Mathematics > A/As Level Mark Scheme > GCE Mathematics A H240/03: Pure Mathematics and Mechanics. Advanced GCE Mark Scheme for Autumn 2021. (All)

GCE Mathematics A H240/03: Pure Mathematics and Mechanics. Advanced GCE Mark Scheme for Autumn 2021. Download to score A+

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H240/03 Mark Scheme October 2021 6 Question Answer Marks AO Guidance 1 B1 B1 B1 1.1 1.1 2.2a 2 y x = drawn correctly – must pass through the origin and (roughly) symmetrically about the ... y-axis x y + = 2 drawn correctly – must have positive y-intercept and negative gradient Correct identification of region (dependent on both previous B marks) – ignore shading if R correctly labelled Line need not intersect the x-axis and intercepts need not be labelled [3] Condone dashed line/curve for full marksH240/03 Mark Scheme October 2021 7 Question Answer Marks AO Guidance 2 (a) (p h h h h 2 = + + − − + − )(4 4 2 4 4 cos60 )2 2 ( ) ( )( ) M1 1.1 Correct application of cosine rule = + + + − + − − (16 8 16 8 16 h h h h h 2 2 2 ) ( ) ( ) 2 2 p h = + 16 3 A1 2.2a AG – at least one line of intermediate working (must have p2 ...) Any errors or missing brackets then A0 [2] 2 (b) (16 3 4 1 ... + = + h2)12 ( )12 B1 1.1 For reference: 1 2 3 2 4 1 16     + h   or for 1 1 16 (1 ...) 2 2 (1 1 ... + = + + kh kh 2 2 )12 12 M1 1.1 Correct first two terms for their k k 1 ( 2 )2 1 1 2 2 ... 2! kh       −    + A1ft 1.1 Correct third term following through their k ( p h h = + − + )4 ... 8 512 3 9 2 4 A1 1.1   = = − 8 512 3 9 , (oe) SC if candidates assume that p h h = + + 4   2 4 and then substitute into p h 2 2 = + 16 3 to find  and then B1 for correct  and B1 for correct (so 2/4 max.) [4]H240/03 Mark Scheme October 2021 8 Question Answer Marks AO Guidance 3 2 2 2 + = d r B1 1.1 Or for a d ar 2 2 2 12 2 + = d r B1 1.1 Or for a d ar 12 2 1 6 1 + = + d d ( )2 or 2 12 2 1 + = + d d ( )2 M1* 1.1 S dependent on one etting up an equation in B markd or r on [Show More]

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