(b) × × (2 ×2 + (n– 1) × 5) 1) 2 M1 for stating or using S = + (n– 1)d) n n(5n– n(2a 1) A1 ft for 1) oe n(5n– n(5n– OR OR × × (2 + 5n 3) M1 for stating or using S =n(a + and = n l) l a+(n-1)d − = 1) A1 ft for 1) oe n(5n– n(5n– 17 54 = 33 = 2x3 3 M1 for or = k × V V x3 V kx3 = 2 M1 for method to establish value of k k A1 for = 2x3 V 18 circle drawn 2 M1 for circle centre (0, 0) drawn A1 for circle centre (0, 0), radius 6 drawn PAPER: AAL30_01 Question Working Answer Mark 19 (a) Cubic graph drawn 4 M1 for calculating points for values of from = to +3 with at least 4 x x –3 correct values of y B1 for drawing suitable axes on grid for points A1 for all points correct A1 for drawing smooth curve through the correct points (b) 0.1, 2.4 1 B1ft for all values, accept values in the range −2.5, to 0.1 to 0.2 and 2.3 to 2.4 −2.5 −2.6, (c) 0.5, 1.6 2 M1 for equation written in the form 6x = 2x + 2or line = 2x + 2 x3 y −2.2, − drawn on graph or equation 2x+2 seen y= A1 ft for all three values, accept values in the range to 0.5 to 0.6 and 1.6 to 1.7 −2.2 −2.3,
(b) × n × (2 ×2 + (n– 1) × 5) n(5n– 1) OR × n × (2 + 5n − 3) = n(5n– 1) n(5n– 1) 2 M1 for stating or using S = n(2a + (n– 1)d) A1 ft for n(5n– 1) oe OR M1 for stating or using S =n(a + l) and l = a+(n-1)d A1 ft for n(5n– 1) oe 17 54 = k × 33 k = 2 V = 2x3 3 M1 for V x3 or V = kx3 M1 for method to establish value of k A1 for V = 2x3 18 circle drawn 2 M1 for circle centre (0, 0) drawn A1 for circle centre (0, 0), radius 6 drawn PAPER: AAL30_01 Question Working Answer Mark 19 (a) Cubic graph drawn 4 M1 for calculating points for values of x from x = –3 to +3 with at least 4 correct values of y B1 for drawing suitable axes on grid for points A1 for all points correct A1 for drawing smooth curve through the correct points (b) −2.5, 0.1, 2.4 1 B1ft for all values, accept values in the range −2.5 to −2.6, 0.1 to 0.2 and 2.3 to 2.4 (c) −2.2, 0.5, 1.6 2 M1 for equation written in the form 6x − x3 = 2x + 2or line y = 2x + 2 drawn on graph or equation y= 2x+2 seen A1 ft for all three values, accept values in the range −2.2 to −2.3, 0.5 to 0.6 and 1.6 to 1.7
algebra_level_3_mark_scheme_-_january_2014.docx