Exam (elaborations)

A-LEVEL Mathematics Paper 2 Mark scheme

Q Marking Instructions AO Marks Typical Solution 1 Circles correct answer AO1.1b B1 3 2 x  Total 1 2 Circles correct answer AO3.4 B1 20 Total 1 MARK SCHEME – A-LEVEL MATHEMATICS – PAPER 2 – SPECIMEN 6 of 20 Q Marking Instructions AO Marks Typical Solution 3(a) Uses a correct method for finding d d y x evidence for this includes sight of d d y x or d d x t and chain rule OR an attempt at implicit or explicit differentiation of a correct Cartesian equation or ‘their’ equation from part (b) AO1.1a M1 d d 2 3 x t t  d d 2 y t t  d d 2 2 3 y t x t  When t 2 d d 1 3 y x   ALT ( ) 2 3 y x 2  1 d d 1 3 2 2 3 y (x ) x    When t = –2 , x= –6 d d 1 3 2( 6 2) 1 3 3 y x       Obtains correct d d y x AO1.1b A1 Substitutes t = –2 (or x = –6) into ‘their’ equation for d d y x AO1.1a M1 Obtains correct simplified gradient of the curve FT ‘their’ equation for d d y x AO1.1b A1F (b) Eliminates t or makes tthe subject in one expression (evidence for this includes one equation with t as the subject or two equations with equal powers of t.) AO1.1a M1 3 t (x 2), 2 t (y1) 6 2 t (x 2) , 6 3 t (y1) ( ) ( ) 2 3 x 2  y1 ALT 3 t (x 2) 1 3 t (x 2) 2 3 y(x 2)  1 Finds a correct Cartesian equation in any form AO1.1b A1 Total 6