Question Working Answer Mark Notes 14 = M1 + = or = oe y y x k(y x) k − M1 For isolating and on opposite sides eg = + ky−y=x+kx x y ky y x kx – y(k−1)=x(1+k) A1 Completing correct algebraic reasoning to conclusion 15 Proof to reach M1 for 100x = 43.636… (43.) 10x = 4.3636… (4.) and 1000x = 436.36….(436.) or M1 (dep) for finding difference that would lead to a terminating decimal A1 for completing algebra to reach 16 M1 for oe or = oe y = k k M1 for = oe k A1 for oe 17 Completes M1 Expands both expressions eg (n2 + + + + 2n + 2) or + and + + 2n + 2 n n2 n n2 n n2 n or factorises (n+1)(n+n+2) C1 Completes proof with explanation and reference to (n+1)2 Paper: 1MA1/1H Question Working Answer Mark Notes 18 Correct B2 Correct enlargement (-1,-1.5), (-1,-3.5) (-2,-1.5) enlargement (B1 correct size, correct orientation in incorrect position 2 out of 3 vertices correctly or placed) 19 = 2x + 36 P1 starts process, eg by rearranging to find gradient, eg = 6 or or positions of y y B − and E P1 complete process to find position of or uses to find the gradient of M A P1 complete process to find equation of M A1 = 2x + 36 oe y 20 1+ B1 for a value for a known trigonometric ratio stated P1 for process to form 2 equations in and or one correct value stated a b P1 for complete process to to reach = 2 and = 1 a b
Question Working Answer Mark Notes 14 y = M1 y + x = k(y − x) or = k oe ky−y=x+kx y(k−1)=x(1+k) M1 For isolating x and y on opposite sides eg ky – y = x + kx A1 Completing correct algebraic reasoning to conclusion 15 Proof to reach M1 for 100x = 43.636… (43.) or 10x = 4.3636… (4.) and 1000x = 436.36….(436.) M1 (dep) for finding difference that would lead to a terminating decimal A1 for completing algebra to reach 16 M1 for y = k oe or = k oe M1 for k = oe A1 for oe 17 Completes M1 Expands both expressions eg (n2 + n + n2 + n + 2n + 2) or n2 + n and n2 + n + 2n + 2 or factorises (n+1)(n+n+2) C1 Completes proof with explanation and reference to (n+1)2 Paper: 1MA1/1H Question Working Answer Mark Notes 18 Correct enlargement B2 Correct enlargement (-1,-1.5), (-1,-3.5) (-2,-1.5) (B1 correct size, correct orientation in incorrect position or 2 out of 3 vertices correctly placed) 19 y = 2x + 36 P1 starts process, eg by rearranging to find gradient, eg y = 6 − or or positions of B and E P1 complete process to find position of A or uses to find the gradient of M P1 complete process to find equation of M A1 y = 2x + 36 oe 20 1+ B1 for a value for a known trigonometric ratio stated P1 for process to form 2 equations in a and b or one correct value stated P1 for complete process to to reach a = 2 and b = 1
08b_1ma1_1h_-_november_2017_mark_scheme.docx