1. 3.1
    The first four terms of a quadratic number pattern are -1; x; 3; x + 8
    1. 3.1.1
      Calculate the value(s) of x.
      (4)
      1. 3.1.2
        If x = 0, determine the position of the first term in the quadratic number pattern for which the sum of the first n first differences will be greater than 250.
        (4)
      2. 3.2
        Rectangles of width 1 cm are drawn from the edge of a shit of paper that is 30 cm long such that there is a 1 cm gap between one rectangle and the next. The length of the first rectangle is 21 cm and the length of each successive rectangle is 85% of the length of the previous rectangle until there are rectangles drawn along the entire length AD. Each rectangle is coloured grey.Diagram
        1. 3.2.1
          Calculate the length of the 10th rectangle.
          (3)
          1. 3.2.2
            Calculate the percentage of the paper that is coloured grey.
            (4)
          (15)
          [{"prnt":"3.1","num":"3.1.1","answer":""},{"prnt":"3.1","num":"3.1.2","answer":""},{"prnt":"3.2","num":"3.2.1","answer":""},{"prnt":"3.2","num":"3.2.2","answer":""}]

          Answers

            1. 3.1.1
            2. 3.1.2
            3. 3.2.1
            4. 3.2.2
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