8 shaded region 5 M1 for drawing line = 3 x M1 for drawing line 3x + 2y = 6 M1 for drawing line = + 5 y x A2 for fully correct region shaded (A1 for correct shading for one inequality) 9 5.55 to 5.65 3 M1 for values 3, 1.5, 1, 0.7 to 0.8, 0.6, 0.5 (condone one error) M1 (dep) for substituting into trapezium rule, eg ‘values’ × 1 A1 for 5.55 to5.65 PAPER: AAL30_01 Question Working Answer Mark Notes 10 (a) 2 2 M1 for correct method to factorise 2 x² x −1, − − A1 cao (b) (3p 5)(p + 2) > 0 < > 3 M1 for factorising (3p 5)(p + 2) p p − −2, − A1 ft for establishing the critical values, oe, −2 A1 for < (or) > (do not accept < and p p p −2 −2 > ) p OR M1 for sketching = 3p² + 10 y p − A1 ft for establishing the critical values, oe, −2 A1 for < (or) > (do not accept < and p p p −2 −2 >) p
8 shaded region 5 M1 for drawing line x = 3 M1 for drawing line 3x + 2y = 6 M1 for drawing line y = x + 5 A2 for fully correct region shaded (A1 for correct shading for one inequality) 9 5.55 to 5.65 3 M1 for values 3, 1.5, 1, 0.7 to 0.8, 0.6, 0.5 (condone one error) M1 (dep) for substituting ‘values’ into trapezium rule, eg × 1 A1 for 5.55 to5.65 PAPER: AAL30_01 Question Working Answer Mark Notes 10 (a) −1, 2 2 M1 for correct method to factorise x² − x − 2 A1 cao (b) (3p − 5)(p + 2) > 0 p < −2, p > 3 M1 for factorising (3p − 5)(p + 2) A1 ft for establishing the critical values, oe, −2 A1 for p < −2 (or) p > (do not accept p < −2 and p > ) OR M1 for sketching y = 3p² + p − 10 A1 ft for establishing the critical values, oe, −2 A1 for p < −2 (or) p > (do not accept p < −2 and p >)
algebra_level_3_mark_scheme_-_january_2014.docx