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| 1 | +# Parallel Academy Year 9 Autumn Term Week 1 Assignment |
| 2 | + |
| 3 | +These problems relate to a recent theme you have been covering during webinars. They are arranged in order of increasing difficulty and the final problem is much more of a challenge than the rest. |
| 4 | + |
| 5 | +The problems are designed to help you reflect on material from previous webinar sessions (which you can access on your Academy page). |
| 6 | + |
| 7 | +The number of marks each question or part is worth is shown. Some have an optional hint, which cost 1 mark, so only reveal the hint if you’ve given the problem some real thought. |
| 8 | + |
| 9 | +Take your time, ensuring that you haven't overlooked something or made a silly error, before submitting your answers. Please remember that completing homework is certainly not a race! |
| 10 | + |
| 11 | +You should only leave an answer blank if you have really thought about the problem and are still stuck (particularly with the final problem). |
| 12 | + |
| 13 | +**Before you click Submit at the end of the assignment, check that all of your answers have been entered correctly.** |
| 14 | + |
| 15 | +**After you click Submit, make sure you scroll down to see the correct answers and read the full written solutions.** |
| 16 | + |
| 17 | +## 1. |
| 18 | +{image align="center"} |
| 19 | + |
| 20 | +::: problem id=1_1 marks=1 |
| 21 | +a) <input type="number" solution="11"/> |
| 22 | + |
| 23 | +--- |
| 24 | + |
| 25 | +{image align="center"} |
| 26 | +::: |
| 27 | + |
| 28 | +::: problem id=1_2 marks=1 |
| 29 | +b) <input type="number" solution="27"/> |
| 30 | + |
| 31 | +--- |
| 32 | + |
| 33 | +{image align="center"} |
| 34 | +::: |
| 35 | + |
| 36 | +::: problem id=1_3 marks=1 |
| 37 | +c) <input type="number" solution="6"/> |
| 38 | + |
| 39 | +--- |
| 40 | + |
| 41 | +{image align="center"} |
| 42 | +::: |
| 43 | + |
| 44 | +::: problem id=1_4 marks=1 |
| 45 | +d) <input type="number" solution="20"/> |
| 46 | + |
| 47 | +--- |
| 48 | + |
| 49 | +{image align="center"} |
| 50 | +::: |
| 51 | + |
| 52 | + |
| 53 | +## 2. |
| 54 | +{image align="center"} |
| 55 | + |
| 56 | +::: problem id=2_1 marks=1 |
| 57 | +{image align="center"} |
| 58 | +* [ ] (i) |
| 59 | +* [ ] (ii) |
| 60 | +* [x] (iii) |
| 61 | +* [ ] (iv) |
| 62 | +{.col-5} |
| 63 | + |
| 64 | +--- |
| 65 | + |
| 66 | +{image align="center"} |
| 67 | +::: |
| 68 | + |
| 69 | +::: problem id=2_2 marks=1 |
| 70 | +{image align="center"} |
| 71 | +* [x] (i) |
| 72 | +* [ ] (ii) |
| 73 | +* [ ] (iii) |
| 74 | +* [ ] (iv) |
| 75 | +{.col-5} |
| 76 | + |
| 77 | +--- |
| 78 | + |
| 79 | +{image align="center"} |
| 80 | +::: |
| 81 | + |
| 82 | +::: problem id=2_3 marks=1 |
| 83 | +{image align="center"} |
| 84 | +* [ ] (i) |
| 85 | +* [x] (ii) |
| 86 | +* [ ] (iii) |
| 87 | +* [ ] (iv) |
| 88 | +{.col-5} |
| 89 | + |
| 90 | +--- |
| 91 | + |
| 92 | +{image align="center"} |
| 93 | +::: |
| 94 | + |
| 95 | +::: problem id=2_4 marks=1 |
| 96 | +{image align="center"} |
| 97 | +* [ ] (i) |
| 98 | +* [ ] (ii) |
| 99 | +* [ ] (iii) |
| 100 | +* [x] (iv) |
| 101 | +{.col-5} |
| 102 | + |
| 103 | +--- |
| 104 | + |
| 105 | +{image align="center"} |
| 106 | +::: |
| 107 | + |
| 108 | + |
| 109 | +## 3. |
| 110 | +{image align="center"} |
| 111 | + |
| 112 | +::: problem id=3_1 marks=2 |
| 113 | +<input type="number" solution="1"/> |
| 114 | + |
| 115 | +--- |
| 116 | + |
| 117 | +{image align="center"} |
| 118 | +::: |
| 119 | + |
| 120 | + |
| 121 | +## 4. |
| 122 | +{image align="center"} |
| 123 | + |
| 124 | +::: problem id=4_1 marks=2 |
| 125 | +<input type="number" solution="2"/> |
| 126 | + |
| 127 | +^^^ hint id=4_1 marks=1 |
| 128 | +{image align="center"} |
| 129 | +^^^ |
| 130 | + |
| 131 | +--- |
| 132 | + |
| 133 | +{image align="center"} |
| 134 | +::: |
| 135 | + |
| 136 | + |
| 137 | +## 5. |
| 138 | +{image align="right"} |
| 139 | +{image align="center"} |
| 140 | + |
| 141 | +::: problem id=5_1 marks=2 |
| 142 | +<input type="number" solution="8"/> |
| 143 | + |
| 144 | +^^^ hint id=5_1_1 marks=1 |
| 145 | +{image align="center"} |
| 146 | +^^^ |
| 147 | +--- |
| 148 | + |
| 149 | +{image align="center"} |
| 150 | +::: |
| 151 | + |
| 152 | +**Before you click Submit at the end of the assignment, check that all of your answers have been entered correctly.** |
| 153 | + |
| 154 | +**After you click Submit, make sure you scroll down to see the correct answers and read the full written solutions.** |
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