(C2) (A1) (A1) Note: Award for both numbers, for correct inequalities. [6] 3. (a) 220 = 2(W + (M1) x) Therefore = or 110 (A1) W x – (b) Area = (A1) x(110 x) (allow follow through from part (a)) – (c) Area = 70(110 70) = 2800 m2(allow (A1) follow through from part (b)) – [4] 4. (a) = (M1)(A1) x –3 (C2) (M1) Note: Award for using property of symmetry or sketch. (b) (i) = 5 (A1) (C1) f(–1) (ii) Range = (–,5]or y 5 (A1)(A1)(A1)  (C3) (A1) (A1) (A1) Notes: Award for for for 5. “ (–”, “]”, (A1) For y = 5 award only. (A1)(A1). For y  5 award [6] 5. (a) 5x(6 x) – (A1)(A1) (C3) Note: Award (A1) for each factor. Therefore x(30 5x) would be awarded – (A0)(A1)(A1). (b) 5x(6 = 0 (M1) x) – = 0 or = 6 x x = (6, 0) (A1)(A1) (C3) A (c) = 3 (A2) x (C2) OR = (M1) x = 3 (A1) (C2) [8] (UP) 6. Unit penalty is applicable where indicated.
(C2) Note: Award (A1) for both numbers, (A1) for correct inequalities. [6] 3. (a) 220 = 2(W + x) (M1) Therefore W = or 110 – x (A1) (b) Area = x(110 – x) (allow follow through from part (a)) (A1) (c) Area = 70(110 – 70) = 2800 m2(allow follow through from part (b)) (A1) [4] 4. (a) x = –3 (M1)(A1) (C2) Note: Award (M1) for using property of symmetry or sketch. (b) (i) f(–1) = 5 (A1) (C1) (ii) Range = (–,5]or y  5 (A1)(A1)(A1) (C3) Notes: Award (A1) for “ (–”, (A1) for “]”, (A1) for 5. For y = 5 award (A1) only. For y  5 award (A1)(A1). [6] 5. (a) 5x(6 – x) (C3) Note: Award (A1) for each factor. Therefore x(30 – 5x) would be awarded (A0)(A1)(A1). (b) 5x(6 – x) = 0 (M1) x = 0 or x = 6 A = (6, 0) (A1)(A1) (C3) (c) x = 3 (A2) (C2) OR x = (M1) = 3 (A1) (C2) [8] 6. Unit penalty (UP) is applicable where indicated. (A1)(A1)
quadratics_and_exponentials_ws.docx