved Achieved Performance Level Justify the answer and solve number sentences involving basic operations with and without brackets. 3 Not Yet Achieved
© Global Mediastreet Sdn. Bhd. (Co. No. 762284-U) 16 1 5 5 5 7 5 5 – 5 2 7 – 2 5 2 5 – 2 5 0 1 1 1 9 4 5 9 + 1 5 5 1 9 6 1 4 1 1 1 5 6 – 4 2 4 8 4 4 0 4 7 3 4 6 4 4 0 4 – 4 2 2 0 – 1 8 2 4 – 2 4 0 2 3 5 7 1 0 + 1 5 0 2 3 5 8 6 0 8 9 – 7 9 1 0 235 860 10 = 23 586 1 9 10 12 2 0 2 – 1 9 5 7 6 8 5 7 4 7 9 5 – 4 2 5 9 – 5 6 3 5 – 3 5 0 5 13 7 17 6 3 8 7 – 4 6 5 9 1 7 2 8 1 5 6 – 1 4 4 1 2 1 4 4 12 1 7 2 8 – 1 2 5 2 – 4 8 4 8 – 4 8 0 19 459 + 775 ÷ 5 = 19 614 (156 + 4 248) ÷ 6 = 734 (235 710 + 150) ÷ (89 – 79) = 23 586 7 224 ÷ 4 – 325 = 1 481 4 795 ÷ (202 – 195) = 685 (6 387 – 4 659) ÷ (156 – 144) = 144 1 3 5 2 4 6 B Solve each of the following. PL 1 PL 2 PL 3 L.S. 1.7.1 Calculate mixed operations within 1 000 000 with and without brackets: (iii) Addition and division (iv) Subtraction and division Achieved Performance Level 1 Read number sentences involving and mixed operations with and without brackets. Not Yet Achieved Achieved Performance Level 2 Explain procedure of basic operations and mixed operations with and without brackets. Not Yet Achieved Achieved Performance Level Justify the answer and solve number sentences involving basic operations with and without brackets. 3 Not Yet Achieved
© Global Mediastreet Sdn. Bhd. (Co. No. 762284-U) 17 Achieved Performance Level Solve daily routine problems involving whole numbers, basics operations and mixed operations with and without brackets up to 1 000 000. 4 Not Yet Achieved 1 1 2 Pak Asril picked 675 papayas in few days. Pak Asril can pick 45 papayas each day. How many days did Pak Asril pick the papaya? Encik Lim sold 750 fishes to customers. Each customer buys 5 fishes. How many customers bought the fish? 1 500 pairs of shoes are distributed to several stores. Each store received 50 pairs of shoes. How many stores received the shoes? (a) Multiplication number sentence: K × 45 = 675 (a) Division number sentence: K × 45 = 675 (a) Division number sentence: K × 45 = 675 (b) Value of unknown: K = 675 ÷ 45 = 15 (b) Value of unknown: K = 675 ÷ 45 = 15 2 Some pupils managed to collect 5 580 bottles of mineral water, each of them is collecting 30 bottles. How many pupils collect the bottle of mineral water? (a) Multiplication number sentence: K × 45 = 675 (b) Value of unknown: K = 675 ÷ 45 = 15 (b) Value of unknown: K = 675 ÷ 45 = 15 Write a multiplication number sentences and find the value of unknown. PL 4 Write a division number sentences and find the value of unknown. PL 4 1.8 Using Unknown A B Determine the value of an unknown in division number sentences involving any number with a number up to two digits, 100 and 1000 within 1 000 000. L.S. 1.8.2 L.S. 1.8.1 Determine the value of an unknown in multiplication number sentences involving one multiplication operation with the product up to 1 000 000. Textbook pages: 38 – 39
© Global Mediastreet Sdn. Bhd. (Co. No. 762284-U) 18 Achieved Performance Level Solve daily routine problems involving whole numbers, basics operations and mixed operations with and without brackets up to 1 000 000. 4 Not Yet Achieved Achieved Performance Level Solve daily routine problems involving whole numbers, basics operations and mixed operations with and without brackets up to 1 000 000 using various strategy. 5 Not Yet Achieved 1 A bread factory produces 12 500 loaves of bread in June. The number of breads produced in July is 8 650 loaves more than June. Calculate the total number of breads produced in June and July. 12 500 + 12 500 + 8 650 = 33 650 2 The workers of Encik Johan picked 25 000 tomatoes on Wednesday. 11 025 tomatoes were picked in the morning and the rest were picked in the evening. How many tomatoes were picked in the evening? 3 The following shows the number of mangosteens in a basket. 250 mangosteens Encik Khairil sells 15 baskets of mangosteens every day. What is the number of mangosteens sold by Encik Kharil in January? Solve the following problems. PL 4 PL 5 1.9 Problem Solving A Solve problems involving whole numbers up to 1 000 000 in daily situations. Solve daily problems involving basic operations and mixed operations within 1 000 000. Solve multiplication and division problems in daily situations involving one unknown. L.S. 1.9.1 L.S. 1.9.2 L.S. 1.9.3 BREAD FACTORY Textbook pages: 50 – 59
© Global Mediastreet Sdn. Bhd. (Co. No. 762284-U) 19 Achieved Performance Level Solve daily routine problems involving whole numbers, basics operations and mixed operations with and without brackets up to 1 000 000 using various strategy. 5 Not Yet Achieved Achieved Performance Level Solve daily non-routine problems involving whole numbers, basics operations and mixed operations with and without brackets up to 1 000 000 creatively and innovatively. 6 Not Yet Achieved 1 Lestari Cinema can sells 255 000 tickets in few days. According to the data collected, the average number of tickets sold per day is 1 000 pieces. Write a division number sentence for this situation. Calculate the value of unknown. 255 000 ÷ K = 1 000 2 The following table shows the number of magazines printed in two weeks. Week Number of magazines printed First 9 850 Second 8 times the number of magazines printed in the first week Calculate the number of magazines printed in those two weeks. 3 The following table shows the number of shirts produced in three months. Month Number of shirts August 86 800 September 5 450 less than August October 368 more than September Calculate the total number of shirts produced in the three months. B Solve the following problems. PL 5 PL 6 Solve problems involving whole numbers up to 1 000 000 in daily situations. Solve daily problems involving basic operations and mixed operations within 1 000 000. Solve multiplication and division problems in daily situations involving one unknown. L.S. 1.9.1 L.S. 1.9.2 L.S. 1.9.3
© Global Mediastreet Sdn. Bhd. (Co. No. 762284-U) 20 1 The following is a dialogue between two pupils. The total number of bottles collected by pupils in 5 Cahaya and 5 Delima are 5 times the number of bottles collected by pupils in 5 Jaya. Pupils in 5 Jaya collected 5 620 bottles. The number of bottles collected by pupils in 5 Cahaya is 3 times the number of bottles collected by pupils in 5 Delima. (a) What is the total number of bottles collected by the pupils in 5 Cahaya and 5 Delima? (b) Calculate the number of bottles collected by pupils in 5 Delima. 025 botol dikumpul oleh murid 5 Cahaya 2 The table shows the number of biscuits sold at the Wangi Biscuit Shop. The number of biscuits sold in April are not shown. Month Number of biscuits Total number of biscuits March 15 000 April 120 000 May 4 times of sale in March How many times of the number of biscuits are sold in April compared to March? Solve problems involving whole numbers up to 1 000 000 in daily situations. Solve daily problems involving basic operations and mixed operations within 1 000 000. Solve multiplication and division problems in daily situations involving one unknown. L.S. 1.9.1 L.S. 1.9.2 L.S. 1.9.3 Solve the following problems. PL 5 PL 6 HOTS CORNER Achieved Performance Level Solve daily routine problems involving whole numbers, basics operations and mixed operations with and without brackets up to 1 000 000 using various strategy. 5 Not Yet Achieved Achieved Performance Level Solve daily non-routine problems involving whole numbers, basics operations and mixed operations with and without brackets up to 1 000 000 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 5 Mathematics 9 786294 851375 ISBN 978-629-485-137-5 Subject/Year Mathematics Science 1 2 3 4 5 6 Titles in this series: