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Oipm Wb6 Answer

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  1 Unit 1 Number and Place Value 1A/B The number system and place value: Discover and Explore MillionsHundred thou-sandsTen thou-sandsThou-sandsHund-redsTensUnits.TenthsHund-redths1 39775.71 2 1665671. 3 5625429. 4 6227678. 5 415151. 6 9.58 1C Number properties: Discover 1. 2 × 2 × 3 × 5 2. 2 × 2 × 7 3. 5 × 17 4. 2 × 2 × 13 5. 2 × 2 × 3 × 3 6. 2 × 2 × 2 × 3 × 3 7. 2 × 3 × 3 × 5 8. 2 × 2 × 2 × 2 × 2 × 2 9. 3 × 29 10. 2 × 5 × 5 1C Number properties: Explore 1. 60 2. 55 3. 48 4. 91 5. 114 6. 14 7. 24 8. 153 1D/E Comparing numbers and estimation and rounding: Discover  − Accept all accurate answers. 1D/E Comparing numbers and estimation and rounding: Explore 1. / 2 . NumberRounded to the nearest 10Rounded to the nearest 100 567570600576580600 NumberRounded to the nearest 10Rounded to the nearest 100 657660700675680700756760800765770800 3. Accept all correct comparisons. 1F Number sequences: Discover  − Accept all accurate sequences and observations. 1F Number sequences: Explore  − Accept all accurate answers. 1 Review − Accept all accurate answers. There should be 5 facts about each number. Unit 2 Fractions and Decimals 2A Equivalent fractions: Discover FractionEquivalent fractions 23 46 , 69 , 812 , 1015 35 610 , 915 56 1012 18 221166 410 25 212 16 1015 23 , 46 , 69 , 812 1215 45 , 810   Answers OIPM_WB6_Answer.indd 111/01/17 3:16 PM  2 2A Equivalent fractions: Explore 1. 34  = 68  so 34  > 38 2. 25  = 410  and 510  = 12  so 25  < 12 3. 37  = 614  so 814  > 37  but 814  = 47  so 47  > 37   2C Addition pairs: Discover NumberAddition pair to 100Addition pair to 10Addition pair to 1 3838 + 62 = 1003.8 + 6.2 = 100.38 + 0.62 = 18585 + 15 = 1008.5 + 1.5 = 100.85 + 0.15 = 14141 + 59 = 1004.1 + 5.9 = 100.41 + 0.59 = 11616 + 84 = 1001.6 + 8.4 = 100.16 + 0.84 = 17373 + 27 = 1007.3 + 2.7 = 100.73 + 0.27 = 12424 + 76 = 1002.4 + 7.6 = 100.24+ 0.76 = 11111 + 89 = 1001.1 + 8.9 = 100.11 + 0.89 = 18989 + 11 = 1008.9 + 1.1 = 100.89 + 0.11 = 15454 + 46 = 1005.4 + 4.6 = 100.54 + 0.46 = 16767 + 33 = 1006.7 + 3.3 = 100.67 + 0.33 = 11414 + 86 = 1001.4 + 8.6 = 100.14 + 0.86 = 15151 + 49 = 1005.1 + 4.9 = 100.51 + 0.49 = 14040 + 60 = 1004 + 6 = 100.4 + 0.6 = 155 + 95 = 1000.5 + 9.5 = 100.05 + 0.95 = 19292 + 8 = 1009.2 + 0.8 = 10.92 + 0.08 = 1 2C Addition pairs: Explore  − Accept all accurate answers. 4. Using fraction wall 913  > 4499 5. 515  = 1030  and 36  = 1530  so 515  < 36  but 515  = 3  and 36  = 12  so 13  < 12 6. 38  = 616  so 816  > 38  but 816  = 12  so 12  > 38 2B Fractions and decimals: Discover 1. 1177 2277 3377 4477 5577 6677 7777 0.14285710.28571420.42857140.57142850.71428570.85714281 2. 1199 2299 3399 4499 5599 6699 7799 8899 9999 0.11111110.2222220.3333330.4444440.5555550.666660.7777770.8888881 3. 111122221122 331122 441122 551122 661122 771122 881122 991122 11001122 1111112211221122 0.08330.1660.250.3330.4160.50.5830.6660.750.8330.9161 2B Fractions and decimals: Explore A  Accept all accurate answers. Ensure all numbers have two decimal places and are placed in order from smallest to largest. B InstructionStart number count on in steps of 0.10.40.50.60.70.80.9count on in steps of 0.20.10.30.50.70.91.1count back in steps of 4 1  34 12  or 24 14 0–  14 count back in steps of 2 1 12 1  12 0– 12 –1count on in steps of 0.522.533.544.5   Answers OIPM_WB6_Answer.indd 211/01/17 3:16 PM  3 2D Mixed numbers and improper fractions: Discover 1. a. 4 12 b. 4 14 c. 3 15 d. 4 35 e. 2 14 f. 1 56 g. 3 8 h. 3 10 2. a. 134 b. 338 c. 358 d. 479 e. 1910 f. 818 g. 345 h. 4211 2D Mixed numbers and improper fractions: Explore  − Accept all accurate answers. Ensure fractions are within range and are expressed correctly as improper fractions and mixed numbers. 2E Ratio and proportion: Discover and Explore 1. a. 1:2 b. 1:3 c. 1:4 d. 1:7 e. 3:1 f. 4:1Check that arrays are drawn correctly. 2. a. 610  0.6 60% b. 910  0.9 90% c. 110  0.1 10% d. 510  0.5 50% e. 810  0.8 80% 3. a. 0.75 or 75% coloured tiles  b. 0. 1 25 or 1 2.5% coloured tiles  2F Percentages: Discover 1. a. 14 b. 34 c. 110 d. 410  or 25 e. 210  or 15 f. 910 g. 510  or 12 h. 13 i. 23  j. 710 Mark (out of 60)Equivalent % 60100%5490%4575%4270%3050%2440%  Answers OIPM_WB6_Answer.indd 311/01/17 3:16 PM  4 Mark (out of 60)Equivalent % 1525%1220%610%35% 2F Percentages: Explore  − Accept all accurate answers. There should be 6 different percentages for each number. 2 Review 1. T Shirt $4 Jeans $12 Trainers $16 Socks $1 2. $1 I pay $9. 3. Yes, because 24 ÷ 3 = 8 4. $66 Discount = $22 I pay $44. 5. $32 Discount = $3.20 I pay $28.80. Unit 3 Mental Calculation 3A/F Mental strategies for addition and subtraction: Discover − Accept all effective strategies. 3A/F Mental strategies for addition and subtraction: Explore  − Accept all accurate questions. 3B/E Mental strategies for multiplication and division: Discover  − Accept all accurate calculations. 3B/E Mental strategies for multiplication and division: Explore 1. x20403060905 100200150300450 60 12002400180036005400 70 14002800210042006300 10 200400300600900 50 10002000150030004500 2. x2040306090 91803602705408106112202440183036605490691380276020704140621011220440330660990499801960147029404410 3. x1625503060 0.46.4102012240.812.8204024480.23.25106120.5812.52515300.34.87.515918 3C Using known facts to derive new ones: Discover 1. a. 13 b. 26 c. 39 d. 52 e. 65 f. 78 g. 91 h. 104 i. 117  j. 130(Check reasons are accurate.) 2. a. 19 b. 38 c. 57 d. 76 e. 95 f. 114 g. 133 h. 152 i. 171  j. 190(Check reasons are accurate.) 3C Using known facts to derive new ones: Explore  − Accept all accurate answers. 3D Doubling and halving: Discover − Accept all accurate answers.   Answers OIPM_WB6_Answer.indd 411/01/17 3:16 PM

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