J3 Chart Chunks worksheet 1 6 1 9 8 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 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 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 69 70 81 62 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 91 92 93 94 95 96 97 98 99 100 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 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 4 45 46 47 48 49 50 | 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 CS 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 51 52 53 54 55 56 57 58 59 60 71 72 73 74 75 76 77 78 79 80 81 82 83 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 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 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 41 2 3 4 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 GL 62 63 64 65 66 67 68 69 70 91 92 93 94 95 96 97 98 99 100 J3 Chart Chunks Here is a 100 chart with several areas called chunks shaded on it. 5 7 8 9 10 11 12 13 16 18 19 20 21 22 23 24 25 26 29 30 31 32 34 35 36 37 38 39 40 | 41 | 42 as is 56 47 48 49 50 51 52 54 55 56 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 89 90 | 91 92 93 96 95 96 97 98 99 100 A chunk is named after the number of squares it contains, or sometimes by its shape. For example, all the dark grey chunks are called 4-chunks and one of them is a 2 x 2 chunk. The value of a chunk is the sum of the numbers on its squares. For example, the light grey 9-chunk has value 57 +58 +59 +60 +69 + 70 + 78 +79 +88 = 618. A chunk must be in one piece. It cannot have parts joined at a comer, for example (71, 72, 83, 84]. It must not have holes, for example 71, 72, 73, 81, 83, 91, 92, 93] a On a blank 100-chart, shade in a chunk that has value 600 and the fewest squares. Explain why there is no chunk of value 600 with fewer squares b On a blank 100 chart, shade in a chunk that has value 600 and the most squares. Explain why there is no chunk of value 600 with more squares, Show that, if a chunk is square and contains exactly nine squares, the value of the chunk is always 9 times the central number d Find all square chunks that contain exactly nine squares and have a value that is a perfect square. J3 Chart Chunks a A correct chunk, and convincing explanation: 1 mark b A correct chunk, and convincing explanation: 1 mark c A convincing explanation: 1 mark d All correct chunks: 1 mark